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Mark Gieles, Alice Zocchi, Erratum: A family of lowered isothermal models, Monthly Notices of the Royal Astronomical Society, Volume 474, Issue 3, March 2018, Page 3997, https://doi.org/10.1093/mnras/stx3144
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methods: analytical, methods: numerical, stars: kinematics and dynamics, globular clusters: general, open clusters and associations: general, galaxies: star clusters: general
This is an erratum to the paper ‘A family of lowered isothermal models’, which was published in MNRAS, 454(1), 576 (2015). In section 2.1.5, the right-hand sides of equations (20) and (21) correspond to |$\lim _{\hat{\phi }\rightarrow 0}\mathcal {I}^{\rho }$| and |$\lim _{\hat{\phi }\rightarrow 0}\mathcal {I}^{\rho \sigma ^2}$|, respectively. The limiting behaviour of |$\hat{\rho }$| and |$\hat{\rho }\hat{\sigma }^2$| is (20)(21)There is also a typo in the expression of |$\sigma _{\rm S}^2(r)$| (equation 41) in section 4.2. The correct notation is (41)These printed mistakes do not affect any of the figures. The limepy code1 had the correct version of |$\sigma _{\rm S}^2(r)$| implemented, and there are therefore no ramifications for publications that used limepy models.
\begin{eqnarray}
\lim _{\hat{\phi }\rightarrow 0} \hat{\rho } = \frac{\hat{\phi }^{g+3/2}}{\Gamma (g+5/2)E_\gamma (g+3/2, \hat{\phi }_0)},
\end{eqnarray}
\begin{eqnarray}
\lim _{\hat{\phi }\rightarrow 0} \hat{\rho }\hat{\sigma }^2 = \frac{3\hat{\phi }^{g+5/2}}{\Gamma (g+7/2)E_\gamma (g+3/2, \hat{\phi }_0)}.
\end{eqnarray}
\begin{equation}
\sigma _{\rm S}^2(r) = \sigma _{\rm r}^2 \left[ 1 - \beta (r) \left(1 - \frac{R^2}{r^2}\right) \right].
\end{equation}
Acknowledgements
We thank Ian Claydon for spotting the mistakes in equations (20) and (21).
Footenotes
1
limepy is available from: https://github.com/mgieles/limepy.
REFERENCES
© 2017 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society
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