Suppose Kepler$$s laws were as follows: 

$($i$)$ A planet$$s orbit around the Sun is a circle with the Sun occupying a point on that circle.

$($ii$)$ The line connecting the planet to the Sun sweeps out equal areas in equal times.

In the spirit of Newton$$s deduction of the gravitational force law in our $($actual$)$ Solar System, determine the gravitational force law that would underlie planetary motion from these versions of Kepler$$s laws

Answer rating: 100% (QA)

To determine the gravitational force law underlying planetary motion based on these modified Keplers laws we can start by considering the second law i... View the full answer