THE VECTOR FIELDS ACROSS THE TANGENT
BUNDLE TO A SPINNING 2-SPHERE

Abstract

Assuming a spinning 2-sphere in the Euclidean 3-space that is observed by a frame at any exterior point, we deduce the Coriolis effect, which asserts that the rotational directions of the flows on the Earth surface are opposite across the Equator. By the continuity of the angular momentum, we project the vector of angular momentum onto all tangent planes to the sphere. We arrive at elliptical orbits and the spiral motions toward the plug point of any domestic sink.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 31
Issue: 5
Year: 2018

DOI: 10.12732/ijam.v31i5.4

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