Motion4D-library extended

Abstract
The new version of the Motion4D-library now also includes the integration of a Sachs basis and the Jacobi equation to determine gravitational lensing of pointlike sources for arbitrary spacetimes.

Title of program: Motion4D-library
Catalogue Id: AEEX_v3_0

Nature of problem
Solve geodesic equation, parallel and Fermi-Walker transport in four-dimensional Lorentzian spacetimes. Determine gravitational lensing by integration of Jacobi equation and parallel transport of Sachs basis.

Versions of this program held in the CPC repository in Mendeley Data
AEEX_v1_0; Motion4D-library; 10.1016/j.cpc.2009.07.014
AEEX_v2_0; Motion4D-library; 10.1016/j.cpc.2009.10.021
AEEX_v3_0; Motion4D-library; 10.1016/j.cpc.2011.02.009
AEEX_v3_1; Motion4D-library; 10.1016/j.cpc.2014.04.020

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要
Motion4D-library库的最新版本已实现对Sachs基的集成以及Jacobi方程的应用，以确定任意时空中的点源引力透镜效应。

程序标题：Motion4D-library
目录编号：AEEX_v3_0

问题性质
解决四维洛伦兹时空中的测地线方程、平行传输和Fermi-Walker传输问题。通过Jacobi方程的积分与Sachs基的平行传输确定引力透镜效应。

此程序版本存放在Mendeley数据中的CPC程序库中
AEEX_v1_0; Motion4D-library; 10.1016/j.cpc.2009.07.014
AEEX_v2_0; Motion4D-library; 10.1016/j.cpc.2009.10.021
AEEX_v3_0; Motion4D-library; 10.1016/j.cpc.2011.02.009
AEEX_v3_1; Motion4D-library; 10.1016/j.cpc.2014.04.020

该程序已从贝尔法斯特女王大学（1969-2019年）所持有的CPC程序库中导入。