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Guy's Math & Astro Blog

Author Archives: gfbrandenburg

Some surprises with new astro gizmos

24 Friday Jan 2025

Posted by gfbrandenburg in astronomy, education, Optics, Telescope Making

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astronomy, Astrophotography, ATM, celestron, dobsonian, Optics, science, space, StarSense, Telescope, testing

Astronomy is moving so fast, it’s amazing.

We only truly discovered the nature of galaxies, of nuclear fusion, and of the scale of the universe a mere century ago.

Dark matter was discovered by Vera Rubin just over 40 years ago and dark energy a few years later, just before the time that both professional and amateur astronomers began switching over to CCD and later CMOS sensors instead of film

The first exoplanet was discovered only 30 years ago, and the count is now up to almost six thousand of them (as of 1/21/2024).

While multi-billion dollar space telescopes and giant observatories at places like Mauna Kea and the Atacama produce the big discoveries, amateur astronomers with a not-outrageous budget can now afford to purchase relatively small rigs armed with excellent optics and complete computer control, and lots of patience and hard work, can and so produce amazing images like the ones here https://www.novac.com/wp/observing/member-images/ or this one https://www.instagram.com/gaelsastroportrait?igsh=cjMzYWlqYjNzaDlw, by one of the interns on this project. Gael’s patience, cleverness, dedication and follow-through are all praiseworthy.

However, it is getting harder and harder every year for people to see anything other than the brightest planets, because of ever-increasing light pollution; the vast majority of the people in any of the major population centers on any continent have no hope of seeing the Milky Way from their homes unless there is a wide-spread power outage. Here in the US, such power outages are rare, which means that if you want to go out and find a Messier object, you pretty much cannot star-hop, because you can only see four to ten stars in the entire sky!

One choice is to buy a completely computer-controlled SCT like the ones sold by Celestron. They aren’t cheap, but they will find objects for you.

But what if you don’t want another telescope, but instead want to give nice big Dobsonian telescope the ability to find things easily, using the capabilities inside one’s cell phone?

Some very smart folks have been working on this, and have come up with some interesting solutions. When they work, they are wonderful, but they sometimes fail for reasons not fully understood. I guess it has something to do with the settings in the cell phone being used.

The rest of this will be on one such solution, a commercial one called StarSense from Celestron that holds your phone in a fixed position above a little mirror, and you aim the telescope and your cell phone’s camera at something like the top of a tower far away. Then it uses both the interior sensors on your cell phone and images of the sky to figure out where in the sky your scope is pointing, and tells you which way to push it to get to your desired target.

When it works, it’s great. But it sometimes fails.

You have to buy an entire set from Celestron – one of their telescopes (which has the gizmo built in) along with the license code to unlock the software.

You supply the cell phone.

The entire setup ranges in price from about $200 to about $2,000. You cannot just buy the holder and the code from them; you must buy a telescope too. I already had decent telescopes, which I had made, so I bought the lowest-priced one. I then unscrewed the plastic gizmo, and carved and machined connection to a male dovetail slide for it. I also fastened a corresponding female dovetail to each of my scopes. The idea was to then slip this device off or onto whichever one of my telescopes is going to get used that night, as long as I that has a vixen dovetail saddle, and put inexpensive saddles on several scopes I have access to.

Here are some photos of the gizmo:

NCA’s current interns (Nabek Ababiya and Gael Gomez) and I were wondering about the geometry of the angles at which StarSense would aim at the sky in front of the scope. My guess had been that Celestron’s engineers would make the angles of their device so that the center of the optical pencil hitting the lens dead-on at 90 degrees, and hence coning to a focus at the central pixel of the CMOS sensor, would be parallel to the axis of the telescope tube.

We didn’t want to touch the mirror, because it’s quite delicate. But as a former geometry teacher, I couldn’t leave this one alone, so along with Gael and Nabek I made some diagrams and figured out what the angles had to be if the axis of the StarSense app’s image were designed to be precisely parallel to the axis of the telescope.

In my diagram below, L is the location of the Lens, and IJCK is the cell phone lying snug in its holder. The user can slide the cell phone left and right along that line JD as we see it here, or into out of the plane of the page, but it is not possible to change angle D aka <CDE – it’s fixed by the factory molds to be some fixed angle that we measured with various devices to be 19.0 degrees.

Here is a version of the diagrams we made that showed what we predicted all the angles would be so that optical axis OH will be parallel to the tube axis EBD, and that lens angle ILH is a right angle. We predicted that the mirror’s axis would need to be tilted upwards by an angle of 35.5 degrees (anle HBD).

To our surprise, our guesses and calculations were all wrong!

After careful measurements we found that Celestron’s engineers apparently decided that the optical axis of the SS gizmo should instead aim the cell phone’s camera up by 15.0 degrees (angle BGH below). The only parallel lines are the sides of the telescope tube!

We used a variety of devices to measure angle FBD and MNC to an accuracy of about half a degree; all angles turned out to be whole numbers.

Be that as it may, sometimes it works well and sometimes it does not.

Zach Gleiberman and I tested it on an open field in Rock Creek Park here in DC back in the fall of 2024, using the Hechinger-blue 8 inch dob I made 30 years ago and still use. We found that SS worked quite well, pointing us quite accurately to all sorts of targets using my iPhone SE. The sky was about as good as it gets inside the Beltway, and the device worked flawlessly.

Not too long afterwards, I decided to try out an Android-style phone (a REVVL 6 Pro) so that I wouldn’t have to give up my cell phone for the entire evening at Hopewell Observatory. I was unpleasantly surprised to find that it didn’t work well at all: the directions were very far off. I thought it might be because the scope in question had a rather wide plywood ring around the front of its very long tube, and that perhaps too much of the field of view was being cut off?

Why it fails was not originally clear. I thought nearly every modern phone would work, since for Androids, it just needs to be later than 2016 and have a camera, an accelerometer, and gyros, which is a pretty low bar these days. However, my REVVL 6 Pro from T-Mobile is not on the list of phones that have been tested to work!

Part of my assumption that the axis of the SS gizmo would be parallel to the axis of the scope was an explanation that StarSense on had such a large obstruction in front of the SS holder, in the form of a wide wooden disk reinforcing the front of a 10″ f/9 Newtonian, that the SS was missing part of the sky. We now know that’s not correct. It’s an interface problem (ie software) problem.

We think.

