P.-S. Laplace, “Précis de l’histore de l’astronomie,” In: P.-S. Laplace, Ed., Ocuvres Complétes, Tome VI, Livre V, Gautier-Villars, Paris, 1878-1912, pp. 454-486.
has been cited by the following article:
TITLE: The Influence of the Planets, Sun and Moon on the Evolution of the Earth’s Axis
AUTHORS: Joseph J. Smulsky
KEYWORDS: Angular Momentum, Differential Equations, Numerical Solution
JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.1 No.3, September 27, 2011
ABSTRACT: To study climate evolution, we consider the rotational motion of the Earth. The law of angular momentum change is analyzed, based on which the differential equations of rotational motion are derived. Problems with initial conditions are discussed and the algorithm of the numerical solution is presented. The equations are numerically integrated for the action of each planet, the Sun and the Moon on the Earth separately over 10 kyr. Results are analyzed and compared to solutions of other authors and to observation data.