Existence of collisional trajectories of Mercury, Mars and Venus with the Earth

  title={Existence of collisional trajectories of Mercury, Mars and Venus with the Earth},
  author={Jacques Laskar and M. Gastineau},
It has been established that, owing to the proximity of a resonance with Jupiter, Mercury’s eccentricity can be pumped to values large enough to allow collision with Venus within 5 Gyr (refs 1–3). This conclusion, however, was established either with averaged equations that are not appropriate near the collisions or with non-relativistic models in which the resonance effect is greatly enhanced by a decrease of the perihelion velocity of Mercury. In these previous studies, the Earth’s orbit was… Expand
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The limits of Earth orbital calculations for geological time-scale use
  • J. Laskar
  • Physics
  • Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1999
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Although the theory of Roche 1847 for the tidal disruption limits of orbiting satellites assumes a fluid body, a length to diameter of exactly 2.07:1, and a particular body orientation, the theory isExpand
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