To estimate influence of the "dark energy" on the Keplerian orbits, we solve the general relativistic equations of motion of a test particle in the field of a point-like mass embedded in the cosmological background formed by the Lambda-term with realistic cosmological Robertson-Walker asymptotics at infinity. It is found that under certain relations between three crucial parameters of the problem--the initial radius of the orbit, Schwarzschild and de Sitter radii--the specific secular perturbation caused by the Lambda-term becomes significant, i.e. can reach the rate of the standard Hubble flow. This fact is interesting both by itself and may have important consequences for the long-term dynamics of planets and stellar binary systems.
Post-Keplerian perturbations of the hyperbolic motion in the field of a rotating massive object. Analysis in terms of osculating and nonosculating (contact) elements
Gravitational Rutherford scattering and Keplerian orbits for electrically charged bodies in heterotic string theory
本文研究了带电粒子在Gibbons-Maeda-Garfinkle-Horowitz-Strominger（GMGHS）黑洞背景中的运动特性。径向和角运动的研究分析不同的基本参数值。因此，引力卢瑟福散射和开普勒轨道进行了详细的分析。最后，本文补充了Fernando先前关于零测地线的工作（Phys. Rev. D 85：024033，2012），Olivares & Villanueva（Eur. J. C 73：2659，2013）和Blaga（Automat. Comp.Appl.Math.22，41（2013）; Serbian. Astron. J. 190，41（2015））用于类时测地线。
Periodic line-of-sight velocity-driven modulations to gravitational waves emitted by compact binaries in Keplerian outer orbits
Inter-University Centre for Astronomy and Astrophysics（大学间天文与天体物理中心）；Canadian Institute for Theoretical Astrophysics, University of Toronto（多伦多大学加拿大理论天体物理研究所）；Tata Institute of Fundamental Research（塔塔基础研究院）
