Calculating the visibility of a satellite

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SUMMARY

This discussion focuses on calculating the visibility of satellites using orbital elements to derive the state vector, which includes position and velocity over time. It highlights the importance of determining a satellite's position relative to a specific point on Earth and the timing of visibility during nighttime. The conversation also notes that visibility is affected by the satellite's orbital plane, particularly for objects like the International Space Station, which does not orbit in the same plane as the equator. Standard equations and software applications are utilized to facilitate these calculations.

PREREQUISITES
  • Understanding of orbital elements and their role in satellite motion
  • Familiarity with state vectors in astrodynamics
  • Knowledge of visibility criteria based on horizon elevation
  • Experience with satellite tracking software or applications
NEXT STEPS
  • Research the mathematical equations used for satellite visibility calculations
  • Explore software tools for satellite tracking, such as Heavens-Above or Stellarium
  • Learn about the effects of orbital inclination on satellite visibility
  • Investigate mobile applications for real-time satellite tracking and visibility
USEFUL FOR

Astronomy enthusiasts, satellite operators, and anyone interested in tracking satellite visibility in the night sky will benefit from this discussion.

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.
 

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