The Kepler problem – old and new
陳國璋教授清華大學數學系 下午 3:30–5:00 鴻經館 107 室Abstract:
The Newtonian 2-body problem is also known as the Kepler problem in honor of Johannes Kepler (1571-1630) for his discovery of three laws of planetary motion, based on which Newton deduced in 1687 the celebrated law of universal gravitation. It is commonly considered a well-understood problem, as solving it with given initial data and proving Kepler's three laws require nothing more than tools from elementary calculus. In this talk I will briefly describe its history, and outline recent discoveries from variational perspectives.