Statistics – Computation
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.215..639z&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 215, Aug. 15, 1985, p. 639-657.
Statistics
Computation
9
Galaxies, Gravitational Lenses, Quasars, Density Distribution, Energy Conservation, Magnitude, Mass Distribution
Scientific paper
A simple method is presented for the computation of the excess of quasars that is produced by lensing, using realistic number-magnitude counts. This excess is linear in the total mass of the galaxy. In order to detect such an excess in, for example, a correlation analysis between quasars and galaxy positions, a sample of at least 100,000, or, more likely, 1,000,000 galaxies, is required; while the number of required quasars is in the 10,000-100,000 range. Attention is given to the problem of energy conservation, and it is shown that an energy-conserving lens model measures the effect (on quasar surface density of fluctuations) of the amplification around the mean, which is due to the discrete nature of the mass distribution in galaxies. In quasar samples with a limiting magnitude greater than 19, the effect of stars is totally unimportant by comparison with the influence of the galaxy potential well.
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