Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Published in 1831, this work forms part of a collection of introductory volumes suggested by Henry, Lord Brougham and Vaux, the Lord Chancellor, for the Society of the Diffusion of Useful Knowledge. Due to the exceptional mathematical ability of its author, however, it outgrew its original plan and has since been seen as a rather more ambitious project. Praised by Somerville's contemporary Sir John Herschel for its presentation of general astronomical theories and the mechanical principles employed in their derivation, the work was a tour de force of scientific and technical exposition. It is especially remarkable both for its author's firm grasp of the subject, especially given her lack of formal mathematical training, and for its clear outline of Newtonian philosophy for a popular audience.

Celestial mechanics. --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Celestial mechanics.. --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Determining orbits for natural and artificial celestial bodies is an essential step in the exploration and understanding of the Solar System. However, recent progress in the quality and quantity of data from astronomical observations and spacecraft tracking has generated orbit determination problems which cannot be handled by classical algorithms. This book presents new algorithms capable of handling the millions of bodies which could be observed by next generation surveys, and which can fully exploit tracking data with state-of-the-art levels of accuracy. After a general mathematical background and summary of classical algorithms, the new algorithms are introduced using the latest mathematical tools and results, to which the authors have personally contributed. Case studies based on actual astronomical surveys and space missions are provided, with applications of these new methods. Intended for graduate students and researchers in applied mathematics, physics, astronomy and aerospace engineering, this book is also of interest to non-professional astronomers.

Orbit determination --- Celestial mechanics --- Orbit determination. --- Celestial mechanics. --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics --- Determination of orbits --- Orbits --- Determination

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

"This book provides a brief introduction to some basic but important problems in celestial mechanics, and particularly in the few-body problem, such as the permissible and forbidden region of motion, the evolution of moment of inertia of a system, and the orbital stability of asteroids in the solar system. All these are based on some main results in the authors' research works, which are related to the qualitative method of celestial mechanics and nonlinear dynamics. Some of these works are interdisciplinary, involving celestial mechanics, nonlinear dynamics and other disciplines. The book covers a variety of topics for dynamics in the solar system, including the comets, asteroids, planetary rings, Trojan asteroids, etc. As a senior scientist, Professor Sun shares his research experiences in this book. Readers may find plenty of information both about the theoretical and numerical analyses in celestial mechanics, and about the applications of theories and methods to dynamical problems in astronomy."--

Few-body problem. --- Celestial mechanics. --- Problem of few bodies --- Nuclear physics --- Quantum theory --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume contains the detailed text of the major lectures delivered during the I-CELMECH Training School 2020 held in Milan (Italy). The school aimed to present a contemporary review of recent results in the field of celestial mechanics, with special emphasis on theoretical aspects. The stability of the Solar System, the rotations of celestial bodies and orbit determination, as well as the novel scientific needs raised by the discovery of exoplanetary systems, the management of the space debris problem and the modern space mission design are some of the fundamental problems in the modern developments of celestial mechanics. This book covers different topics, such as Hamiltonian normal forms, the three-body problem, the Euler (or two-centre) problem, conservative and dissipative standard maps and spin-orbit problems, rotational dynamics of extended bodies, Arnold diffusion, orbit determination, space debris, Fast Lyapunov Indicators (FLI), transit orbits and answer to a crucial question, how did Kepler discover his celebrated laws? Thus, the book is a valuable resource for graduate students and researchers in the field of celestial mechanics and aerospace engineering.

Celestial mechanics. --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics --- Mecànica celeste --- Relativitat general (Física) --- Astrometria --- Física matemàtica --- Celestial mechanics