# Theory of Rotation for the Planet Mercury

@article{Liu1965TheoryOR, title={Theory of Rotation for the Planet Mercury}, author={Han-Shou Liu and J. A. O'keefe}, journal={Science}, year={1965}, volume={150}, pages={1717 - 1717} }

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 exactly two-thirds of the period of revolution; there is a libration with a period of 25 years.

#### Topics from this paper

#### 29 Citations

Rotation of the Planet Mercury

- Physics, Medicine
- Science
- 1966

The equations of motion for the rotation of Mercury are solved for the general case by an asymptotic expansion and it is confirmed that it is possible for Mercury's rotation to be locked into a 2:3 resonance with its revolution. Expand

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

- Physics, Medicine
- Science
- 1966

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… Expand

Strength of synchronous rotation of the Moon

- Physics
- 1967

An expression for the strength of the synchronous rotation of the moon in terms of upper and lower limits on the rotational period is derived. The rotational periods for locked-in motion are expected… Expand

The libration of Mercury

- Physics
- 1966

In a recent report [Liu and O'Keefe, 1965], we presented the analysis of the resonance-locked rotation of the planet Mercury under the influence of the planetary potential and the orbital… Expand

On the figure of the planet Mercury

- Physics
- 1969

The figure of Mercury is estimated in terms of an isostatic form of equilibrium which tends to be controlled by the situation near perihelion passage at the 3∶2 resonance spin rate. The ratios of the… Expand

The planet Mercury (1971)

- Physics
- 2019

The physical properties of the planet Mercury, its surface, and atmosphere are presented for space vehicle design criteria. The mass, dimensions, mean density, and orbital and rotational motions are… Expand

Rotation and Heating of the Planet Mercury

- Physics
- Nature
- 1967

RECENT radar observations1 and subsequent discussions2,3 indicate that the rotational period of Mercury may be coupled4 to its orbital period in the ratio 2 : 3. Here we examine the insolation and… Expand

Passage Through Resonance

- Physics
- 1970

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 of… Expand

Thermal and tidal effect on the rotation of Mercury

- Physics
- 1970

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. The… Expand

A note on the instantaneous rotational velocity of Mercury

- Physics
- 1970

The fluctuation in the angular velocity of the present rotation of Mercury is investigated. The instantaneous rotational rate in terms of orbital mean motion at different positions along Mercury's… Expand

#### References

SHOWING 1-5 OF 5 REFERENCES

Rotation of the Planet Mercury

- Physics
- Nature
- 1965

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 effect… Expand

Rotation Period of the Planet Mercury

- Geology
- Nature
- 1965

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 based… Expand

Rotational Period of the Planet Mercury

- Physics
- Nature
- 1965

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 solar… Expand

Tidal De-spin of Planets and Satellites

- Physics
- Nature
- 1965

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 axially… Expand

Lancaster for assistance. The numerical analysis was performed by