Question

What is the advantages of reducing two body problem to one body problem?

Answer 1

Explanation:

For simplicity, we choose the center of mass of two bodies to be at the center of the Sun, which stayed stationary at the origin of our coordinate system.

Here we will use a different approach and allow two bodies to move around a common center of mass.

Answer 2

Explanation:

Jump to Reduction to two independent, one-body problems · For many forces, including gravitational ones, the general version of the two-body problem can be reduced to a pair of one-body problems, allowing it to be solved completely, and giving a solution simple enough to be used effectively.