Question

A planet of mass m is revolving around the sun in elliptical orbit of semi major axis x and semi minor axis y. The areal velocity of an elliptical revolution is

Answer 1

Answer:

Given the perihelion = r2 = shortest distance of a planet from Sun

                 aphelion = r1 = longest distance of planet from Sun

                 mass of planet = m.

                 mass of Sun = M

So the length of the major axis of the Elliptical orbit of the planet

    = r1 + r2.

Semimajor axis = R = (r1 + r2)/2.

According to Kepler's laws:

    The square of time period T of a planet revolving around Sun is proportional to the cube of semi major axis R of the elliptical orbit of the planet.

    T² ∞ R³

    T ∞  R³/²

    T  ∞ [r1 + r2] ³/²     Answer.