Analytical YORP torques model with an improved temperature distribution function

Astronomy and Astrophysics – Astronomy

Scientific paper

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Errata, Addenda, Radiation Mechanisms: Thermal, Methods: Analytical, Celestial Mechanics, Minor Planets, Asteroids

Scientific paper

Previous models of the Yarkovsky-O'Keefe-Radzievskii-Paddack (YORP) effect relied either on the zero thermal conductivity assumption, or on the solutions of the heat conduction equations assuming an infinite body size. We present the first YORP solution accounting for a finite size and non-radial direction of the surface normal vectors in the temperature distribution. The new thermal model implies the dependence of the YORP effect in rotation rate on asteroids conductivity. It is shown that the effect on small objects does not scale as the inverse square of diameter, but rather as the first power of the inverse.

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