# Chaotic Evolution of the Solar System

@article{Sussman1992ChaoticEO, title={Chaotic Evolution of the Solar System}, author={Gerald J. Sussman and Jack Wisdom}, journal={Science}, year={1992}, volume={257}, pages={56 - 62} }

The evolution of the entire planetary system has been numerically integrated for a time span of nearly 100 million years. This calculation confirms that the evolution of the solar system as a whole is chaotic, with a time scale of exponential divergence of about 4 million years. Additional numerical experiments indicate that the Jovian planet subsystem is chaotic, although some small variations in the model can yield quasiperiodic motion. The motion of Pluto is independently and robustly…

## 301 Citations

in the Solar System.

- Physics, Geology
- 2008

The discovery of the chaotic behavior of the planetary orbits in the Solar System (Laskar, 1989, 1990) was obtained using numerical integration of averaged equations. In (Laskar, 1994), these same…

The role of chaotic resonances in the Solar System

- Physics, GeologyNature
- 2001

The authors' understanding of the Solar System has been revolutionized over the past decade by the finding that the orbits of the planets are inherently chaotic, with adverse effects on the climates of otherwise biologically interesting planets.

Chaos in the Solar System

- Physics, Geology
- 2003

Abstract.The implications of the chaotic evolution of the Solar System are briefly reviewed, both for the orbital and rotational motion of the planets. In particular, Why Venus spins backward ? can…

Resonant Structure of the Outer Solar System in the Neighborhood of the Planets

- Physics, Geology
- 2001

The stability of the outer solar system is studied using a new numerical method for detecting the chaoticity of planetary motion. We explore a large portion of the phase space where the outer solar…

Dynamics of Multiple Planet Systems

- Geology, Physics
- 2008

This chapter discusses the dynamical properties of multiple planet systems. The orbits of these planets evolve due to tidal, resonant, and/or secular (long-term) effects. Basic analytical and…

Large scale chaos and marginal stability in the solar system

- Physics, Geology
- 1996

Large scale chaos is present everywhere in the solar system. It plays a major role in the sculpting of the asteroid belt and in the diffusion of comets from the outer region of the solar system. All…

On the Dynamical Stability of the Solar System

- Physics, Geology
- 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…

CHAOTIC DISINTEGRATION OF THE INNER SOLAR SYSTEM

- Physics, Geology
- 2014

On timescales that greatly exceed an orbital period, typical planetary orbits evolve in a stochastic yet stable fashion. On even longer timescales, however, planetary orbits can spontaneously…

Geologic constraints on the chaotic diffusion of the solar system

- Physics, Geology
- 2004

The correlation of Earth's orbital parameters with climatic variations has been used to generate astronomically calibrated geologic time scales of high accuracy. However, because of the chaotic…

HIGHLY STABLE EVOLUTION OF EARTH'S FUTURE ORBIT DESPITE CHAOTIC BEHAVIOR OF THE SOLAR SYSTEM

- Physics, Geology
- 2015

Due to the chaotic nature of the solar system, the question of its dynamic long-term stability can only be answered in a statistical sense, for instance, based on numerical ensemble integrations of…

## References

SHOWING 1-10 OF 28 REFERENCES

A numerical experiment on the chaotic behaviour of the Solar System

- Physics, GeologyNature
- 1989

LAPLACE and Lagrange made an essential contribution to the study of the stability of the Solar System by proving analytically that, to first order in the masses, inclinations and eccentricities of…

The chaotic motion of the solar system: A numerical estimate of the size of the chaotic zones

- Physics, Geology
- 1990

Rotational dynamics of irregularly shaped natural satellites

- Physics
- 1987

The rotational histories of irregularly shaped satellites are studied and are found to differ from the standard picture of tidal evolution of satellite rotations. Prior to capture into the…

A Three Million Year Integration of the Earth's Orbit

- Physics, Geology
- 1991

The equations of motion of the nine planets and the Earth's spin axis are integrated for 3.05 million years into the past. The equations include the dominant relativistic corrections and corrections…

Symplectic maps for the N-body problem.

- Physics, Geology
- 1991

The present study generalizes the mapping method of Wisdom (1982) to encompass all gravitational n-body problems with a dominant central mass. The rationale for the generalized mapping method is…

Motions of the perihelions of Neptune and Pluto

- Geology, Physics
- 1984

Five outer planets are numerically integrated over five million years in the Newtonian frame. The argument of Pluto's perihelion librates about 90 degrees with an amplitude of about 23 degrees. The…