5,967 research outputs found
A Modified Magnitude System that Produces Well-Behaved Magnitudes, Colors, and Errors Even for Low Signal-to-Noise Ratio Measurements
We describe a modification of the usual definition of astronomical
magnitudes, replacing the usual logarithm with an inverse hyperbolic sine
function; we call these modified magnitudes `asinh magnitudes'. For objects
detected at signal-to-noise ratios of greater than about five, our modified
definition is essentially identical to the traditional one; for fainter objects
(including those with a formally negative flux) our definition is well behaved,
tending to a definite value with finite errors as the flux goes to zero.
This new definition is especially useful when considering the colors of faint
objects, as the difference of two `asinh' magnitudes measures the usual flux
ratio for bright objects, while avoiding the problems caused by dividing two
very uncertain values for faint objects.
The Sloan Digital Sky Survey (SDSS) data products will use this scheme to
express all magnitudes in their catalogs.Comment: 11 pages, including 3 postscript figures. Submitted to A
Constraining Large Scale Structure Theories with the Cosmic Background Radiation
We review the relevant 10+ parameters associated with inflation and matter
content; the relation between LSS and primary and secondary CMB anisotropy
probes; COBE constraints on energy injection; current anisotropy band-powers
which strongly support the gravitational instability theory and suggest the
universe could not have reionized too early. We use Bayesian analysis methods
to determine what current CMB and CMB+LSS data imply for inflation-based
Gaussian fluctuations in tilted CDM, hCDM and oCDM model
sequences with age 11-15 Gyr, consisting of mixtures of baryons, cold (and
possibly hot) dark matter, vacuum energy, and curvature energy in open
cosmologies. For example, we find the slope of the initial spectrum is within
about 5% of the (preferred) scale invariant form when just the CMB data is
used, and for CDM when LSS data is combined with CMB; with both, a
nonzero value of is strongly preferred ( for a 13
Gyr sequence, similar to the value from SNIa). The CDM sequence prefers
, but is overall much less likely than the flat
sequence with CMB+LSS. We also review the rosy forecasts
of angular power spectra and parameter estimates from future balloon and
satellite experiments when foreground and systematic effects are ignored.Comment: 20 pages, LaTeX, 5 figures, 2 tables, uses rspublic.sty To appear in
Philosophical Transactions of the Royal Society of London A, 1998.
"Discussion Meeting on Large Scale Structure in the Universe," Royal Society,
London, March 1998. Text and colour figures also available at
ftp://ftp.cita.utoronto.ca/bond/roysoc9
Photometric Response Functions of the SDSS Imager
The monochromatic illumination system is constructed to carry out in situ
measurements of the response function of the mosaicked CCD imager used in the
Sloan Digital Sky Survey (SDSS). The system is outlined and the results of the
measurements, mostly during the first 6 years of the SDSS, are described. We
present the reference response functions for the five colour passbands derived
from these measurements, and discuss column to column variations and variations
in time, and also their effects on photometry. We also discuss the effect
arising from various, slightly different response functions of the associated
detector systems that were used to give SDSS photometry. We show that the
calibration procedures of SDSS remove these variations reasonably well with the
resulting final errors from variant response functions being unlikely to be
larger than 0.01 mag for g, r, i, and z bands over the entire duration of the
survey. The considerable aging effect is uncovered in the u band, the response
function showing a 30% decrease in the throughput in the short wavelength side
during the survey years, which potentially causes a systematic error in
photometry. The aging effect is consistent with variation of the instrumental
sensitivity in u-band, which is calibrated out. The expected colour variation
is consistent with measured colour variation in the catalog of repeated
photometry. The colour variation is delta (u-g) ~ 0.01 for most stars, and at
most delta (u-g) ~ 0.02 mag for those with extreme colours. We verified in the
final catalogue that no systematic variations in excess of 0.01 mag are
detected in the photometry which can be ascribed to aging and/or seasonal
effects except for the secular u-g colour variation for stars with extreme
colours.Comment: 54 pages, 18 figures, 7 tables, accepted for publication in A
A LARGE-VOLUME RADIO-METRIC CALORIMETER
An isothermal heat-flow calorimeter with a sample chamber of 13-in. diameter and 14-in. length is described. The detection limit is about 1 mW and the precision for large samples is within a few tenths of a percent. A 96junction thermopile is used for the temperature measurement. (auth
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The evolution of clustering and bias in the galaxy distribution
This paper reviews the measurements of galaxy correlations at high redshifts,
and discusses how these may be understood in models of hierarchical
gravitational collapse. The clustering of galaxies at redshift one is much
weaker than at present, and this is consistent with the rate of growth of
structure expected in an open universe. If , this observation would
imply that bias increases at high redshift, in conflict with observed
values for known high- clusters. At redshift 3, the population of
Lyman-limit galaxies displays clustering which is of similar amplitude to that
seen today. This is most naturally understood if the Lyman-limit population is
a set of rare recently-formed objects. Knowing both the clustering and the
abundance of these objects, it is possible to deduce empirically the
fluctuation spectrum required on scales which cannot be measured today owing to
gravitational nonlinearities. Of existing physical models for the fluctuation
spectrum, the results are most closely matched by a low-density spatially flat
universe. This conclusion is reinforced by an empirical analysis of CMB
anisotropies, in which the present-day fluctuation spectrum is forced to have
the observed form. Open models are strongly disfavoured, leaving CDM
as the most successful simple model for structure formation.Comment: Invited review at the Royal Society Meeting `Large-scale structure in
the universe', London, March 1998. 20 Pages LaTe
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