论文标题
一种修改的Kwee -van Woerden用于日食最小正时的方法，并具有可靠的错误估计
A modified Kwee - van Woerden method for eclipse minimum timing with reliable error estimates
论文作者
论文摘要
用于确定日食的最低时间的Kwee -van Woerden（KVW）方法已成为数十年来黯然失色的二元研究的主食，这是由于其简单性和外部输入参数的独立性，这也使其非常适合获得外部活动的时间。但是，已知其对时间误差的估计值较低。在分析CM DRACONI的非常精确的光度法中，TESS Space Mission Data Eclipses ECLIPSES时，KVW的原始方程式用于定时误差估算产生的数值错误，这证明了该方程中的基本问题。此贡献引入了一种改进的方法，用于通过KVW方法计算时间误差。提出了实现这种改进方法的代码，并提出了原始方法的几个更新。给出了从苔丝的CM Draconis光曲线应用的示例。 Eclipse的最低时间是通过KVW方法的三个原始光曲线褶皱得出的，但也有五个和七倍。使用五个或更多折叠会产生最小时间，其精度基本更好。改进的错误计算方法会产生一致的时序误差，这与其他方式获得的错误估计非常吻合。对于来自CM Draconis的Tess数据，最低精度为1.1秒。可靠的时序误差也是评估O-C图中给定的散布是由测量误差引起还是物理周期变化引起的有价值的指标。
The Kwee - van Woerden (KvW) method used for the determination of eclipse minimum times has been a staple in eclipsing binary research for decades, due its simplicity and the independence of external input parameters, which also makes it well-suited to obtaining timings of exoplanet transits. However, its estimates of the timing error have been known to have a low reliability. During the analysis of very precise photometry of CM Draconis eclipses from TESS space mission data, KvW's original equation for the timing error estimate produced numerical errors, which evidenced a fundamental problem in this equation. This contribution introduces an improved approach for calculating the timing error with the KvW method. A code that implements this improved method, together with several further updates of the original method, are presented. An example of the application to CM Draconis light curves from TESS is given. The eclipse minimum times are derived with the KvW method's three original light curve folds, but also with five and seven folds. The use of five or more folds produces minimum timings with a substantially better precision. The improved method of error calculation delivers consistent timing errors which are in excellent agreement with error estimates obtained by other means. In the case of TESS data from CM Draconis, minimum times with an average precision of 1.1 seconds are obtained. Reliable timing errors are also a valuable indicator for evaluating if a given scatter in an O-C diagram is caused by measurement errors or by a physical period variation.
