Theory of the Trojan asteroids - IV

Details Theory of the Trojan asteroids - IV Theory of the Trojan asteroids - IV

Aug 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..30..373g&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 30, Aug. 1983, p. 373-383.

Mathematics

9

Asteroids, Orbital Mechanics, Resonance, Three Body Problem, Critical Mass, Lagrangian Equilibrium Points, Orbit Calculation, Orbital Elements, Solar Orbits, Asteroids, Trojan Asteroids, Theoretical Studies, Hypotheses, Orbits, Analysis, Mathematical Models, Motion, Mass, Energy, Resonance, Three Body Problem, Diagrams

Scientific paper

The domain of the analytical solution of the problem of the motion of three bodies in long-period orbits is constructed. The domain is shown to be the intersection of the shallow resonance intervals when consideration is given to the critical masses or the associated critical energies. Deep resonance conditions indicate the presence of disjoint intervals, where the family of long-periodic orbits will coincide with a tadpole branch that is terminated by a separatrix which passes through the libration point L3.

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