行星撞击坑分形及分维数意义探讨

Crater Fractal and Its Dimension on Planet

行星表面撞击坑数目与直径大小之间的分布是一种分形．地球撞击坑的分维数为1．162，月球酒海盆地撞击坑的分维数为2．0，土卫8等土星卫星撞击坑的分维数介于2．016～2．651之间．不同行星及同一行星不同地区撞击坑分维数的变化规律似乎表明：对于不同行星体，行星地质活动性愈强，则其撞击坑分维愈低，反之愈高；而对于同一行星的不同地区，撞击坑分维数似乎可用于划分其相对地质年龄，撞击坑分维数愈低，则其相对地质年龄愈老，反之愈年轻．

The distribution between craters number and its corresponding diameteris a fractal on planets. On the Earth,the crater fractal dimension is 1. 162;on the MareNectaris of the Moon, it is about 2. 0 jand on the satellites of Saturn,the crater fractal dimension is 2. 016--2. 651. On different planets or on different terrains of the same planet,it seems that the change of crater fractal dimensions indicates: (l )for different planets,the stronger they geologically act,the smaller crater fracal dimensions they have,andvice versa 5 (2)for different terrains of the same planet,it seems that the relatively geological age may be divided via the crater fractal dimension,which means that the olderthe relatively geological age of the terrain is the smaller crater fractal dimension and viceversa.