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  7.1 IntroductionIn this chapter, we assess the instrumental requirements (telescopes,
        mosaics of CCD chips, computers, etc.) imposed by the observing
        strategy and follow-up research outlined in Chapters 5 and 6,
        and we comment on observational techniques and observing network
        operation. In order to cover the requisite volume of search space,
        the survey must achieve a stellar magnitude limit of at least
        V = 22, dictating telescopes of 2-3 m aperture equipped with
        CCD detectors. The most efficient use of CCD detectors is achieved
        if the pixel size is matched to the apparent stellar image size
        of about 1 arcsec, thus defining the effective focal length for
        the telescopes at about 5 m. The area of sky to be searched is
        about 6,000 square degrees per month, centered on opposition,
        and extending to +/- 30 deg in celestial longitude and +/- 60
        deg celestial latitude. These considerations lead us to a requirement
        for multiple telescopes with moderately wide fields of view (at
        least 2 degrees) and mosaics of large-format CCD detectors. We
        develop these ideas in this chapter to derive a proposed search
        program. This program is not unique (that is, an equivalent result
        could be obtained with other appropriate choices of telescope
        optics, focal-plane detectors, and locations), but it is representative
        of the type of international network required to carry out our
        proposed survey.      
   7.2 Lessons From the Spacewatch ProgramThe Spacewatch Telescope, operated at the University of Arizona
        (see Chapters 3 and 4), is the first telescope and digital detector
        system devised to carry out a semi-automated search for NEOs.
        As such, the lessons learned from its development and operation
        are invaluable when considering a future generation of scanning
        instruments. The Spacewatch system comprises a single 2048x2048-pixel
        CCD chip at the f/5 Newtonian focus of an equatorially mounted
        0.91-m telescope. Each pixel covers 1.2 x .2 arcsec on the sky.
        With the telescope drive turned off, the camera scans the sky
        at the sidereal rate, and achieves detection of celestial bodies
        to a limiting magnitude V = 20.5. One of the important demonstrations provided by the Spacewatch
        Telescope team is that image-recognition algorithms such as their
        Moving Object Detection Program (MODP) are successful in making
        near-real-time discoveries of moving objects (asteroids and comets).
        False detections are almost eliminated by comparing images from
        three scans obtained one after the other. At present, the Spacewatch
        system makes detections by virtue of the signal present in individual
        pixels. With the incorporation of higher-speed computers, near-real
        time comparison of individual pixels to measure actual image
        profiles would lead to a great reduction in the most frequent
        sources of noise, cosmic ray hits and spurious electrical noise
        events. In light of the successful performance of Spacewatch, we have
        rejected a photographic survey. Even though sufficiently deep
        exposures and rapid areal coverage could be attained to fulfill
        the survey requirements using a small number of meter-class Schmidt
        telescopes (similar to the Oschin and U.K. Schmidts), there is
        no feasible way, either by visual inspection or digitization
        of the films, to identify and measure the images in step with
        the search. A photographic survey would fail for lack of adequate
        data reduction and follow-up. Future developments in electronics
        and data processing will further enhance the advantages of digital
        searches over the older analog methods using photography.      
  7.3 Detector and Telescope SystemsThe largest CCD chips readily available today contain 2048x2048
        pixels, each about 25 micrometers on a side. Thus, the chips
        are about 5x5 cm in size. Quantum efficiencies have attained
        a peak near 80 percent, and useful sensitivity is achievable
        from the near-ultraviolet to the near-infrared. To reach a limiting
        stellar magnitude of V = 22, we require the use of these CCDs
        at the focal plane of a telescope with an aperture of 2 m or
        larger, operated during the half of the month when no bright
        moonlight is present in the sky (from last quarter to first quarter
        phase). In the coming decade, we envisage a trend toward smaller and
        more numerous CCD pixels covering the same maximum chip area
        as at present. No great increase in spectral sensitivity can
        be expected. At the telescope, the pixel scale must be matched
        to the image scale (the apparent angular size of a stellar image)
        in good or adequate atmospheric (seeing) conditions. In what
        follows, we assume a pixel scale of 1 arcsec/pixel (25-micrometer/arcsec,
        or 40 arcsec/mm), which implies a telescope of 5.2-m focal length.
