Abstract: In general relativity, coordinate transformations are often made to simplify calculations, and theoretical predictions are calculated in some specific coordinates. We take the test particle’s motion in Schwarzschild space-time as an example, to illustrate that the solutions for orbit and velocity as well as the time from perihelion to aphelion depend on the coordinates employed for the calculations, even if they are formulated in terms of orbital energy and angular momentum. The aim of this work is to demonstrate that coordinate tran...
