The solid line represents the orbit of the primary galaxy and the dashed line represents the secondary galaxy, where is the apocentric distance In the Fig. The effects of this difference appear more clearly comparing the experiments number 3 and number 15, where we have more orbital periods. We can notice that the orbit in solid line in experiment 3 goes further along than the solid line orbit in experiment 15. This can be seen clearly from the circularization time that it will be discussed in Sect. The time evolution of the eccentricities of the orbits up to one Hubble time, for the experiments 1-18.
Dots represent the results obtained using the first method as described in the text.
The straight solid lines represent the fitted curves to these points For two very near subsequent positions in the orbit and using Eq. Before utilizing the Eq. Due to these facts the orbital decay rate was not very high and it did not appear the strong discontinuities in the time evolution of the eccentricities around the apocenter and pericenter time. In these figures dots represent the eccentricities calculated using the Eq. Considering orbits shown in Fig.