Sitnikov problem
Sitnikov problem is a problem about restricted three-body problem.
In 1911, United States Scientist William Duncan MacMillan found one special solution about a restricted three-body problem. In 1961, Russian mathematician Sitnikov improve this problem.
Defenition
In Sitnikov problem. The system consists of two primary bodies with same mass and one very small mass body. Two primary bodies rotate elliptical orbit along the Center of mass.
If the small bodies move along the perpendicular axis and crossing the center of mass, this is a Sitnikov problem.
History
In 1911, United States Scientist William Duncan MacMillan found one special solution about a circular orbit case.