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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.
Original language  English 

Pages (fromto)  31793191 
Number of pages  14 
Journal  Monthly Notices of the Royal Astronomical Society 
Volume  442 
Issue number  4 
DOIs  
Publication status  Published  21 Aug 2014 
Keywords
 celestial mechanics
 planets
 satellites
 dynamical stability
 dynamical evolution
 minor planets
 asteroids
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Dive into the research topics of 'Periodic orbits for 3 and 4 coorbital bodies'. Together they form a unique fingerprint.Projects
 1 Finished

VISIONSPACE  VISIONARY SPACE SYSTEMS: ORBITAL DYNAMICS AT EXTREMES OF SPACECRAFT LENGTH SCALE (ERC ADVANCED GRANT)
McInnes, C.
European Commission  FP7  European Research Council
1/02/09 → 30/09/14
Project: Research