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Prove analytically that an elliptical orbit, for all values of the true anomaly, will be at a greater radius than that of a circular orbit
Prove analytically that an elliptical orbit, for all values of the true anomaly, will be at a greater radius than that of a circular orbit with the same periapsis radius (the only exception being the actual point of periapsis). It is also possible to have an elliptical orbit completely inside of the reference circular orbit ... using a similar proof but appropriately different conditions, show how this is possible. Prove analytically that an elliptical orbit, for all values of the true anomaly, will be at a greater radius than that of a circular orbit with the same periapsis radius (the only exception being the actual point of periapsis). It is also possible to have an elliptical orbit completely inside of the reference circular orbit ... using a similar proof but appropriately different conditions, show how this is possible
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