Abstract
The author's earlier solution for Trojan asteroids is developed further. It is shown that depending on the amplitude of libration around the Lagrangian point L4, 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, then the ascending node decreases and otherwise it increases. The variation of the eccentricity and of the longitude of the perihelion has also a dependence on the critical inclination.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bien, R. and Schubart, J.: 1983, in V. V. Markellos and Y. Kozai (eds.), ‘Dynamical Trapping and Evolution in the Solar System’, D. Reidel Publ. Co., Dordrecht, Holland, pp. 153–161.
Érdi, B.: 1978, Celes. Mech.18, 141.
Érdi, B.: 1981, Celes. Mech.24, 377.
Érdi, B. and Váradi F.: 1983, in C.-I. Lagerkvist and H. Rickman (eds.), ‘Asteroids Comets and Meteors’, Uppsala Universitet, Uppsala, pp. 155–159.
Kevorkian, J.: 1970, in G. E. O. Giacaglia (ed.), ‘Periodic Orbits, Stability and Resonances’, D. Reidel Publ. Co., Dordrecht, Holland, pp. 286–303.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Érdi, B. Critical inclination of Trojan asteroids. Celestial Mechanics 34, 435–441 (1984). https://doi.org/10.1007/BF01235820
Issue Date:
DOI: https://doi.org/10.1007/BF01235820