What are the two modification made by Newton to Kepler's law?

Answer 1

ok, this is not Chinese if you read slowly.

Newton made two modifications to Kepler's laws. One modification to his first law and the second to his third.

First; according to Newton's third law, a planet does not orbit the exact center of the sun. Both the planet and the sun orbit their average position determined by their overall matter (center of mass), not the middle point! Because both the sun and the planet are controlled by equal gravity, the sun also moves. Kepler's first law becomes; the orbit of a planet around the sun is an ellipse, with the planet- sun system center of mass at one focus. think of it like this... if you and you friend (your both the same size) are each at one side of a seesaw, then the seesaw is like a straight line. now a third friend comes and seat on you...for the seesaw to still be in a straight line, the center of mass or the pole of the seesaw will have to move closer to you.

get it? Kepler's first law sais; the orbit of a planet around the sun is an ellipse (a flat circle). Newton just added to it so the law would now be; the orbit of a planet around the sun is an ellipse, with the center of mass of the planet and the sun system at one focus( one edge of the orbit's circle radius).

Kepler's third law; Newton added "combined mass" of the two planets to Kepler's formula of measuring a planet's time to orbit the sun. The new formula is (earth years)2 = (seminar axis)3 / (combined mass of the two planets).

sooo.... Kepler's third law befor Newon was; (earth years)2 / (seminar axis)3. seminar axis is like half of the line between the two starswhen its the longest.

hope i helped!!

Answer 2

1) Newton made two modifications to Kepler's laws. One modification to his first and the second to his third. First; according to Newton's third law, a planet does not orbit the exact center of the sun. Both the planet and the sun orbit their average position determined by their overall matter (center of mass). Because both the sun and the planet are controlled by equal gravity, the sun also moves. Kepler's first law becomes; the orbit of a planet around the sun is an ellipse, with the planet- sun system center of mass at one focus. Modification to third law; Newton added "combined mass" of the two planets to Kepler's formula of measuring a planet's time to orbit the sun. The new formula is (earth years)2 = (seminar axis)3 / (combined mass of the two planets).