Transformation between orbital parameters in different coordinate systems of the general relativistic schwarzschild problem |
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| Authors: | RM Georgevic JD Anderson |
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| Institution: | Jet Propulsion Laboratory California Institute of Technology, Pasadena, California, USA |
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| Abstract: | The relationships between the osculating orbital elements for a family of solutions of the general relativistic Schwarzschild problems are developed. These relationships provide a method for evaluating orbital elements in different Schwarzschild coordinate systems without the necessity of fitting to real data every time the system of coordinates is changed. The objectivity of different coordinate systems is discussed. Considerations of orbital motions favor the standard Schwarzschild metric, but the propagation of light signals is more objective in the metric of Painlevé. Because the orbital motions usually dominate the representation of data, the standard Schwarzschild coordinates are the best objective choice for most applications. |
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