论文标题
通过小波分析主带小行星分布
Analysing the Main Belt asteroid distributions by wavelets
论文作者
论文摘要
我们对主要皮带小行星进行统计小波分析，以寻求具有统计学意义的小行星家族。目的是测试新的小波分析算法，并将其结果与层次群集（例如层次聚类）进行比较。我们首先考虑小行星各种物理和轨道参数的几个1D分布。然后，我们考虑对三个轨道参数（a，e，i）的三个双变量分布。此空间的完整3D分析在这里不可用，但是基于2D结果，我们对重叠的2D族进行了分离，并得出了总计44个3D家族，具有确认的统计显着性。
We perform statistical wavelet analysis of the Main Belt asteroids, seeking statistically significant asteroid families. The goal is to test the new wavelet analysis algorithm and to compare its results with more traditional methods like the hierarchic clustering. We first consider several 1D distributions for various physical and orbital parameters of asteroids. Then we consider three bivariate distributions for the three orbital parameters (a,e,i) taken pairwisely. The full 3D analysis of this space is not available here, but based on the 2D results we perform a disentangling of overlapped 2D families and derive total of 44 3D families with confirmed statistical significance.
