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Periodic and quasi-periodic attractors for the spin-orbit evolution of Mercury with a realistic tidal torque

Bartuccelli, Michele, Deane, Jonathan and Gentile, G (2017) Periodic and quasi-periodic attractors for the spin-orbit evolution of Mercury with a realistic tidal torque Monthly Notices of the Royal Astronomical Society, 469 (1). pp. 127-150.

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Abstract

In this paper, we make a detailed study of the spin-orbit dynamics of Mercury, as predicted by the realistic model which has been recently introduced in a series of papers mainly by Efroimsky and Makarov. We present numerical and analytical results concerning the nature of the librations of Mercury’s spin in the 3:2 resonance. The results provide evidence that the librations are quasi-periodic in time, consisting of a slow oscillation, with an amplitude of order of arcminutes, superimposed on the 88-day libration. This contrasts with recent astronomical observations and hence suggests that the 3:2 resonance in which Mercury has been trapped might have been originally described by a large-amplitude quasi-periodic libration which, only at a later stage, with the formation of a molten core, evolved into the small-amplitude libration which is observed nowadays.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Bartuccelli, MicheleM.Bartuccelli@surrey.ac.ukUNSPECIFIED
Deane, JonathanJ.Deane@surrey.ac.ukUNSPECIFIED
Gentile, GUNSPECIFIEDUNSPECIFIED
Date : 1 April 2017
Identification Number : https://doi.org/10.1093/mnras/stx809
Copyright Disclaimer : This is a pre-copyedited, author-produced PDF of an article accepted for publication in Monthly Notices of the Royal Astronomical Society following peer review. The version of record: Michele Bartuccelli, Jonathan Deane, Guido Gentile; Periodic and quasi-periodic attractors for the spin–orbit evolution of Mercury with a realistic tidal torque. Mon Not R Astron Soc 2017; 469 (1): 127-150. doi: 10.1093/mnras/stx809 is available online at: https://academic.oup.com/mnras/article-abstract/469/1/127/3098187
Uncontrolled Keywords : celestial mechanics – planets and satellites: individual: Mercury – planets and satellites: dynamical evolution and stability – planets and satellites: terrestrial planets
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 31 Mar 2017 14:44
Last Modified : 04 Jul 2017 16:38
URI: http://epubs.surrey.ac.uk/id/eprint/813906

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