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Modern view on Laplace's problem

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Abstract

We consider the Laplace's problem pertaining to occurrence probability of elliptical and hyperbolical orbits of comets, assuming various distributions of their velocities and variable initial conditions. Such approach seems to explain contradictory results obtained by different investigators and suggests that predominance of one type over the other type orbits, may result-among other-from assumed maximal velocity range of comets and their velocity distribution.

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Hurnik, H., Serafin, R.A. Modern view on Laplace's problem. Celestial Mechanics 31, 53–72 (1983). https://doi.org/10.1007/BF01272560

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