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<H2><A NAME="SECTION001834000000000000000">
Selection criteria</A>
</H2>
An overall criterion for standard-star selection is the accuracy needed in the
final results:
if you need more accuracy, you will need more standard stars.
The program asks what accuracy you are trying to reach, and tries to select
enough stars to meet your request without being excessive.

<P>
To determine the extinction accurately, you must observe some ``extinction
stars'' at both high and low altitudes.
While it is possible to get a rough estimate of the extinction by observing
<I>different</I>
standard stars at high and low airmasses, the relatively large conformity
errors in most photometric systems, together with the low accuracy of some
standards, make this method very inefficient (see
Young&nbsp;[<A
 HREF="node307.html#Y74">10</A>], p.178).
The practical problem is that the extinction coefficient can change
considerably in the few hours needed for an extinction star to move from low to
high airmass (or vice versa).
To minimize this problem, the program selects stars that traverse a large range
in airmass in the shortest possible time; these are stars that pass near your
zenith.
Furthermore, it asks you
to observe extinction stars that are both rising and setting, to
avoid a correlation of airmass with time.

<P>
However, the airmass changes slowly when stars are near the zenith.
But to separate extinction drift from instrumental drift, you must
observe a wide range in air masses in a short period of time.
Therefore, the program selects times when the extinction stars cross an
almucantar a little removed from the zenith, rather than when they are on the
meridian.
This almucantar typically corresponds to about 1.1 airmasses.
The times of these crossings are denoted by <TT>'EAST'</TT> and <TT>'WEST'</TT>
in the output of the planner.
To optimize the precision of the extinction determination, the low-altitude
observations are placed at about <IMG
 WIDTH="38" HEIGHT="22" ALIGN="BOTTOM" BORDER="0"
 SRC="img554.gif"
 ALT="$25^\circ$">
altitude, near 2.36 airmasses.
Those scheduled observations are denoted as <TT>'RISING'</TT> and <TT>'SETTING'</TT>.

<P>
Furthermore, to track changes in the extinction accurately, you need an
extinction measurement (i.e., an observation of an extinction star at large
airmass) two or three times per hour.
This means that the stars used must be in the right places in the sky to
be at large airmasses when you need them.
In particular, although the Cousins E-region standards are excellent
secondary standards for <I>transformation</I> purposes, Southern-Hemisphere
observers should augment them with <I>extinction</I> stars more evenly
distributed on the sky.

<P>
Obviously, standard stars used for the transformation from instrumental to
standard system can also be used for the transformation from inside to outside
the atmosphere (traditionally called ``extinction correction'').
To minimize the number of calibration observations, the planning program makes
standard stars do double duty as extinction stars.
These stars should be bright enough that their photon noise is negligible;
the proper magnitude range depends on telescope size and the bandwidth of
the filter system used.
On large telescopes, bright stars are <I>too</I> bright, especially if you are
doing pulse counting.

<P>
Finally, the standard stars must have a good distribution in each of the
color indices of the system you are using.
Because transformations are generally non-linear ([<A
 HREF="node307.html#BN89">1</A>], [<A
 HREF="node307.html#Y92">29</A>]),
a wide range of each color
should be covered rather uniformly; it is <I>not</I>
enough to observe a few very red
and a few very blue stars.
All these requirements impose constraints on the selection of standard
stars.

<P>
Notice that, in using standard stars to measure extinction, we need
not use the standard values transformed to the instrumental system
(though this is possible).
Instead, we use the actual observed instrumental values for these stars, which
are considerably more accurate than standard values transformed to the
instrumental system (cf. p.184 of [<A
 HREF="node307.html#Y74">10</A>]),
because of conformity errors&nbsp;[<A
 HREF="node307.html#MS92">16</A>].
We observe standards at both large and small airmasses, and determine the
extinction directly from these observations.
This matter is discussed more fully in connection with the reduction
program (see below).

<P>
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<ADDRESS>
<I>Petra Nass</I>
<BR><I>1999-06-15</I>
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