The Schwarzschild problem: a model for the motion in the solar system.

Details The Schwarzschild problem: a model for the motion in the solar system. The Schwarzschild problem: a model for the motion in the solar system.

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997babel.156...21m&link_type=abstract

Bulletin Astronomique de Belgrade, No. 156, p. 21 - 26

Astronomy and Astrophysics

Astronomy

2

Solar System: Dynamics

Scientific paper

The motion in a field featured by a force function A/r+B/r3 (the Schwarzschild problem) constitutes a realistic model for the dynamics in the relativistic solar gravitational field. A qualitative study is performed by using the powerful tool of McGehee's transformations. The local flow on collision and infinity manifolds is described, allowing the study of orbits with very large eccentricities. For the case of parabolic-type motion, the global flow can be described. This qualitative analysis is very useful to the understanding of the motion of certain small bodies of the solar system (comets, some asteroids) at very small and very large distances from the Sun.

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