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1 ˙δ + --∇ ⋅ [(1 + δ)v] = 0, (46 ) a ˙v + 1-(v ⋅ ∇ )v + ˙av = − 1-∇p − 1∇ ϕ, (47 ) a a ρa a ∇2ϕ = 4πG ¯ρa2δ, (48 )