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

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

Mar 1966

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1966sci...151.1384l&link_type=abstract

Science, Volume 151, Issue 3716, pp. 1384-1385

Physics

4

Scientific paper

The second-order nonlinear differential equation for the rotation of Mercury implies locked-in motion when the period is within the range 2T/3[1-λ \ cos2π t/T± 2/3\ (21λ e/2)1/2] 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 distortion. For values near 2T/3, the instantaneous period oscillates about 2T/3 with period (21λ e/2)-1/2T.

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