Kepler Problem in the Presence of Dark Energy, and the Cosmic Local Flow by Alexander Silbergleit & Arthur Chernin

Author:Alexander Silbergleit & Arthur Chernin
Language: eng
Format: epub
ISBN: 9783030367527
Publisher: Springer International Publishing

to clarify the dimensions, we introduced three positive characteristic energies,

we also took into account that the total energy is negative, .

Other exact elementary orbital solutions occur when the polynomial Q(u) has a multiple, double or triple, root. All such cases are shown in Figs. 4.2b, 4.6a, c; we cover them one by one.

4.5.2 The Case

This case, with Q(u) plotted in Fig. 4.2b, is described by dimensionless parameters and . The polynomial has a triple root ; it is straightforward to see that , so the polynomial becomes . Moreover, here

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