Javier Roa Livres

Focusing on celestial mechanics, this book combines theoretical concepts with practical software development for astrophysics research. Through an engaging dialogue featuring fictional characters Alice, Bob, and Professor Starmover, it guides readers in understanding Newtonian gravity while also teaching them to create simulation software from scratch. This unique approach bridges the gap between theory and application, making it an invaluable resource for students aiming to explore the dynamical evolution of planets, stars, and other celestial bodies.

Regularized equations of motion can improve numerical integration for the propagation of orbits, and simplify the treatment of mission design problems. This monograph discusses standard techniques and recent research in the area. While each scheme is derived analytically, its accuracy is investigated numerically. Algebraic and topological aspects of the formulations are studied, as well as their application to practical scenarios such as spacecraft relative motion and new low-thrust trajectories.