565 citations · 5.9k across the 83 of their papers we have counts for
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gr-qc2015★ 2 cited
The fate of Hamilton's Hodograph in Special and General Relativity
G. W. Gibbons
The hodograph of a non-relativistic particle motion in Euclidean space is the curve described by its momentum vector. For a general central orbit problem the hodograph is the inver…
gr-qc2015★ 93 cited
The Jacobi-metric for timelike geodesics in static spacetimes
G. W. Gibbons
It is shown that the free motion of massive particles moving in static spacetimes are given by the geodesics of an energy-dependent Riemannian metric on the spatial sections analog…