Calculations based on Reduced Mass

Reduced Mass

In physics, the reduced mass is the "effective" inertial mass appearing in the two-body problem of Newtonian mechanics. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem.The reduced mass is frequently denoted by µ (mu), although the standard gravitational parameter is also denoted by µ (as are a number of other physical quantities) it has the dimensions of mass, and SI unit kg.

Given two bodies, one with mass m1 and the other with mass m2, the equivalent one-body problem, with the position of one body with respect to the other as the unknown, is that of a single body of mass

\[\mu = \frac{1}{\frac{1}{m_{1}}+\frac{1}{m_{2}}} = \frac{m_{1}m_{2}}{m_{1}+m_{2}} \]

let the value of m1=x , m2 =y

Posted on by