# 动态摩擦

## 钱德拉塞卡动态摩擦公式

${\displaystyle {\frac {d\mathbf {v} _{M)){dt))=-16\pi ^{2}G^{2}Mm_{a}\ln {\Lambda }\left[\int _{0}^{v_{M))dv_{a}{v_{a))^{2}f(v_{a})\right]{\frac {\mathbf {v} _{M))((v_{M))^{3))))$

• ${\displaystyle G}$重力常数
• ${\displaystyle v_{M))$ 为目标星之速度
• ${\displaystyle v_{a))$ 为场星之速度
• ${\displaystyle f(v_{a})}$ 为场星速度之分布函数（动态系统）
• ${\displaystyle {\mbox{Ln))(\Lambda )}$库仑对数英语Coulomb collision

## 参考资料

1. ^ Chandrasekhar, S., Dynamical Friction. I. General Considerations: the Coefficient of Dynamical Friction, Astrophysical Journal, 1943, 97: 255–262, Bibcode:1943ApJ....97..255C, doi:10.1086/144517
2. ^ Chandrasekhar, S., Dynamical Friction. II. The Rate of Escape of Stars from Clusters and the Evidence for the Operation of Dynamical Friction, Astrophysical Journal, 1943, 97: 263–273, Bibcode:1943ApJ....97..263C, doi:10.1086/144518
3. ^ Chandrasekhar, S., Dynamical Friction. III. a More Exact Theory of the Rate of Escape of Stars from Clusters, Astrophysical Journal, 1943, 98: 54–60, Bibcode:1943ApJ....98...54C, doi:10.1086/144544
4. ^ Binney, J.; Tremaine, S., Galactic Dynamics, Princeton Series in Astrophysics, 1987, ISBN 0691130272