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Orientation and Rotational Parameters of Asteroid 4179 Toutatis: New Insights from Change-2s Close Flyby

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 نشر من قبل Jianghui Ji
 تاريخ النشر 2015
  مجال البحث فيزياء
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In this work, we investigate the rotational dynamics of the ginger-shaped near-Earth asteroid 4179 Toutatis, which was closely observed by Change-2 at a distance of $770pm120~$ meters from the asteroids surface during the outbound flyby citep{Huang2013} on 13 December 2012. A sequence of high-resolution images was acquired during the flyby mission. In combination with ground-based radar observations collected over the last two decades, we analyze these flyby images and determine the orientation of the asteroid at the flyby epoch. The 3-1-3 Euler angles of the conversion matrix from the J2000 ecliptic coordinate system to the body-fixed frame are evaluated to be $-20.1^circpm1^circ$, $27.6^circpm1^circ$ and $42.2^circpm1^circ$, respectively. The least-squares method is utilized to determine the rotational parameters and spin state of Toutatis. The characteristics of the spin-state parameters and angular momentum variations are extensively studied using numerical simulations, which confirm those reported by citet{Takahashi2013}. The large amplitude of Toutatis precession is assumed to be responsible for its tumbling attitude as observed from Earth. Toutatis angular momentum orientation is determined to be described by $lambda_{H}=180.2^{+0.2^circ}_{-0.3^circ}$ and $beta_{H}=-54.75^{+0.15^circ}_{-0.10^circ}$, implying that it has remained nearly unchanged for two decades. Furthermore, using Fourier analysis to explore the change in the orientation of Toutatis axes, we reveal that the two rotational periods are 5.38 and 7.40 days, respectively, consistent with the results of the former investigation. Hence, our investigation provides a clear understanding of the state of the rotational dynamics of Toutatis.



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This paper presents analysis of the rotational parameters of Toutatis based on the observational results from Change-2s close flyby. The 3-D shape model derived from ground-based radar observation is used to calculate the 3-1-3 Euler angles at the fl yby epoch, which are evaluated to be $-20.1^circpm1^circ$, $27.6^circpm1^circ$ and $42.2^circpm1^circ$. The large amplitude of Toutatis tumbling attitude is demonstrated to be the result of the large deviation of the angular momentum axis and the rotational axis. Two rotational periods are evaluated to be $5.38pm0.03$ days for rotation about the long axis and $7.40pm0.03$ days for precession of the long axis about the angular momentum vector based on Fourier analysis. These results provide a further understanding of rotational state of Toutatis.
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