Success with digital measurement of parabolic telescope mirrors

02 Saturday Nov 2024

Posted by gfbrandenburg in astronomy, astrophysics, Math, Optics, science, Telescope Making

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astronomy, ATM, data, FigureXP, foucault, measurement, millies-lacroix, paraboloid, Telescope

Alan Tarica, Pratik Tambe, Tom Crone and I have been pulling our hair out for a couple of years, trying to use cameras and software to measure the ‘figure’ of the telescope mirrors that we and others produce in our telescope-making class.

There has been progress, and there has been frustration.

I think we finally succeeded!

Some of the difficulties have been described in previous posts. In brief, we want our mirrors to be really, really close to a perfect paraboloid. There are many ways of doing those measurements and seeing whether one is close enough, but none of those methods are easy!

(By the way, one needs the entire mirror to be within one-tenth of a wave-length of green light of that ideal paraboloid! That’s extremely tiny, and equivalent to the thickness of a pencil over a ten-mile diameter!)

I think I can finally report a victory. My evidence is this graph that I made just now, using data that Alan and I gathered last night with our setup, which consists of a surveillance camera coupled to an old 35mm SLR film camera lens, which is mounted on a linear actuator screw connected to a stepper motor controlled by an Arduino and a Python app developed by Pratik.

Something seemed to be always a bit — or a lot — ‘off’.

Until today, when I converted everything to millimeters and used the criterion set out by Adrien Millies-Lacroix in an article he wrote in Sky & Telescope back in 1976.

The blue dots just above the x-axis are the measurements for this one particular mirror with a diameter of 8″ and a radius of curvature of 77 inches.

The dotted blue curve in the middle of the image is the best-fit parabola for those dots. Notice that the R-squared value (variance) for that curve is not great: 0.3599.

But that variance isn’t important. What is important is the green and orange blobs and curves above and below the blue ones.

The green and orange curves are the upper and lower allowable limits for the measurements of this particular mirror, using the

Clearly, the blue dots are all well within the green and orange curves.

Which means that this mirror is sufficiently parabolized.

The fact that the blue dots don’t fit the dotted line perfectly, and behave pretty oddly at positive or negative 80 millimeters, both agree with the fact that we can see on the photos that the surface of this mirror is rather rough, as you can see in the images below. Note also that the image labeled ‘Step 6’ found not one, but two null zones on the right, indicated by two vertical blue lines.

So, finally, we have an algorithm that gives good measurements! What I still want to do is to automate all the spreadsheet calculations that I just did today. Perhaps we can upload them to something like FigureXP by Dave Rowe and James Lerch.

Thanks very much to all those who have helped, whom I should look up and name here.

Caveat: This method can give really ridiculous measurements close to the center and close to the edge.

PS: if anybody wants the raw data, just email me at gfbrandenburg at gmail dot com.

Free Open House at Hopewell Observatory in Northern Virginia, October 26 or 27

16 Wednesday Oct 2024

Posted by gfbrandenburg in astronomy, Hopewell Observatorry, Optics, Safety, science, Telescope Making

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astronomy, dobsonian, Hopewell Observatory, observatory, OnStep, space, Telescope

Come to Bull Run Mountain for a free night under the stars looking at a variety of targets using the telescopes at the Hopewell Observatory on Saturday, October 26, 2024. If it’s cloudy, we will try again on the next evening, Sunday the 27th.

You are invited, but will need to RSVP and, in this litigious age, must agree to a waiver of liability for anything that might happen up there, like tripping over rocks and trees. The waiver also includes detailed driving directions.

Click here for the RSVP form: 

But if you take the risk you can view, for free, Venus, Saturn and its rings, Jupiter and its moons, Uranus, Neptune, the current comet Atlas, the Milky Way, and a whole bunch of nebulae, galaxies, Messier objects, and beautiful double stars.

We suggest arriving near sundown, which will happen near 6:15 PM. It will get truly dark about an hour later. You can stay until midnight, if you like.

There are no street lights near our observatory, other than some dimly illuminated temporary signs we put along the path, so you will probably want to bring a flashlight of some sort. In the operations cabin we have a supply of red translucent plastic film and tape and rubber bands so that you can filter out everything but red wavelengths on your flashlight. This will help preserve everybody’s night vision.

Hopewell is located on the first ridge of the Appalachian mountain chain that you see as you drive west from the DC beltway, near Haymarket. Our elevation is about 1100 feet, and we have much less of a problem with dew than other observing spots in northern Virginia. The last two miles of road are dirt and gravel, and you will need to walk about 200 meters/yards from where you park. Some parts of the road are pretty rough, so don’t drive anything with low clearance underneath. Our parking spaces are pretty limited, so consider car-pooling if possible. Handicapped persons or telescopes can be dropped off at the observatory.

We do have electricity, and a heated cabin, but since we have no running water, we use bottled water, hand sanitizer, and a pretty nice outhouse. We will have the makings for tea, coffee, and hot cocoa in that cabin.

If you like, you can bring a picnic dinner and a blanket or folding chairs, and/or your own telescope or binoculars, if you own one and feel like bringing them. We have outside 120VAC power, if you need it for your telescope drive.

At this time of year, the bothersome insects have mostly gone dormant, but feel free to use your favorite bug repellent, (we have some). Remember to check yourself for ticks after you get home.

We have a variety of permanently-mounted and portable telescopes of different designs, some commercial and some made by us. Two of our telescope mounts are permanently installed in the observatory under a roll-off roof. One of the mounts is a high-end Astro-Physics mount with a 14” Schmidt-Cassegrain and a 5” triplet refractor. The other mount was manufactured about 50 years ago by a firm called Ealing, but the motors and guidance system were recently completely re-done by us with modern electronics using a system called OnStep. We didn’t spend much cash on it, but it took us almost a year to solve a bunch of mysteries of involving integrated circuits, soldering, torque, gearing, currents, voltages, resistors, transistors, stepper drivers, and much else. We could not have completed this build without a lot of help from Arlen Raasch, Prasad Agrahar, Ken Hunter, and the online “OnStep” community.

We also have two home-made Dobsonian telescopes (10″ and 14″ apertures) that we roll out onto our lawn, and have been lent a pair of big binoculars on a parallelogram mount.

The location of the observatory is approximately latitude 38°52’12″N, longitude 77°41’54″W.

Click here for the RSVP form to get detailed directions. You must sign the waiver to visit. If we cancel on Saturday the 26th because of bad weather, we will notify you by email and will try again on Sunday the 27th.

