Secular resonances and the origin of eccentricities of Mars and the asteroids

Details Secular resonances and the origin of eccentricities of Mars and the asteroids Secular resonances and the origin of eccentricities of Mars and the asteroids

Jan 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980icar...41...76h&link_type=abstract

Icarus, vol. 41, Jan. 1980, p. 76-88.

Astronomy and Astrophysics

Astronomy

37

Asteroids, Eccentric Orbits, Mars (Planet), Orbit Perturbation, Resonance, Secular Variations, Solar Orbits, Astronomical Models, Perturbation Theory, Solar System, Mars, Asteroids, Eccentricity, Origin, Resonance, Nebulas, Orbits, Observations, Amplitude, Dissipation, Mathematical Models, Density, Distribution, Solar System, Inclination, Comparisons, Planets, Perturbations, Jupiter, Saturn

Scientific paper

The paper examines the origin of the eccentricities of the asteroids and of Mars secular resonances associated with the dissipation of a primitive solar nebula. The nebula is modeled as a two-dimensional disk, and a closed form, convergent integral is derived to represent its disturbing function. Dissipation of this nebula gives rise to excitation waves which can excite the eccentricity of Mars, and scatter asteroidal eccentricities through the observed ranges. By requiring that these ranges match the observed values as functions of semimajor axis, it is shown that (1) the primordial eccentricities of Jupiter and Saturn initially had amplitudes different from the present day values, (2) the nebular dissipation time scale may have been of the order of (few) times 10,000 years as the dissipation neared completion, and (3) it is reasonable to propose a common origin for the eccentricities of Mars and the asteroids.

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