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The Principle

In an ellipti...

Question

In an elliptical orbit, when planet is near the sun its speed is higher than the speed of the planet when it is far away from sun. WHY?

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Solution

When a planet moves around a sun in an elliptical orbit, angular momentum is conserved.
Let us assume that the speed of the planet when it is at a distance of d from the sun be v and when it is at a distance d1 from the sun it speed is v1.
Given that d < d1.
Applying law of conservation of angular momentum we get that
mvd =mv1d1
vd=v1d1
If d < d1, then v > v1.

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