Showing papers on "Trojan published in 1982"
10 citations
6 citations
01 Jan 1982
TL;DR: In this paper, the shape of small planetary satellites and asteroids is compared with the theory of equilibrium figures for self-gravitating masses, which allows to obtain interesting informations on the structure, density and strenght of these bodies.
Abstract: We discuss the new data on the shape of small planetary satellites and asteroids, comparing them with the theory of equilibrium figures for self-gravitating masses This comparison allows to obtain interesting informations on the structure, density and strenght of these bodies
5 citations
01 Jun 1982
TL;DR: In this paper, the authors studied Trojan type orbits in the system of two gravitational centers with variable separation, and the breakdown of librations as the separation decreases because of the mass gain of the smaller component and an approach of the body of negligible, mass to the latter up to the distance below its sphere of action with a relative velocity approximately equal to the escape one on this sphere.
Abstract: Trojan type orbits in the system of two gravitational centers with variable separation are studied within the framework of the restricted problem of three bodies. The backward numerical integration of the equations of motion of the bodies starting in the triangular libration pointsL4 andL5 (reverse problem) finds the breakdown of librations as the separation decreases because of the mass gain of the smaller component and an approach of the body of negligible, mass to the latter up to the distance below its sphere of action with a relative velocity approximately equal to the escape one on this sphere. The breakdown of librations aboutL5 occurs under the mass gain of the smaller component considerably larger than in the case ofL4 and implications are made for the asymmetry of the number of librators aboutL4 andL5 in the solar system (Greeks and Trojans). Other parameters of the libration motion near 1/1 commensurability are obtained, namely, the asymmetry of the libration amplitudes about the triangular points as well as the values of periods and amplitudes within the limits of those for real Trojan asteroids. Trojans could be supposedly, formed inside the Proto-jupiter and escape during its intensive mass loss.
3 citations
01 Jan 1982
TL;DR: The Trojan asteroids located at Jupiter's L4 and L5 Lagrangian points, 60° ahead and behind Jupiter, respectively, are members of a large family of objects which are locked in 1:1 orbital resonance with the planet as mentioned in this paper.
Abstract: The Trojan asteroids located at Jupiter’s L4 and L5 Lagrangian points, 60° ahead and behind Jupiter, respectively, are members of a large family of objects which are locked in 1:1 orbital resonance with the planet. These objects, in the average, move about the Sun at the same rate as Jupiter. Until recently the Trojans were representing the only case of orbital locking in such a resonance. The Voyager 1 and 2 flybys of Saturn revealed five more small objects which belong to this type of orbital resonance; one which librates about Dione’s L4 point, one each about Tethis’ L4 and L5 points, and finally, the two coorbiting pair 1980S1 and 1980S3.
2 citations
01 Jan 1982
TL;DR: In this article, the author summarizes the author's previous publications on the subject in the light of the numerical integrations by Deprit and Henrard, and the period of libration is expressed as a function of the mass parameter and the normalized Jacobian constant.
Abstract: This paper summarizes the author’s previous publications on the subject in the light of the numerical integrations by Deprit and Henrard. The period of libration is expressed as a function of the mass parameter and the normalized Jacobian constant. Brown’s conjecture regarding the termination of the tadpole branch of the family at L3is refined, and a heuristic proof of its validity is offered.
1 citations
TL;DR: In this paper, a long-periodic solution of the problem of the motion of the Trojan asteroids, treated as the case of 1:1 resonance in the restricted problem of three bodies, is presented.
Abstract: In previous publications the author has constructed a long-periodic solution of the problem of the motion of the Trojan asteroids, treated as the case of 1:1 resonance in the restricted problem of three bodies. The recent progress reported here is summarized under three headings:
1 citations