论文标题
TRGB多波长结构的数学基础
Mathematical Underpinnings of the Multi-Wavelength Structure of the TRGB
论文作者
论文摘要
我们考虑将红色巨型分支（TRGB）的尖端应用于光学和近红外，以确定附近星系的距离。我们使用M_I = -4.05的MAG在LMC中使用分离的Eclipted Eclipsed Binary Eclipsips biarile binarione star star deemetraxes确定的ACS ACS VI（F555W＆F814W）数据和自相关的交叉校准WFC3-IR JH（F110W＆F120W）数据。我们演示了TRGB方法的光学和近红外校准是在数学上是自谐的，并说明了这些多波长校准之间的数学基础和关系。我们继续提出一种使用多波长数据来确定主机银河系的红色，灭绝和真实模量的方法。该方法的功能是，使用高精度数据，可以使用TRGB恒星本身确定变红，并减少由于这些光晕恒星的红色而导致的距离（尽管通常很小）的不确定性。
We consider the application of the tip of the red giant branch (TRGB) in the optical and in the near infrared for the determination of distances to nearby galaxies. We analyze ACS VI (F555W & F814W) data and self-consistently cross-calibrate WFC3-IR JH (F110W & F120W) data using and absolute magnitude calibration of M_I = -4.05 mag as determined in the LMC using detached eclipsing binary star geometric parallaxes. We demonstrate how the optical and near-infrared calibrations of the TRGB method are mathematically self-consistent, and illustrate the mathematical basis and relations amongst these multi-wavelength calibrations. We go on to present a method for determining the reddening, extinction and the true modulus to the host galaxy using multi-wavelength data. The power of the method is that with high-precision data, the reddening can be determined using the TRGB stars themselves, and decreases the systematic (albeit generally small) uncertainty in distance due to reddening for these halo stars.