An amazing little telescope

06 Tuesday Aug 2024

Posted by gfbrandenburg in astronomy, astrophysics, Optics, science

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alt-az, astronomy, electronics, focus, Hopewell Observatory, light pollution, optical tube assembly, Optics, refractor, solar system, Telescope, Washington

Look what this little thing can do that I’ve always failed at myself, even with an entire observatory at my disposal: take decent astrophotos.

Here it is on a home made tripod, taking photos of the sun. Notice the reflective solar filter. Here are two images:

The device woke up, and after less than a minute of self’s-calibration, it pointed very accurately at the sun and focused itself perfectly. It produces a continuous feed; I even did 100 frames of a time-lapse. It’s all stored on my cell phone but I can share the photos or even live views with folks nearby.

And from night time spots here in DC and NOVA:

This can take tolerable astrophotos even when surrounded by streetlights!

.

Recent Photos at Hopewell

04 Thursday Jul 2024

Posted by gfbrandenburg in astronomy, Hopewell Observatorry

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astronomy, ealing, Ealing mount, Hopewell, Hopewell Observatory, Moon, planet, solar system, Telescope

These were made by Gael Gomez, a recent HS grad who visited on Monday, July 1.

The Ealing mount, looking south
The Milky Way — which doesn’t look this great to the naked eye
Dumbbell Nebula
Waning crescent Moon
M13, great Hercules globular cluster
Saturn, seen edge-on

No Night-time Golf Driving Range or Mass Tree-Cutting in Rock Creek Park!

03 Friday May 2024

Posted by gfbrandenburg in Uncategorized

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Dark Sky, Golf Course, light pollution, National Park, nature

Have you ever visited the golf course at Rock Creek Park in Washington, DC? Despite driving around it thousands of times, I never walked on it until today. Yesterday, I gave insufficiently-informed testimony against a proposed redevelopment of the golf course. Here is what I said, and what I should have included as well.

Hello. My name is Guy Brandenburg. I am a DC native and the current president of National Capital Astronomers, or NCA, a local educational and scientific non-profit astronomy club. I also teach at a school that is directly across 16th Street from the Rock Creek Golf Course!

I and every member of NCA that I’ve spoken to are opposed to installing a brightly-lit night-time golf driving range there.

Right now, the golf course is one of the most nearly pristine areas of the District of Columbia. Installing a illuminated, night-time golf driving range will have a very severe impact on all night-loving creatures in that part of the park. Those creatures include not only insects, birds, four-footed mammals and plants, but also humans nearby.

One special reason for my testimony is that members of my club have been, literally, holding “Exploring The Sky” sessions for the public inside Rock Creek Park, every month except winter, in conjunction with National Park Service Rangers stationed at the Nature Center and Planetarium, for over 75 continuous years, only a short distance from this driving range.

The field where we show planets, stars and galaxies to the public, at no cost, including on Saturday, May 4, two days from now, if the weather is clear, is located just south of the intersection of Military Road and Oregon Avenue – roughly 4200 feet (less than a mile) away from these new lights. Despite today’s testimony by Jamie Herr about the lights, I fear that those new lights will make observing the sky from our site nearly impossible and also affect residents along upper 16th street.

[Addition: My fear was justified. Physics says no such lights exist. Photons go on forever in straight lines unless absorbed, bent, or reflected; they don’t stop after 50 yards! Also, the developers are flat-out lying when they assure the readers that Dark Sky International (DSI) has already approved this lighting plan! I know some of the DSI activists here in DC, and they are hopping mad about this!]

[Addition: I challenge the National Links Trust to show us an example of a night time illuminated golf driving range with this magical 50 yard lighting, anywhere in the world!]

A brightly-lit installation in Rock Creek Park completely contradicts the policy that induced the Park Service to turn off all of the street lights on all of the roads in the park, many years years ago.

I wish more publicity had been given to this night time illumination plan. Previously, I had only heard about the cutting of mature trees. More review of this issue is needed by the local and national DSI.

Yes, I’m biased: I love being outside in a field at night during clear weather. One of my first dates with my wife, over 40 years ago, was a night-time stroll on a moonlit golf course in College Park, serenaded by owls.

Night time is the only time that people can see into the deep universe with their own eyes and see the Milky Way and the stellar furnaces that produced the very molecules that we are all composed of. But wasted, useless lighting at night (or WULAN) – like what I fear this proposed driving range will cause- make it impossible for people to see any of this. As an aside, even if there are habitable planets somewhere, the laws of physics and the vast distances mean there is no way at all to ever reach them. There is no planet B. We do not need to pave over, poison, and light up all of this planet, and especially not this lovely national park!

The current state of this little-used golf course is actually quite lovely. It’s a series of open meadows in the heart of the Nation’s capital, surrounded by large trees. Not being a golfer, the only changes I would recommend would be to remove the invasive alien vines that are smothering so many of those trees.

Let us not bulldoze and light up this lovely set of meadows, and let us review the lighting proposal again.

Guy Brandenburg

[Final addition: The current golf course is an amazing gem, hidden from almost everybody! Until today, I never, ever visited the place, and didn’t know anybody who had. I never even knew where it was until about a week ago, and only today (May 3, 2024) did I at last step on its grounds, though I’ve driven right by it many thousands of times and am a DC native!!!

I am amazed.

The golf course is composed of huge trees that surround amazingly beautiful and almost bucolic meadows! Right in the middle of DC! Much like the Arboretum but wilder, and much nicer than, say, the Franciscan Monastery or Howard Divinity School, or the Old Soldier’s Home!

I was flabbergasted! This golf course incredibly beautiful – in a way that most hyper-manicured golf courses are NOT.

I do think that the landscaping and vegetation need a LOT of serious gardening work, especially since there are lots of really nasty, invasive, alien vines there like English ivy and ‘tear thumb” (persicaria perfoliata). As I strolled and took photos on the ‘back nine’, I saw not a single person for 20 minutes.

As a long-time gardener and one-time farmer, I have a lot of horticultural suggestions for improvements, but the idea of cutting over a thousand big trees, simply because they overshade some of the grass, is obscene! Frankly, that shade makes those lanes much nicer to walk along if it’s hot and sunny — unlike the unshaded National Mall where it gets hot as hell!

But basically, the RCGC s very beautiful as it is, even without any improvement! I even found a pond filled with cattails and bullfrogs, and thickets with lots of wineberries, raspberries and blackberries, blooming right now.

