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A planet A moves along an elliptical orb...

A planet A moves along an elliptical orbit around the Sun. At the moment when it was at the distance `r_0` from the Sun its velocity was equal to `v_0` and the angle between the radius vector `r_0` and the velocity vector `v_0` was equal to `alpha`. Find the maximum and minimum distances that will separate this planet from the Sun during its orbital motion.

Text Solution

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`r_(m)=(r_(0))/(2-n)[1pm sqrt(1-(2-n)n sin^(2)alpha)]`
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