Answer to Question #165486 in Classical Mechanics for Muhamad Rais B Rahman

Question

An object of mass m moving under the action of a central force Fc(r) due to a much bigger object of mass M. i. Define a central force Fc (r). ii. Write the areal velocity A˙ in terms of the mass m and magnitude L of the angular momentum of the smaller object. iii. Show that the Kepler’s third law (the harmonic law) actually can be deduced from your answer in part a) ii.

Answer 1

Answer

A force which act along the line joining the center of objects. Known as central force.

A real velocity can be given as

$\frac{A}{t}=\frac{L}{2m}$