Question

Which of the Kepler’s laws of planetary motion led Newton to establish the inverse-square rule for the gravitational force between two bodies?

Answer 1

Answer:

Kepler’s 3rd law of planetary motion led Newton to establish the inverse-square rule for gravitational force between two bodies..

◆ Kepler’s 3rd law of planetary motion -

◆ Kepler’s 3rd law of planetary motion -The square of the time period of the planet is directly proportional to the cube of the semimajor axis of its orbit.

◆ Kepler’s 3rd law of planetary motion -The square of the time period of the planet is directly proportional to the cube of the semimajor axis of its orbit.T² ∝ R³

Answer 2

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Kepler's third law of planetary motion led Newton to establish the inverse-square rule for gravitational force between two bodies.

Laws of Kelper

There are actually three, Kepler’s laws that is, of planetary motion:

1) every planet’s orbit is an ellipse with the Sun at a focus.

2) a line joining the Sun and a planet sweeps out equal areas in equal times.

3) the square of a planet’s orbital period is proportional to the cube of the semi-major axis of its orbit. As it’s the third which is most often used, Kepler’s law usually means Kepler’s third law (of planetary motion).