Electronic Resource
Springer
Celestial mechanics and dynamical astronomy
33 (1984), S. 71-84
ISSN:
1572-9478
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract In this paper we consider the mathematical aspect of Laplace's problem pertaining to the occurrence probability of elliptical and hyperbolical orbits for comets. We show that, among other things, if we use arbitrary velocity distributions in Laplace's problem, we may obtain an arbitrarily small probability for elliptical orbits and a probability neighbouring around one for hyperbolic orbits, or conversely. Our theorems hold, even for the variable initial conditions. The aspect presented here permits us to describe easily studies of Laplace's problem.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01231095
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