The motion of Saturn coorbital satellites in the restricted three-body problem

Details The motion of Saturn coorbital satellites in the restricted three-body problem The motion of Saturn coorbital satellites in the restricted three-body problem

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001a%26a...378.1087l&link_type=abstract

Astronomy and Astrophysics, v.378, p.1087-1099 (2001)

Astronomy and Astrophysics

Astrophysics

10

Celestial Mechanics, Planets And Satellites, Solar System

Scientific paper

This paper provides a description of the motion of Saturn coorbital satellites Janus and Epimetheus by means of horseshoe periodic orbits in the framework of the planar restricted three-body problem for the mass parameter mu =3.5x 10-9. The mechanism of existence of such orbits for any value of mu >0 and the Jacobi constant C close to C(L3), L3 being an adequate collinear equilibrium point, is analyzed from two different points of view and a systematic way to compute the horseshoe periodic orbits is also described.

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