Author Topic: Impacts of Large Satellite Constellations on Astronomy  (Read 174474 times)

Offline eeergo

- on the one hand, it misses some of the most critical aspects of these endeavors: it ignores from the get-go the effect of satellites in deployment/decommissioning/maintenance low orbits.

This is fine if you want to address the steady-state ideal system, but it will never be like that in reality. It's like modeling traffic in a city with cars never stopping anywhere - it's useful for some basic understanding, but you'll never approach a realistic representation like that. In fact, it is reasonable to believe at least 5-10% of satellites will be in that low-orbit, low-drag situation where they are extremely visible and illuminated by barely less time than in the operational config, at any given time. Crudely extrapolating total/visible satellites for the steady case, this would mean between 1000-3000 satellites in total, of which 50-150 would be *very* visible in the sky at once, in the best case of homogeneous dispersion (obviously many more if they're still close together after deployment). Multiply that by 2-4 for the case of full-scale constellations.

I'm not sure why satellites in deployment/decommissioning phase matters if it's just 5-10% of the total, that's a rounding error in this kind of ballpark estimates.

It's spelled out in my conversation with envy, but just as a summary:

The impacts found by the study assume 1600-1100 *operational* satellites visible at once in the sky, but less than 300 would be brighter than mag 6. On the other hand, the numbers just calculated for satellites in low orbits and out of low-drag (lower visibility) would mean 100-150 high visibility satellites (mag 1-3, remember it's logarithmic). That's my point, even if the number of satellites undergoing non-low-drag operations is a correction to the total (and it's probably more towards 10% than 5%, as our calculations show), their effect wrt visible nuisance is very much as important.

As NaN points out above me, it appears there's some level of mitigation that can be put in place based on DarkSat's results. That mitigation doesn't apply to non-low-drag sats, as abundantly shown by DarkSat too.
-DaviD-

Offline su27k

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #361 on: 03/07/2020 12:12 pm »
- on the one hand, it misses some of the most critical aspects of these endeavors: it ignores from the get-go the effect of satellites in deployment/decommissioning/maintenance low orbits.

This is fine if you want to address the steady-state ideal system, but it will never be like that in reality. It's like modeling traffic in a city with cars never stopping anywhere - it's useful for some basic understanding, but you'll never approach a realistic representation like that. In fact, it is reasonable to believe at least 5-10% of satellites will be in that low-orbit, low-drag situation where they are extremely visible and illuminated by barely less time than in the operational config, at any given time. Crudely extrapolating total/visible satellites for the steady case, this would mean between 1000-3000 satellites in total, of which 50-150 would be *very* visible in the sky at once, in the best case of homogeneous dispersion (obviously many more if they're still close together after deployment). Multiply that by 2-4 for the case of full-scale constellations.

I'm not sure why satellites in deployment/decommissioning phase matters if it's just 5-10% of the total, that's a rounding error in this kind of ballpark estimates.

It's spelled out in my conversation with envy, but just as a summary:

The impacts found by the study assume 1600-1100 *operational* satellites visible at once in the sky, but less than 300 would be brighter than mag 6. On the other hand, the numbers just calculated for satellites in low orbits and out of low-drag (lower visibility) would mean 100-150 high visibility satellites (mag 1-3, remember it's logarithmic). That's my point, even if the number of satellites undergoing non-low-drag operations is a correction to the total (and it's probably more towards 10% than 5%, as our calculations show), their effect wrt visible nuisance is very much as important.

As NaN points out above me, it appears there's some level of mitigation that can be put in place based on DarkSat's results. That mitigation doesn't apply to non-low-drag sats, as abundantly shown by DarkSat too.

They included the VLEO Starlink constellation and Sat Revolution constellation in the calculation, with an altitude of 340km and 350km respectively, which is very low, it's similar to the phasing orbit for the 550km Starlink. So the effect of having x number of satellites doing orbital raising/lowering can be approximated by increasing the size of these VLEO constellations by x. Total # of satellites between 340km and 350km is 32% of the total, adding 2400 more to it would just change the percentage to 38%. So unless the VLEO constellation has a huge disproportionate effect on the result, adding satellites in deployment/decommissioning phase would be similar to increasing the total # of satellites by 5-10%.

