The evolution of asteroid-type resonance orbits and the problem of gap existence

Physics

Scientific paper

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Asteroids, Orbital Resonances (Celestial Mechanics), Planetary Evolution, Solar Orbits, Eccentric Orbits, Equations Of Motion, Jupiter (Planet), Mars (Planet), Numerical Integration

Scientific paper

The time dependence of the orbital elements of some fictitious asteroids in the case of 1:3, 2:5, and 1:2 commensurabilities with Jovian motion are studied via numerical integration of the equations of motion of the planar three-body problem. The time interval studied amounted to 35,000 revolutions of Jupiter around the sun. The orbits of many of the fictitious asteroids from the 1:2 and 2:5 gaps acquired such eccentricities during evolution that their perihelia lie inside the Martian orbit. Asteroid encounters with Mars may be one of the reasons for the formation of these gaps.

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