Berlin 2015 – wissenschaftliches Programm
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GR: Fachverband Gravitation und Relativitätstheorie
GR 13: Alternative Aspects and Approaches
GR 13.3: Vortrag
Mittwoch, 18. März 2015, 17:10–17:30, H 2033
A rotating gravitational ellipse — •Stefan Boersen — S.J.Boersen,The Hague, The Netherlands
A gravitational ellipse is the mathematical result of Newton’s law of gravitation. The equation describing such an ellipse, is obtained by differentiating space-by-time twice. Le Verrier stated that rotating gravitational ellipses are observed in the solar system. One could be asked, to adjust the existing gravitational equation in such a way, that a rotating gravitational ellipse is obtained. The additional rotation is an extra variable, so the equation will be a three times space-by-time differentiated equation. To make this three times space-by-time differentiated equation we need to differentiate space-by-time for the third time. Differentiating space-by-time twice gives the following result:
| (X)2 + (Y)2 = (R − R ȧ2 )2 + (Ra + 2 Ṙ ȧ )2 (1) |
A third time differentiation of space-by-time gives the result:
| ( X )2 + (Y)2 = (R − 3Ṙ ȧ2 − 3 R ȧ a )2 + (Ra + 3 Ṙ a + 3 R ȧ − Rȧ3 )2 (2) |
I assume that the reader accepts the mathematical differential equation, which defines a rotating gravitational motion as observed. But we now have two equations defining rotating gravitational ellipses as observed in nature. The EIH equations and the above equations, which obey the Euclidean space premises.