Offline Owlon

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #362 on: 03/07/2020 10:44 pm »
- on the one hand, it misses some of the most critical aspects of these endeavors: it ignores from the get-go the effect of satellites in deployment/decommissioning/maintenance low orbits.

This is fine if you want to address the steady-state ideal system, but it will never be like that in reality. It's like modeling traffic in a city with cars never stopping anywhere - it's useful for some basic understanding, but you'll never approach a realistic representation like that. In fact, it is reasonable to believe at least 5-10% of satellites will be in that low-orbit, low-drag situation where they are extremely visible and illuminated by barely less time than in the operational config, at any given time. Crudely extrapolating total/visible satellites for the steady case, this would mean between 1000-3000 satellites in total, of which 50-150 would be *very* visible in the sky at once, in the best case of homogeneous dispersion (obviously many more if they're still close together after deployment). Multiply that by 2-4 for the case of full-scale constellations.

I'm not sure why satellites in deployment/decommissioning phase matters if it's just 5-10% of the total, that's a rounding error in this kind of ballpark estimates.

It's spelled out in my conversation with envy, but just as a summary:

The impacts found by the study assume 1600-1100 *operational* satellites visible at once in the sky, but less than 300 would be brighter than mag 6. On the other hand, the numbers just calculated for satellites in low orbits and out of low-drag (lower visibility) would mean 100-150 high visibility satellites (mag 1-3, remember it's logarithmic). That's my point, even if the number of satellites undergoing non-low-drag operations is a correction to the total (and it's probably more towards 10% than 5%, as our calculations show), their effect wrt visible nuisance is very much as important.

As NaN points out above me, it appears there's some level of mitigation that can be put in place based on DarkSat's results. That mitigation doesn't apply to non-low-drag sats, as abundantly shown by DarkSat too.

They included the VLEO Starlink constellation and Sat Revolution constellation in the calculation, with an altitude of 340km and 350km respectively, which is very low, it's similar to the phasing orbit for the 550km Starlink. So the effect of having x number of satellites doing orbital raising/lowering can be approximated by increasing the size of these VLEO constellations by x. Total # of satellites between 340km and 350km is 32% of the total, adding 2400 more to it would just change the percentage to 38%. So unless the VLEO constellation has a huge disproportionate effect on the result, adding satellites in deployment/decommissioning phase would be similar to increasing the total # of satellites by 5-10%.

The difference is operational attitude. The VLEO satellites will have their solar panels in the operational orientation where they minimally contribute to the satellite's brightness. Satellites in transit to a higher orbit have their solar panel in low-drag configuration, where the solar panel is brighter by a much larger degree than the reduction in brightness from the changes implemented in DarkSat (though future changes could help reduce brightness in transit). Essentially, even if DarkSat was perfectly black, a DarkSat satellite in transit is about as bright as any current Starlink satellite in transit.
« Last Edit: 03/07/2020 10:47 pm by Owlon »

Offline su27k

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #363 on: 03/08/2020 02:21 am »
The difference is operational attitude. The VLEO satellites will have their solar panels in the operational orientation where they minimally contribute to the satellite's brightness. Satellites in transit to a higher orbit have their solar panel in low-drag configuration, where the solar panel is brighter by a much larger degree than the reduction in brightness from the changes implemented in DarkSat (though future changes could help reduce brightness in transit). Essentially, even if DarkSat was perfectly black, a DarkSat satellite in transit is about as bright as any current Starlink satellite in transit.

The paper used a formula for asteroid magnitude to approximate the magnitude of Starlink at various altitudes, to verify the approximation, they calculated two magnitude values for Starlink:
1. Starlink at 550km, the result is 4.2 to 5.9 mag, so it agrees with the observation
2. Starlink post-launch, at (unspecified) low altitude, the result is -2 and -1 magnitude, which they say is also in agreement with observation, although I feel is a lot brighter than observation.

Essentially the formula they used to calculate magnitude already takes the brightness during orbital raising into account.

