行星潮汐伪同步解的振荡

F. Zoppetti, H. Folonier, A. Leiva, C. Beaugé
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引用次数: 0

摘要

低偏心环双行星的潮汐演化有望推动其旋转演化向伪同步方向发展。在这项工作中,我们通过考虑两颗中心恒星对行星施加蠕变潮汐,提出了围绕这一状态的振荡幅度的研究。这些振幅是通过对蠕变方程的直接数值积分,也可以通过计算平稳解中周期项的系数来计算的。正如在两体问题中一样,行星自旋和滞后角在刚体中具有最大的振荡幅度,而在气态状态下几乎为零振荡,而在赤道和极地扁平状态下则观察到相反的行为。我们的解析近似表明是非常准确的,特别是对于非常低的偏心行星是必要的。然而,在环二值问题中,围绕伪同步解的振荡幅值相对于平均值显得非常小。因此,在计算潮汐能量耗散时考虑这些振荡可能对结果没有实质性的贡献,至少与只考虑平均值的情况相比是如此。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Oscillations around tidal pseudo-synchronous solutions for circumbinary planets
Abstract Tidal evolution of low-eccentric circumbinary planets is expected to drive the rotational evolution toward a pseudo-synchronous solution. In this work, we present a study of the oscillation amplitudes around this state by considering that the two central stars exert creep tides on the planet. These amplitudes are computed by direct numerical integrations of the creep equations and also by means of the calculation of the coefficients of the periodic terms in this stationary solution. As in the two-body-problem, the planetary spin and lag-angle are observed to have maximum oscillation amplitudes for stiff bodies and almost null oscillation for the gaseous regime, while the opposite behaviour is observed in the equatorial and polar flattenings. Our analytical approximation shows to be very accurate and specially necessary for very-low eccentric planets. However, the magnitudes of the oscillation amplitudes around the pseudo-synchronous solution in the circumbinary problem appears to be very small respect to the mean value. Thus, considering these oscillation in the computation of the tidal energy dissipation may not have a substantial contribution in the results, at least compared to the case in which only the mean values are taken into account.
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