New contributions to the problem of capture

Details New contributions to the problem of capture New contributions to the problem of capture

Feb 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977icar...30..385h&link_type=abstract

Icarus, vol. 30, Feb. 1977, p. 385-401.

Computer Science

63

Capture Effect, Jupiter (Planet), Lagrangian Equilibrium Points, Natural Satellites, Three Body Problem, Computer Techniques, Eccentric Orbits, Gravitational Effects, Numerical Integration, Orbital Elements

Scientific paper

Libration-point capture is analyzed in the framework of the restricted three-body problem in order to obtain general results capable of predicting the major features of an arbitrary postcapture orbit, with specific reference to capture as the presumed mode of origin of Jupiter's outer satellites. Some examples of libration-point capture are computed, the time a body remains captured is estimated, and a long-term numerical integration of orbits is carried out which shows that the equation used to estimate capture lifetimes is quite conservative. An extended capture criterion is proposed and used to demonstrate that direct postcapture orbits lie outside retrograde ones. Mass change involving one or both primaries is evaluated as a means of producing permanent capture, it is found that mass-change effects can produce 'pull-down capture', and consideration is given to the orbital evolution of Jupiter's outer satellites. The effect of drag in the solar nebula or in a nebula around proto-Jupiter on the capture process is briefly investigated. It is concluded that a capture origin for the outer satellites is improbable within the last 4.6 billion years but that either mass change or nebula drag could have been effective in producing capture.

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