An attempt to determine the stability of L = 1 periodic orbits in the circular model of three bodies

Details An attempt to determine the stability of L = 1 periodic orbits in the circular model of three bodies An attempt to determine the stability of L = 1 periodic orbits in the circular model of three bodies

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988iraj...18..271k&link_type=abstract

(Astronomocal Science Group of Ireland, Meeting, University College, Cork, Republic of Ireland, Mar. 31, 1988) Irish Astronomica

Statistics

Computation

Asteroids, Computational Astrophysics, Orbital Mechanics, Three Body Problem, Equations Of Motion, Libration, Orbital Resonances (Celestial Mechanics), Runge-Kutta Method

Scientific paper

The stability of periodic orbits with periods equal to one librational period (l = 1) for the Hecuba (2/1 resonance) and Hilda (3/2) type asteroids in the simple circular gravitational model has been determined. The characteristic exponents of the periodic orbits are calculated by integrating the variational equations over one period using the forth-order Runge-Kutta algorithm. Two of the six Hercuba orbits found, one with a time constant of 17,500 yr and one with a time constant of 1.6 Myr, are shown to be unstable.

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