Calculus of variations

Poincar´ made the first attempt in 1896 on applying variational calculus e to the three-body problem and observed that collision orbits do not necessarily have higher values of action than classical solutions. Little progress had been made on resolving this difficulty until a recent breakthrough by Chenciner and Montgomery. Afterward, variational methods were successfully applied to the N -body problem to construct new classes of solutions.

25p dontetvui 17-01-2013 38 6   Download