Abstract
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 then-body system as time tends to infinity using his theory of continuous induction, inductiveness of inequalities and α-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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References
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Patnaik, R.B. The problem of escape in then-body system. Celestial Mechanics 12, 383–390 (1975). https://doi.org/10.1007/BF01228570
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DOI: https://doi.org/10.1007/BF01228570