I wish I had known about the place earlier, when I was raising my kids and grandkids! I encourage everyone to go visit, whether you play golf or not! (I do not, but I can see how it might be a great thing to do on this mostly-natural set of meadows, instead of the totally artificial and highly-poisoned typical US golf course.)

Yes, it needs a lot of serious gardening help, but let us not commit obscenities by cutting over a thousand big, beautiful hardwood canopy trees and lighting it all up with a driving range! ]

What if Every Person in the USA, Mexico, and Canada Tried to View the Eclipse Monday?

03 Wednesday Apr 2024

Posted by gfbrandenburg in Uncategorized

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eclipse, population, totality

The answer is surprising.

If each person living in the US, Canada, and Mexico were to travel to the zone of totality on April 8, 2024, it would clearly be an impossible transportation nightmare.

However, if we were somehow able to spread ourselves out evenly, the end result wouldn’t be so bad: only about 4 people per acre! (Or 8 per hectare.)

The eclipse will traverse around 3,000 miles from Mazatlan to Newfoundland, and the zone is on average about 110 miles across. Multiplying those two numbers gives the total area: about 330,000 square miles.

The USA has about 330 million people, Mexico about 120 million, and Canada has a bit under 40 million. Adding those numbers gives about 490,000,000 people. If we divide the total number of people by the total number of square miles, you get about 1500 per square mile.

Now a square mile is defined as 640 acres, so if we divide that 1500 people per square mile by 640 acres per square mile, you get around two and a half people per acre — or roughly five people per hectare…

But of course having everyone spread out evenly like that would be impossible!

Happy New Year! My ‘President’s Corner’ Article for StarDust, January 2024

01 Monday Jan 2024

Posted by gfbrandenburg in Uncategorized

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President’s  Corner, January 2024

  1. Happy New Year! Scientists have proved that folks who celebrate more New Years tend to live longer! If you made it this far, then congratulations! What are your astronomical plans for this new year?
  • Vera Rubin in the News: You do realize that January 1 is a pretty arbitrary point on our helical journey around the G-class star we call the Sun, as it travels around the super-massive black hole at Sagittarius A*. You may have seen a nifty (but not 100% accurate) animation (e.g. https://www.universetoday.com/107322/is-the-solar-system-really-a-vortex/ ) that shows how the Earth and all the other planets travel on a corkscrew path around the Sun as we all orbit the center of the Milky Way.
  1. Vera Rubin, an early member of NCA, and a long-time DC resident, was featured in the December 2023 issue of Astronomy ( https://www.astronomy.com/science/vera-rubin-found-a-lifetime-of-wonder-in-the-dark-skies/ ) magazine because (as you probably know) she found through careful research that the speeds of stars like ours, as they orbit around their galaxies, don’t make sense if you add up all the known mass and crank out the Newtonian formulas for gravity and their speeds. The stars near the edges of galaxies go just as fast as the ones near the middle, which is NOT true in, say, our solar system, where Mercury travels at 48 km/s, Earth goes 30 km/s, and Neptune’s speed is 5 km/s. So far, nobody has found the missing ‘dark matter’ that would make these speeds work on galactic scales, and no astrophysicist has (to my knowledge) come up with modifications to Newtonian dynamics that both satisfy all the other laws of physics and also solve the problem. We have a profoundly open question, thanks to this pioneering astronomer’s work!
    1.  This interview with Rubin was quite revealing, especially regarding the sexist obstacles she faced: https://www.historicchevychasedc.org/oral-histories/vera-rubin/.
    1. While it is a shame that Vera was never awarded a Nobel prize for her work, NASA and others did rename the Large Synoptic Survey observatory in Chile after her in 2019, and it should be in full operation after we make one more turn around the Sun. (See https://rubinobservatory.org/ and also the December 2023 monthly talk for Northern Virginia Astronomy Club https://www.novac.com/wp/ ).
  • The NCA website( https://capitalastronomers.org/ ) is up again, thanks to our fearless web wrangler, Elizabeth Warner!
  • If you are not a member of the NCA email list-serve, and would like to join it, just send an email to  capitalastronomers+subscribe@groups.io . It makes no difference what you put in the subject line or body of the email.
  • Reminder thatJanuary’s meeting will be strictly virtual. The URL to log in can be found elsewhere in this month’s issue.
  • You already know that on April 8, a total solar eclipse will make its way across the Pacific Ocean to Mexico, a highly-populated area of the central USA, and eastern Canada.
  1. If you have never seen a total eclipse, then I highly recommend you make plans to do so at least once it your lifetime. It’s the only time you can see the sun’s chromosphere and corona with your naked eyes. It inspires awe in me every time I see it, and I have seen no photo or video that does it justice. Partial eclipses are nice, but nothing beats totality for making you realize that we are only 8 light-minutes away from the incredibly massive thermonuclear reactor that is responsible for our very existence.
    1.  If you are planning to go, but don’t already have lodging along the path of totality, a very brief online search suggests that hotels and motels in the zone of totality (e.g. Dallas) seem to have doubled or tripled their rates for the event (understandably). However, there are plenty of other motels that are located within 100 miles of that strip, at much lower prices. Given the great US interstate highway system, it should not be too hard to drive from such a motel to somewhere inside the zone of totality on the morning of the event, even if traffic is heavy.
    1. The lowest probability of clouds along the entire path is at Mazatlàn, but the crime situation today in Mexico is just too scary for me.
    1. My wife and I have arranged for an Airbnb somewhere in Austin and are probably driving from DC to that address, and probably staying put for the event unless a forecast for clouds impels us to drive somewhere else.
    1. I think I’ll bring my own Coronado PST and the 6” scope that I re-made as a travel scope for the 2017 eclipse.
  • We are putting in an order for hundreds of NCA-branded, safe, solar eyeglasses for NCA members to give away at this and other events. The board has discussed the issue, and my decision as president is that these should be given away, not sold. Why?
  1. Jeff Norman, our assistant secretary-treasurer investigated, and found that while NCA is a non-profit, we would still be required to calculate and collect sales tax and give receipts for each one that we sold; we would need to then pay those funds to the District of Columbia. This is way too much trouble and work for Jim Simpson (our secretary-treasurer) and Jeff, for a relatively small amount of money.
    1. Fewer and fewer people even carry dollar bills or quarters in their pockets or purses, and we definitely don’t want to go through the hassle of doing electronic payments for a dollar or less.
    1. Cash donations from the public might need documentation.
    1. I think the best thing is to use any interaction with the public to recruit any interested person to sign up as a new NCA member at our website and to help out at similar events.
    1. No other astronomy club that I know of is charging the public for these, and we would appear to be less than generous.
    1. If a current NCA member would like to reimburse the club, at roughly the final cost ends up being, for a large quantity of them that you would like to give out at some event, that would be great, but not required.
  • If you decide to stay in the DMV area for the event, you can help the public enjoy the partial eclipse at the National Air and Space Museum on April 8 with a variety of optical aids, including live feeds from totality. The NCA Hydrogen-alpha double-stack Solar Max telescope will be available for use.
    • If you are interested, there are several different designs for inexpensive, safe DIY solar viewers. Here is a fairly original one: https://richardsont.people.cofc.edu/safe_solar_folder/the_2-lens_SSV.html . I have made one of these with leftover floorboards, and I have purchased some extra lens sets from Surplus Shed so you can make your own out of wood or cardboard, either at the Chevy Chase Community Center or anywhere you like.
    • However, it  appears that the safe solar viewer in 8a works much better with an achromatic doublet than with the singlet lens in the original design, because the sunspots are not obscured by bluish tinges. I will try that soon.
    • Sun funnels and solar projection ( https://eclipse2017.nasa.gov/make-sun-funnel or https://eclipse.aas.org/eye-safety/projection  ) can work, but not all eyepieces can stand the heat.
    • Please warn people not to look through any scope at the sun without proper solar filters at the front end of the scope!
    • The sun is putting on quite a show so far this cycle; who knows what will happen in 2024?
  •  John Hornstein reminds us that we still need an NCA member (that is, one of you reading this) to volunteer to be our next vice-president starting in June. This person will be in charge of finding speakers for our monthly meetings, introducing those speakers, and finding candidates for our elected board for the next year. We have a wealth of top-notch astronomical entities in the area (Goddard, Carnegie, STSI, and the Naval Research Lab, to name just four), and many of their staff are more than happy to share their research with us, if we ask them nicely. Plus, we can have remote speakers from all over the world!
  1. Annual dues for regular members are increasing to $15 as of September 2024.
  1. Student dues will stay put for now at $5/year.
    1.  In 2025, regular dues will go up again, to $20/year, and student dues will rise to $10/year.
    1. If you want to sign up for a three-year membership, that will also increase next year, to $35, but life memberships will stay at $200.
  1. Exploring the Sky will start up again on April 6, but with a new contact person and planetarium operator, since Ranger Renée Maher is moving to a new position in the NPS .
    1. Renée will be sorely missed. She was the person who came up with the idea of holding planetarium shows and telescope observing on the same evening, which worked out extremely well. She is a great planetarium operator and story teller, and has been great fun to work with as well. She emailed me that she has done many of the steps needed to make sure the joint NCA-NPS-EtS program continues as we did last year, but she doesn’t know who the new contact person will be will be, or even the new supervisor. Her last day at the Rock Creek Nature Center is January 13.
    1. Here is the tentative schedule for these events, as proposed by Jay Miller and me. All dates are on Saturdays, and all times are PM, local time for the DMV region. They are designed so as to not interfere with monthly NCA meetings or national holidays, and to begin somewhere between the end of civil and nautical twilights.
    1. Anybody bringing a telescope is advised to begin setting up earlier than the official starting times, if at all possible.
MonthDaySunsetCivil TwilightNautical TwilightAstro- nomical TwilightPlanetarium Show StartsExploring the Sky Starts
April67:378:048:369:097:308:30
May48:158:449:209:588:009:00
June18:288:599:3810:238:009:00
July138:339:049:4310:278:009:00
August108:088:379:129:497:308:30
September77:287:558:278:597:008:00
October56:437:107:418:126:307:30
November26:056:337:057:366:007:00
  • We always need folks who either have scopes or who have information they can share with the public. While Rock Creek Park no longer has the dark skies it did two centuries ago, this event may be the only chance that members of the public will have of seeing the Moon, the planets, and other bright objects with their own eyes, in real time, rather than in a photo.
  • The planetarium shows occur rain or shine in the Nature Center. Obviously, the telescope observing part of the event will depend on the weather.
  • I want to thank all of the folks who have brought their scopes to these events this year and during past years. I especially want to thank Jay Miller for organizing the NCA side of this for many years no2.
  1. In the next few months, local counties and cities in the DMV area will host science/STEM fairs. We appear to have sufficient NCA volunteers (thanks!) but we could aways use some more.

