适用于Trojan问题的新Hamilton展开式
New Hamiltonian expansions adapted to the Trojan problem
摘要：
一些研究，涉及到我们太阳系中各种行星的观测特洛伊小行星，或太阳系外行星系中的假设特洛伊天体，强调了所谓的二次共振在特洛伊运动长期稳定性问题中的重要性。这种共振描述了特洛伊天体的快速频率、会合频率和长期频率之间的可互换性，并且可能还有由多个扰动天体产生的额外的慢频率。二次共振的存在塑造了相空间的动力学结构。因此，确定它们的位置是理论研究的相关任务。在本文中，我们结合了最近两篇论文（Paez & Efthymiopoulos，2015年，Paez & Locatelli，2015年）中介绍的方法，以便分析预测特洛伊问题中二次共振的位置（请参阅文件以获取摘要）
英文摘要：
A number of studies, referring to the observed Trojan asteroids of various planets in our Solar System, or to hypothetical Trojan bodies in extrasolar planetary systems, have emphasized the importance of so-called secondary resonances in the problem of the long term stability of Trojan motions. Such resonances describe commensurabilities between the fast, synodic, and secular frequency of the Trojan body, and, possibly, additional slow frequencies produced by more than one perturbing bodies. The presence of secondary resonances sculpts the dynamical structure of the phase space. Hence, identifying their location is a relevant task for theoretical studies. In the present paper we combine the methods introduced in two recent papers (Paez & Efthymiopoulos, 2015, Paez & Locatelli, 2015) in order to analytically predict the location of secondary resonances in the Trojan problem (SEE FILE FOR COMPLETE ABSTRACT)
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