User:Crown/math

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$U={\sqrt {\frac {4\pi ^{2}a^{3}}{G(M_{1}+M_{2})}}}$

$U={\sqrt {\frac {4\pi ^{2}({13.3\cdot 10^{9}m})^{3}}{6.673\cdot 10^{-11}{\frac {m^{3}}{kg\cdot s^{2}}}(1.756\cdot 10^{28}kg+5.291\cdot 10^{22}kg)}}}$

${G}={\frac {4\pi ^{2}a^{3}}{U^{2}(M_{1}+M_{2})}}$

${G}={\frac {4\pi ^{2}({13.3\cdot 10^{9}m})^{3}}{(9203544.6sec)^{2}\cdot (1.756\cdot 10^{28}kg+5.291\cdot 10^{22}kg)}}$

$U^{2}={\frac {4\pi ^{2}a^{3}}{G(M_{1}+M_{2})}}$

$U^{2}{G(M_{1}+M_{2})}=4\pi ^{2}a^{3}$

$6.241\cdot 10^{-11}\left[{\frac {m^{3}}{kg\cdot sec^{2}}}\right]$