Orbital Mechanics?

  • Thread starter Timothy S
  • Start date
  • #1
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Hello,

After searching on the internet, I have come to the conclusion that there is no completely general way to calculate the position of an orbiting body. My question is whether there is a way to find the equations of motion with respect to time of a satellite orbit given only the initial tangential velocity, distance from the central mass, and mass of the satellite. If there is, I would appreciate a derivation of the equation.

Thank you.
 

Answers and Replies

  • #3
you are looking for paticular object?
 
  • #4
311
23
If you ignore the mass of the satellite, its easy, its rotation rate = v / r (radians per second)

If you had the mass of the orbited body:
Using the attached word document, given both masses, and the centre to centre distance, you can derive what you need, if not you may get some mileage from it anyway.
 

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