What equation describes the motion of planets?

Expert Solution

1) Force is a vector having both magnitude and direction.

2) Kepler's laws dictate the motion of planets.

1st Law: distance of planet from the sun is r = p/(1+ecos(theta)) p is semi latus rectum of the ellipse; (r,theta) are polar cordinates. e is the eccentricity of the ellipse.

2nd Law: A line joining a planet and the Sun sweeps out equal areas during equal intervals of time

dA/dt = 0.5 r² d(theta)/dt

3rd Law: The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.

where

T is the orbital period; M is mass; G is Gravitational constant.

genius_generous answered 2 years ago

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