        For a telescope of 2 m aperture, the focal ratio is f/2.6; for
        a 2.5-m, f/2.1; and for a 3-m, f/1.7. A single 2048x2048 CCD chip simultaneously detects the signals
        from more than 4 million individual pixels. This is a very powerful
        data-gathering device, but it still falls short of the requirements
        for wide-field scanning imposed by the proposed NEO survey. At
        the prime focus of a telescope of 5.2 m focal length, such a
        CCD covers a field of view on the sky about one half degree on
        a side. However, we wish to scan an area at least 2 degrees across.
        Therefore, we require that several CCD chips be mounted together
        (mosaicked) in the focal plane. The mosaicking of CCD chips is
        not a simple process, but it is one that is being vigorously
        pursued today by astronomers. At Princeton University, for example,
        a focal plane with 32 CCDs is under development. Mosaicking of
        4 to 10 CCD chips into a single focal plane should not be a problem
        for the proposed survey telescopes by the time they are ready
        to receive their detector systems. Studies and planning are underway at the University of Arizona
        for a modern 1.8-m Spacewatch telescope. The new telescope will
        be an excellent instrument to test and develop some of the necessary
        instrumental and strategic considerations outlined in this report.
        From the Spacewatch design considerations, it is safe to assume
        that 2- to 3-m-class telescopes can be built having focal lengths
        near 5 m and usable fields of view between 2 and 3 deg. Refractive-optics
        field correction is probably required, and it appears advantageous
        to locate CCD mosaics at the prime focus of such instruments.
        Here, we indicate telescope functional requirements but do not
        exactly specify the size or design of the proposed survey telescopes.      
  7.4 Magnitude Limit and Observing TimeExceptionally fine astronomical sites have more than 1,000
        hr/yr of clear, moonless observing conditions, during most of
        which good to adequate seeing prevails. More typically, 700 hr/yr
        of observing time is usable. We assume that a region of 6,000
        square degrees is to be searched each month and that initial
        NEO detection is made by two or three scans on the first night.
        Parallactic information is derived by four scans on a subsequent
        night, and an orbit is calculated from observations on a third
        night. Thus, nine or more scans of the search region are needed
        each month. In a given month, follow-up will be attempted for
        some of the NEOs that have moved out of the search region (mainly
        to the west). As a working value, we assume that 40 hr/month/telescope
        are available for searching. The limiting (faintest) stellar magnitude that can be observed
        by a telescope can be determined as a function of the ratio of
        the source brightness to that of the sky, the number of pixels
        occupied by a star image, the pixel area, the light-collecting
        area of the telescope, and the effective integration time (Rabinowitz
        1991). For certain detection, the source brightness must be at
        least six times that of the sky noise. We have normalized to
        the performance of the Spacewatch Telescope, which achieves a
        stellar limit of V = 20.5 using an unfiltered 165-s scan at sidereal
        rate, and we have allowed for an improvement over the performance
        of that system arising from improved detector quantum efficiency
        and improved image-recognition algorithms. We find for the survey
        telescopes that a single CCD should be able to achieve the survey
        requirement of V = 22 with the following combinations of telescope
        aperture and scan speed: 
 
 
 
          
            | Primary Diameter (m) | Exposure Time (s) | Scan Rate (x sidereal) |  
            | 2.0 | 21 | 6 |  
            | 2.5 | 14 | 10 |  
            | 3.0 | 10 | 14 |         
  7.5 Number of CCD Chips and Telescopes RequiredA single 2048x2048-pixel CCD chip, having an image scale of
        1 arcsec/pixel, can scan at0.14 square degrees per minute at
        the sidereal rate. If 40 hr/month/telescope can be allotted to
        searching for NEOs over 6,000 square degrees to a limiting stellar
        magnitude of V = 22, and ten scans per sky region are required
        for detection and rough orbital characterization of an NEO, then
        telescopes of the apertures considered above have the following
        performance capabilities: 
 
 
          
            | Primary Diameter (m) | Exposure Time (s) | Scan Rate (x sidereal) |  
            | 2.0 | 260 | 28 |  
