Kepler Laws

Classical Mechanics Level 1

The figure above represents the orbit of a planet around a star, S , and the marks divide the orbit into 14 equal time intervals, t = T/14 , where T is the orbital period. If the only force acting on the planet is Newtonian gravitation, then true statements about the situation include which of the following?

I. Area A = area B

II. The star S is at one focus of an elliptically shaped orbit.

III. \( { T }^{ 2 }\quad =\quad C{ a }^{ 3 } \) , where a is the semi-major axis of the ellipse and C is a constant.


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