The accelerated Kepler problem |
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Authors: | F Namouni M Guzzo |
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Institution: | 1.Laboratoire Cassiopée,CNRS UMR 6202,Nice,France;2.Dipartimento di Matematica Pura ed Applicata,Università degli Studi di Padova,Padova,Italy |
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Abstract: | The accelerated Kepler problem (AKP) is obtained by adding a constant acceleration to the classical two-body Kepler problem.
This setting models the dynamics of a jet-sustaining accretion disk and its content of forming planets as the disk loses linear
momentum through the asymmetric jet-counterjet system it powers. The dynamics of the accelerated Kepler problem is analyzed
using physical as well as parabolic coordinates. The latter naturally separate the problem’s Hamiltonian into two unidimensional
Hamiltonians. In particular, we identify the origin of the secular resonance in the AKP and determine analytically the radius
of stability boundary of initially circular orbits that are of particular interest to the problem of radial migration in binary
systems as well as to the truncation of accretion disks through stellar jet acceleration. |
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Keywords: | Kepler problem Stellar jets Extrasolar planets Stellar binaries |
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