The Sun travels in approximately circular orbit of radius R around the center of the galaxy and completes one revolution in time T. The Earth also revolve around the Sun in time t. Assume orbit of the Earth to be a circle of radius r (r << R) and whole mass of the galaxy centered on its center. By using only these given information’s, find an expression for the ratio of the mass of the galaxy to that of the Sun.

Physics · Gravitation · Satellites, Orbital Motion & Kepler’s Laws

JEE MainsAdvanced

The Sun travels in approximately circular orbit of radius R around the center of the galaxy and completes one revolution in time T. The Earth also revolve around the Sun in time t. Assume orbit of the Earth to be a circle of radius r (r << R) and whole mass of the galaxy centered on its center. By using only these given information’s, find an expression for the ratio of the mass of the galaxy to that of the Sun.

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