This article is cited in 3 papers

Some periodic orbits of general three body problem with vanishing angular momentum

V. B. Titov

Saint-Petersburg State University, Universitetskaya nab. 7–9, St. Petersburg, 199034, Russia

Abstract: The periodic solutions of general three body problem are found. The solutions under discussion are extension of well-known figure-eight orbit. Found orbits are described on the Euclide plane and on form sphere.

Keywords: three body problem, periodic orbits, figure-eight, celestial mechanics.

UDC: 531.01:521.131

MSC: 70F07, 70F15

Received: 31.01.2012
Accepted: 22.02.2012