The post-Newtonian orbital elements of the analytical solution due to Damour and Deruelle in order to resolve the differential equation of the two body problem. (Q2783769)
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scientific article; zbMATH DE number 1730743
| Language | Label | Description | Also known as |
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| English | The post-Newtonian orbital elements of the analytical solution due to Damour and Deruelle in order to resolve the differential equation of the two body problem. |
scientific article; zbMATH DE number 1730743 |
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2001
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general relativity
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The post-Newtonian orbital elements of the analytical solution due to Damour and Deruelle in order to resolve the differential equation of the two body problem. (English)
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The authors present a deep study of the analytical solution due to \textit{T. Damour} and \textit{N. Deruelle} [Ann. Inst. Henri Poincaré, Phys. Théor. 43, 107--132 (1985; Zbl 0585.70010); ibid. 44, 263--292 (1986; Zbl 0617.70010)] in order to resolve the differential equation of the post-Newtonian two body problem. The Sun-Mercury system is used to study the accuracy of the solution. The results are compared with those obtained through a direct numerical integration of the equations of motion. It is found that the Damour-Deruelle solution describes, with a high degree of accuracy, the motion of Mercury compared with that obtained with the direct numerical integration.
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0.8467810750007629
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0.7471343278884888
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