Hector Javier Durand-Manterola
The study of the interior of the planets requires the knowledge of how
certain parameters, as radius and mean density, vary according to the planet
mass. The aim of this work is to use known data of the Solar System Planets and
Transiting Exoplanets (specifically the radius and mass) to create empirical
laws for the planetary radius, mean density, and surface gravity as a function
of mass. The method used is to calculate with the available data, the mean
density and surface gravity for the planets and adjusts, using the least
squares method, a function with respect to the radius-mass, density-mass and
surface gravity-mass relations. In the mass interval from 10E19 to 10E29 kg,
the planets separate in a natural way into three groups or classes which I
called class A, class B and class C. In all these classes and with all the
functions (radius, median density and surface gravity) those best fits are
power laws.
View original:
http://arxiv.org/abs/1111.3986
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