Journal ArticleDOI
The Motion of The Perihelion of Trojan Asteroids
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TLDR
In this paper, the perturbations in the eccentricity and the perihelion longitude of Trojan asteroids were investigated by using the equations of Jupiter's main perturbation in eccentricity.Abstract:
The problem is investigated by using the equations of Jupiter's main perturbations in the eccentricity and in the perihelion longitude of Trojan asteroids. The limits and the period of the variation of the eccentricity and of the perihelion longitude are calculated for 30 Trojans. The perihelion is shown to circulate in 20 cases and to librate for 10 asteroids.read more
Citations
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Journal ArticleDOI
Theory of motion of Saturn's coorbiting satellites
TL;DR: In this paper, a simple analytic theory describing the 1:1 orbital resonance is presented and applied to Saturn's coorbiting pair, 1980S1 and 1980S3, which can approach to within 15,000 km, but are prevented from passing each other by their mutual gravitational interaction.
Journal ArticleDOI
Capture of Trojans by a Growing Proto-Jupiter
TL;DR: In this paper, the authors studied the capture of planetesimals in Trojan orbits by a growing proto-Jupiter by integrating numerically the equations of motion of planets in a four-body problem Sun−Jupiter−Saturn-Planetesimal.
Journal ArticleDOI
Non-linear stability zones around triangular equilibria in the plane circular restricted three-body problem with oblateness
TL;DR: In this paper, non-linear stability zones of the triangular Lagrangian points are computed numerically in the case of oblate larger primary in the plane circular restricted three-body problem.
Origin and evolution of Trojan asteroids
TL;DR: The Trojans of the L4 and L5 Lagrangian points of Jupiter are known to have a 1:1 resonance with the main-belt of the planet.
Journal ArticleDOI
Stability of Trojan planets in multi-planetary systems: Stability of Trojan planets in different dynamical systems
TL;DR: In this article, the authors investigated the stability of the Lagrangian equilibrium points in the restricted three body problem for small mass ratios of the secondary and smaller masses, and found two systems (HD 155358 and HD 69830) that can host habitable Trojan planets.
References
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Journal ArticleDOI
The three-dimensional motion of Trojan asteroids
TL;DR: In this paper, the authors considered the problem of finding an asymptotic solution to the three-body problem with respect to the revolution around the Sun, the libration around the triangular Lagrangian points, and the motion of the perihelion.
Journal ArticleDOI
An Asymptotic Solution for the Trojan Case of the Plane Elliptic Restricted Problem of Three Bodies
TL;DR: In this paper, the authors considered the planar motion of a Trojan asteroid within the framework of the elliptic restricted three-body problem and derived the solution asymptotically to second order taking the square root of the Jupiter-Sun mass ratio and the orbital eccentricity of Jupiter as first order quantities.
Book ChapterDOI
The Planar Motion of a Trojan Asteroid
TL;DR: In this article, the authors considered the planar motion of an asteroid in an orbit close to that of Jupiter and derived a solution asymptotically to second order using the two-variable expansion procedure for the case of small Jupiter-sun mass ratio.