Authors: Wolfram Neutsch and Klaus Scherer
Pages: 770

In this monograph for students and lecturers of Mathematics, Physics, Astronomy and the neighbouring sciences, the theoretical foundations of celestial mechanics are treated. Several central topics are discussed in detail, among them Kepler theory, Newtonian mechanics, determination of orbits, differential geometry, Lagrangian and Hamiltonian dynamics, Lunar theory and general relativity. Some results are presented for the first time within a textbook, e.g. analytical solutions of Kepler's equation, modern approaches to orbit determination, algebraic regularisation and spin-orbit coupling.