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Erschienen in:
1996 | OriginalPaper | Buchkapitel
Central Forces
verfasst von : Nathaniel Grossman
Erschienen in: The Sheer Joy of Celestial Mechanics
Verlag: Birkhäuser Boston
Enthalten in: Professional Book Archive
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A central force field is one whose action is always directed toward a fixed point. If that fixed point is taken to be the origin, and if i is taken to be a unit vector directed from the origin to the position r of a particle acted upon by the central force, then the force field can be written83$$F(r)=-mP(r)i,$$where P is a scalar function and m is the mass of the particle. The equation of motion for a particle of constant mass can be written down using Newton’s Second Law; it is84$$\ddot{r}=-Pi.$$