Euler's three-body problem
THE EXACTLY SOLVABLE PROBLEM OF A PARTICLE THAT IS ACTED UPON BY THE GRAVITATIONAL FIELD OF TWO OTHER POINT MASSES THAT ARE FIXED IN SPACE
Euler three-body problem; Restricted 3-body problem; Euler's three body problem; Copenhagen problem; Pythagorean problem; Problem of two fixed centers; Euler-Jacobi problem; Problem of two centers; Problem of two centers of gravitation; Two-center Kepler problem; Problem of two fixed centres; Problem of two centres; Two-centre Kepler problem; Problem of two centres of gravitation; Darboux's problem; Velde's problem; Copenhagen Problem; CRTBP
In physics and astronomy, Euler's three-body problem is to solve for the motion of a particle that is acted upon by the gravitational field of two other point masses that are fixed in space. This problem is exactly solvable, and yields an approximate solution for particles moving in the gravitational fields of prolate and oblate spheroids.