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Tip #1

Tip #2

Tip #3
There is no gravitational field inside a spherical shellTip #4

Tip #5
Those layers of the sphere which have radii larger than r do not have any contribution to the gravitational potentialsTip #6

Tip #7
Geodesic-is the shortest distance between any two points. Geodesic between two points lying close to each other is a straight line. On a spherical surface like that of earth Geodesic is the great circle joining two points.Tip #8
The gradient at any point on the gravitational potential energy curve represents the force pulling the body towards the planet.Tip #9

Tip #10

Tip #11



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