Space Travel **to Any Exoplanet** is Impossible. Stop Messing Up our Home!

08 Friday Dec 2023

Posted by gfbrandenburg in astronomy, astrophysics, History, nature, Safety, science, Uncategorized

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air, earth, exoplanets, extinction, fossil fuels, galaxies, heaven, hell, life, light years, Moon, planets, space, space travel, stars

When I show people things in the sky with a telescope, I want to help them to realize how lucky we are to live on a nice, warm, wet little planet in a relatively safe part of a medium-large galaxy.

I also want them to realize that if we aren’t careful, we could turn this planet into one of those many varieties of deadly hell that they are viewing in the eyepiece.

We should be very thankful that this planet got formed in a solar system that had sufficient oxygen, silicon, iron, nitrogen, and carbon for life as we know it. We are fortunate that all of those ‘metals’ I just listed (as astronomers call them) got cooked up in cycle after cycle of stars that went boom or whooshed their outer layers into the Milky Way. We are lucky to be alive at the far multicellular side of the timeline of life on Earth*, and that no star has gone supernova in our neighborhood recently or aimed a gamma-ray burst directly at us.

We are exceedingly lucky that a meteorite wiped out the dinosaurs 65 million years and allowed our ancestors, the mammals, to take over. We can rejoice that most of us in the USA can have our physical needs (food, shelter, clean water, clean air, and communication) taken care of by just turning a knob or a key, or pushing a button, instead of hauling the water or firewood on our backs. (There are, obviously, many folks here and abroad who live in tents and who have essentially none of those nice things. We could do something about that, as a society, if we really wanted to.)

I am often asked whether there is life elsewhere. My answer is that I am almost positive that there are lots of planets with some form of life in every single galaxy visible in an amateur telescope. But there is no possible way for us humans to ever visit such a planet. Nor can aliens from any exoplanet ever visit us, whether they be single-celled organisms or something you would see in a Sci-Fi movie.

