Testing General Relativity With Unstable Orbits

Physics

Scientific paper

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Scientific paper

Unstable orbits can be used as a tool for testing the predictions of General Relativity. A particular example in the Earth-Moon orbital system will be discussed. The Relativistic Restricted Three Body equations of motion are solved numerically for a highly unstable orbit. Post newtonian corrections are included in order to compare the relativistic trajectory of a small space craft with that calculated by purely newtonian mechanics. The spacial distance between the two predictions is significant and easily measureable.

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