Computer Science
Scientific paper
Sep 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991em%26p...54..257v&link_type=abstract
Earth, Moon, and Planets (ISSN 0167-9295), vol. 54, Sept. 1991, p. 257-267.
Computer Science
2
Asteroids, Dynamic Models, Eccentricity, Solar Orbits, Three Body Problem, Trajectory Analysis, Eccentric Orbits, Orbital Resonances (Celestial Mechanics)
Scientific paper
A modified elliptical restricted three-body problem is examined numerically for several third-body trajectories for the case of a second-primary orbit with an eccentricity varying sinusoidally with time. The trajectories of the third body are changed significantly by introducing time variability in the eccentricity of the second primary's orbit in the case of 2:1 resonance. The osculating eccentricities of the third-body trajectories demonstrate chaotic variation with relatively short timescales and occasional significant increases. The third body approaches the first primary at small distances relative to the semimajor axis of the second primary's trajectory around the first primary. The results are compared to the Sun-Jupiter-asteroid problem and can be employed to study the asteroid trajectories related to second-primary orbits with constant eccentricities.
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