Parameter degeneracy in models of the quadruple lens system Q2237+0305

Details Parameter degeneracy in models of the quadruple lens system Q2237+0305 Parameter degeneracy in models of the quadruple lens system Q2237+0305

1994-08-26

arxiv.org/abs/astro-ph/9408084v1

Astronomy and Astrophysics

Astrophysics

15 pages uuencoded compressed postscript text plus 4 postscript figures; MPI Astrophysik report MPA-821; to appear in Astronom

Scientific paper

10.1086/117144

The geometry of the quadruple lens system Q2237+0305 is modeled with a simple astigmatic lens: a power-law mass distribution: m \propto r^\beta with an external shear \gamma. The image positions can be reproduced with an accuracy better than 0.01 arcsec for any 0.0 < \beta < 1.85 and the corresponding value of \gamma = 0.1385 - 0.0689 \beta. This is a factor of about 4 more precise than what can be achieved by the best constant M/L lens models. The image intensity ratios and the time delay ratios are almost constant along our one parameter family of models, but the total magnification varies from 8 to > 1000, and the maximum time delay (between leading image B and trailing image C) for H_0 of 75 km/sec/Mpc varies from more than 20 hours to about 1.5 hours, while \beta increases from 0.0 to 1.85.

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