A proof that tidal heating in a synchronous rotation is always larger than in an asymptotic nonsynchronous rotation state
In a recent paper, Wisdom (2007, Icarus, in press) derived concise expressions for the rate of tidal dissipation in a synchronously rotating body for arbitrary orbital eccentricity and obliquity. He provided numerical evidence than the derived rate is always larger than in an asymptotic nonsynchrono...
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| description | In a recent paper, Wisdom (2007, Icarus, in press) derived concise expressions for the rate of tidal dissipation in a synchronously rotating body for arbitrary orbital eccentricity and obliquity. He provided numerical evidence than the derived rate is always larger than in an asymptotic nonsynchronous rotation state at any obliquity and eccentricity. Here, I present a simple mathematical proof of this conclusion and show that this result still holds for any spin-orbit resonance. |
| doi_str_mv | 10.48550/arxiv.0710.5651 |
| format | Article |
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He provided numerical evidence than the derived rate is always larger than in an asymptotic nonsynchronous rotation state at any obliquity and eccentricity. 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| subjects | Asymptotic properties Eccentric orbits Orbital resonances (celestial mechanics) Physics - Astrophysics of Galaxies Physics - Cosmology and Nongalactic Astrophysics Physics - Earth and Planetary Astrophysics Physics - High Energy Astrophysical Phenomena Physics - Instrumentation and Methods for Astrophysics Physics - Solar and Stellar Astrophysics Rotating bodies Rotation Tidal effects |
| title | A proof that tidal heating in a synchronous rotation is always larger than in an asymptotic nonsynchronous rotation state |
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