Which of the following quantities remain constant in a planetory motion (consider elliptical orbits) as seen from the sun ?

(a) Speed.

(b) Angular speed.

(c) Kinetic energy.

(d) Angular momentum.

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1 Answers

(d) Angular momentum.

EXPLANATION: 

The speed in an elliptical orbit is not constant and hence not the kinetic energy. So (a) and (c) are not true. The radius vector also does not sweep equal angle in equal time, angular speed is not constant. So (b) is not true. Since there is no external torque on the satellite the angular momentum at any point is constant. (d) is true.

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