For a particle moving in an elliptical orbit with semi major axis a and eccentricity epsilon , show that Where the angular brackets denote a time average over one complete period ((a r) cos 8) e (1 e)5 2

Question: For a particle moving in an elliptical orbit with semi major axis a and eccentricity ε, show that Where the angular brackets denote a time

For a particle moving in an elliptical orbit with semi major axis a and eccentricity ε, show that

Where the angular brackets denote a time average over one complete period

((a/r)* cos 8) = e/(1 - e)5/2

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Using Eqs 842 and 841 for a and r we have 1 cos 0 18 dt dtdA ab cos From Keplers ... View full answer

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