Tatum J. Celestial Mechanics 2024

Textbook in PDF format

Celestial mechanics is the branch of astronomy that deals with the motions of celestial objects. Historically, celestial mechanics applies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to produce ephemeris data.
Numerical Methods
Conic Sections
Plane and Spherical Trigonometry
Coordinate Geometry in Three Dimensions
Gravitational Field and Potential
The Celestial Sphere
Time
Planetary Motions
The Two Body Problem in Two Dimensions
Computation of an Ephemeris
Photographic Astrometry
CCD Astrometry
Calculation of Orbital Elements
General Perturbation Theory
Special Perturbations
Equivalent Potential and the Restricted Three-Body Problem
Visual Binary Stars
Spectroscopic Binary Stars
Index