## a b s t r a c t The shaking of Mercury's orbit by the planets forces librations in longitude in addition to those at harmonics of the orbital period that have been used to detect Mercury's molten core. We extend the analytical formulation of . Icarus 199, 1-8) in order to provide a convenient m
Resonant forcing of Mercury's libration in longitude
β Scribed by S.J. Peale; J.L. Margot; M. Yseboodt
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 453 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0019-1035
No coin nor oath required. For personal study only.
β¦ Synopsis
The period of free libration of Mercury's longitude about the position it would have had if it were rotating uniformly at 1.5 times its orbital mean motion is close to resonance with Jupiter's orbital period. The Jupiter perturbations of Mercury's orbit thereby lead to amplitudes of libration at the 11.86 year period that may exceed the amplitude of the 88 day forced libration determined by radar. Mercury's libration in longitude may be thus dominated by only two periods of 88 days and 11.86 years, where other periods from the planetary perturbations of the orbit have much smaller amplitudes.
π SIMILAR VOLUMES
As Mercury orbits the Sun, gravitational torques on its equatorial elliptical shape give rise to a planetary libration. The amplitude of Mercury's libration, as determined from Earth-based radar speckle pattern observations, suggests that only the mantle participates in the motion. This indicates a