13
Dynamic Friction
•Chandrasekhar’s (1960) formula:
•dv/dt = -(v/v3)16π2(ln Λ)G2m(m+M)∫f(v)v2dv
•where Λ is a factor of order 1 involving the masses, impact parameter and initial velocity, f is the stellar density, M is the intruder, m is the stellar mass.
•If the intruder is mass, M >> m, then
•dv/dt ~ -v 16π2(ln Λ)G2mM f(0)
•So the force proportional to velocity in this case, a viscous friction.  Concerned with the mass density of stars, not individual masses.  Force dependent on M, intruder mass.  The FORCE goes as mass squared.