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How is it mathematically proven that gravitational orbits are elliptical?

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- Thread starter Celso
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How is it mathematically proven that gravitational orbits are elliptical?

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phyzguy

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fresh_42

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Here's the math: https://de.wikipedia.org/wiki/Keplersche_Gesetze#1._Keplersches_Gesetz_(Ellipsensatz)How is it mathematically proven that gravitational orbits are elliptical?

I haven't seen it on the English version, but as the formulas don't need to be translated, it should do.

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gneill

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However, in physics there really is only one way of testing predictions and that is to make experimental measurements. As it turns out, planetary orbits (even correcting for the gravitational influence of other celestial bodies) are