Numerical Solutions for the Orbital Motion of the Solar System over the Past 100 Myr: Limits and New Results

@article{Zeebe2017NumericalSF,
  title={Numerical Solutions for the Orbital Motion of the Solar System over the Past 100 Myr: Limits and New Results},
  author={Richard E. Zeebe},
  journal={The Astronomical Journal},
  year={2017},
  volume={154},
  pages={193}
}
  • R. Zeebe
  • Published 2017
  • Physics
  • The Astronomical Journal
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, initial conditions, and included effects from general relativity, different models of the Moon, the Sun's quadrupole moment, and up to sixteen asteroids. I also probed the potential effect of a hypothetical Planet 9, using one set of possible orbital elements. The most expensive integration… Expand
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References

SHOWING 1-10 OF 39 REFERENCES
HIGHLY STABLE EVOLUTION OF EARTH'S FUTURE ORBIT DESPITE CHAOTIC BEHAVIOR OF THE SOLAR SYSTEM
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 ofExpand
On the Dynamical Stability of the Solar System
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
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
La2010: a new orbital solution for the long-term motion of the Earth
We present here a new solution for the astronomical computation of the orbital motion of the Earth spanning from 0 to −250 Myr. The main improvement with respect to our previous numerical solutionExpand
A long-term numerical solution for the insolation quantities of the Earth
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 (LaskarExpand
Constraints on Planet Nine’s Orbit and Sky Position within a Framework of Mean-motion Resonances
A number of authors have proposed that the statistically significant orbital alignment of the most distant Kuiper Belt Objects (KBOs) is evidence of an as-yet undetected planet in the outer solarExpand
Successive Refinements in Long-Term Integrations of Planetary Orbits
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
Existence of collisional trajectories of Mercury, Mars and Venus with the Earth
TLDR
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 solar system’s invariable plane
Context. The dynamics of solar system objects, such as dwarf planets and asteroids, has become a well-established field of celestial mechanics in the past thirty years, owing to the improvements thatExpand
A Three Million Year Integration of the Earth's Orbit
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
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