Classical Physics

    

Free Fall Through the Earth

Authors: Bengt Månsson

Free fall through the Earth, considered as a sphere of radially symmetric mass density, along the axis of rotation, is calculated using a general differential equation in newtonian gravity theory. The passage time is calculated and, further, the shape of the tunnel required if the fall is started at an arbitrary point other than a pole, so that the rotation of the Earth comes into play, is determined. Also a general relativistic case with constant density along the axis is considered. -- In this general form the article may also be of some pedagogical value.

Comments: 18 Pages.

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Submission history

[v1] 2016-08-04 16:38:39

Unique-IP document downloads: 263 times

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