If you look at the magnitude they calculated for VLEO, it's 3.2 at zenith, this is in good agreement with observation of the satellite training/string of pearls phenomena when Starlink is at phasing orbit, see attached slide from Seitzer's presentation.

So using the VLEO constellation in the paper to approximate orbital raising is valid, despite the fact that during orbital raising Starlink is not in operational configuration and is brighter, this is because this higher brightness is already taken into account by the VLEO constellation in the paper.
« Last Edit: 03/08/2020 02:35 am by su27k »

Offline edzieba

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #364 on: 03/10/2020 01:40 pm »
More specifically, the paper (p.7 s 4.1) models Starlink satellites as a 1m diameter object of albedo 0.25, and match this to apparent magnitude observed during both post-launch 'trains' and during orbit raising (making it a good approximation) while also noting that the apparent magnitude of the satellites in their operational attitude was below this. Interestingly they also assumed each satellite will have an Iriduim-like flare per orbit, though even with this extremely pessimistic estimate flaring made almost no contribution to observation impact.

Offline envy887

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #365 on: 03/10/2020 02:03 pm »
In comments on his Jan 19 video about Darksat, Thierry Legault noted that he observed Darksat again in early March and it was mag 6.


Offline Dizzy_RHESSI

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #366 on: 03/10/2020 04:40 pm »
LSST has also now published a statement on the impact to the survey.

https://www.lsst.org/content/lsst-statement-regarding-increased-deployment-satellite-constellations

Quote
Executive Summary

Simulations of the Rubin Observatory Legacy Survey of Space and Time (LSST) observing cadence and the full 42,000 SpaceX satellite constellation show that as many as 30% of all LSST images would contain at least one satellite trail.

Nearly every LSST image taken during twilight would be affected by at least one satellite trail.
Measurements of the brightness of the current LEO satellites indicate that trails would saturate in LSST images and cause residual artifacts in the reduced data, if no mitigations are made.

If all affected images were rendered useless by saturated trails, LSST would have to add an additional 4 years to its planned 10 year survey to mitigate this loss.

The Rubin Observatory team is working constructively with SpaceX engineers on remediation solutions.

Offline envy887

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #367 on: 03/10/2020 06:36 pm »
LSST has also now published a statement on the impact to the survey.

https://www.lsst.org/content/lsst-statement-regarding-increased-deployment-satellite-constellations

Quote
Executive Summary

Simulations of the Rubin Observatory Legacy Survey of Space and Time (LSST) observing cadence and the full 42,000 SpaceX satellite constellation show that as many as 30% of all LSST images would contain at least one satellite trail.

Nearly every LSST image taken during twilight would be affected by at least one satellite trail.
Measurements of the brightness of the current LEO satellites indicate that trails would saturate in LSST images and cause residual artifacts in the reduced data, if no mitigations are made.

If all affected images were rendered useless by saturated trails, LSST would have to add an additional 4 years to its planned 10 year survey to mitigate this loss.

The Rubin Observatory team is working constructively with SpaceX engineers on remediation solutions.

Also notable:

Quote
Rubin Observatory is an extreme case for the sensitivity of astronomical observations to satellite constellations...

and

Quote
If satellites were fainter by at least about a factor of ten... the net fraction of lost LSST pixels would be in the range of 0.3%-3%, which corresponds to several months of observing time.

They don't specify the baseline brightness from which this estimate is derived, but Darksat was observed in the last few weeks to be 3-5x dimmer than others at 550 km in operational configuration, and 20-100x dimmer than the orbit-raising configuration.

Also, there was a PDF linked tot hat page, which I've attached.
« Last Edit: 03/10/2020 06:36 pm by envy887 »

Offline thirtyone

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #368 on: 03/10/2020 08:03 pm »
They don't specify the baseline brightness from which this estimate is derived, but Darksat was observed in the last few weeks to be 3-5x dimmer than others at 550 km in operational configuration, and 20-100x dimmer than the orbit-raising configuration.

Also, there was a PDF linked tot hat page, which I've attached.

