Properties of Point Mass Lenses On A Regular Polygon and The Problem of Maximum Number of Images
S. Mao, A. O. Petters, H. J. Witt
Abstract
We study the critical curves, caustics, and multiple imaging due to one of the simplest many-body gravitational lens configurations: equal-mass point masses on the vertices of a regular polygon. Some examples of the critical curves and caustics are also displayed. We pose the problem of determining the maximum number of lensed images due to regular-polygon and general point mass configurations. Our numerical simulations suggest a maximum that is linear, rather than quadratic, in the number of point masses.
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