એક પદાર્થ સૂર્યની ફરતે પૃથ્વી કરતાં 27 ગણો

${\omega _{{\rm{body}}}} = 27{\omega _{{\rm{earth}}}}$

${T^2} \propto {r^3} $

$\Rightarrow {\omega ^2} \propto \frac{1}{{{r^3}}}$

$\Rightarrow \omega \propto \frac{1}{{{r^{3/2}}}}$

$r \propto \frac{1}{{{\omega ^{2/3}}}}$

$\frac{{{r_{{\rm{body}}}}}}{{{r_{{\rm{earth}}}}}} = {\left( {\frac{{{\omega _{{\rm{earth}}}}}}{{{\omega _{{\rm{body}}}}}}} \right)^{2/3}}$

$ = {\left( {\frac{1}{{27}}} \right)^{2/3}} = \frac{1}{9}$