标题： 在宇宙学常数视角下球对称引力场中大质量粒子的轨道 显示英文标题

标题： Orbits of Massive Particles in a Spherically Symmetric Gravitational Field in View of Cosmological Constant

摘要： 本文研究了视宇宙常数为{\Lambda }时，科特勒度规下大质量粒子的轨迹，进行了理论分析。对于{\Lambda }的正负两种情况，我们提出了一种轨迹分类方法，基于对应代数曲线用 Puiseux 级数展开所得到的不同解。此外，我们还给出了与不同宇宙常数值相对应的一些特定类型的轨迹。在宇宙常数取负值的情况下，通过星系旋转曲线对其上限进行了估算。 显示英文摘要

摘要： In this paper we present the results of a theoretical study of the trajectories of massive particles in the K\"ottler metric in view of the cosmological constant {\Lambda}. For both negative and positive signs of {\Lambda} a classification of trajectories is proposed, with entries based on different solutions of the trajectory equation, obtained by the expansion of the corresponding algebraic curve in Puiseux series. We also provide some specific types of trajectories which correspond to different values of the cosmological constant. In the case of negative values of the cosmological constant its upper limit is estimated from the galaxy rotation curves