The Elements of Theoretical And Descriptive Astronomy for the Use of Colleges a

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For instance, in the case of the earth and the sun, the earth does not describe an ellipse about the sun at rest, but both earth and sun revolve about their common centre of gravity. It is shown in Mechanics that the common centre of gravity of any two globes is at a point on the straight line joining their in- dependent centres of gravity, so situated that its distances from the centres of the two globes are inversely as the masses of the globes. Hence the distance of the common centre of grav...ity of the earth and the sun from the centre of the sun is ' ' oJ7, U()0 miles, or only about 280 miles ; so that the sun may practically bo considered to be at rest.
With regard to Kepler's second law, Newton further showed that the angular velocity with which the radius vector moves must be inversely proportional to the square of its length.
112 PRECESSION.
Finally, he proved also the tru^h of the third law, provided only that a slight correction is introduced when the mass of the planet is not so small as to be inappreciable in comparison with that of the sun.


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