Yes, it is possible to send a handful of people to Mars, if we are willing to spend enormous sums of money doing so, and if the voyagers are willing to face loss of bone and muscle mass, and the dangers of lethal radiation, meteorites, accidental explosions, and freezing to death. If they do survive the voyage, then by all means, let them pick up some rocks and bring them back for analysis before they die.

But wait: we already have robots that can do that! Plus, robots won’t leave nearly as many germs behind as would a group of human beings. And we already know a lot about how Mars looks, because of all the great photos sent back by ESA, JAXA, NASA and others for some decades now. You can see photos taken by NASA at JMARS, which I highly recommend. (https://jmars.asu.edu/ )

While one can justify sending a few brave folks to Mars for a little while, it is completely insane to think that we can avoid our terrestrial problems by sending large populations there. Mars is often colder than Antarctica, is close to waterless, has poisonous perchlorates in its soil, no vegetation whatsoever, and no atmosphere to speak of. How would millions or billions of exiles from Earth possibly live there? Do you seriously think they can gather enough solar energy to find and melt sufficient water to drink and cook and bathe and grow plants and livestock in the huge, pressurized, aluminum cans they would need to live in? No way.

I wish there was some way to get around the laws of physics, and that we could actually visit other exoplanets. But there isn’t, and we can’t. I’ve seen estimates that accelerating a medium-sized spaceship to a mere 1% of the speed of light would require the entire energy budget of the entire human population of the planet for quite some time. (For example, see https://physics.stackexchange.com/questions/447246/energy-requirements-for-relativistic-acceleration ) 

Let us assume, for the sake of argument, that you could actually generate enough energy to accelerate that spaceship with nuclear fusion or something else that doesn’t violate the laws of physics as far as we know.

The next problem is the distance. It’s a bit over 4 light years to the nearest known exoplanet in a straight line, (compared with under 2 light-seconds for the Moon or about 35 light minutes for Jupiter). The table below gives the number of planets lying each extra solar system that are thought to be terrestrial (as opposed to gas giants) and to be within their stars’ habitable zones. Nobody knows if there is any life on any of those planets right not, but it is possible that astronomers may one day figure out a very effective way to test for extra-solar life. Let us suppose that a few of the ones in this list do have breathable atmospheres and are neither too cold nor too hot, have a fair amount of liquid water, and are protected from nasty radiation by magnetic fields and belts.

Unfortunately, a one-way trip to Proxima or Alpha Centauri for any possible spaceship, at one percent of the speed of light, (3,000 km per second), in a straight line, and pretending that you don’t need years and years to both accelerate and decelerate, would take over four centuries. And that’s for the very closest one! All the other planetary systems are many multiples of that distance! See this or this table:

Our fastest spacecraft so far, the Parker Solar Probe, reaches the insanely fast speed of 190 km/sec, but that’s still fifteen times slower than my hypothetical 1% of c. At the speed of Parker, it would take around six thousand years to reach the Proxima Cen planetary system! If all goes well!

Do you seriously think that a score or so generations of humans would all agree, century after century, that they, and their descendants — born and raised in a big metal box rushing through space — for the entire 400 years, would consent to live in a large metal box with no gravity to speak of, subject to who knows how many blasts of gamma rays, x-rays, and super-high-energy cosmic particles? What are the chances that each single generation would agree to stay the course and that not a single meteorite going the other direction, over a course of four centuries, would happen to smash into the space ship and instantly disable all the life support systems and kill all the passengers, quickly or slowly?

And how do you keep alive all the animals we would need to feed us upon arrival? I guess you compost all the poop from all the cattle, chickens, and so on. But do you also bring zillions of insects and tons of plant seeds as well, knowing full well that if you do so, then you lose the vast majority of the information you could have learned about an actual, functioning, extra-solar ecosystem like nothing we can possibly imagine.

The argument is made that perhaps the travelers would be put into suspended life. If that were possible, and nothing went wrong, upon arrival, they could take a triumphant group selfie and put it into a radio message back to Earth saying, “Hi, we made it, wish you were here…” That reply will of course take four years to reach Earth. Would people back on Earth still remember the handful of people who began the trip out, made over four centuries earlier? What will the humans back on earth remember about the absolutely prodigious effort expense that their ancestors had made to build and power that rocket, 20 generations or so earlier?

Let us suppose they have the tremendous luck to find, after 4 to 10 centuries of travel, a nice warm exoplanet with water, oxygen-producing life, and air that we can breathe.

Unfortunately, there is an overwhelming chance that there would be no humanoids or any other Sci-Fi characters. The chances are that creatures that look like insects, crustaceans, fish and salamanders are the most highly-organized life forms – at best; after all, for most of the existence of life on earth, it was single-celled organisms! Our travelers would have to have to build an entire urban and agricultural infrastructure *from scratch*, with no help. They could only do that if the plants and animals they brought from Earth are able to flourish.

The return trip, if desired, would of course take another four or more centuries, if the handful of travelers can find a proper power source and if they can figure out how to create, completely from scratch, an entire agricultural and industrial instructure. They would have to figure out where the natural resources of that planet (wood? minerals? energy sources?) are located, and how they can make use of them, to build something like the incredibly precise absolutely enormous rocket-building industries we have here, on a hypothetical planet that has never even had any mammals living on it.

If these voyagers should run into any technical problem while doing trying to build a modern civilization from nothing, fat chance of getting a prompt reply from Earth, since the question would take years to reach its home base back here!

Yes, the very closest exoplanets are a mere 4 LY away, but the others are all much, much farther away, so one-way trips for ones within 10 parsecs, i.e., in our tiny corner of our galaxy, at one percent of the speed of light, would require a thousand to three thousand years to reach. Each way.

Forget it. Just send a radio message, and see if we get a reply. Oh, wait – we’ve been doing that for several decades so far. No reply so far.

Speaking of radio – it’s only 120 years since Marconi first sent a very crude radio message from a ship to a station on land, and now we routinely use enormous parts of the entire electromagnetic spectrum for all sorts of private and public purposes, including sending messages like this one. Astronomers are able to gather amazing amounts of information via the longest radio waves to the very shortest gamma rays and make all sorts of inferences about worlds we have never seen at optical wavelengths. In addition, we have begun detecting gravity waves from extremely distant and powerful events with devices whose accuracy is quite literally unbelievable.