I think the numbers are actually quite similar to the numbers specified in the AAS conference talk earlier - the old Starlinks were mag 4-5, and they want to hit 8-9 (this is a bit less than 100x linear brightness) to have relatively minimal impact to most observations, including large sky surveys. I think DarkSat was 5-6? So they're getting there, but there's work to be done. Based on Elon's recent talk and the Science article posted earlier, it looks like the Starlink team is pretty actively designing new measures to reduce brightness, going so far as to add sunshades to parts of the satellite to address the problems. We should expect new DarkSats to be launched in either the next launch or the launch after that.

I am FAR more worried about OneWeb right now for large sky surveys. I think they're still at mag 5-6, enough to saturate detectors, and they're for much longer in the night because of the higher orbit. However, they have a higher deployment orbit, so people can't see them at all by eye at any deployment stage, so you won't get the same spectacular pictures that drive the public to make a fuss about it. Unlike Starlink, which almost certainly utilizes some form of agile manufacturing and can readily change designs or switch out new satellites, I suspect OneWeb is far more traditional and there's really as much to make major changes to their design.

There is an entire spectrum battle going on with these LEO constellations, and I'm pretty sure that the mad rush to orbit is largely related to trying to get spectrum priority. I would bet that once they achieve the numbers required to achieve priority, they might start deorbiting older excessively bright satellites (which also probably have worse RF performance anyway) and rapidly replace them with darker satellites. If the timing is right I'd imagine they'd try to push to get that done before LSST is fully active. First light is apparently soon so hopefully they do this fast.
« Last Edit: 03/10/2020 08:06 pm by thirtyone »

Offline su27k

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #369 on: 03/11/2020 01:11 am »
LSST has also now published a statement on the impact to the survey.

https://www.lsst.org/content/lsst-statement-regarding-increased-deployment-satellite-constellations

Quote
Executive Summary

Simulations of the Rubin Observatory Legacy Survey of Space and Time (LSST) observing cadence and the full 42,000 SpaceX satellite constellation show that as many as 30% of all LSST images would contain at least one satellite trail.

Nearly every LSST image taken during twilight would be affected by at least one satellite trail.
Measurements of the brightness of the current LEO satellites indicate that trails would saturate in LSST images and cause residual artifacts in the reduced data, if no mitigations are made.

If all affected images were rendered useless by saturated trails, LSST would have to add an additional 4 years to its planned 10 year survey to mitigate this loss.

The Rubin Observatory team is working constructively with SpaceX engineers on remediation solutions.

Note this impact estimate is predicated on the assumption that Starlink will grow to 42,000 satellites, which is a pretty extreme scenario, it's impossible to launch this many satellites using Falcon 9, you pretty much have to use Starship.

A 42,000 constellation would also mean Starlink is hugely successful and rolling in revenue like money printer, I'm sure if that's the case SpaceX can afford to pay for 4 additional years of survey plus a space telescope for replacement. But it is good that they're addressing the issue now instead of waiting for when they need it, it sets a good example.

Offline FutureSpaceTourist

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #370 on: 03/11/2020 01:35 pm »
twitter.com/jeff_foust/status/1237746338709803008

Quote
Tony Tyson of Vera Rubin Obs. says they would like to see Starlink satellites become 10-20 times dimmer than now; will still have satellite trails but can eliminate nonlinear imaging artifacts that the bright satellites cause.

https://twitter.com/jeff_foust/status/1237747398123884546

Quote
Tyson adds he’s “cautiously optimistic” Starlink satellites will be darkened sufficiently, but still a work in progress. Doesn’t yet appear to be much data on how effective the “DarkSat” launched in January is.

Offline FutureSpaceTourist

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #371 on: 03/16/2020 09:07 pm »
https://twitter.com/planet4589/status/1239669134079807491

Quote
Delighted to announce that my Starlink paper has been accepted for publication in Astrophysical Journal Letters and will be on the arxiv on Wed;  and you can download the preprint version now at https://planet4589.org/space/papers/starlink20.pdf

Quote
The Low Earth Orbit Satellite Population and Impacts of the SpaceX Starlink Constellation
Jonathan C. McDowell
Center For Astrophysics — Harvard & Smithsonian 60 Garden St,
Cambridge, MA 02138, USA
(Revised Mar 14, 2020; Accepted Mar 16, 2020)
Submitted to ApJL

