Milwaukee Astronomical Society

 

Beginner's Guide

Solar System - Artificial Satellites

 

So Many Satellites

International Space Station - NASA

International Space Station

The Earth has one natural satellite: the moon. As of 2021 there are over 6500 artificial satellites, about half of them are active. This is an amazing number when before 1957 (65 years ago), there were none.

Have you seen an artificial satellite in the night sky? Chances are you have if you're paying attention since there are so many and they can appear in any part of the sky. All the artificial satellites look like a star to the naked-eye, but in motion against the background. It can be easy to mistake an airplane, but they usually give themselves away with their blinking lights whereas a satellite has more consistent light as they are being illuminated by the sun. Of course if you have binoculars that will help, and you can even try to spot it in a telescope. And if you look at the sky long enough with a telescope you'll see fainter satellites pass by in the field of view, especially during the early evening or in the early morning.


In recent years there is much more media attention to these satellites. The International Space Station (ISS) is by far the largest and by far the most famous artificial satellite. It's also the biggest and brightest. But there is also a whole new class of them best represented by the Starlink Satellites. These will appear in the sky as multiple "stars" in a long string, all traveling in the same direction.

Using An Ephemeris

An ephemeris is a table (or tables) giving the coordinates of a celestial body at a number of specific times during a given period. These were traditionally published in books and magazines, but these days there are various internet sites to give this information. And it's very personalized because you can input your exact location and various other parameters to narrow the search.

Ephemeris for the ISS from In-The-Sky.org

Above you see a prediction for sighting the ISS (International Space Station) from the In-The-Sky.org website. It gives a lot of useful information beyond just the time. You should find this diagram useful to understand the info:

ISS diagram showing appearance, maximum height, and disappearance. NASA.

Though we hope this diagram demonstrates where to look for any given satellite, there is a bit more you should understand. This particular emphemeris for the ISS is in the early evening. The appearance is when you can first reasonably see it. And it will be the brightest when it's is highest in the sky. But keep in mind that the ISS (as are all the artificial satellites) are illuminated by the sun. So you only really see a satellite when it's in the sunlight. At the end of the sighting you'll see that it disappears well before it gets to the horizon. That is because the satellite will move into the Earth's shadow.

Path and times of a satellite as plotted by In-The_Sky.org

At the right of the ephemeris from In-The-Sky.org, they have a column labeled "Diagram of Pass" and below it links labeled "Chart..." If you click/tap on that link it will bring up a diagram which charts that satellite pass. In this particular example you'll note that the path goes fairly far before disappearing. This indicates that this pass was not very long after sunset.

Constellation Satellites

GPS satellite distribution animation. Wikipedia.Constellation satellites are groups of satellites that work together as a system. The reason for the many satellites is they can provide global (or near global) coverage. This means at any given time one or more of these satellites is in the local sky.

The most famous of this type of satellites is Global Positioning System (GPS). The animation at the right shows their movement over one full day. There are 31 satellites and they are positioned at half geosynronus position (20,180 km / 12,540 mi above Earth's surface so they do one orbit every 12 hours.

A relatively new satellite constellation is Starlink which are being launched by SpaceX.

Starlink satellites simulated. Stellarium.

Above is a simulated display of Starlink satellites. The all move in unison in the same direction as the chain. But there are other Starlink chains where the satellites are much closer to one another!

Wikipedia image of ISS
MAS image of the ISS
ISS across the Sun - Jeff

 

Geosynronus Satellites

Talifero, Public domain, via Wikimedia Commons Geosynronus satellites are a very special class of satellites. They all orbit approximately 35,786 km (22,236 miles) along about our equator. This altitude is special because at this altitude, their orbital period (1436 minutes = one sideral day) matches Earth's rotation period and the satellites hover over the same spot as shown in the animation at the right. This makes them ideal for communicating television and radio as a dish once pointed at any given satellite does not need to move. The satellite will remain in that exact position.

Because of their distance they are somewhat faint (10th to 12th magnitude) so you will need a telescope to see them, one with an aperture of at least 4 inches (10 cm). At first glance you may think there is really nothing to see, but the reality is the view is amazing. If your telescope doesn't have a clock drive or it's turned off, the satellite will remain stationary and all the stars in the field will drift by. If you have a clock drive and it's engaged, the stars will remain fixed and the satellite will drift.

So what geosynchronus satellite should you observe? It really doesn't matter. There are well over 500 of these satellites with more being launched over time. What you need to know is the declination of the orbit as seen from your position on Earth. If you are observing from the Equator it's very simple: the satellites will be seen at 0° so directly on the celestial equator. But if your latitude is north of the equator, the satellites will appear south of the celestial equator; if your latitude is south, the they will appear north of the celestial equator.

Below we give you a table of latitudes and the celestial declination of where to find the satellites. You can see that the more northern you are, the further south they will appear (and reversed in the southern hemisphere.) But to more precisely find the declination, we provide a calculation tool below.

 

Declination Table
Latitude
Declination

0.00°

10°

-1.77°

20°

-3.45°

30°

-4.97°

40°

-6.28°

50°

-7.31°

60°

-8.07°

70°

-8.53°

80°

-8.70°

These table entries are for northern latitudes. For southen latitudes, simply reverse the sign.

 

Custom Calculation For Your Latitude

Enter your own latitude for the declination calculation.

