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Canonical Treatments for the Two Bodies Problem with Varying Mass Taking into Consideration the Periastron Effect
Astronomy Department, Faculty of Science, King Abdu Aziz University, Jeddah, Saudi Arabia
Astronomy Department, Faculty of Science, King Abdu Aziz University, Jeddah, Saudi Arabia
- 1 Astronomy Department, Faculty of Science, King Abdu Aziz University, Jeddah, Saudi Arabia
- 2 Astronomy Department, Faculty of Science, King Abdu Aziz University, Jeddah, Saudi Arabia
International Journal of Astronomy and Astrophysics·Volume 04 (2014)·Pages 70–79·Published 4 March 2014·DOI10.4236/ijaa.2014.41008
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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.
KeywordsTwo Body with Varying MassPerturbationHori’s Method
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