There is no general analytical solution in terms of simple algebraic functions for the problem of three gravitating bodies of comparable masses. Except in a few very specific cases the problem has to ...There is no general analytical solution in terms of simple algebraic functions for the problem of three gravitating bodies of comparable masses. Except in a few very specific cases the problem has to be solved numerically. However in the restricted three-body problem, we imagine that there are two bodies of comparable masses revolving around their common center of mass, and a third body of negligible mass moves in the field of the other two.
