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

@article{Zeebe2015HIGHLYSE,
title={HIGHLY STABLE EVOLUTION OF EARTH'S FUTURE ORBIT DESPITE CHAOTIC BEHAVIOR OF THE SOLAR SYSTEM},
author={R. Zeebe},
journal={The Astrophysical Journal},
year={2015},
volume={811},
pages={9}
}
• R. Zeebe
• Published 2015
• Physics
• The Astrophysical Journal
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 nearby orbits. Destabilization of the inner planets, including catastrophic encounters and/or collisions involving the Earth, has been suggested to be initiated through a large increase in Mercury's eccentricity (), with an estimated probability of ~1%. However, it has recently been shown that the… Expand

#### Figures and Tables from this paper

Numerical Solutions for the Orbital Motion of the Solar System over the Past 100 Myr: Limits and New Results
I report results from accurate numerical integrations of Solar System orbits over the past 100Myr with the integrator package HNBody. The simulations used different integrator algorithms, step sizes,Expand
Solar System chaos and the Paleocene–Eocene boundary age constrained by geology and astronomy
• Geology, Physics
• Science
• 2019
Geologic data and an astronomical solution showing exceptional agreement from ~58 to 53 Ma and a new absolute astrochronology up to 58 Ma are presented and it is shown that the Paleocene–Eocene Thermal Maximum (PETM) onset occurred near a 405-thousand-year eccentricity maximum, suggesting an orbital trigger. Expand
Galileo disposal strategy: stability, chaos and predictability
• Physics
• 2015
Recent studies have shown that the medium-Earth orbit (MEO) region of the Global Navigation Satellite Systems is permeated by a devious network of lunisolar secular resonances, which can interact toExpand
Is Earth special
Abstract Peculiar conditions may be required for the origin of life and/or the evolution of complex organisms. Hence, Earth attributes—such as plate-tectonics, oceans, magnetism and a large moon—mayExpand
Nonlinear Celestial Mechanics Orbits Revisited: An Effective Relativistic Lagrangean Approach
• Physics
• 2017
In this article we have revisited the orbital calculations for a celestial mechanical system using the relativistic Lagrangean formalism. The differential equations obtained through this procedure,Expand
Atmospheric mass-loss from high-velocity giant impacts
• Physics
• 2018
Using moving mesh hydrodynamic simulations, we determine the shock propagation and resulting ground velocities for a planet hit by a high velocity impactor. We use our results to determine theExpand
Generating large misalignments in gapped and binary discs
• Physics
• 2017
Many protostellar gapped and binary discs show misalignments between their inner and outer discs; in some cases, $\sim70$ degree misalignments have been observed. Here we show that theseExpand
Analytically calculated post-Keplerian range and range-rate perturbations: the solar Lense–Thirring effect and BepiColombo
We analytically calculate the time series for the perturbations $\Delta\rho(t),~\Delta\dot\rho(t)$ induced by a general disturbing acceleration $\boldsymbol{A}$ on the mutual range $\rho$ andExpand
Introduction: The Universality of Physical Principles in the Analysis of Health and Disease
All events in the universe involve energy potential differences. Whether it is the flow of light photons and other electromagnetic energy from the sun through the solar system, a lightning bolt, theExpand

#### References

SHOWING 1-10 OF 28 REFERENCES
Dynamic stability of the Solar System: Statistically inconclusive results from ensemble integrations
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 nearbyExpand
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 resultsExpand
A numerical experiment on the chaotic behaviour of the Solar System
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 ofExpand
Successive Refinements in Long-Term Integrations of Planetary Orbits
• Physics
• 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 Stormer multistep scheme, which isExpand
Long-term integrations and stability of planetary orbits in our Solar system
• Physics
• 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 thatExpand
Chaotic Disintegration of the Inner Solar System
• Physics, Mathematics
• 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 spontaneouslyExpand
Existence of collisional trajectories of Mercury, Mars and Venus with the Earth
• Physics, Medicine
• Nature
• 2009
Numerical simulations of the evolution of the Solar System over 5 Gyr, including contributions from the Moon and general relativity find that one per cent of the solutions lead to a large increase in Mercury’s eccentricity—an increase large enough to allow collisions with Venus or the Sun. Expand
The Stability of Multi-Planet Systems
• Physics
• 1996
A system of two small planets orbiting the Sun on low-eccentricity, low-inclination orbits is stable with respect to close encounters if the initial semi-major axis difference, Δ, measured in mutualExpand
The origin of chaos in the outer solar system
• Physics, Medicine
• Science
• 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. Expand
A Three Million Year Integration of the Earth's Orbit
• Physics
• 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 correctionsExpand