Newton and Kepler laws.pdf - Newton's law of universal gravitation and Kepler's third law In our earlier article\\Conic sections and Newton's law of

# Newton and Kepler laws.pdf - Newton's law of universal...

This preview shows page 1 - 3 out of 4 pages.

Newton's law of universal gravitation and Kepler's third law In our earlier article \Conic sections and Newton's law of gravity," we brie y mentioned that Newton's law of gravity properly explains Kepler's rst law. In this article, we will see how it can explain Kepler's third law. Newton's law of gravity asserts that there are universal attractive force between any two massive bodies. If the mass of each body is m 1 and m 2 , and the distance between them r , the force is given as follows: F = Gm 1 m 2 r 2 (1) Here G is a proportionality constant called \Newton's constant." Notice also that this is the force that the rst object attracts the second object as much as the force that the second object attracts the rst object in light of Newton's third law. This force is responsible for
objects on Earth such as apples falling downward. On the other hand, the apples attract the Earth by the same amount of force, but this attraction is practically negligible since Earth is

#### You've reached the end of your free preview.

Want to read all 4 pages?

• Fall '10
• noris

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern