Calculating the visibility of a satellite

  • Thread starter FrankDrebon
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In summary, orbital elements can be used to calculate a satellite's state vector and determine its position and velocity at a given time. This information can be used to calculate when a satellite will be visible in the night sky, with the help of various software and apps. These tools determine the satellite's position relative to a specific point on Earth and time, taking into account its orbit and the Earth's rotation. However, factors such as the satellite's orbit not being on the same plane as the equator can limit the number of opportunities for it to be visible at a specific point on Earth.
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FrankDrebon
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Hi,

I'm familiar with the use of orbital elements to describe the motion of a satellite, and using those to calculate the state vector (position and velocity as a function of time) of the satellite.

I am wondering how it is possible to use this information to calculate when a satellite will be visible in the night sky. I know various pieces of software are available to do this, but are there standard equations that the software uses?

Many thanks,

F
 
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You can find apps to do this on the internet and even on iPhones. In the case of the iPhone app, you can aim the iPhone at the intended satellite.

What they do is determine the satellites poisition relative to a specific point on the Earth and specific time. The window of visiblity will require the satellite be sufficiently above the horizon from that specific point on the earth, and for the time when it's sufficiently above the horizon to be at night.

In some cases, like the space station, the orbit is not on the same plane as the equator, so the "north / south" position of the satellite relative to the extended equator plane varies with time. This reduces the number of oppurtunities for the space station to be visible at some specific point on the earth.
 

FAQ: Calculating the visibility of a satellite

1. What is the formula for calculating the visibility of a satellite?

The formula for calculating the visibility of a satellite is based on the satellite's elevation angle, which is the angle between the satellite and the observer's horizon. The formula is: visibility = (90 - elevation angle) / 90 * 100%. This means that as the elevation angle increases, the visibility of the satellite also increases.

2. What factors affect the visibility of a satellite?

The visibility of a satellite can be affected by various factors such as the satellite's orbit, the observer's location, and atmospheric conditions. Satellites in higher orbits are generally more visible than those in lower orbits, and the closer the observer is to the equator, the longer the satellite will be visible. Additionally, weather conditions, such as cloud coverage, can also impact the visibility of a satellite.

3. How do you determine the elevation angle of a satellite?

The elevation angle of a satellite can be determined using trigonometry. The observer's location, the satellite's position, and the Earth's radius are used to calculate the angle. There are also online tools and apps available that can provide the elevation angle of a satellite based on the observer's location.

4. Can a satellite be visible during the day?

Yes, a satellite can be visible during the day. However, it may be more difficult to spot due to the brightness of the sun and the lack of contrast in the sky. Satellites are more easily visible during the night when the sky is dark and there is less light pollution.

5. How can I improve my chances of spotting a satellite?

To improve your chances of spotting a satellite, it is best to find a location with minimal light pollution and a clear view of the sky. It is also helpful to have a good understanding of the satellite's orbit and position, as well as the elevation angle at which it will be visible. Additionally, using binoculars or a telescope can make it easier to spot a satellite in the sky.

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