ABSTRACT
I discuss the current low Earth orbit artificial satellite population and show that the proposed ‘megaconstellation’ of circa 12,000 Starlink internet satellites would dominate the lower part of Earth orbit, below 600 km, with a latitude-dependent areal number density of between 0.005 and 0.01 objects per square degree at airmass < 2. Such large, low altitude satellites appear visually bright to ground observers, and the initial Starlinks are naked eye objects. I model the expected number of illuminated satellites as a function of latitude, time of year, and time of night and summarize the range of possible consequences for ground-based astronomy. In winter at lower latitudes typical of major observatories, the satellites will not be illuminated for six hours in the middle of the night. However, at low elevations near twilight at intermediate latitudes (45-55 deg, e.g. much of Europe) hundreds of satellites may be visible at once to naked-eye observers at dark sites.

Keywords: artificial satellites — night sky brightness — astronomical site protection — ground-based astronomy

Offline FutureSpaceTourist

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #372 on: 03/17/2020 12:48 am »
https://twitter.com/planet4589/status/1239722619487899650

Quote
Jeez. First observations and magnitude measurement of SpaceX’s Darksat https://arxiv.org/pdf/2003.07251.pdf -> Special 'darkening treatment' makes brightness go from 6.69 mag in g band to 7.57 mag (at 976km), essentially from 'terribly bright' to...'terribly bright' 😟  #Starlink

Linked paper:

Quote
First observations and magnitude measurement of SpaceX’s
Darksat

J. Tregloan-Reed1, A. Otarola2, E. Ortiz3, V. Molina1, J. Anais1, R. González1, J. P. Colque1, and E. Unda-Sanzana1

1 Centro de Astronomía (CITEVA), Universidad de Antofagasta, Avenida U. de Antofagasta 02800, Antofagasta, Chile e-mail: [email protected]
2 TMT International Observatory, 100 West Walnut Street, Pasadena, CA 91124, USA.
3 Departamento de Física, Universidad de Antofagasta, Avenida Angamos 601, Antofagasta, Chile

Received Month dd,yyyy; accepted Month dd,yyyy

ABSTRACT

Aims. Measure the Sloan g’ magnitudes of the SpaceX STARLINK-1130 (Darksat) and 1113 LEO communication satellites and determine the effectiveness of the Darksat darkening treatment at 475.4 nm.

Methods. Two observations of the SpaceX STARLINK Darksat LEO communication satellite were conducted on 2020/02/08 and 2020/03/06 using a Sloan r’ and g’ respectively. While a second satellite, STARLINK-1113 was observed on 2020/03/06 using a Sloan g’ filter. The initial observation on 2020/02/08 was a test observation when Darksat was still manoeuvring to its nominal orbit and orientation. Based on the successful test observation, the first main observation was conducted on 2020/03/06 along with an observation of a second STARLINK satellite.

Results. The calibration, image processing and analysis of the Darksat Sloan g’ image gives an estimated Sloan g’ magnitude of 7.57 ± 0.04 at a range of 976.50 km. For STARLINK-1113 an estimated Sloan g’ magnitude of 6.69 ± 0.05 at a range of 941.62 km was found. When scaled to a range of 550 km, a reduction of (55 % ± 4.8 %) is seen in the reflected solar flux between Darksat and STARLINK-1113.

Conclusions. The data and results presented in this work, show that the special darkening “treatment” used by SpaceX for Darksat has reduced the Sloan g’ magnitude by 0.88 ± 0.05 mag (55 % ± 4.8 %), when the range is equal to a nominal orbital height (550 km). This result will serve members of the astronomical community modelling the satellite mega-constellations, to ascertain their true impact on both the amateur and professional astronomical communities. Concurrent and further observations are planned to cover the full optical and NIR spectrum, from an ensemble of instruments, telescopes and observatories.

