Answer to Question #346870 in Astronomy | Astrophysics for Sugarplum

Question

The orbital time of Neptune around the Sun is 165 Earth years and its orbital path is 30 times longer than that of the Earth.

a Calculate the orbital speed of Neptune relative to the Earth. orbital speed b

State how the speed of travel of Neptune compares with that of the Earth.

Answer 1

$v_2=\frac{30\cdot 2\pi a}{T_2}=1.14~\frac{au}y,$

$v_1=\frac{2\pi a}{T_1}=6.28~\frac {au}y,$

$\frac{v_1}{v_2}=5.5.$