Wednesday, August 27, 2008
Irodov Problem 1.204
As seen from problem 1.202 the time period of a planet is given by where R and r are the distance of the planet at its extremities from the sun and Ms is the sun's mass. Now scaling down the entire solar system by a factor of will have two effect, i) R and r will scale by a factor and ii) the radii of all the planets will shrink by a factor and hence their masses will shrink by a factor (since their volumes will shrink by a factor and their average densities are the same). Thus, the expression will remain unchanged, in other words the time periods of the planets will remain unchanged.
Posted by Krishna Kant Chintalapudi at 10:35 AM