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Mercury's Perihelion Precession

The precession in the orbit of the planet Mercury (about 43 seconds of arc per century) was correctly explained by Einstein's theory of gravity. This Demonstration exaggerates the effect by making the mass of the Sun around times greater; also, you can change an orbital parameter.

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DETAILS

The model is as follows: is the perturbation parameter, and
,
where is the universal constant of gravitation, is the speed of light, and is the mass of the Sun. Here , where is the angular momentum per unit mass .
The perturbed solution invoking the substitution is
,
where is the eccentricity of the orbit;
.
The relativistic analogue of the orbit trajectory in the two-body problem is
.
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