{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

mgf1107lecture29

# mgf1107lecture29 - MGF 1107 EXPLORATIONS IN MATHEMATICS...

This preview shows pages 1–2. Sign up to view the full content.

MGF 1107 – EXPLORATIONS IN MATHEMATICS LECTURE 29 Henri Poincaré At the turn of the 20 th century, Henri Poincaré (1854-1912) was considered to be the finest living mathematician. One of the last to specialize in virtually every known branch of the subject, both pure and applied, he became a professor at the Sorbonne (Paris) in 1881, and wrote over 500 papers and 30 books. One of the famous problems he considered was the three-body problem . Newton’s laws of motion imply that to fully describe the motion of two bodies that interact solely with each other, for example a planet and its moon, we need to know the position and the velocity based on their initial values. There are six equations that need to be solved. A natural extension of Newton’s work was to try and determine what happens when there are three bodies that act upon each other due to gravity such as the sun, the earth, and the moon. However in this case we need to know the position and velocity of each body, and there are 18 equations to solve. The three-body problem was considered by many of the great mathematicians, including Euler who made substantial progress, but by 1887 a solution had still not been found.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### 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