Offline NaN

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #373 on: 03/17/2020 04:57 am »
Quote from: @DScol
Jeez. First observations and magnitude measurement of SpaceX’s Darksat https://arxiv.org/pdf/2003.07251.pdf -> Special 'darkening treatment' makes brightness go from 6.69 mag in g band to 7.57 mag (at 976km), essentially from 'terribly bright' to...'terribly bright' 😟  #Starlink

One giant leap to 7% brightness (mentioned in the paper) is unlikely - it would not surprise me if they keep iterating it for at least the rest of 2020. If SpaceX can at least get some initial darkening into the production line to get them below naked eye visibility, it's a great first step.

I suspect that the real driver for the 7% number are the 340km and perhaps 1150km shells, not the 550km shell currently being filled. The 340km shell is lower and thus brighter, has planned >4x the number of satellites and a higher number visible (though for less of the night). The 1150km shell while dimmer has a much higher number visible, and for more of the night. The studies aren't breaking out the impacts per shell, but it seems likely that if they achieve target brightness before the 340km and 1150km then it will meet the goal of satisfying LSST. Improvements during 550km deployment are certainly good, but not critical.
« Last Edit: 03/17/2020 04:58 am by NaN »

Offline su27k

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #374 on: 03/18/2020 12:26 pm »
SpaceX asked a major European astronomy group for a meeting after it published a concerning paper about Starlink’s effects on telescopes

Quote
After the ESO study was published, SpaceX got in touch to ask for a meeting to talk about impact on ESO’s own wide-field facility, the VISTA telescope. “The problem won’t be as bad as it is for the Vera Rubin, but we’re still talking about 5% to 6% of images lost or affected during the twilight hours,” Williams told Business Insider.

“We are encouraged by the fact that SpaceX reached out to us with respect to our most affected telescope and their cooperative and constructive suggestions so far. We are looking forward to working with SpaceX, in cooperation with other astronomy groups and governments, to find a mutually agreeable solution,” said Williams. He did not give detail about what suggestions SpaceX have given thus far.

Offline su27k

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #375 on: 03/19/2020 01:22 pm »
SpaceX claims some success in darkening Starlink satellites

Quote
“This is a continuing experiment,” Tyson said of the DarkSat observations, noting that measurements of its brightness were taken just the night before. The data from the small Chilean telescope analyzed in the arXiv preprint came primarily from a single night of observations in early March after DarkSat reached its operational orbit.

Tyson, though, emphasized the cooperation between SpaceX and the astronomy community to reduce the brightness of future Starlink satellites. “We’ve had a really delightful collaboration going now for a couple months with SpaceX engineers,” he said. “There are a lot of ideas on the table for darkening their satellites. This is just the first.”

Offline Rondaz

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #376 on: 03/23/2020 09:27 pm »
These images which I shot yesterday evening, show 3 @SpaceX #starlink satellites, including STARLINK-1130 "DARKSAT", passing the same part of the sky in 10 min time.As can be seen, Starlink-1130 is clearly fainter due to its reflectance-reducing coating.

https://twitter.com/Marco_Langbroek/status/1242136773670703106

Offline Rondaz

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #377 on: 03/24/2020 02:23 pm »
Some counter programming this morning: new studies have emerged examining the impact of SpaceX’s Starlink constellation. We’re getting a better understanding of which types of astronomy will be affected — and if that coating is working.

https://twitter.com/lorengrush/status/1242446762813673472

Offline FutureSpaceTourist

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #378 on: 03/24/2020 03:50 pm »
https://twitter.com/marco_langbroek/status/1242480424154066946

Quote
Same but with video: 4 @SpaceX Starlink satellites including #Starlink-1030 DARKSAT on 22 March. DARKSAT clearly somewhat fainter. Video camera pointed on fixed alt/az. Frames of 4 video sequences stacked. Brightest stars are Capella and epsilon Aur.
@planet4589

Offline FutureSpaceTourist

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Re: Impacts of Large Satellite Constellations on Astronomy
« Reply #379 on: 04/06/2020 06:29 pm »
https://twitter.com/planet4589/status/1247217691779313664

Quote
I have put the final version of my Starlink paper at https://planet4589.org/space/papers/starlink20.pdf - this is the version that will go on arxiv tomorrow, and reflects the published ApJ version except for a proofing error that crept in to the latter.

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