Showing math.DSShow all
2 papers · 1 filter
math.DS2024
The negative energy N-body problem has finite diameter
Richard Montgomery
The Jacobi-Maupertuis metric provides a reformulation of the classical N-body problem as a geodesic flow on an energy-dependent metric space denoted where is the energy o…
math.DS2023
The Kepler Cone, Maclaurin Duality and Jacobi-Maupertuis metrics
Richard Montgomery
The Kepler problem is the special case of the power law problem: to solve Newton's equations for a central force whose potential is of the form where is a coupl…