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Show that the angular momentum of a planet orbiting the Sun is conserved (neglect any perturbing forces from other planets an

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Answer #1

From newton law of gravitation force of gravity between planet and sun is inversely proportional to square of distance between them with direction along the radial vector from planet to sun

So F = g(r)f

So the External Torque acting on the system is zero,

As

τ =r × F

As F is in direction of r so torque = 0

As torque is equal to rate change in angular momentum so angular momentum of planetary motion which is governed byncentral force is 0.

So angular momentum is constant.

So the Total angular momentum of the system is constant.

Since there is no external force on the Sun+Planet system, so the total linear momentum of Sun+planet system is constant.

Please rate it up thanks :)

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