Can gravitational compaction explain the spin-diameter relation for the asteroids?

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Asteroids, Celestial Mechanics, Gravitational Effects, Planetary Gravitation, Astronomical Models, Diameters, Spin Dynamics

Scientific paper

Dermott and Murray (1982) have found certain relations between mean spin frequency and mean diameter for asteroids. By assuming that matter gets compacted during the evolution of an asteroid, these relations may be explained by means of a spin formula for accreted bodies given by Alfvén and Arrhenius. The author presents a rough model for gravitational compaction of porous matter in asteroids, combines it with the spin formula, and fits the result to Dermott's and Murray's spin-diameter curves. The values obtained for the parameters (mass densities and material strengths) appear to be of a quite realistic order of magnitude.

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