Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980aiaa.confq....k&link_type=abstract
American Institute of Aeronautics and Astronautics and American Astronautical Society, Astrodynamics Conference, Danvers, Mass.,
Astronomy and Astrophysics
Astronomy
Asteroids, Circular Orbits, Jupiter (Planet), Sun, Three Body Problem, Celestial Mechanics, Equations Of Motion, Mass Ratios, Resonance, Symmetry, Tables (Data)
Scientific paper
Periodic orbits of the asteroidal type in the circular restricted problem are studied by varying the period of the infinitesimal body (asteroid) and the mass ratio of the primaries (Sun-Jupiter mass ratio). The results indicate that asteroidal periodic orbits can exist for the actual Sun-Jupiter mass ratio for resonances of the Hecuba (2:1), Hilda (3:2) and Thule (4:3) groups, but not for resonances of higher consecutive integer ratios. It is also found that an asteroid can be placed in a periodic orbit at a position with mean motion between 2:1 and 3:2 even if Jupiter is about 9 times more massive than its actual value. However, an asteroid cannot be placed in a periodic orbit beyond the 4:3 resonance for the actual Sun-Jupiter mass ratio.
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