Imagine a line drawn from a planet to the Sun. As the planet orbits the Sun, the line moves through an angle (θ) of 360 degrees. The angular velocity (ω) of a planet is equal to 360° divided by the period (T) of the planet.
w = 360º/T
Suppose it takes V days for Venus to orbit the Sun and E days for Earth to orbit the Sun. Substitute these variables for T in the equation above to write expressions for the angular velocities of Venus and Earth:
venus:
earth:
