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From quasars to extraordinary N-body problems
1Institute of Astronomy, Cambridge, United Kingdom.
Annals of the New York Academy of Sciences
|June 29, 2002
Summary
Researchers explored the N-body problem
Area of Science:
- Astrophysics and Celestial Mechanics
Background:
- The N-body problem is a long-standing challenge in physics, tracing back to Newton.
- George Contopoulos's contributions are examined within this historical context.
Purpose of the Study:
- To connect the historical N-body problem to the theory of quasars.
- To identify new, exactly solvable N-body problems.
Main Methods:
- Investigating the historical development of the N-body problem.
- Applying Newton's principles to discover novel N-body problem solutions.
- Analyzing a unique pulsating system for statistical equilibrium.
Main Results:
- New exactly soluble N-body problems with multibody forces were identified.
- A peculiar, eternally pulsating system was described.
- This system was shown to reach statistical equilibrium in its other degrees of freedom.
Conclusions:
- The study provides insights into the theoretical underpinnings of quasars.
- It expands the scope of exactly soluble N-body problems.
- The findings offer a unique example of a system achieving statistical equilibrium.