Out of aphelion and perihelion, where is the speed of the earth more and why?
Hint: Use Kepler's laws of planetary motion.
Step 1: Find the location of the earth at the aphelion and at the perihelion.
Aphelion is the location of the earth where it is at the greatest distance from the sun and perihelion is the location of the earth where it is at the nearest distance from the sun.
Step 2: Find the areal velocity of the earth.
The areal velocity of the earth around the sun, , is constant (Kepler's 2nd law).
Therefore, the speed of the earth is more at the perihelion than at the aphelion.
