Question

A polar satellite has a period $T_P$ while earth turns around its axis in a period of $T_E$. Neglecting orbital motion, the angular shift of satellite orbit per revolution relative to earth (in rad) is $(Given{T}_P=2T_E)$[Take $\pi =3.14$][Answer upto two decimal places]

Answer 1

The orbit of polar satellite is fixed.
One revolution of polar satellite takes time $T_P$.
During this time the earth rotates by,
$\theta ={\omega }_e\times T_P=\frac{2\pi }{T_E}{T}_P=4\pi =\mathrm{12.56.}$
Therefore relative to the earth, the axis of polar satellite rotates by 12.56 $rad$.