Rotational Brownian motion (astronomy) that the rotation axis of the binary is oriented at angle θ at time "t". The evolution equation for "F" is formula_17 If <Δξ>, "a", ρ and σ are constant in time, this becomes formula_18 where μ = cos θ and τ is the time in units of the relaxation time "t", where formula_19 The solution to this equation states that the expectation value of μ decays with time as formula_20 Hence, "t" is the time constant for the binary's orientation to be randomized by torques from field stars. Rotational Brownian motion was first discussed in the context of binary
Brownian Motion Ultimate squared off against defending champions Colorado. Colorado, led by 2004 Callahan Award winner Josh "Richter" Ackley and sophomore Beau Kittredge, had had a more successful spring season than Brown, but the two teams had not yet faced each other. The night before the game, Brown's Josh Ziperstein was announced the 2005 Callahan Award winner, leading to a rare occurrence of two Callahan Award winners playing against each other in the finals. Brown defeated Colorado 15-14 in a game that featured incredible plays by both Brown and Colorado. 2005 2004 2003 2002 2001 2000 1999 1998 1996 Brownian Motion Ultimate Brownian