LC3 Summative

According to Keplers 3rd Law, the orbits period "p" squared is proportional to the average distance from the sun (a) cubed. *Math.* Therefore, as the period increases, the distance from the sun increases as well.

How does increasing OR decreasing "a" impact "p" (Kepler's third Law). Use math reasoning.

F = force of gravity M1 and M2 are the masses of the two planetary bodies involved. r = the distance between the two planetary bodies Therefore, if you increase the distance, the planet will obviously be further from the sun. According to keplers second law, a planet moves slower when farther from the sun, thus making its orbit longer

Newton's Law of Universal Gravitation

According to keplers 2nd law, the planet's velocity is highest when closest to the sun, and lowest when farthest from the sun. According to Newton's Law of Universal Gravitation, F =

Where is a planet's velocity highest or lowest based on Kepler's 2nd Law and Newton's law of Universal Gravitation.