用银河系自转曲线数据研究暗物质和MOND模型：分析气体主导的星系
Investigating Dark Matter and MOND Models with Galactic Rotation Curve Data: Analysing the Gas-Dominated Galaxies
摘要：
在规范化的$(g_{bar},g_{obs})$ -空间（$g2$ -space）中，分析了银河系数据库中以气体为主的星系的几何结构，其中$g_{obs}$是观测到的向心加速度，$g_{bar}$是由观测到的重子物质通过牛顿动力学得到的向心加速度。$g2$ -空间的规范化显着减少随机和系统的不确定性的影响，以及使不同星系的几何形状的比较。分析以气体为主的星系（相对于其他星系）进一步抑制了质光比的影响。研究发现，在规范化的$g2$空间（用$r_{obs}>r_{bar}$表征，其中$r_{bar}=\arg \max_r[g_{bar}(r)]$和$r_{obs}=\arg \max_r[g_{obs}(r)]$）中，气控星系的整体几何形状与一个弯曲的几何形状是一致的.这是在对比的整体几何学的所有星系在银河系最好的近似几何固化无处规范化$g2$ -空间（特点是$r_{obs}=r_{bar}$）与轻微的倾向于一个弯曲的几何形状。以气体为主的星系的几何形状不仅表明真正的（独立于质量与光的比率，以领先的顺序）几何数据在$g2$空间（这可以用来推断属性的解决方案，以失踪的质量问题），但也-当比较所有星系的几何形状-表明潜在的径向依赖盘的质量与光的比率。
英文摘要：
In this study the geometry of gas dominated galaxies in the SPARC database is analyzed in a normalized $(g_{bar},g_{obs})$-space ($g2$-space), where $g_{obs}$ is the observed centripetal acceleration and $g_{bar}$ is the centripetal acceleration as obtained from the observed baryonic matter via Newtonian dynamics. The normalization of $g2$-space significantly reduce the effect of both random and systematic uncertainties as well as enable a comparison of the geometries of different galaxies. Analyzing the gas-dominated galaxies (as opposed to other galaxies) further suppress the impact of the mass to light ratios. It is found that the overall geometry of the gas dominated galaxies in SPARC is consistent with a rightward curving geometry in the normalized $g2$-space (characterized by $r_{obs}>r_{bar}$, where $r_{bar}=\arg \max_r[g_{bar}(r)]$ and $r_{obs}=\arg \max_r[g_{obs}(r)]$). This is in contrast to the overall geometry of all galaxies in SPARC which best approximates a geometry curing nowhere in normalized $g2$-space (characterized by $r_{obs}=r_{bar}$) with a slight inclination toward a rightward curving geometry. The geometry of the gas dominated galaxies not only indicate the true (independent of mass to light ratios to leading order) geometry of data in $g2$-space (which can be used to infer properties on the solution to the missing mass problem) but also - when compared to the geometry of all galaxies - indicate the underlying radial dependence of the disk mass to light ratio.
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