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25 April 2024
 
  » arxiv » 1301.4720

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The planetary spin and rotation period: A modern approach
A. I. Arbab ; Saadia E. Salih ; Sultan H. Hassan ; Ahmed Agali ; Husam Abubaker ;
Date 17 Jan 2013
AbstractUsing a new approach, we have obtained a formula for calculating the rotation period and radius of planets. In the ordinary gravitomagnetism the gravitational spin ($S$) orbit ($L$) coupling, $vec{L}cdotvec{S}propto L^2$, while our model predicts that $vec{L}cdotvec{S}propto frac{m}{M} L^2$, where $M$ and $m$ are the central and orbiting masses, respectively. Hence, planets during their evolution exchange $L$ and $S$ until they reach a final stability at which $mSpropto ML$. Rotational properties of our planetary system, binary pulsars and exoplanets are in agreement with our predictions. The radius ($R$) and rotational period ($D$) of tidally locked planet at a distance $a$ from its star, are related by, $D^2propto sqrt{frac{M}{m^3}} R^3$ and that $Rpropto sqrt{frac{m}{M}} a$.
Source arXiv, 1301.4720
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