I want to see the mathematical derivation of things like why orbits around the sun are elliptical in Taylor book, thanks for the recommendations!ergospherical said:Are you sure you're after mathematical rigour? Abraham and Marsden's book Foundations of Mechanics contains a ridiculously abstract and mathematically-sophisticated exposition of celestial mechanics but it won't teach you much physics, or indeed how to solve many practical problems (!).
Celestial mechanics is a branch of astronomy and physics that studies the motions and interactions of celestial bodies, such as planets, moons, stars, and galaxies.
The purpose of textbooks on celestial mechanics is to provide a comprehensive understanding of the fundamental principles and mathematical models used to describe the motion of celestial bodies in space.
Topics covered in textbooks of celestial mechanics may include Kepler's laws, Newton's laws of motion, orbital mechanics, gravitational forces, perturbation theory, and celestial coordinate systems.
Yes, some recommended textbooks for beginners include "Fundamentals of Astrodynamics" by Roger R. Bate, "Celestial Mechanics" by J. M. A. Danby, and "Introduction to Celestial Mechanics" by Richard Fitzpatrick.
The principles of celestial mechanics are used in various fields such as space exploration, satellite navigation, and astronomy. They are also important in understanding the motion of objects in our solar system and beyond.