# Solar system dynamics

@inproceedings{Murray1999SolarSD, title={Solar system dynamics}, author={Carl D. Murray and Stanley F. Dermott}, year={1999} }

The Solar System is a complex and fascinating dynamical system. This is the first textbook to describe comprehensively the dynamical features of the Solar System and to provide students with all the mathematical tools and physical models they need to understand how it works. It is a benchmark publication in the field of planetary dynamics and destined to become a classic. Clearly written and well illustrated, Solar System Dynamics shows how a basic knowledge of the two- and three-body problems… Expand

#### 2,234 Citations

Solar System dynamics, beyond the two‐body‐problem approach

- Physics
- 2006

When one thinks of the solar system, he has usually in mind the picture based on the solution of the two-body problem approximation presented by Newton, namely the ordered clockwork motion of planets… Expand

Dynamics of the Solar System

- Physics
- 2001

The basic properties of the two- and three-body problems are reviewed together with applications to observed phenomena in the solar system. A study of the properties of the planetary disturbing… Expand

On the Dynamical Stability of the Solar System

- Physics
- 2008

A long-term numerical integration of the classical Newtonian approximation to the planetary orbital motions of the full solar system (Sun + eight planets), spanning 20 Gyr, was performed. The results… Expand

Global dynamics of planetary systems with the MEGNO criterion

- Physics
- 2001

In this paper we apply a new technique alternative to the numerically computed Lyapunov Characteristic Number (LCN) for studying the dynamical behaviour of planetary systems in the framework of the… Expand

Dynamics of small bodies in the solar system

- Physics
- 2010

Abstract
In this chapter we review key results on the dynamics of small solar-system bodies, such as asteroids and comets. We begin by presenting the main populations of small bodies in the solar… Expand

Dynamical Evolution of Multi-Resonant Systems: the Case of GJ876

- Physics, Mathematics
- 2015

The GJ876 system was among the earliest multi-planetary detections outside of the Solar System, and has long been known to harbor a resonant pair of giant planets. Subsequent characterization of the… Expand

Chapter 3 – Solar System Dynamics: Regular and Chaotic Motion

- Physics
- 2014

A body in the solar system exhibits chaotic behavior in its orbit or rotation if the motion is sensitively dependent on the starting conditions, such that small changes in its initial state produce… Expand

Understanding the solar system with numerical simulations and Levy flights

- Physics
- 2009

This thesis presents several investigations into the formation of planetary systems and the dynamical evolution of the small bodies left over from this process. We develop a numerical integration… Expand

Secular dynamics of the three-body problem: application to the υ Andromedae planetary system

- Physics
- 2004

Abstract The discovery of extra-solar planetary systems with multiple planets in highly eccentric orbits (∼0.1–0.6), in contrast with our own Solar System, makes classical secular perturbation… Expand

Comprehensive Research on the Origin of the Solar System Structure by Quantum-like Model

- Physics
- 2011

A quantum-like model of gravitational system is introduced to explore the formation of the solar system structure. In this model, the chaos behavior of a large number of original nebular particles in… Expand