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Some Effects of Elasticity on Lunar Rotation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Peale, Stanton J. |
| Copyright Year | 2008 |
| Abstract | A general Hamiltonian for a rotating moon in the field of the earth is expanded in terms of parameters orienting the spin angular momentum relative to the principal axes of the moon and relative to coordinate axes fixed in the orbit plane. The effects of elastic distortion are included as modifications of the moment of inertia tensor, where the magnitude of the distortion is parameterized by the Love number k~. The principal periodic terms in the longitude of a point on the moon due to variations of the tide -3 -2 caused by the earth are shown to have amplitudes between 3'.'9xlO and I'.'SxlO -4 -3 with a period of an anomalistic month, 3','OxlO and 172x10 with a period of one-half an anomalistic month and 2'.'4xlO~ and 9V6xlO~ with a period of one-half of a nodical month. The extremes in the amplitudes correspond to rigidities of 8x10 cgs and 2x10 cgs respectively, the former rigidity being comparable to that of the earth. Only the largest amplitude given above is comparable to that detectable by the projected precision of the laser ranging to the lunar retroreflectors, and this amplitude corresponds to an improbably low rigidity for the moon. A detailed derivation of the free wobble of the lunar spin axis about the axis of maximum moment of inertia is given, where it is shown that elasticity can alter the period of the free * Currently on leave from the Dept. of Physics, University of California, Santa, Barbara, California. https://ntrs.nasa.gov/search.jsp?R=19730016117 2017-09-12T18:36:03+00:00Z |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19730016117.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | AngularJS Axis vertebra Distortion Elastic matching Elasticity (data store) Hamiltonian (quantum mechanics) Largest Moon Muscle Rigidity Optic axis of a crystal Projections and Predictions |
| Content Type | Text |
| Resource Type | Article |