There is no planet B. We must, absolutely must, take care of this one, lest we turn into one of those freezing or burning variations of hell that we see through our eyepieces. Think I’m being alarmist? We now know this nice little planet Earth is more fragile than we once believed. It has been discovered that life was almost completely wiped out on this planet several times. The Chixculub impact I mentioned earlier, the Permian extinction and Snowball Earth are just three such events.

More recently, folks thought it was impossible for people to cause the extinction or near-extinction of the unbelievably huge flocks and herds and schools that once roamed the earth: passenger pigeons, buffaloes, cod, salmon, redwoods, elms, chestnuts, elephants, rhinos, tropical birds, rainforests, and so on, but we did, and continue to do so. The quantities of insects measured at site after site around the world have plummeted by 30 to 70% and more, over just a few decades, and so have the numbers of migratory birds observed on radar feeds. Light pollution, the bane of us amateur and professional astronomers, seems to be partly responsible for both the insect and bird population declines. The rise in the levels of atmospheric carbon dioxide and global temperatures are very scary.

In addition, we are dumping incredible amounts of plastic into the oceans, and rising water temperatures are causing coral reefs around the world to bleach themselves and die, while melting glaciers are causing average sea levels rise and threaten more and more low-lying cities.

What’s more, only a very tiny fraction of our planet’s mass is even habitable by humans: the deepest mine only goes down a few miles, and people die of altitude sickness when they climb just a few miles above sea level. Most of the planet is covered by ocean, deserts, and ice cap. By volume, the livable part of this planet is infinitesimal, and the temperatures on it are rising at an alarming rate.

Will we be able to curb the burning and leaking of fossil fuels sufficiently so as to turn around the parts of global warming caused by increases in carbon dioxide and methane? I am not optimistic, given that the main emitters have kept essentially none of the promises that they have been making to those various international gatherings on climate, and graphs like this one, taken from: https://ourworldindata.org/fossil-fuels

I have been wondering whether we may need to reduce temperatures more directly, by putting enough sulfur compounds into the stratosphere. We have excellent evidence that very violent volcanic eruptions have the power to lower global temperatures with the sulfates they put into the stratosphere. It would not be great for ground-based astronomy if such compounds were artificially lofted high into the atmosphere to lower global temperatures, and we won’t know for sure exactly which areas of the planet would benefit and which would be harmed, but at least it’s an experiment that can be stopped pretty easily, since the high-altitude sulfates would dissipate in a few years. High-altitude sulfur compounds do not seem to cause the obvious harm that SO2 does at the typical altitude of a terrestrial coal-burning power plant.

Adding iron to the oceans to increase the growth of phytoplankton, which then consumes CO2, dies, and settles to the bottom of the ocean, has been tried a number of times, but doesn’t seem to have a very large effect.

I agree that large-scale injection of sulfates into the stratosphere is scary. I also agree that there is a whole lot of unknown unknowns out there and inside of us, and we are being very short-sighted, as usual.

  • We have mapped the far side of the moon better than we have mapped the floors of Earth’s oceans – yet permits are being filed right now to begin deep-ocean dredging for manganese nodules, which will enrich some folks greatly. Unfortunately, that dredging is bound to utterly destroy those slow-growing ecosystems, before we even know what’s down there in the first place!
  • We continue to dump unbelievable amounts of plain old trash, fish nets, fishing lines, live ammunition, modern warships and hazardous chemicals into the oceans.
  • While the waters and atmosphere of the USA are much, much cleaner now than they were when I was a kid in the 50s and 60s, places like Delhi or Beijing are so polluted that folks can barely see the sun on a clear day.
  • If dark matter and dark energy really do exist, that means that scientists have absolutely no idea what 96% of the universe is made of!
  • If dark matter and dark energy don’t exist, then that means that astrophysicists don’t understand long-distance gravity and physics nearly as well as they thought. The late Vera Rubin (a past NCA member who should have won a Nobel for her careful measurements of the rotational measurements of galaxies that led to the Dark Matter hypothesis) once told me when we were co-chaperoning a field trip to the Smithsonian for the Carnegie Institution for Science’s Saturday program for middle-schoolers, that she thought that the entire question is perfectly open. I think she’s still correct.
  • If the Big Bang is real, then how come the Webb is seeing fully-formed galaxies as far back in time as it can see?
  • Do the alternative theories to the Big Bang (eg, Burbridge’s hypothesis that matter is being created in the centers of active galactic nuclei) make any sense?

But — does anybody have better solutions?

Can we engineer our way out of the mess we are making on this planet – the only home that humans will ever have?

There is cause for optimism:

  • Our NCA speaker this month, Deborah Shapley, will tell how, almost exactly a century ago, astronomers finally figured out that the Milky Way was just one of many billions of other galaxies. Since that time, the amount of astronomical information gathered has been staggering, as has the efficacy of the instruments!
  • After scientists figured out what was causing the ozone hole, every single agency and government in the entire world passed and enforced regulations that banned those chlorofluorocarbons that were used in almost everything from air conditioners to hair spray. Since that time, there has been almost complete compliance and agreement, and the ozone hole continues to shrink, as you can see here.
  • I have vivid memories about how smoggy and stinky the air used to be on a typical summer day in almost any American city of my youth. A fat-rendering plant right here in Georgetown (DC) stank worse than a hundred skunks, and is now gone. I know a paper mill in West Virginia whose fumes had long killed almost all the vegetation downwind of the factory. Nearby, acid drainage from an abandoned coal mine turned a stream so acidic that the rocks (and water) were amazing shades of orange, reds, and yellow. The rivers of this national often flowed with raw sewage, trash, and mine waste. Some, like the Cuyahoga, even caught fire, repeatedly (see https://www.smithsonianmag.com/history/cuyahoga-river-caught-fire-least-dozen-times-no-one-cared-until-1969-180972444/ ). The passage and actual enforcement of the Clean Air  and the Clean Water Acts have cleaned up the air and water in this country to an amazing degree in my lifetime (I’m over 70). The cleanup of the Potomac and Anacostia Rivers in that period has also been tremendous. However, my friends who grew up in India and China tell me that the air and water pollution over there is worse than I can possibly imagine and is not improving at all.
  • When I was young, it appeared that nearly every adult I knew chain-smoked cigarettes and drank a lot of alcohol, and the bars, restaurants, dormitories, private houses, classrooms,  buses and airplanes everywhere were filled with tobacco smoke. Despite the lies and obfuscation of the tobacco industry, not only legislation but also public opinion is such that today, I seldom encounter the nasty smell of tobacco smoke anywhere, even on people’s clothing on the bus or subway, and the number of drunk-driving fatalities is way down as well.
  • During my youth, the various nuclear powers exploded literally hundreds of nuclear weapons in the open air and underwater, spewing Strontium-90 and other radionucleides into things like cow or human milk, and doing untold destruction to the oceans nearby. While the number of world-wide nuclear explosions per year has dropped tremendously since then, they still continue, and may start up again on a larger scale.
  • Some noteworthy experiments re stopping global warming are listed in this month’s National Geographic. One of them, which has promise but also obvious drawbacks, involves dumping large quantities of finely ground-up alkaline rocks and minerals like  olivine counteract the increasing acidification of the seas being caused by the absorption of so much carbon dioxide. Will these experiments work? I don’t know.

