*Astron. Astrophys. 343, 325-332 (1999)*
## 2. Stationary and axisymmetric field
In Euclidean space and in ellipsoidal coordinates
, related to the Cartesian
coordinates by
the kinetic energy of a particle of mass *m* is
where *a* is a non-negative constant of the dimension of
length and the dot denotes differentiation with respect to the time
parameter (normalized so that the
momentum is ). The motion of the
particle in a stationary axisymmetric potential
is described by equations
where we denote, for example,
© European Southern Observatory (ESO) 1999
Online publication: March 1, 1999
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