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Rudolph E. Schild

Publications and source records attributed to Rudolph E. Schild.

39 records · Page 3Linked to original sources

Hourly Variability in Q0957+561

We have continued our effort to re-reduce archival Q0957+561 brightness monitoring data and present results for 1629 R-band images using the methods for galaxy subtraction and seeing correction reported previously. The new dataset comes from 4 observing runs, several nights apiece, with sampling of typically 5 minutes, which allows the first measurement of the structure function for variations in the R-band from timescales of hours to years. Comparison of our reductions to previous reductions of the same data, and to r-band photometry produced at Apache Point Observatory shows good overall agreement. Two of the data runs, separated by 417 days, permit a sharpened value for the time delay of 417.4 days, valid only if the time delay is close to the now-fashionable 417-day value; our data do not constrain a delay if it is more than three days from this 417-day estimate. Our present results show no unambiguous signature of the daily microlensing, though a suggestive feature is found in the data. Both time delay measurement and microlensing searches suffer from from the lack of sampling at half-day offsets, inevitable at a single observatory, hence the need for round-the-clock monitoring with participation by multiple observatories.

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Theory and observations of galactic dark matter

Sir James Jeans's (1902 and 1929) linear, acoustic, theory of gravitational instability gives vast errors for the structure formation of the early universe. Gibson's (1996) nonlinear theory shows that nonacoustic density extrema produced by turbulence are gravitationally unstable at turbulent, viscous, or diffusive Schwarz scales L_ST, L_SV, L_SD, independent of Jeans's acoustic scale L_J. Structure formation began with decelerations of 10^46 kg protosuperclusters in the hot plasma epoch, 13,000 years after the Big Bang, when L_SV decreased to the Hubble (horizon) scale L_H equiv ct, where c is light speed and t is time, giving 10^42 kg protogalaxies just before the cooled plasma formed neutral H-He gas at 300,000 years. In 10^3 years this primordial gas condensed to 10^23 - 10^25 kg L_SV - L_ST scale objects, termed ``primordial fog particles'' (PFPs). Schild (1996) suggested from continuous microlensing of quasar Q0957 + 561 A,B that the mass of the 10^42 kg lens galaxy is dominated by 10^23 - 10^25 kg ``rogue planets ... likely to be the missing mass''. A microlensing event seen at three observatories confirms Schild's (1996) claims, and supports Gibson's (1996) prediction that PFPs comprise most of the dark matter at galactic scales.

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Precision Photometry for Q0957+561 Images A and B

Since the persuasive determination of the time-delay in Q0957+561, much interest has centered around shifting and subtracting the A and B light-curves to look for residuals due to microlensing. Solar mass objects in the lens galaxy produce variations on timescales of decades, with amplitudes of a few tenths of a magnitude, but MACHO's (with masses of order $10^{-3}$ to $10^{-7}M_\odot$) produce variations at only the 5% level. To detect such small variations, highly precise photometry is required. To that end, we have used 200 observations over three nights to examine the effects of seeing on the light-curves. We have determined that seeing itself can be responsible for correlated 5% variations in the light-curves of A and B. We have found, however, that these effects can be accurately removed, by subtracting the light from the lens galaxy, and by correcting for cross contamination of light between the closely juxtaposed A and B images. We find that these corrections improve the variations due to seeing from 5% to a level only marginally detectable over photon shot noise (0.5%).

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