TITLE:
Canonical Treatments for the Two Bodies Problem with Varying Mass Taking into Consideration the Periastron Effect
AUTHORS:
M. I. El-Saftawy, Amirah R. Algethami
KEYWORDS:
Two Body with Varying Mass; Perturbation; Hori’s Method
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.4 No.1,
March
7,
2014
ABSTRACT: In this work, the
Hamiltonian of the two body problem with varying mass was developed in the
extended phase space taking into consideration the periastron effects. The
short period solution was obtained through constructing a second order
canonical transformation using “Hori’s” method developed by “Kamel”. The
elements of the transformation as well as the inverse transformation were
obtained too. The final solution of the problem was derived using
“Delva-Hanslmeier” method.