3 papers
math-ph2004
Generalisations of the Laplace-Runge-Lenz vector
P. G. L. Leach, G. P. Flessas
The characteristic feature of the Kepler Problem is the existence of the so-called Laplace--Runge--Lenz vector which enables a very simple discussion of the properties of the orbit…
nlin.SI2002
Jacobi's last multiplier and the complete symmetry group of the Euler-Poinsot system
M. C. Nucci, P. G. L. Leach
The symmetry approach to the determination of Jacobi's last multiplier is inverted to provide a source of additional symmetries for the Euler-Poinsot system. These additional symme…
nlin.SI2002
Linearisable third order ordinary differential equations and generalised Sundman transformations
N. Euler, T. Wolf, P. G. L. Leach +1
We calculate in detail the conditions which allow the most general third order ordinary differential equation to be linearised in X'''(T)=0 under the transformation X(T)=F(x,t), dT…