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- Dec 3, 2019, 3:28:23 PM (7 years ago)
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trunk/doc/release.2015/ps1.calibration/calibration.tex
r41189 r41191 132 132 Type Ia supernovae to measure the history of the expansion of the 133 133 universe. The majority of the time (56\%) was spent on surveying the 134 $\frac{3}{4}$ of the sky north of $-30 \degree$Declination with134 $\frac{3}{4}$ of the sky north of $-30$\degree Declination with 135 135 \grizy\ filters in the so-called $3\pi$ Survey. Another $\sim 25\%$ 136 136 of the time was concentrated on repeated deep observations of 10 … … 1291 1291 analysis are static in time; they supplement the flats from the 1292 1292 ubercal analysis. A total of 1.95 billion measurements were 1293 extracted for this analysis. 1293 extracted for this analysis.} 1294 1294 1295 1295 We then used … … 2362 2362 \mu^{\rm sol}_{b} & = & \frac{(U \cos(l) + V \sin(l)) \sin(b) - W \cos(b)}{d} 2363 2363 \end{eqnarray} 2364 where $d$ is the distance and $l,b$ are the Galactic coordinates of the 2365 star. Note that the proper motion induced by 2366 the Galactic rotation is independent of distance while the reflex 2367 motion induced by the solar motion decreases with increasing 2368 distance. Also note that this model assumes a flat rotation curve for 2369 objects in the thin disk; any reference stars which are part of 2370 the halo population will have proper motions which are not 2371 described by this model; the mostly random nature of the halo motions 2372 should act to increase the noise in the measurement, but should not 2373 introduce detectable motion biases. Also, if the distance modulus is 2374 not well determined, we can assume the object is simply following the 2375 Galactic rotation curve and set a fixed proper motion. If we do not 2376 have a distance modulus from the Green et al analysis, we assume a 2377 value of 500pc. 2364 where $d$ is the distance and $l,b$ are the Galactic coordinates of 2365 the star. Note that the proper motion induced by the Galactic rotation 2366 is independent of distance while the reflex motion induced by the 2367 solar motion decreases with increasing distance. Also note that this 2368 model assumes a flat rotation curve for objects in the thin disk. Any 2369 reference stars which are part of the halo population will have proper 2370 motions which are not described by this model; the mostly random 2371 nature of the halo motions should act to increase the noise in the 2372 measurement, but should not introduce detectable motion biases. Also, 2373 if the distance modulus is not well determined, we can assume the 2374 object is simply following the Galactic rotation curve and set a fixed 2375 proper motion. If we do not have a distance modulus from the Green et 2376 al analysis, we assume a value of 500pc. 2377 2378 \note{find the improvement by using 2MASS -- in the PS1 DRAVG pages} 2378 2379 2379 2380 For the initial PV3 analysis, we again used the 2MASS coordinates as
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