The kinetic energies of a planet in an elliptical orbit about the Sun, at positions, $A, B$ and $C$ are $K_{A}, K_{B} a n d K_{C}$ , respectively. $A C$ is the major axis and $S B$ is perpendicular to $A C$ at the position of the Sun $S$ as shows in the figure. Then

Question

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions,

A, B

and

C

are

K_{A}, K_{B} a n d K_{C}

, respectively.

A C

is the major axis and

S B

is perpendicular to

A C

at the position of the Sun

S

as shows in the figure. Then

Aicharya · Accepted Answer

By angular momentum conservation about the sun, $L = I \omega = 	ext{constant}$ $KE = \frac{L^2}{2I}$ $\because S_A \angle S_B \angle S_C$ $\Rightarrow I_A KE_B > KE_C$

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions, A , B and C are K A , K…

Solution