Periodic orbits for 3 and 4 co-orbital bodies
Verrier, Patricia and McInnes, Colin (2014) Periodic orbits for 3 and 4 co-orbital bodies. Monthly Notices of the Royal Astronomical Society, 442 (4). pp. 3179-3191. ISSN 0035-8711 (https://doi.org/10.1093/mnras/stu1056)
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Abstract
We investigate the natural families of periodic orbits associated with the equilibrium configurations of the the planar restricted 1 + n body problem for the case 2 « n « 4 equal mass satellites. Such periodic orbits can be used to model both trojan exoplanetary systems and parking orbits for captured asteroids within the solar system. For n = 2 there are two families of periodic orbits associated with the equilibria of the system: the well known horseshoe and tadpole orbits. For n = 3 there are three families that emanate from the equilibrium configurations of the satellites, while for n = 4 there are six such families as well as numerous additional connecting families. The families of periodic orbits are all of the horseshoe or tadpole type, and several have regions of neutral linear stability.
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Item type: Article ID code: 48361 Dates: DateEvent21 August 2014Published28 May 2014AcceptedNotes: Copyright owned by Authors Subjects: Technology > Mechanical engineering and machinery
Technology > Motor vehicles. Aeronautics. AstronauticsDepartment: Faculty of Engineering > Mechanical and Aerospace Engineering
Technology and Innovation Centre > Advanced Engineering and ManufacturingDepositing user: Pure Administrator Date deposited: 30 May 2014 09:10 Last modified: 08 Aug 2024 01:14 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/48361