Currently: Latitude = 43.0° gives a declination of -6.62°

 
     

As an example of how you would use this declination calculation, we will use Milwaukee as our example which has a latitude of about 43 degrees.

Our first example is in the summer sky along the Milky Way in the constellation Scutum (the shield) where there is a very convenient signpost just north of the location: M11, the Wild Duck Cluster.

Skyview of the summer sky centered around the constellation Scutum. Stellarium.

The sky diagram above from Stellarium is of the summer sky centered around the constellation Scutum. The bright star to the upper left is Altair which is one of the three stars of the Summer Triangle. Below we will zoom in on the area shown by the red box. The reddish line marked 43 Geostat is the declination of where the geosynchronus satellites orbit as seen from 43° north latitude.

Zoomed in area of Scutum centered around M11, the Wild Duck Cluster. Stellarium.

The diagram above is the zoomed in area centered on M11, the Wild Duck Cluster (in the red circle) which is fairly easily seen in a 8X50 finder scope. As you can see the declination line for 43° is just south of this object.

Please keep in mind that there is nothing actually special about this location as far as viewing the satellites is concerned as that can be done anywhere on that line. It's just a convenient location for finding the line.

Our second example is in the winter sky in the constellation Orion where there is a very convenient signpost just north of the location: M42, the Orion Nebula.

Skyview of the winter sky area centered on M42 in the constellation Orion. Stellarium.

The sky diagram above from Stellarium is of the winter sky centered around the constellation Orion. Below we will zoom in on the area shown by the red box. The reddish line marked 43 Geostat is the declination of where the geosynchronus satellites orbit as seen from 43° north latitude.

Zoomed in area centered around M42, the Orion Nebula. Stellarium.

The diagram above is the zoomed in area centered on M42, the Orion Nebula (in the red circle) which is can actually be seen by the naked-eye and easily easily seen in a 8X50 finder scope. As you can see the declination line for 43° is just south of this object.

 

Viewing Through a Telescope

ISS Transits the Moon. Wikipedia Commons.

ISS Transits the Moon. Wikipedia Commons.

In a telescope your choice of artificial satellites is just one: the ISS. Most of the satellites are simply too small in order to see anything more than a pinpoint of light. The ISS on the other hand is huge in comparison to the others. It is 109 meters (357 feet) in length and 73 meters (239 feet) in width. It orbits about 420 km (261 mi) above Earth's surface. In order to calculate the apparent size we see from Earth's surface, there are some variables to take into account. Since the orientation of the ISS will vary we will use the average size of 91 meters (298 feet). When the station is directly overhead it will appear the largest at 0.0124° or 45". As a comparison Jupiter is 50" at maximum and 30" at minimum. So hopefully that sounds pretty good. But the ISS will rarely go directly overhead and so you're going to be seeing it at an angle. At 60° about the horizon it's about 39". At 45° it's about 32". At 30° it's 23".

ISS as imaged by MAS member Shubhendu Sadhukhan. MAS image.
International Space Station imaged by MAS member Shubhendu Sadhukhan.
Now for the bad news. The ISS is in orbit so it's moving and from our perspective even from the surface it's moving fast. You have to overcome two difficulties: putting it into the field of your telescope at a decent power and then tracking it. Both of these are far easier if you use fairly low power, but you ideally want higher power to view more detail. For regular objects it's always the wisest to find your target with low power and then switch to higher power. But this will not work with the ISS as you'll lose your target if you attempt to switch eyepieces.

Another problem is that from a size standpoint you'd like to have it pass directly overhead. However, directly overhead can be difficult to navigate with your telescope plus when at overhead or near overhead, the apparent speed of the ISS is the fastest. At 45°-60° the size is smaller, but the ISS is moving slower which makes it easier to track and view. Your best case scenario is where you can acquire the ISS when it's relatively low in the sky when it's moving much slower, and then keep it view as it gets higher when it will be larger but moving faster.

Practice

If you're really going to try to view the ISS in your telescope, we suggest practicing what you need to do. We suggest any aircraft as your target because the acquisition and then viewing well simulates what will happen with the ISS.

ISS Transits

One relatively easy way to catch a glimpse of the ISS in a telescope is during a solar or lunar transit. What do we mean by "relatively?" The ISS moves across the sky fairly quickly and that transit will only last at most a half second. Then these transits are fairly rare so advanced planning will be required so you're in the right place at the right time. We recommend the use of Sky & Telescopes Satellite Tracker for planning purposes. It also will show planetary transits as well, but those are extremely rare and the event happens in less than a blink of the eye.

Because these events happen so quickly, most imagers will do a video capture, normally at 30 frames per second. Here are a couple of examples made by a member of the Milwaukee Astronomical Society.

ISS Transits the Sun. Jeff Kraehnke, MAS Image.

June 28, 2020. 10:38AM. Altitude: 65°. Jeff Kraehnke, MAS Image.

ISS Transits the Sun. Jeff Kraehnke. MAS Image.

July 4, 2020. 07:27AM. Altitude: 31°. Jeff Kraehnke. MAS Image.

Note: The apparent size of the ISS on the June 28th transit is about twice the size as the one on July 4th. That's because the June 28th occurred at 10:38AM when the Sun was 65° above the horizon, whereas the July 4th transit was at 7:27AM when the sun was just 31°.

 

Warning: Observing the Sun is dangerous!

 

And since we've mentioned observing the Sun, we have to inform you there are precautions you need to follow to do so safely. More information can be found here.