Cartesian Keplerian orbit?

  • Thread starter holtto
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  • #1
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Just curious, does anyone know what are the equations for the displacement-time graph of a Keplerian orbit?

The horizontal displacement-time graph should be somewhat sinusoidal, the vertical one cosinusoidal, or vice versa.
 

Answers and Replies

  • #2
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There is a formula relating the orbital angle and the orbital radius, and so one can easily get the x/y components versus the angle. Dependence on time, however, is implicit.
 
  • #3
21
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There is a formula relating the orbital angle and the orbital radius, and so one can easily get the x/y components versus the angle. Dependence on time, however, is implicit.

and it involves really complicated D.E.s
 

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