A test of escape valid even for very small mutual distances. I - The acceleration and the escape velocities of the third body

Details A test of escape valid even for very small mutual distances. I - The acceleration and the escape velocities of the third body A test of escape valid even for very small mutual distances. I - The acceleration and the escape velocities of the third body

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..193m&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, July 1984, p. 193-207.

Physics

10

Acceleration (Physics), Celestial Mechanics, Escape Velocity, Three Body Problem, Bodies Of Revolution, Extremum Values, Gravitational Effects, Minima

Scientific paper

The authors consider a three-body system with three given point-masses and analyze its bounded solutions with a given angular momentum. In the first part they analyze the motion of the third mass, its acceleration and its escape velocities when, with a suitable scalar k, a condition of the type r ≤ kR remains forever satisfied (r being the mutual distance of the two masses of the "binary" and R the distance between the center of mass of the binary and the "third mass"). In the second part the authors look for initial conditions under which the inequality r ≤ kR will remain forever satisfied and develop the corresponding test and its applications.

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