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Utah State University

All Physics Faculty Publications

2021

Spheroid

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Forces And Conservation Laws For Motion On Our Spheroidal Earth, Boyd F. Edwards, John M. Edwards Aug 2021

Forces And Conservation Laws For Motion On Our Spheroidal Earth, Boyd F. Edwards, John M. Edwards

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We explore the forces and conservation laws that govern the motion of a hockey puck that slides without friction on a smooth, rotating, self-gravitating spheroid. The earth's oblate spheroidal shape (apart from small-scale surface features) is determined by balancing the gravitational forces that hold it together against the centrifugal forces that try to tear it apart. The earth achieves this shape when the apparent gravitational force on the puck, defined as the vector sum of the gravitational and centrifugal forces, is perpendicular to the earth's surface at every point on the surface. Thus, the earth's spheroidal deformations neutralize the centrifugal …