A theory of the Trojan asteroids

Details A theory of the Trojan asteroids A theory of the Trojan asteroids

Nov 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14..301g&link_type=abstract

(Conference on Mathematical Methods in Celestial Mechanics, 5th, Oberwolfach, West Germany, Aug. 24-30, 1975.) Celestial Mechani

Mathematics

1

Asteroids, Lagrangian Equilibrium Points, Three Body Problem, Trojan Orbits, Degrees Of Freedom, Error Analysis, Harmonic Oscillation, Orbit Perturbation, Resonant Vibration

Scientific paper

The paper constructs a long-periodic solution for the case of 1:1 resonance in the restricted problem of three bodies. The solution is smoothed by the exclusion of the internal resonant terms arising from the near-commensurability between the long and the short periods of the asteroid. Although the Brown (1911) conjecture regarding the termination of the family of the 'tadpoles' at the Lagrangian point L3 is not supported by the present analysis, the conjecture seems to hold in the limit as m approaches zero.

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