86.4 The gravitational field and Gauss's law for thethe gravitational field 2. Principle of linear superposition superposition the total gravitational field established at some point in space by a number of masses is the vector sum of the individual gravitational fields at that point by each mass acting individually ① individual masses g g=∑ 83 =g1+g2+…+g+…gN 86.4 The gravitational field and Gausss law for the the gravitational field ② extended mass dM dM lg dg=-G-r g(r)=-G The influence of a mass m on another mass m is thought of as being conveyed by the field e The idea of action-at-a-distance take placed by idea of field15 §6.4 The gravitational field and Gauss’s law for the the gravitational field Gravitational force obey the principle of linear superposition, the total gravitational field established at some point in space by a number of masses is the vector sum of the individual gravitational fields at that point by each mass acting individually. 2. Principle of linear superposition 1individual masses i N N i i g g g g g g r L r L r r r r = + + + + = ∑ 1 2 g1 r 2 g r g3 r g g r ′ r m1 m2 m3 §6.4 The gravitational field and Gauss’s law for the the gravitational field r r M g r G ˆ d ( ) ∫ 2 = − r 2extended mass r M g ˆ r d d -G 2 = r rˆ g r M d d r P The influence of a mass M on another mass m is thought of as being conveyed by the field. The idea of action-at-a-distance take placed by idea of field