Mathematics
Scientific paper
Jun 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980icar...42..422d&link_type=abstract
Icarus, vol. 42, June 1980, p. 422-441. NASA-supported research
Mathematics
15
Ejecta, Natural Satellites, Particle Trajectories, Planetary Orbits, Roche Limit, Space Debris, Amalthea, Deimos, Deposition, Hill Method, Hypervelocity Impact, Numerical Integration, Phobos, Planetary Rotation, Planetary Surfaces, Trajectory Analysis, Planets, Satellites, Roche Limit, Ejecta, Distribution, Impact Craters, Surface, Asteroids, Phobos, Deimos, Amalthea, Dynamics, Tides, Shape, Procedure, Techniques, Three Body Problem, Mathematical Models, Mars, Deposition, Trajectories, Jupiter, J14, Data, D
Scientific paper
A study of the dynamics of nearby debris from impact craters was made to explain the distinctive features seen on Phobos, Deimis, and Amalthea. The planetary tides and satellite rotation were considered, and the usual pseudo-energy (Jacobi) integral was numerically calculated in the framework of a restricted body problem where satellites are modelled as triaxial ellipsoids rather than point masses. Iso-contours of this integral show that Deimos and Amalthea are entirely closed by Roche lobes, and the surfaces of their model ellipsoids lie nearly along equipotentials. Presently, the surface of Phobos overflows its Roche lobe, except for regions within a few km of the sub-Mars and anti-Mars points. The behavior of crater ejecta from the satellites of Mars were also examined by numerical integration of trajectories for particles leaving their surfaces in the equatorial plane.
Burns Joseph A.
Dobrovolskis Anthony R.
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