论文标题
快速旋转的星系不会偏离MOND的质量速度速度关系
Fast-rotating galaxies do not depart from the MOND mass-asymptotic-speed relation
论文作者
论文摘要
Ogle等。最近谬论地认为，快速旋转的圆盘星系与Mond的预测发生了破坏：样品中23个星系中的6个最快的旋转器似乎具有比与银河系的Baryonic质量（$ M $）与MOND关系一致的旋转速度更高的旋转速度，$ M $及其“旋转速度”，$ v $。他们将这一离开视为观察到的$ M-V $关系的休息时间，从Mond预测的$ 4 $附近的对数斜率到浅坡的浅坡约为0 $。但是，Ogle等。使用星系的最大旋转速度，$ v_ {max} $，而不是渐近的旋转速度，$ v_ \ infty $，它出现在mond预测中，$ v_ \ infty^4 = mga_0 $。绘制其$ m $ vs。 （2016年），他们错误地到达了上述紧张局势。 Ogle等人使用的$H_α$旋转曲线。到达太短了，无法探究渐近制度，并确定$ v_ \ infty $。但是，对于具有观察到的，扩展的HI旋转曲线的快速旋转器的文献记载，它们的$ V_ {Max} $比Mond-Relevant $ v_ \ infty $ [NoorderMeer和Verheijen（NV）（NV）（2007年）等。例如，NV样本中最快的旋转器具有$ V_ {max} \大约490 {\ rm〜km/s} $，但是$ v_ \ infty \ offty \ oft 250 {\ rm〜km/s} $。 NV还表明，在（Mond-irrelevant）$ m-v_ {max} $绘制高速星系从低速级别定义的幂律线掉下来，在$ m $ vs. $ v $关系中造成了一个中断，只是Ogle等人声称的方式。但是，当绘制与MOND相关的$ M $相对于$ v_ \ infty $，所有星系都落在相同的幂律关系中，而没有休息。
Ogle et al. have fallaciously argued recently that fast-rotating disc galaxies break with the predictions of MOND: the 6 fastest rotators of the 23 galaxies in their sample appear to have higher rotational speeds than is consistent with the MOND relation between the baryonic mass of a galaxy, $M$, and its `rotational speed', $V$. They interpret this departure as a break in the observed $M-V$ relation from a logarithmic slope near the MOND-predicted $4$, to a shallow slope of $\approx 0$. However, Ogle et al. use the MAXIMAL rotational speed of the galaxies, $V_{max}$, not the ASYMPTOTIC one, $V_\infty$, which appears in the MOND prediction, $V_\infty^4=MGa_0$. Plotting their $M$ vs. $V_{max}$ pairs on an $M$ vs. $V_\infty$ plot from Lelli et al. (2016), they arrive erroneously at the above tension with MOND. The $H_α$ rotation curves used by Ogle et al. are far too short reaching to probe the asymptotic regime, and determine $V_\infty$. However, it is well documented for fast rotators with observed, extended, HI rotation curves, that they can have $V_{max}$ considerably larger than the MOND-relevant $V_\infty$ [Noordermeer and Verheijen (NV) (2007) and others]. E.g., the fastest rotator in the NV sample has $V_{max}\approx 490{\rm ~km/s}$, but $V_\infty\approx 250{\rm ~km/s}$. NV also show that in a (MOND-irrelevant) $M-V_{max}$ plot the high-speed galaxies fall off the power-law line defined by the lower-speed ones, creating a break in the $M$ vs. $V$ relation, in just the way claimed by Ogle et al. But, when plotting the MOND-relevant $M$ vs. $V_\infty$ all galaxies fall near the same power-law relation, without a break.
