Relativity and Cosmology

    

Free Fall on the Spinning Planet

Authors: Zbigniew Osiak

The external Schwarzschild metric was extended to the case of a spinning planet, limited to distances from the center correspondingly larger than the planet's radius. Three-dimensional equations of free particle motion are presented. The acceleration of a free falling particle onto a spinning planet in the case of a weakly curved spacetime for low speeds in vector form was recorded, enabling the physical interpretation of individual terms. The resultant torque acting on the test particle causing the precession of its orbital angular momentum was determined. As an example, the expression for the first cosmic velocity in the case of a circular orbit in the equatorial plane was given.

Comments: 14 Pages.

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Submission history

[v1] 2020-08-03 05:17:17

Unique-IP document downloads: 166 times

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