Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-resonance orbital model of HF QPOs   Using known frequencies of the twin peak high-frequency quasiperiodic
oscillations (HF QPOs) and known mass M of the central black hole, the
black-hole dimensionless spin a can be determined assuming a concrete version
of the resonance model. However, large range of observationally limited values
of the black hole mass implies a low precision of the spin estimates. We
discuss the possibility of higher precision of the black hole spin measurements
in the framework of multi-resonance model inspired by observations of more than
two HF QPOs in some black hole sources. We determine the spin and mass
dependence of the twin peak frequencies with a general rational ratio n:m
assuming a non-linear resonance of oscillations with the epicyclic and
Keplerian frequencies or their combinations. In the multi-resonant model, the
twin peak resonances are combined properly to give the observed frequency set.
We focus on the special case of duplex frequencies, when the top, bottom, or
mixed frequency is common at two different radii where the resonances occur
giving triple frequency sets.

16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an