Gravitation

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Physics Newtonian Mechanics Gravitation

	The Two Shell Theorems:
	The shell theorem gives gravitational simplifications which can be applied to objects inside or outside a spherically symmetrical body. Applying Newton's Universal Law of Gravitation, the magnitude of the force due to the shaded band is However, since there is partial cancellation due to the vector nature of the force, the leftover component (in the direction pointing toward m) is given by If the shell has mass M and radius R, the surface density of the entire shell is The force can then be written as : Then using the above expressions the resulting integral can be evaluated to obtain the force of gravitation as: