Understanding Kepler's Second Law of Motion

[logearav]

Homework Statement

Kepler's second law states that " The line joining the planet and the sun sweeps out equal areas in equal times"

Homework Equations

Please refer the attachment i have given

The Attempt at a Solution

Does this mean the area of the triangle on the left is equal to the area of the triangle on the right? I interpret in this way, i.e., when planet takes 5 hours ( say) to move from A to B it sweeps out the area given in red lines and when it moves from the position C, after 5 hrs, it reaches the position D, so according to Kepler's law the area swept out when planet moves from C to D is same as A To D. Am i right, revered members? correct me if i am wrong.

 

[phyzguy]

You are interpreting it correctly. Remember that the areas in red and green are not exactly triangles, since the orbit is curved. Aside from this, your statements are correct.

 

[logearav]

Thanks for the reply phyzguy