## 102 Citations

### 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…

### DYNAMIC STABILITY OF THE SOLAR SYSTEM: STATISTICALLY INCONCLUSIVE RESULTS FROM ENSEMBLE INTEGRATIONS

- Physics, Geology
- 2014

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

### DYNAMICAL EVOLUTION OF MULTI-RESONANT SYSTEMS: THE CASE OF GJ 876

- Physics, Geology
- 2015

The GJ 876 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…

### 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…

### Is the Solar System Stable

- Physics, Geology
- 2013

Since the formulation of the problem by Newton, and during three centuries, astronomers and mathematicians have sought to demonstrate the stability of the Solar System. As mentioned by Poincare,…

### A survey of near-mean-motion resonances between Venus and Earth

- Physics, Geology
- 2009

It is known since the seminal study of Laskar (1989) that the inner planetary system is chaotic with respect to its orbits and even escapes are not impossible, although in time scales of billions of…

### Addressing the statistical mechanics of planet orbits in the solar system

- Physics, Geology
- 2017

The chaotic nature of planet dynamics in the solar system suggests the relevance of a statistical approach to planetary orbits. In such a statistical description, the time-dependent position and…

### Prevalence of chaos in planetary systems formed through embryo accretion

- Physics, Geology
- 2017

### Long-term influence of asteroids on planet longitudes and chaotic dynamics of the solar system

- Physics, Geology
- 2017

The aim of this paper is to compare different sources of stochasticity in the solar system. More precisely we study the importance of the long term influence of asteroids on the chaotic dynamics of…

### THEORY OF SECULAR CHAOS AND MERCURY'S ORBIT

- Physics, Geology
- 2011

We study the chaotic orbital evolution of planetary systems, focusing on secular (i.e., orbit-averaged) interactions, which dominate on long timescales. We first focus on the evolution of a test…

## References

SHOWING 1-10 OF 30 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

### The origin of chaos in the outer solar system

- Physics, GeologyScience
- 1999

The theory shows that the chaos among the jovian planets results from the overlap of the components of a mean motion resonance among Jupiter, Saturn, and Uranus, and provides rough estimates of the Lyapunov time and the dynamical lifetime of Uranus.

### Long term evolution and chaotic diffusion of the insolation quantities of Mars

- Physics, Geology
- 2004

### Successive Refinements in Long-Term Integrations of Planetary Orbits

- Physics, Geology
- 2003

We report on accurate, long-term numerical simulations of the orbits of the major planets in our solar system. The equations of motion are directly integrated by a Störmer multistep scheme, which is…

### Long-term integrations and stability of planetary orbits in our Solar system

- Physics, Geology
- 2002

We present the results of very long-term numerical integrations of planetary orbital motions over 10 9 -yr time-spans including all nine planets. A quick inspection of our numerical data shows that…

### The limits of Earth orbital calculations for geological time-scale use

- Geology, PhysicsPhilosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 1999

The orbital motion of the planets in the Solar System is chaotic. As a result, initially close orbits diverge exponentially with a characteristic Lyapunov time of 5 Ma. This sensitivity to initial…

### A long-term numerical solution for the insolation quantities of the Earth

- Physics, Environmental Science
- 2004

We present here a new solution for the astronomical computation of the insolation quantities on Earth spanning from -250 Myr to 250 Myr. This solution has been improved with respect to La93 (Laskar…