But let us not turn this planet – the only home we will ever know – into one of the barren, freezing or boiling versions of hell we see in the eyepieces of a telescope.

I have raised pigs, and I noticed that they never foul their own beds, if they are given any room to move around. Let’s be better than pigs and stop trying to extract riches in the short run while destroying the lovely planet we all love in the long run!

Heaven is not somewhere else.

It’s right here, if we can keep it that way and fix the damage we have done.

======================================================

* For five-sixths of the roughly 3.7-billion-year time line of life on earth, all living things were single-celled microbes (or microbes living together in colonies). We mammals have only been important for the last 1.7% of that time, (ie since the dinosaurs died out 66 million years ago), the first known writing system was invented a few millennia ago, and Marconi only sent the first ship-to-shore radio message 130 years ago, which is an infinitesimally small fraction of 3.7 billion. Home radios only became popular 100 years ago.

Assuming that planets and stars are created at random times in the history of the universe, and assuming that a certain amount of enrichment of the interstellar medium by many generations of dead stars is necessary before life can begin at all, then it looks to me like the odds are not at all good for intelligent life of any sort to exist right now on any random planet we may study. And, unfortunately, if they do exist, we will never meet them. If there is an incredibly advanced civilization somewhere within 100 light years that can actually detect those first radio signals, then they just received our first messages. If they do respond, we won’t get the answer for another century or two!

For example, take a look at this time line of life on earth at a linear scale. If a hypothetical space traveler should somehow arrive on the 3rd rock from our Sun at a random moment in time over the past 4.5 billion years, then that’s like tossing a dart at this graph while blindfolded, and seeing where it lands. Notice the kind of organisms dominating during most of the past 4 billion years! The chances that they would happen to arrive here in the past few centuries or so, when we humans began to really understand science, are vanishingly small!

https://slideplayer.com/slide/13671957/

EDIT:

My original title began with “Space Travel is Impossible” — which is obviously false, because it is an incontrovertible fact of history that a handful of American astronauts, at enormous expense, did in fact land on the Moon and return. I remember the event well; I was working in a factory in Waltham, Mass that summer as part of the SDS Summer Work-In.

I should have written, “Space Travel to Exoplanets Is Impossible”.

But you could make the case that traveling to the Moon is barely even space travel! The distance to the moon is less than the total mileage on my last two automobiles (a Subaru Forester and a Toyota Prius) added together. Or, at the speed of light, the Moon is about 1.5 light-seconds away, the Sun about 8 light-minutes, Jupiter 34 light-minutes, and Saturn is about 85 light minutes this month. But the very nearest star-planet system to us is over four YEARS away, and the distances to the vast majority of exoplanets are measured in light-decades, light-centuries, or light-millennia.

I remember the Space Race! Both the USA and the Soviets poured incredible sums of cash, labor, raw materials, and brain power into that race, while, frankly, millions of people around the world starved or were killed in proxy wars between those two powers, representing two ideological and political opposing blocks. The incredibly expensive and dangerous race to win global prestige by being the first power bloc to reach the various goals has, so far, at its apogee, carted a handful of men to the near side of our Moon, less than two light-seconds away! And some people think we can easily travel to exoplanets that are light-decades or light-centuries away!

Hah!

Maskless Foucault Testing — at last!!!!

26 Thursday Oct 2023

Posted by gfbrandenburg in astronomy, Optics, science, Telescope Making

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foucault, Optics, Telescope, testing

For many years now, I have been trying and (mostly) failing at using some sort of digital camera when testing the optics of the mirrors we fabricate and evaluate at the ATM workshop at the Chevy Chase Community Center here in DC.

I can now report that there finally is some useful and non-vignetted light at the end of the testing tunnel!

Foucault, knife-edge image, raw

Same mirror, at a different longitudinal location, image flipped right to left (ie across the y-axis), and then pasted onto the original image

Same mirror, same location as the image directly above, with circles and measurements added in Geometer’s Sketchpad

I used an old Canon FD film camera lens (FL=28 mm) that I got about 40 years ago and haven’t used in several decades to get a bunch of really nice knife-edge images of a 16″ Meade mirror, located on a stage that can be moved forward and back in whatever steps I like by a smartphone app and a stepper motor setup that Alan Tarica and Pratik Tambe designed and put together.

Just now, I finally figured out how to use IrfanView to take one of the images, flip it left-to-right (that is, across the y-axis) and superimpose one onto the other with 50% transparency. A bright ring appeared, which shows the circular ring or zone where the light from our LED, located just under the camera lens, goes out to the mirror and bounces directly back to the lens and is captured by the sensor as a bright ring.

I then captured and pasted that image into Geometer’s Sketchpad, which I used to draw and measure the radii of two circles, centered at the doughnut marking the center of the mirror. This is a somewhat crude measurement of the radii, but it appears that this zone is is at 83% of the diameter (or radius) of the original disk, which is 16 inches across.

Now I just need to do the same thing for all of the other images, and then correlate the radii of the bright zones with the longitudinal (z-axis) motion of the camera and stand, and I will know how close this mirror is to a perfect paraboloid.

There is an app that supposedly does this for you, called Foucault Unmasked, but it doesn’t seem to work well at all. As you can see from these images, FU is unable to find zones that are symmetrically placed on either side of the center of the mirror. I don’t know what algorithm FU uses, but it sure is f***ed up.

Foucault Unmasked thinks that those two red marks are the zone being measured here. It’s pretty hard to be more wrong than that.
Again, FU at work, badly. Not quite as awful as the previous one, but still quite useless!

Thanks a lot to Tom Crone, Gert Gottschalk, Pratik Tambe, Alan Tarica, and Alin Tolea for their help and suggestions!

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