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Canonical Treatments for the Two Bodies Problem with Varying Mass Taking into Consideration the Periastron Effect

Canonical Treatments for the Two Bodies Problem with Varying Mass Taking into Consideration the Periastron Effect
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摘要 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. 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.
机构地区 Astronomy Department
出处 《International Journal of Astronomy and Astrophysics》 2014年第1期70-79,共10页 天文学与天体物理学国际期刊(英文)
关键词 Two Body with VARYING MASS PERTURBATION Hori’s Method Two Body with Varying Mass Perturbation Hori’s Method
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