Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The ECH capacities for the rotating Kepler problem   In this paper, I am going to compute the ECH-capacities of the rotating
Kepler problem when the energy is less than or equal to the critical energy
value $-\dfrac{3}{2}$. To compute the ECH-capacities, I will use the special
concave toric domain of the rotating Kepler problem, that is explained in
[arXiv:2108.04581] and obtain the weights of the special concave toric domain.
I will use a new method to compute the weights via the new tree
[arXiv:2108.04581] and then give an order to them that is necessary to do the
computation. The weights are continuous function belongs to the energy
parameter. So we can use the computation for all energy level below the
critical energy. Finally, we will prove that the first weight is the biggest
weight for all energy $c \leq -\dfrac{3}{2}$ and will see a numerical example
of the ECH-capacities computation for the critical energy.

28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics