Relation between rotation and lightcurve of 4179 Toutatis

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Celestial Mechanics, Stellar Dynamics, Minor Planets, Asteroids, Planets And Satellites: Individual: 4179 Toutatis

Scientific paper

This paper presents results of modelling light variations of a freely precessing asteroid, assuming its ellipsoidal shape and a geometric light scattering law. The method is based on numerical integration of Euler equations, combined with the explicit expression of an asteroid's brightness as a function of Euler angles. Modelling is applied to simulate the lightcurve of 4179 Toutatis according to its triaxial ellipsoid shape and spin state given by Hudson & Ostro (\cite{hudson}). A good agreement is obtained between the frequencies of the simulated and observed lightcurves. The results explain some apparent discrepancies between the periods obtained from photometric and radar observations.

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