The escape velocity for a limited material distribution in a gravity field


Abstract in English

This paper discusses the escape velocity for a limited material distribution in a gravity field. This requeres examining the Newton’s law of gravitation , the gravitational field vector of a limited material distribution in a specific point and potential function togother with the potential energy. In paper, have proved that potential energy vanished in infinity . This requires also examining Hamilton’s function then we have found the escape velocity of a material point from a sphere’s surface ,when the motion of the material point is vertical , horizontal or oblique . We found the escape velocity for a material point from a disk in the vertical and oblique cases. In paper, we also find out the escape velocity from a ring in both vertical and oblique cases . It is appeared that the escape velocity from the ring identifies with that we get from the sphere case.

References used

M.L.Boas,Mathematical methods in Physical Sciences,3rd edition, Wiley ,2006
Michael Fowler, University of Virginia, Physics 152 Notes, May, 2007
K. Abdullah, Propriétés du système séculaire, , thèse de doctorat de l'Observatoire de Paris, Paris 2001

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