A study on the large oscillation stability of Trojan asteroids around libration points

Details A study on the large oscillation stability of Trojan asteroids around libration points A study on the large oscillation stability of Trojan asteroids around libration points

Feb 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975anlar..58..220b&link_type=abstract

Accademia Nazionale dei Lincei, Atti, Rendiconti - Classe di Scienze Fisiche, Matematiche e Naturali, vol. 58, Feb. 1975, p. 220

Mathematics

Asteroids, Celestial Mechanics, Four Body Problem, Libration, Saturn (Planet), Solar Orbits, Gravitational Effects, Lagrangian Equilibrium Points, Motion Stability

Scientific paper

The Trojan asteroid motion problem is considered in a mathematical model which accounts for the perturbing action of Saturn. A restricted four-body problem is formulated, and large oscillations around libration points are studied for stability. Analytical development of the model shows the nonexistence of periodic solutions in the case of large oscillations in a region around a libration point.

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