Subject: existence proof of design reference mission
From: Jeremy Mould
Submitted: Mon, 28 Apr 2003 05:53:37 -0700
Message number: 129
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>The next email supplies the postscript plot which accompanies this message.
>Here's a model which can serve as an existence proof of a DRM. And a plot of a
>limiting magnitude distribution function, where each curve is the number of steradians
>whose limiting magnitude is shallower than the abscissa.
>
>Strawman DRM
>We assume a visit is 30 seconds and consists of a red and alternate filter observation.
>Each field is visited 5 times per month in clear weather and 5 times per month in cloudy
>weather. No explicit allowance for moon.
>In year n, only fields with RA = m hours + n*6 minutes are observed for 0<n<10 and
>0<m<24.
>Each declination strip gets equal time, starting at (-/+)30 degrees declination and
>going to (+/-)90 degrees.
>30 seconds is the total visit time and yields one limiting magnitude
>image of r = 24 and one of b = 24, where b is one of two alternate filters.
>8 hour nights occur all year long.
>Limiting magnitude is independent of zenith distance or seeing.
>
>Preliminary Conclusions
>A 10 year DRM does exist which would meet the rough scientific
>requirements, provided alternate filters don't have to exceed 26.5 over
>large areas of sky.
>If the number of alternate filters were doubled, the blue and green curves would move
>bodily to the left by 0.375 mag.
>If the single visit limiting blue mag were only 23 in the time the limiting red mag is 24, the blue curve moves to the left by 1 mag.
>
>This existence proof DRM only looks at ~1 sr per year. But that violates no
>current requirement. If it became a requirement to look at 10 sr per year,
>it would be easy to hybridize the all-sky/year and repeat-often strategy
>and still end up with the plot provided here. Zeljko's cadence, in which
>one of the 5 visits per month is same night, would probably not change
>the plot.
>
>It is also not hard to imagine observing strategies which change the shapes of these curves significantly.
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