Question

A planet of mass $M$ moves along a circle around the Sun with velocity $v=34.9km/s$ (relative to the heliocentric reference frame). Find the period of revolution of this planet around the Sun in days

• A. $225$
• B. $220$
• C. $224$
• D. None of these

Answer 1

The correct option is A $225$

Here, $\frac{M{v}^2}{r}=\frac{\gamma M{m}_s}{r^2}\Rightarrow r=\frac{\gamma m_s}{v^2}$

So, $\omega =v/r=\frac{v^3}{\gamma v_s}$

$\Rightarrow T=2\pi \gamma m_s/v^3=1.94\times {10}^{7}sec\approx 225days$