컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0532 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Ordinary Differential Equations / Dynamical Systems (SS-10) |
| 영문제목 (Title(Eng.)) |
Three body problem and chaos |
| 저자(Author(s)) |
Ho Joong Lee1 Hong Ik University1 |
| 초록본문(Abstract) | Today, it is necessary to calculate orbits with high accuracy in space flight. The key word of Poincare in celestial mechanics is periodic solutions, invariant integrals, asymptotic solutions, characteristic exponents and the non existence of new singlevalued integrals. Poincar´e define an invariant integral of the system as the form which maintains a constant value at all time t, where the integration is taken over the arc of a curve and Yi are some functions of x, and extend 2 dimension and 3 dimension. Eigenvalues are classified as the form of trajectories, as corresponding to nodes, foci, saddle points and centre. In periodic solutions, the stability of periodic solutions is dependent the properties of their characteristic exponents. Poincar´e called bifurification that is the possibility of existence of chaotic orbit in planetary motion. Existence of near exceptional trajectories as Hadamard’s accounts, say that there are probabilistic orbit. In this context we study the eigenvalue problem in early 20 century in three body problem by analyzing the works of Darwin, Bruns, Gyld´en, Sundman, Hill, Liapunov, Birkhoff, painlev´e and Hadamard. |
| 분류기호 (MSC number(s)) |
01Axx |
| 키워드(Keyword(s)) | three body problem |
| 강연 형태 (Language of Session (Talk)) |
English |