how can i proof :
if the planet orbit on ellipse ???
A bit more explanation of what the symbols stand for is needed, alsoOriginally Posted by sweet
we are guessing what you have been asked to prove, I assume it is:
but that leaves us guessing is supposed to be ?
Is the eccentricity? the semi-major axis?
Also what is ?
We can guess but it is just making it more work for the helpers here.
Since the eccentric anomaly is a variable depending on the point of theOriginally Posted by sweet
planet in its orbit and v as defined here is a constant, as are e mu and a
this cannot be true for almost all values of eccentricity.
Or have I misunderstood something?
In that case I agree with CaptainBlack. The perihelion and aphelion speeds are constant (meaning they don't vary with how many orbits have occurred.) Thus v^2 as you have defined it will also be constant. Since the eccentric anomaly changes over the course of the orbit (if I'm reading your diagram correctly) there must be an error in your formula.Originally Posted by sweet