The second approximation represents the time needed for deterministic loss by mutation accumulation.
2.
The second approximation is that only the lowest ( zero-point ) lattice vibration is excited.
3.
Poisson showed that the result could be extended to a second approximation, and thus made an important advance in planetary theory.
4.
My guess is the second approximation would be more accurate, which could be confirmed or falsified by doing a numerical integration to get ( very close to ) the real answer . talk ) 02 : 17, 28 October 2013 ( UTC)
5.
The theorem has its " clearest and most famous exposition " in the " Theory of Interest " ( 1930 ); particularly in the " second approximation to the theory of interest " ( [ http : / / www . econlib . org / library / YPDBooks / Fisher / fshToI6 . html # firstpage-bar II : VI ).
6.
The second approximation is justified by the fact that, for most cases in the Solar System, \ sqrt [ 3 ] { \ frac { \ rho _ { \ mathrm { secondary } } } { 3 \ rho _ { \ mathrm { primary } } } } happens to be close to one . ( The Earth Moon system is the largest exception, and this approximation is within 20 % for most of Saturn's satellites . ) This is also convenient, because many planetary astronomers work in and remember distances in units of planetary radii.
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