The upper boundary of mass for an imaginary planet in the main asteroid belt

Details The upper boundary of mass for an imaginary planet in the main asteroid belt The upper boundary of mass for an imaginary planet in the main asteroid belt

Oct 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006acasn..47..394l&link_type=abstract

Acta Astronomica Sinica, vol. 47, no. 4, p. 394-401

Mathematics

Probability

Celestial Mechanics: Numerical Method, N-Body Simulation, Planetary Systems: Solar System

Scientific paper

The stability of an imaginary planet located in the present main asteroid belt is studied, with a 7-body model (the Sun, Mars, Jupiter, Saturn, Uranus, Neptune and an imaginary planet). The fourth order Hermite scheme P(EC)3 is used, which has very little secular energy error for the integration of periodic orbits with constant time-step. The evolution of orbits is followed up to 108 years. Numerical results show that, the lower order resonances with Jupiter can enhance the stability of the imaginary planet in some cases. The survival probability of the imaginary planet decreases with the planet mass. The upper boundary of the imaginary planet's mass that can be survived in the main belt is around 1025kg, near Earth's mass.

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