Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fundamental Frequencies in the Schwarzschild Spacetime   We consider the Keplerian, radial and vertical fundamental frequencies in the
Schwarzschild spacetime to study the so-called kilohertz quasi-periodic
oscillations from low-mass X-ray binary systems. We show that, within the
Relativistic Precession Model, the interpretation of observed kilohertz
quasi-periodic oscillations in terms of the fundamental frequencies of test
particles in the Schwarzschild spacetime, allows one to infer the total mass
$M$ of the central object, the internal $R_{in}$ and external $R_{ex}$ radii of
accretion disks, and innermost stable circular orbits $r_{ISCO}$ for test
particles in a low-mass X-ray binary system. By constructing the relation
between the upper and lower frequencies and exploiting the quasi-periodic
oscillation data of the Z and Atoll sources we perform the non-linear model fit
analysis and estimate the mass of the central object. Knowing the value of the
mass we calculate the internal $R_{in}$ and external $R_{ex}$ radii of
accretion disks and show that they are larger than $r_{ISCO}$, what was
expected.

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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom