Physics

Problem

Titan orbits Saturn once every 15.9 days in a nearly circular path of radius

1.22\times10^{6}\,\text{km}

. Using these data, determine the numerical value of the constant

k

(in SI units) that relates

T^{2}

and

a^{3}

for satellites of Saturn. a)

2.6\times10^{-17}\,\text{s}^{2}\,\text{m}^{-3}

1.0\times10^{-12}\,\text{s}^{2}\,\text{m}^{-3}

1.0\times10^{-15}\,\text{s}^{2}\,\text{m}^{-3}

1.8\times10^{-18}\,\text{s}^{2}\,\text{m}^{-3}