Periodic orbits of the retrograde coorbital problem

Author(s)

Morais, M. H. M. ^[1] ; Namouni, F. ^[2]

Affiliation

^[1] Univ Estadual Paulista UNESP, Inst Geociencias & Ciencias Exatas, Ave 24-A, 1515, BR-13506900 Rio Claro, SP - Brazil

^[2] Univ Cote Azur, CNRS, Observ Cote Azur, CS 24229, F-06304 Nice - France

• Document type: Journal article
• Source: Monthly Notices of the Royal Astronomical Society; v. 490, n. 3, p. 3799-3805, DEC 2019.
• Web of Science Citations: 0

Abstract

Asteroid (514107) Ka `epaoka' awela is the first example of an object in the 1/1 mean motion resonance with Jupiter with retrograde motion around the Sun. Its orbit was shown to be stable over the age of the Solar system, which implies that it must have been captured from another star when the Sun was still in its birth cluster. Ka'epaoka'awela orbit is also located at the peak of the capture probability in the coorbital resonance. Identifying the periodic orbits that Ka'epaoka'awela and similar asteroids followed during their evolution is an important step towards precisely understanding their capture mechanism. Here, we find the families of periodic orbits in the two-dimensional retrograde coorbital problem and analyse their stability and bifurcations into three-dimensional periodic orbits. Our results explain the radical differences observed in 2D and 3D coorbital capture simulations. In particular, we find that analytical and numerical results obtained for planar motion are not always valid at infinitesimal deviations from the plane. (AU)

• FAPESP's process: 18/08620-1 - Orbital resonances in configurations with arbitrary relative inclination
• Grantee: Maria Helena Moreira Morais
• Support Opportunities: Regular Research Grants