  In this paper, I am going to introduce a bounded component of the rotating
Kepler problem for the critical energy value $-\dfrac{3}{2}$ after combination
of the Ligon-Schaaf regularization and the Levi- Civita regularization. This is
one of my Ph.D. results. The result first time proved in my thesis and I use
the results to compute the several ECH capacities for the RKP. In the paper
[1], you can see the final results and new methods for ECH capacities
computation.
