Orbital energy of ellipse and hyperbolic trajectory

  • Thread starter IPhO' 2008
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Please tell me how to find the orbital energy of ellipse and hyperbolic trajectory.
Thank you.
 

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Janus
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In both cases, it is the sum of the kinetic energy and gravitational potential at any point of the trajectory.

Alternatively, if you know the semi-major axis(a), it can be found by:

[tex]-\frac{GM}{2a}[/tex]
for an ellipse

and

[tex]\frac{GM}{2a}[/tex] for a hyperbola.
 
  • #3
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Please show me how to prove it.
 

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