Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Changing the $\nu_{\max}$ Scaling Relation: The Need For a Mean
  Molecular Weight Term   The scaling relations that relate the average asteroseismic parameters
$\Delta \nu$ and $\nu_{\max}$ to the global properties of stars are used quite
extensively to determine stellar properties. While the $\Delta \nu$ scaling
relation has been examined carefully and the deviations from the relation have
been well documented, the $\nu_{\max}$ scaling relation has not been examined
as extensively. In this paper we examine the $\nu_{\max}$ scaling relation
using a set of stellar models constructed to have a wide range of mass,
metallicity, and age. We find that as with $\Delta \nu$, $\nu_{\max}$ does not
follow the simple scaling relation. The most visible deviation is because of a
mean molecular weight term and a $\Gamma_1$ term that are commonly ignored. The
remaining deviation is more difficult to address. We find that the influence of
the scaling relation errors on asteroseismically derived values of $\log g$ are
well within uncertainties. The influence of the errors on mass and radius
estimates is small for main sequence and subgiants, but can be quite large for
red giants.

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The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: stat
2
The categories of this paper are: math
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The categories of this paper are: chao-dyn