标题： 修正引力场对太阳系远边缘开普勒天体运动的影响 显示英文标题

标题： The influence of modified gravitational fields on motions of Keplerian objects at the far-edge of the Solar System

摘要： 我们研究了三种不同的牛顿引力修正对太阳系开普勒天体运动的影响。 这些天体位于距离相当于至奥尔特云距离的范围内。 通过这三种修正，我们考虑了一个由Diemand等人指出的日心暗物质晕、修改后的牛顿动力学（MOND）以及Fahr与Siewert推导出的由于局部负宇宙常数引起的真空诱导力 $\Lambda_-$。 在引力束缚系统中，结果表明这三种修正提供了相同的定性结果： 纯牛顿情况下的初始圆形轨道被迫转化为具有近日点迁移的椭圆轨道。 然而，对轨道参数的定量分析显示，MOND与暗物质和 $\Lambda_-$ 效应之间存在显著差异。 显示英文摘要

摘要： We investigated the impact of three different modifications of Newtonian gravity on motions of Keplerian objects within the Solar System. These objects are located at distances of the order of the distance to the Oort cloud. With these three modifications we took into account a heliocentric Dark-Matter halo as was indicated by Diemand et al, Modified Newtonian Dynamics (MOND) and a vacuum-induced force due to a locally negative cosmological constant $\Lambda_-$ derived by Fahr & Siewert. In gravitationally bound systems it turns out that all three modifications deliver the same qualitative results: Initially circular orbits for the pure Newtonian case are forced to convert into ellipses with perihelion migrations. The quantitative consideration, however, of the orbital parameters showed strong differences between MOND on the one side, and Dark-Matter and $\Lambda_-$ effects on the other side.