Critical inclination of Trojan asteroids

Details Critical inclination of Trojan asteroids Critical inclination of Trojan asteroids

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34..435e&link_type=abstract

(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab

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11

Asteroids, Inclination, Orbit Perturbation, Orbital Elements, Lagrangian Equilibrium Points, Librational Motion

Scientific paper

Using Erdi's solution (1978, 1981) for the Trojan problem, the critical inclination of Trojan asteroids is studied analytically. It is shown that depending on the librational amplitude of the asteroids around the Lagrangian point, there is a critical inclination which determines the sign of the variation of the ascending node. If the orbital inclination of a Trojan is smaller than the critical one, the ascending node decreases otherwise it increases. The existence of the critical inclination also affects the long-periodic variation of the eccentricity and of the longitude of the perihelion of the asteroids.

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