Celestial mechanics : classical and modern methods / Antonio Giorgilli, Ugo Locatelli, Marco Sansottera

Format:

Book

Author/Creator:

Giorgilli, Antonio, author.

Locatelli, Ugo, author.

Sansottera, Marco, author.

Series:

London Mathematical Society student texts ; 111.

London Mathematical Society student texts ; 111

Language:

English

Subjects (All):

Celestial mechanics.

Physical Description:

1 online resource

Place of Publication:

Cambridge : Cambridge University Press, 2026

Summary:

"Starting from ancient astronomy, this text follows the development of celestial mechanics culminating in applications of the most recent results concerning stability of planetary orbits: Kolmogorov's and Nekhoroshev's theorems. Key topics covered include: a historical introduction from ancient astronomy to Kepler and Newton; Lagrange's perturbation theory; the problem of three bodies, with a discussion of Levi-Civita regularization and of Sundman's theorem; methods of algebraic calculation of perturbation series, including a discussion of non-convergence due to the accumulation of small divisors; and a complete application of Kolmogorov's and Nekhoroshev's theorems. Written in an accessible, self-contained way with few prerequisites, this book can serve as an introductory text for senior undergraduate and graduate students, and for young researchers. Its approach allows students to learn about perturbation methods leading to advanced results"-- Cambridge Core

Contents:

Overture

Kinematics of the Keplerian model

The gravitation of Newton

Integrability and action-angle variables

The perturbing function

Classical perturbation methods

The problem of three bodies

Regularization of collisions

A toolbox of perturbation methods

Computer-assisted methods for KAM theory

Rotational dynamics of celestial bodies

Stability of planetary systems

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (Cambridge Core, viewed July 21, 2026)

Other Format:

Print version: Giorgilli, Antonio Celestial mechanics

ISBN:

9781009595308

100959530X

OCLC:

1587357639

Publisher Number:

CIPO000371132

Access Restriction:

Restricted for use by site license