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  4. A satellite of mass m orbits the earth in an elliptical orbit having aphelion distance ra and perihelion distance rp. The period of the orbit is T. The semi-major and semi-minor axes of the ellipse are (ra+rp/2) and √rp ra respectively. The angular momentum of the satellite is:

Q. A satellite of mass orbits the earth in an elliptical orbit having aphelion distance and perihelion distance . The period of the orbit is . The semi-major and semi-minor axes of the ellipse are and respectively. The angular momentum of the satellite is:

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Solution:

By Kepler's second law we use

where is semi major and is semi minor axis of elliptical orbit.

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