Gyration tensor
（重定向自Asphericity）
In physics, the gyration tensor is a tensor that describes the second moments of position of a collection of particles
where ![r_{m}^{(i)}](/Images/godic/202412/22/fd3e703e1e52bd6e628c9cc4d18335845908.png")
is the ![\mathrm{m^{th}}](/Images/godic/202412/22/cb9e95dd7d5dcde9a8d1b85a917d92185908.png")
Cartesian coordinate of the position vector ![\mathbf{r}^{(i)}](/Images/godic/202412/22/060b938e40b4a4a384a0c8a4ac921b0d5908.png")
of the
![\mathrm{i^{th}}](/Images/godic/202412/22/482dfb95c8db1ca6099b494cc692fad35908.png")
particle. The origin of the coordinate system has been chosen such that