Energy in Planetary Motions

Details Energy in Planetary Motions Energy in Planetary Motions

Aug 1913

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1913natur..91..581g&link_type=abstract

Nature, Volume 91, Issue 2284, pp. 581-582 (1913).

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IF a particle of mass m be brought from infinity to distance r by the action of a central attraction varying as the inverse square of the distance, the potential energy exhausted in the process is mμ/r, where μ is the ``intensity of the centre''. If the particle has experienced no resistance to its motion the kinetic energy is given by the equation . But if the particle be made to move in a circle of radius r about the centre of force, the speed v is given by and the kinetic energy ½mv2 represents only half Jhe potential energy exhausted. The other half must have been dissipated or disposed of in some way or other.

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