Calculation of mean density of solar planets by modified savich-kashanin method

Abstract

Savich and Kashanin in 1960-Ties developed a mathematical model to calculate the mean density of solar planets. The model used van der Waals (vdW) equation of state for real gases, from which it follows that the volume of a substance at absolute zero temperature (V0) is one third of volume at critical point (Vj, i.e. V0=Vc/3. However, empirical data published more recently confirmed that V0=Vc/4. Using this empirical fact we modified mathematical model of Savich and Kashanin thus enabling the more correct calculation of planet's mean densities.