Meteorites may follow a chaotic route to earth

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Chaos, Earth Movements, Eccentric Orbits, Meteorites, Trajectory Analysis, Aphelions, Asteroid Belts, Chondrites, Diurnal Variations, Jupiter (Planet), Monte Carlo Method, Perihelions, Meteorites, Orbits, Trajectories, Origin, Source, Celestial Mechanics, Asteroid Belts, Dynamics, Ordinary Chondrites, Parameters, Calculations, Eccentricity, Earth-Crossers, Mathematical Models, Monte Carlo Methods, Shock Effects, Cosmic Rays, Exposure Age, Position (Location)

Scientific paper

A numerical integration was employed to show that the 3/1 Kirkwood gap region between Jupiter and the sun can serve as the source for asteroidal debris that strikes the earth as chondrites. A previous study by Wetherill (1968) considered planetary close encounters, secular resonances, collisional destruction in space and subsequent atmospheric abrasion of the chondrites. The factors would have resulted in chaotic trajectories for asteroids in the asteroid belt, i.e., eccentricities large enough to make the objects earth-crossing. A sampling of trajectories which could reach large eccentricities is integrated in terms of deterministic solutions of Hamiltonian systems of equations which behave erratically and are dependent on the initial conditions. The examinations successfully predicted a trajectory with a peak eccentricity of 0.652, a time interval of 340,000 yr, and a semimajor axis between 2.4-2.53 AU that was earth-crossing.

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