Brun's Theorem is a statement concerning the ten classic integrals associated with this problem.
Brun's Theorem is a statement concerning the ten classic integrals associated with this problem. By use of global regularizations, Karl Sundman found a uniformly convergent infinite series involving known functions that solves the "restricted" version of this problem. In the problem, the constant of motion is known as the Jacobi Integral and Lagrange Points are the areas where centrifugal and gravitational forces balance. That its unrestricted version will probably never be solved was demonstrated by Poincare, well after Isaac Newton first solved it for two planets. FTP, name this mathematical problem of gravitational interaction most commonly associated with the sun, earth and moon.
Brun's Theorem is a statement concerning the ten classic integrals associated with this problem.
{Three-Body} Problem