γ γ = 1 1 − − v 2 c 2 and β = ⁠ v / c ⁠. We have, 1 2 p ⋅ ⋅ v = 1 2 β β γ γ m c ⋅ ⋅ β β c = 1 2 γ γ β β 2 m c 2 = ( γ γ β β 2 2 ( γ γ − − 1 ) ) T . The last expression can be simplified to ( 1 + 1 − − β β 2 2 ) T or ( γ γ + 1 2 γ γ ) T . Thus, under the conditions described in earlier sections (including Newton's third law of motion, F jk = − F kj, despite relativity), the time average for N particles with a power law potential is n 2 ⟨ V T O T ⟩ τ τ = ⟨ ∑ ∑ k = 1 N ( 1 + 1 − − β β k 2 2 ) T k ⟩ τ τ = ⟨ ∑ ∑ k = 1 N ( γ γ k + 1 2 γ γ k ) T k ⟩ τ τ . In particular, the ratio of kinetic energy to potential energy is no longer fixed, but necessarily falls into an interval: 2 ⟨ ⟨ T T O T ⟩ ⟩ n ⟨ ⟨ V T O T ⟩ ⟩ ∈ ∈ [ 1 , 2 ] , where the more relativistic systems exhibit the larger ratios.