A proof that tidal heating in a synchronous rotation is always larger than in an asymptotic nonsynchronous rotation state
arXiv:0710.5651 · doi:10.1016/j.icarus.2007.10.003
Abstract
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.
arXiv comment10 pages, 0 figure. accepted for publication in "Icarus"
References in corpus (1)
Cited by in corpus (7)
- Is tidal heating sufficient to explain bloated exoplanets? Consistent calculations accounting for finite initial eccentricity
- Tidal friction in close-in satellites and exoplanets. The Darwin theory re-visited
- The physical properties of extrasolar planets
- Spatial patterns of tidal heating
- Equilibrium rotation of semiliquid exoplanets and satellites
- Spin-orbital tidal dynamics and tidal heating in the TRAPPIST-1 multi-planet system
- Tidal synchronization of close-in satellites and exoplanets. II. Spin dynamics and extension to Mercury and exoplanets host stars