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arXiv 1901.07640astro-ph.EP
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耗散条件下共轨共振的稳定性:在原行星盘演化中的应用

Stability of the co-orbital resonance under dissipation: Application to its evolution in protoplanetary discs

Adrien Leleu, Gavin Coleman, Sareh Ataiee

摘要:

尽管太阳系中存在共轨天体,并且行星系形成模型预测了共轨行星的形成,但迄今为止还没有发现共轨系外行星(也称为特洛伊)。在这篇论文中,我们将研究一对共轨的系外行星在原行星盘中的迁移过程中是如何发生的。为此,我们计算了拉格朗日平衡L4和L5下的一般耗散和缓慢的质量演化的稳定性标准。根据这些扰动的强度和形状,系统可以朝着拉格朗日平衡发展,或者倾向于增加其振动幅度,可能一直到马蹄形轨道,甚至退出共振。我们估计我们的标准使用一组流体动力学模拟的各种条款,并表明,光盘扰动和两个行星之间的动力学耦合的稳定性有显着的影响:结构诱导的每个行星在光盘扰动的耗散力施加在其他行星在每个天平动周期。在我们关于共轨道稳定性的结果中,有几个对限制这种配置的可观测性很感兴趣:长距离向内迁移和较小的领先行星倾向于增加拉格朗日平衡附近的天平动振幅,而领先的大质量行星和属于共振链倾向于稳定它。我们还表明,取决于耗散力的强度,在共轨道对向内迁移的过程中,两个共轨道中较小的一个的倾角和偏心率都可以显著增加,这可以对通过这种构型的过境的可探测性产生显著影响。

英文摘要:

Despite the existence of co-orbital bodies in the solar system, and the prediction of the formation of co-orbital planets by planetary system formation models, no co-orbital exoplanets (also called trojans) have been detected thus far. In this paper we investigate how a pair of co-orbital exoplanets would fare during their migration in a protoplanetary disc. To this end, we computed a stability criterion of the Lagrangian equilibria L4 and L5 under generic dissipation and slow mass evolution. Depending on the strength and shape of these perturbations, the system can either evolve towards the Lagrangian equilibrium, or tend to increase its amplitude of libration, possibly all the way to horseshoe orbits or even exiting the resonance. We estimated the various terms of our criterion using a set of hydrodynamical simulations, and show that the dynamical coupling between the disc perturbations and both planets have a significant impact on the stability: the structures induced by each planet in the disc perturb the dissipative forces applied on the other planets over each libration cycle. Amongst our results on the stability of co-orbitals, several are of interest to constrain the observability of such configurations: long-distance inward migration and smaller leading planets tend to increase the libration amplitude around the Lagrangian equilibria, while leading massive planets and belonging to a resonant chain tend to stabilise it. We also show that, depending on the strength of the dissipative forces, both the inclination and the eccentricity of the smaller of the two co-orbitals can be significantly increased during the inward migration of the co-orbital pair, which can have a significant impact on the detectability by transit of such configurations.

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