Rotation of Mercury: Theoretical Analysis of the Dynamics of a Rigid Ellipsoidal Planet

@article{Laslett1966RotationOM,
  title={Rotation of Mercury: Theoretical Analysis of the Dynamics of a Rigid Ellipsoidal Planet},
  author={Lawrence J. Laslett and Andrew M. Sessler},
  journal={Science},
  year={1966},
  volume={151},
  pages={1384 - 1385}
}
The second-order nonlinear differential equation for the rotation of Mercury implies locked-in motion when the period is within the range where e is the eccentricity and T is the period of Mercury's orbit, the time t is measured from perihelion, and λ is a measure of the planet's disiortion. For values near 2T/3, the instantaneous period oscillates about 2T/3 with period (21λe/2)T. 
10 Citations

Topics from this paper

Mercury's rotation axis and period
Abstract Recent measurements made from high-resolution Mariner 10 photography of the planet Mercury yield a rotation period of 58.6461 ± 0.005 days, in excellent agreement with the period requiredExpand
Rotational locks for near-symmetric satellites
The results of Chernous'ko are extended numerically in order to investigate the character of locked-in rotational motion for orbits of arbitrary eccentricity. It is found that for certain ranges ofExpand
Thermal and tidal effect on the rotation of Mercury
It is shown that the influences of the thermal and tidal effects on Mercury's libration are in equilibrium with the periods of rotation and revolution of Mercury locked in the 3∶2 resonant state. TheExpand
Passage Through Resonance
The effect of both gravitational and tidal torques on the spin rate of the planet Mercury is used as a model for a passage through resonance problem. Both the resonance and nonresonance aspects ofExpand
Mercury Has Two Permanent Thermal Bulges
  • H. Liu
  • Physics, Medicine
  • Science
  • 1968
If Mercury has been rotating with, a period exactly two-thirds of the period of orbital revolution for at least 60,000 years, there exist two permanent thermal bulges on opposite sides of Mercury'sExpand
Frequency variations of the Earth's obliquity and the 100-kyr ice-age cycles
VARIATIONS in the Earth's orbital parameters modulate the seasonal distribution of solar radiation and thereby induce changes in the Earth's climate1. Periodicities in the geological climate recordExpand
Insolation changes caused by combination of amplitude and frequency modulation of the obliquity
A forcing function is derived from the insolation signal with a bipolar pulse modulation train that is a function of Earth's obliquity. From this obliquity-forced insolation, there is a calculatedExpand
A new view on the driving mechanism of Milankovitch glaciation cycles
Abstract Dynamical instabilities in the glaciation and deglaciation of the ice sheets can be triggered by pulsations of the rate of change of the orbital and rotational parameters. The purpose ofExpand
Planetary radar astronomy
Measurements of the time delays and Doppler shifts of radar waves have been used to determine the orbits, radii, and rotation vectors of the inner planets and to improve by almost five orders ofExpand
Sur les solutions périodiques du mouvement plan de libration des satellites et des planètes
RésuméCe papier présente une étude analytique du mouvement plan de rotation des satellites (et des planètes) dans leurs mouvements orbitaux. Les trois familles des solution périodiques sont obtenuesExpand

References

SHOWING 1-8 OF 8 REFERENCES
Theory of Rotation for the Planet Mercury
The theory of the rotation of the planet Mercury is developed in terms of the motion of a rigid system in an inverse-square field. It is possible for Mercury to rotate with a period exactlyExpand
Rotational Period of the Planet Mercury
IN a recent communication by S. J. Peale and T. Gold1 the rotational period of Mercury, determined from radar Doppler-spread measurements to be 59 ± 5 days2, has been explained in terms of a solarExpand
Rotation of the Planet Mercury
SOLAR tidal friction must be an intense effect for Mercury, and it must be expected that the planet's spin would have relaxed from any original value to one that is under the control of this effectExpand
Rotation Period of the Planet Mercury
THE recent radar measurements of Mercury indicate that the period of rotation of the planet is 59 ± 5 days1. This result is in complete disagreement with the previously quoted value of 88 days basedExpand
Tidal De-spin of Planets and Satellites
RECENTLY, Peale and Gold1 have shown that the non-synchronous rotation of Mercury is likely to be a consequence of tidal friction. They point out that in an eccentric orbit the spin of an axiallyExpand
~~}
  • ~~}
  • 1965
This ignores the (small) effect of the non