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Publisher
Springer, Dordrecht
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Authors: Franz Spirig Jörg Waldvogel
Publish Date: 1985
Volume: , Issue: , Pages: 53-63
Abstract
The threebody problem with masses mo εm1 εm2 is considered in the limiting case ε → 0 By appropriately scaling the coordinates the motion is described by the following two matched approximations 1 the outer solution consisting of two independent Kepler motions about mo 2 the inner solution satisfying Hill’s lunar equation The discussion of Hill’s problem with appropriate boundary conditions at infinity correctly predicts that Saturn’s coorbiting satellites Janus and Epimetheus exchange orbits at the close encounter whereas the F ring shepherds 1980S26 and 1980S27 do not
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