Archivo: SolarSystem Radii and Period

Descripción: Log-log chart showing relation period and radius of planets in the solar system. From the graph it can be deduced that log10⁡T=32log10⁡R+c{\displaystyle \log _{10}T={\frac {3}{2}}\log _{10}R+c} where c{\displaystyle c} is a constant and R{\displaystyle R} and T{\displaystyle T} are shown on the chart. This can be rearranged to give T2=kR3{\displaystyle T^{2}=kR^{3}} where k{\displaystyle k} is a constant By equating centripetal force and gravitiational force, it can be shown that T2=4π2GMR3{\displaystyle T^{2}={\frac {4\pi ^{2}}{GM}}R^{3}} where G{\displaystyle G} is the universal gravitational constant and M{\displaystyle M} is the mass of the sun thereby giving a theoretical expression for k{\displaystyle k}.
Título: SolarSystem Radii and Period
Créditos: Trabajo propio
Autor(a): Martinvl
Términos de Uso: Creative Commons Attribution-Share Alike 4.0
Licencia: CC BY-SA 4.0
Enlace de Licencia: https://creativecommons.org/licenses/by-sa/4.0
¿Se exige la atribución?: Sí