**AAS 198th Meeting, June 2001**

*Session 37. Gravitational Lenses, Relativistic Astrophysics*

Display, Tuesday, June 5, 2001, 10:00am-6:30pm, Exhibit Hall
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## [37.01] Gravitational Lensing by Elliptical Potentials

*C. Hunter (FSU), N.W. Evans (Oxford)*

We present analytical results for the four and five image
systems produced by lenses for which the lensing potential
is of power-law form and is stratified on similar concentric
ellipses. There may or may not be a central core. We
evaluate sums of the signed magnifications, and sums of the
products of the signed magnifications with positive and/or
negative powers of the position coordinates of the images.
All are expressed in terms of the parameters of the
potential, a constant external shear, and the position of
the source. Because all of these sums can be constructed
from observables, our analytical results can be applied to
data to discover if they are consistent with our models,
and, if so, to estimate the model parameters. Some such
applications are discussed.

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