Orbital stability close to asteroid 624 Hektor using the polyhedral model
Abstract
We investigate the orbital stability close to the unique L4point Jupiter binary Trojan asteroid 624 Hektor. The gravitational potential of 624 Hektor is calculated using the polyhedron model with observational data of 2038 faces and 1021 vertexes. Previous studies have presented three different density values for 624 Hektor. The equilibrium points in the gravitational potential of 624 Hektor with different density values have been studied in detail. There are five equilibrium points in the gravitational potential of 624 Hektor no matter the density value. The positions, Jacobian, eigenvalues, topological cases, stability, as well as the Hessian matrix of the equilibrium points are investigated. For the three different density values the number, topological cases, and the stability of the equilibrium points with different density values are the same. However, the positions of the equilibrium points vary with the density value of the asteroid 624 Hektor. The outer equilibrium points move away from the asteroid's mass center when the density increases, and the inner equilibrium point moves close to the asteroid's mass center when the density increases. There exist unstable periodic orbits near the surface of 624 Hektor. We calculated an orbit near the primary's equatorial plane of this binary Trojan asteroid; the results indicate that the orbit remains stable after 28.8375 d.
 Publication:

Advances in Space Research
 Pub Date:
 March 2018
 DOI:
 10.1016/j.asr.2017.12.011
 arXiv:
 arXiv:1803.06781
 Bibcode:
 2018AdSpR..61.1371J
 Keywords:

 Jupiter Trojan asteroid;
 Binary Trojan asteroid;
 Orbital stability;
 Polyhedron model;
 Equilibrium points;
 Astrophysics  Earth and Planetary Astrophysics
 EPrint:
 35 pages, 8 figures, Advance in Space Research 2018