The problem of escape in the n-body system

Details The problem of escape in the n-body system The problem of escape in the n-body system

Nov 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..12..383p&link_type=abstract

Celestial Mechanics, vol. 12, Nov. 1975, p. 383-390.

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2

Celestial Mechanics, Gravitational Fields, Many Body Problem, Astronomical Models, Escape, Gravitation Theory, Newton Theory

Scientific paper

The celestial bodies are considered as mass-points attracting each other according to Newton's law. Khilmi (1961) obtained some sufficient conditions for the occurrence of disintegration and escape in the n-body system as time tends to infinity using his theory of continuous induction, inductiveness of inequalities and alpha-approach. Making an analytic approach, an improved version of Khilmi's result on escape and conditions to avoid disintegration is obtained.

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