论文标题
13315个稳定的非等级质量三重系统的稳定周期轨道的家族
One family of 13315 stable periodic orbits of the non-hierarchical unequal-mass triple system
论文作者
论文摘要
三体问题已经研究了三个世纪以上[1,2]，近年来受到了很多关注[3-5]。由于三个物体的相互重力相互作用，它显示出复杂的动力学现象。三重系统在天文学中很常见，但是所有观察到的周期性三重系统迄今为止均为分层[6-8]。传统上认为，绑定的非等级三重系统几乎是不稳定的，并且分解为稳定的二元系统和一个单星[5]，因此非分层三重系统的稳定周期性轨道相当稀少。在这里，我们报告了一个13315个家族的稳定的非等级三重系统的稳定周期轨道，具有不等质量。与稳定的图八溶液的狭窄质量区域（仅10E-5）相比，我们新发现的稳定周期轨道可以具有相当大的质量区域。发现这些新发现的稳定周期性轨道中的许多具有接近通过天文观测测量的分层三重系统的质量比。这意味着在实践中很可能观察到具有明显不平等质量的非等级三重系统的这些稳定的周期性轨道。我们的调查还表明，应该存在无数稳定的周期轨道，这些稳定的周期性轨道具有明显不平等的质量。显然，非层次不平等质量三重系统的这些稳定的周期性轨道对天体物理的情景具有广泛的影响：它们可以激发非层次三级系统的理论和观察性研究，即三星级的形成[6] [6]，引力波模式[10] [10]和重力波[11] of Innon syark of SystrAChT tripe tripe tripe tripe tripe triple trtiple triple triple triple triple triple Trripe triple triple triple trtiple triple triple triple triple triple triple triple triple trtip。
The three-body problem has been studied for more than three centuries [1,2], and has received much attention in recent years [3-5]. It shows complex dynamical phenomena due to the mutual gravitational interaction of the three bodies. Triple systems are common in astronomy, but all observed periodic triple systems are hierarchical up till now [6-8]. It is traditionally believed that bound non-hierarchical triple systems are almost unstable and disintegrate into a stable binary system and a single star [5], and thus stable periodic orbits of non-hierarchical triple systems are rather scarce. Here we report one family of 13315 stable periodic orbits of the non-hierarchical triple system with unequal mass. Compared with the narrow mass region (only 10E-5) of the stable figure-eight solution [9], our newly-found stable periodic orbits can have fairly large mass region. It is found that many of these newly-found stable periodic orbits have the mass ratios close to those of the hierarchical triple systems that have been measured by the astronomical observation. It implies that these stable periodic orbits of the non-hierarchical triple system with distinctly unequal masses can be quite possibly observed in practice. Our investigation also suggests that there should exist an infinite number of stable periodic orbits of non-hierarchical triple systems with distinctly unequal masses. Obviously, these stable periodic orbits of the non-hierarchical unequal-mass triple system have broad impact for the astrophysical scenario: they could inspire the theoretical and observational study of the non-hierarchical triple system, the formation of triple stars [6], the gravitational waves pattern [10] and the gravitational waves observation [11] of the non-hierarchical triple system.
