Stability of resonant orbits in planetary systems with spheroidal star

Details Stability of resonant orbits in planetary systems with spheroidal star Stability of resonant orbits in planetary systems with spheroidal star

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...169..355i&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 169, no. 1-2, Nov. 1986, p. 355-359.

Astronomy and Astrophysics

Astrophysics

2

Circular Orbits, Extrasolar Planets, Motion Stability, Orbital Mechanics, Planetary Systems, Equations Of Motion, Hamiltonian Functions, Periodic Variations, Three Body Problem

Scientific paper

The authors study the effect of the oblateness or prolateness of the massive body (star) on the stability of planar periodic motions of a planetary system with two planets. They study the direct periodic orbits in the neighbourhood of the resonance 1/3. It is known that for zero masses of the planets the system is evidently stable, but an increase of the masses of the planets destabilizes these orbits. The results show that the increase of the prolateness or oblateness of the star restores their stability.

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