Studies on solar system dynamics. I - The stability of Saturnian Trojans

Details Studies on solar system dynamics. I - The stability of Saturnian Trojans Studies on solar system dynamics. I - The stability of Saturnian Trojans

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989aj.....97..900i&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 97, March 1989, p. 900-908. Research supported by NSERC, Academy of Finland, and Jen

Statistics

Computation

19

Asteroids, Computational Astrophysics, Many Body Problem, Saturn (Planet), Solar Orbits, Astronomical Models, Eccentricity, Lagrangian Equilibrium Points, Libration, Orbital Resonances (Celestial Mechanics), Power Spectra, Solar System, Dynamics, Stability, Saturn, Trojan Ateroids, Orbits, Numerical Methods, Resonance, Lagrange Points, Experiments, Power, Parameters, Spectra, Eccentricity, Simulations, Computer Methods, Giant Planets, Perturbations, Motion, Periodicity

Scientific paper

Numerical N-body integrations show that there may exist stable 1-1 resonance orbits of minor planets for each of the outer planets from Jupiter to Neptune. In Jupiter's case, these are the Trojan asteroids. Such orbits show no sign of instability, for at least ten million yr. For Saturn, the existence of such orbits is surprising because of the periodic proximity of Jupiter. This case was studied in some detail, and evidence was found of the importance of resonances in the stability of the Saturnian triangular Lagrangian points. The results of the numerical study are discussed, including the possibilities for constructing an analytic theory and what phenomena must be included in the treatment of the problem. The possibilities of observational confirmation of the conclusions are also considered. There is preliminary evidence for similar stability for the Trojan analogs of some of the inner planets.

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