Theorem: Third Law of Planetary Motion

According to the first law, the planets \(P_1, P_2,\ldots\) have orbits being ellipses. Let \(a_1,a_2,\ldots\) denote the major axes of the respective ellipses and let \(t_1,t_2,\ldots\) denote the time intervals each planet needs to complete its orbit (orbital periods). Then the following ratios are equal to a constant \(C\), called the Keplerian constant:


Proofs: 1

Persons: 1

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  1. Ruhrländer, Michael: "Aufstieg zu den Einsteingleichungen", Pro BUSINESS GmbH, 2014