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Planetary Rotation
Suppose that the planet is rotating rigidly about the axis
at the angular velocity
(where
).
The planet's rotational angular velocity vector is thus
![$\displaystyle \mbox{\boldmath$\Omega$}$](img3382.png) ![$\displaystyle = {\mit\Omega}\,\cos\theta\,{\bf e}_r - {\mit\Omega}\,\sin\theta\,{\bf e}_\theta.$](img4335.png) |
(12.43) |
Let
![$\displaystyle \phi = \varphi - {\mit\Omega}\,t.$](img4336.png) |
(12.44) |
It follows that
,
,
are spherical coordinates in a frame of reference that co-rotates with the planet.
Richard Fitzpatrick
2016-01-22