Gravitational potential In spherical coordinates: need to solve 1 6 1 OV (r)+ (sine)+-22 ra r- since r- sin 0 an This is laplace s equation in spherical coordinates 02/1302 12.540Lec0302/13/02 12.540 Lec 03 3 Gravitational potential • In spherical coordinates: need to solve • This is Laplace’s equation in spherical coordinates 1 r ∂ 2 ∂r 2 (rV ) + 1 r 2 sin θ ∂ ∂θ(sin θ ∂V ∂θ ) + 1 r 2 sin 2 θ ∂ 2 V ∂λ 2 = 0