Journal ArticleDOI
The Trojan problem
TLDR
An overview on the current status of researches on real and hypothetical Trojan asteroids of the major planets is given in this paper, where questions of dynamical properties, long-term evolution of orbits, stability regions around the triangular Lagrangian points are discussed among other problems of the Trojans.Abstract:
There has been a renewed interest in the Trojan problem in recent years. Significant progress has been made in discovering and understanding dynamical features of motion of Jupiter’s Trojan asteroids. The dynamics of hypothetical Trojan-type asteroids of other major planets has also been the subject of several recent investigations. This paper offers an overview on the current status of researches on real and hypothetical Trojan asteroids of the major planets. Results of analytical and numerical works are surveyed. Questions of dynamical properties, long-term evolution of orbits, stability regions around the triangular Lagrangian points are discussed among other problems of the Trojans.read more
Citations
More filters
Journal ArticleDOI
The resonant structure of Jupiter's Trojan asteroids – I. Long‐term stability and diffusion
Philippe Robutel,F. Gabern +1 more
TL;DR: In this paper, the authors studied the global dynamics of the jovian Trojan asteroids by means of the frequency map analysis and classified the main resonant structures that serve as skeleton of the phase space near the Lagrangian points.
Journal ArticleDOI
On the Origin of the Trojan Asteroids: Effects of Jupiter's Mass Accretion and Radial Migration
TL;DR: In this article, the effects of Jupiter's accretion of nebular gas and the planet's radial migration on its Trojan companions were analyzed using the planar circular restricted three-body problem.
Journal ArticleDOI
Co-orbital terrestrial planets in exoplanetary systems: a formation scenario
TL;DR: In this article, the formation of a hypothetical terrestrial-type body in the equilateral Lagrange points of a giant extrasolar planet is studied. But due to the gravitational instabilities within the swarm, the accretional process is not very efficient and the final planet never seems to exceed ~0.6 Earth masses, even when the total mass of the swarm is five times this value.
Book ChapterDOI
The Phase Space Structure Around L4 in the Restricted Three-Body Problem
TL;DR: In this paper, the phase space structure around L 4 in the restricted three-body problem is investigated and the connection between the long period family emanating from L 4 and the very complex structure of the stability region is shown by using the method of Poincare's surface of section.
Journal ArticleDOI
Nekhoroshev stability at L4 or L5 in the elliptic‐restricted three‐body problem – application to Trojan asteroids
TL;DR: In this article, the authors extend the analytical estimates of Nekhoroshev stability in the case of the planar elliptic-restricted three-body problem (ERTBP) to a planar symplectic mapping model, obtained via Hadjidemetriou's method.
References
More filters
Theory of Orbits.
TL;DR: In this paper, a book on theory of orbits covering restricted problem of three bodies, two bodies in rotating coordinate system and periodic orbits is presented. But it does not cover the problem of periodic orbits.
Journal ArticleDOI
Symplectic maps for the N-body problem.
Jack Wisdom,Matthew J. Holman +1 more
TL;DR: In this paper, the authors generalize the mapping method of Wisdom (1982) to encompass all gravitational n-body problems with a dominant central mass and use it to compute the evolution of the outer planets for a billion years.
Journal ArticleDOI
Dynamical Stability in the Outer Solar System and the Delivery of Short Period Comets
Matthew J. Holman,Jack Wisdom +1 more
TL;DR: Test particle stability in the outer solar system is surveyed in this paper, where the initial conditions of the test particles fall into two categories: (1) orbits initially near the Lagrange L 4 and L 5 points of the Jovian planets, and (2) circular orbits in the invariable plane with semimajor axes of 5-50 AU.
Book ChapterDOI
The Trojan Asteroid Belt: Proper Elements, Stability, Chaos and Families
TL;DR: In this article, the authors computed proper elements for 174 asteroids in the 1: 1 resonance with Jupiter, that is for all the reliable orbits available (numbered and multi-opposition).
Related Papers (5)
Dynamical evolution of Jupiter's Trojan asteroids
A Semianalytical Model for the Motion of the Trojan Asteroids: Proper Elements and Families
Cristian Beaugé,Fernando Roig +1 more