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Changeset 41191 for trunk


Ignore:
Timestamp:
Dec 3, 2019, 3:28:23 PM (7 years ago)
Author:
eugene
Message:

notes from Bertrand

File:
1 edited

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  • trunk/doc/release.2015/ps1.calibration/calibration.tex

    r41189 r41191  
    132132Type Ia supernovae to measure the history of the expansion of the
    133133universe.  The majority of the time (56\%) was spent on surveying the
    134 $\frac{3}{4}$ of the sky north of $-30\degree$ Declination with
     134$\frac{3}{4}$ of the sky north of $-30$\degree Declination with
    135135\grizy\ filters in the so-called $3\pi$ Survey.  Another $\sim 25\%$
    136136of the time was concentrated on repeated deep observations of 10
     
    12911291  analysis are static in time; they supplement the flats from the
    12921292  ubercal analysis.  A total of 1.95 billion measurements were
    1293   extracted for this analysis.
     1293  extracted for this analysis.}
    12941294
    12951295We then used
     
    23622362\mu^{\rm sol}_{b} & = & \frac{(U \cos(l) + V \sin(l)) \sin(b) - W \cos(b)}{d}
    23632363\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. 
     2364where $d$ is the distance and $l,b$ are the Galactic coordinates of
     2365the star. Note that the proper motion induced by the Galactic rotation
     2366is independent of distance while the reflex motion induced by the
     2367solar motion decreases with increasing distance.  Also note that this
     2368model assumes a flat rotation curve for objects in the thin disk.  Any
     2369reference stars which are part of the halo population will have proper
     2370motions which are not described by this model; the mostly random
     2371nature of the halo motions should act to increase the noise in the
     2372measurement, but should not introduce detectable motion biases.  Also,
     2373if the distance modulus is not well determined, we can assume the
     2374object is simply following the Galactic rotation curve and set a fixed
     2375proper motion.  If we do not have a distance modulus from the Green et
     2376al analysis, we assume a value of 500pc.
     2377
     2378\note{find the improvement by using 2MASS -- in the PS1 DRAVG pages}
    23782379
    23792380For the initial PV3 analysis, we again used the 2MASS coordinates as
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