S E Godfrey and G E Prince 1991 J. Phys. A: Math. Gen. 24 5465 doi:10.1088/0305-4470/24/23/013
S E Godfrey and G E Prince
Show affiliationsUsing a new reduction of order technique the authors obtain four conserved quantities of the classical planar Kepler problem via the symmetries of the equations of motion and an extra vector field. By passing to a suitable quotient manifold of the evolution space they deduce that negative energy orbits are closed and periodic, without having to solve the differential equation.
70G65 Symmetries, Lie-group and Lie-algebra methods
Issue 23 (7 December 1991)
S E Godfrey and G E Prince 1991 J. Phys. A: Math. Gen. 24 5465
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