The Hamiltonian equations of motion are v 1 = ∂ ∂ H ∂ ∂ p 1 and d p 1 d t = − − ∇ ∇ 1 H , which yield v 1 = ( 1 − − 1 2 p 1 2 m 1 2 c 2 ) p 1 m 1 − − q 1 q 2 2 m 1 m 2 c 2 1 r [ 1 + r ^ ^ r ^ ^ ] ⋅ ⋅ p 2 and d p 1 d t = q 1 q 2 r 2 r ^ ^ + q 1 q 2 r 2 1 2 m 1 m 2 c 2 { p 1 ( r ^ ^ ⋅ ⋅ p 2 ) + p 2 ( r ^ ^ ⋅ ⋅ p 1 ) − − r ^ ^ [ p 1 ⋅ ⋅ ( 1 + 3 r ^ ^ r ^ ^ ) ⋅ ⋅ p 2 ] }