Mathematics
Scientific paper
Apr 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32..333f&link_type=abstract
Celestial Mechanics (ISSN 0008-8714), vol. 32, April 1984, p. 333-347.
Mathematics
1
Celestial Mechanics, Perturbation Theory, Two Body Problem, Equations Of Motion, Kepler Laws, Linearization, Transformations (Mathematics)
Scientific paper
The authors rediscuss the regularization and linearization of the perturbed planar two-body problem. They study the generalization of the Sundman's (1912) transformation proposed by Szebehely and Bond and obtain the radial and transverse perturbations (represented by powers of the radial distance r), which can be linearized with these transformations. In this way they generalize some previous results of Belen'kii (1981) and Szebehely and Bond (1983). The authors also consider another generalization of Sundman's transformation, introduced by Cid et al. (1983), in the case when the radial and transverse perturbations are presented by polynomials in the reciprocal of the distance.
Ferrer Sebastián
Sein-Echaluce María L.
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