Three-Dimensional Polar Coordinates
作者:
Carl Grubin,
期刊:
American Journal of Physics
(AIP Available online 1964)
卷期:
Volume 32,
issue 5
页码: 379-383
ISSN:0002-9505
年代: 1964
DOI:10.1119/1.1970363
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
It is shown that conventional plane-polar coordinates can be extended to three dimensions. The result is that three-dimensional motion of a particle can be viewed as instantaneous planar motion plus a rotation of the plane of motion around the instantaneous radius vector from the origin to the particle. The kinematic and dynamic equations in this system are developed and applied to two examples, the spherical pendulum and a problem in orbit motion.
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