LINEARIZATION AND REGULARIZATION OF THE E QUATIONS OF KEPLERIAN MOTION IN A 4-DIMENSIONAL PARAMETRIC SPACE

Authors
SHEFER VA
Citation
Va. Shefer, LINEARIZATION AND REGULARIZATION OF THE E QUATIONS OF KEPLERIAN MOTION IN A 4-DIMENSIONAL PARAMETRIC SPACE, ASTRONOM ZH, 70(5), 1993, pp. 1113-1119
Citations number
12
Categorie Soggetti
Astronomy & Astrophysics
Journal title
ASTRONOMICESKIJ ZURNAL
ISSN journal
00046299 → ACNP
Volume
70
Issue
5
Year of publication
1993
Pages
1113 - 1119
Database
ISI
SICI code
0004-6299(1993)70:5<1113:LAROTE>2.0.ZU;2-C
Abstract
On the basis of the method described earlier by the author, the proced ure of linearization and regularization of the differential equations of motion of the two-body problem in a four-dimensional parametric spa ce is stated. Together with the integrals of motion and time transform ation, the transformation of coordinates, generalizing Kustaanheimo - Stiefel transformation, is used. The given method is applied to the ca se of a perturbed motion as well.