A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, with an Introduction to the Problem of Three Bodies

Sir Edmund Taylor Whittaker's A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, with an Introduction to the Problem of Three Bodies (1904) is a significant work in classical dynamics. It summarizes classical dynamics and introduces the complex "three-body problem".1

The three-body problem in astronomy concerns the motion of three celestial bodies under their mutual gravitational influence. A general solution is not possible due to the chaotic nature of such systems. The problem often involves calculating the perturbations on one body's motion caused by a third body, such as the Moon's motion around Earth being affected by the Sun.2

The work also delves into the dynamics of particles and rigid bodies, which are fundamental concepts in physics. This includes principles of statics, where bodies are in equilibrium, and the more complex analytical approaches like Lagrange's and Hamilton's equations for describing motion.34