ANALYTIC SOLUTION OF THE 2-BODY PROBLEM WITH SLOWLY DECREASING MASS

Authors
PRIETO C DOCOBO JA
Citation
C. Prieto et Ja. Docobo, ANALYTIC SOLUTION OF THE 2-BODY PROBLEM WITH SLOWLY DECREASING MASS, Astronomy and astrophysics, 318(2), 1997, pp. 657-661
Citations number
17
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Astronomy and astrophysics → ACNP
ISSN journal
00046361
Volume
318
Issue
2
Year of publication
1997
Pages
657 - 661
Database
ISI
SICI code
0004-6361(1997)318:2<657:ASOT2P>2.0.ZU;2-0
Abstract
We intend to present an approximate analytic solution of the two-body problem with slowly decreasing mass which is obtained through the inte gration of the Hamilton equations using A. Deprit's method of perturba tions. The solution, obtained through the law of mass variation m = -a lpha m(n) is put into practice in a specific case and compared with F. Mestschersky's exact equation (n = 2) and with that which results fro m numerically integrating the equations.