The Construction of Semi-Analytic J-S Planetary Theory

"The Construction of Semi-Analytic J-S Planetary Theory" is a specialized book that deals with the variation of the orbital elements of the planets in the solar system, using perturbation theory. It provides a comprehensive and authoritative presentation of the semi-analytical Hamiltonian J-S planetary theory, developed in relation to the Poincaré canonical variables. The authors, Badaoui El Mabsout, Osman M. Kamel, and Adel S. Soliman, explain the powerful methods of Hamiltonian mechanics and their application to the dynamics of n planets. The book is aimed at students and researchers in dynamical astronomy and applied mathematics, offering valuable insights into the mathematical methods that can be used to achieve precise algebraic and numerical results. Additionally, it includes programs for calculating the perturbation function up to the sixth order in eccentricity and inclination, optimized for use on a personal computer.