On the restricted circular conservative three-body problem with variable masses
- 10 May 2009
- journal article
- Published by Pleiades Publishing Ltd in Astronomy Letters
- Vol. 35 (5), 349-359
- https://doi.org/10.1134/s1063773709050107
Abstract
We consider the restricted circular three-body problem in which the main bodies have variable masses but the sum of their masses always remains constant. For this problem, we have obtained the possible regions of motions of the small body and the previously unknown surfaces of minimum energy that bound them using the Jacobi quasi-integral. For constant masses, these surfaces transform into the well-known surfaces of zero velocity. We consider the applications of our results to close binary star systems with conservative mass transfer.Keywords
This publication has 4 references indexed in Scilit:
- Mémoire sur le problème des trois corpsActa Mathematica, 1913
- Ueber die Integration der Bewegungsgleichungen im Probleme zweier Körper von veränderlicher MasseAstronomische Nachrichten, 1902
- Die Bahnbewegungen in einem Systeme von zwei Körpern in dem Falle, dass die Massen Veränderungen unterworfen sindAstronomische Nachrichten, 1884
- Researches in the Lunar TheoryAmerican Journal of Mathematics, 1878