            | 2.5 | 420 | 18 |  
            | 3.0 | 500 | 13 |  In computing values for the total number of CCD chips required
        in the worldwide network of telescopes we assume that no two
        CCD chips together scan the same region of the sky. These are
        minimum requirements for the telescopes; in practice more scans
        may be needed for reliable automatic detection, and probably
        there will be some overlap of coverage between telescopes. Searching to +/- 60 deg celestial latitude implies sky coverage,
        over the course of a year, at almost all declinations. Thus telescopes
        must be located in both hemispheres. Usable fields of view of
        between 2 and 3 deg probably limit the number of CCD chips in
        a telescope's focal plane to about ten at the scales we have
        been considering. However, real-time image processing is simplified
        if each chip independently samples the sky. Most likely, four
        CCDs chips/telescope can be accommodated in a linear array in
        the focal plane. Thus, it appears that seven 2.0-m telescopes,
        five 2.5-m telescopes, or four 3-m telescopes suffice to fulfill
        the search, follow-up, and physical observations requirements
        of the idealized 6,000-square degree survey. Most likely, there
        would remain extra observational capability to enhance the detection
        rates of Atens and LPCs by scanning a few times per month outside
        the standard region. We note that each telescope must be equipped
        with a minimum of four 2048x2048 CCD chips or their equivalent
        in light-collecting ability. If space remains in the focal plane,
        additional filtered CCD chips could be inserted to undertake
        colorimetry, which would give a first-order compositional characterization
        of some of the NEOs discovered while scanning. If a single-point failure due to weather or other adverse
        factors is not to hamper effective operation of the survey network,
        we conclude that three telescopes are required in each hemisphere.
        With fewer telescopes, orbital, and perhaps parallactic, information
        on NEOs would be sacrificed. The desirability of searching near
        the celestial poles calls for at least one telescope at moderate
        latitude in each hemisphere. In summary, we propose a network
        of six 2-m or larger telescopes distributed in longitude and
        at various latitudes between, say, 20 deg and 40 deg north and
        south of the equator.      
   7.6 Scanning RegimeAt high declinations, scanning along small circles of declination
        results in curvature in the plane of the CCD chip, so star images
        do not trail along a single row of pixels. The problem can be
        avoided by scanning along a great circle. A good strategy would
        be to scan in great circles of which the ecliptic is a meridian
        (the pole being located on the ecliptic 90 deg from the Sun).
        Such scanning can be achieved using either equatorial or altazimuth
        telescope mounts, but is probably more easily and cheaply accomplished
        using an altazimuth mount. In either case, field rotation is
        required, as is currently routinely used at the Multiple-Mirror
        Telescope in Arizona and other installations. At the proposed 1.8-m Spacewatch telescope, it is planned
        to make three scans of each region of the sky (as is currently
        done at the 0.9-m Spacewatch telescope). Each scan would cover
        10 deg in 26 min, so the interval between the first and third
        scans is sufficiently long that objects moving as slowly as 1
        arcmin/day can be detected. For the proposed NEO survey, we envisage
        two or three longitudinal scans per sky region, about an hour
        apart. Thus, at a scan rate of 10 times sidereal, each scan could
        cover an entire strip of the 60-deg-wide search region, with
        a second search strip being interposed before the first was repeated.
        We assume that false positive detections, being somewhat rare,
        will not survive scrutiny on the second night of observation,
        and thus will not significantly corrupt the detection database.      
   7.7 Computer and Communications RequirementsNear real-time detection of faint NEOs requires that prodigious
        amounts of data processing be accomplished at the telescope.
        The image processing rate scales linearly with the number of
        objects (NEOs, stars, galaxies, noise, etc.) recorded per second.
        The number of objects detected per second (the "object rate"),
        and therefore computer requirements of the NEO survey outlined
        above, can be estimated from the current performance of the Spacewatch
        Telescope. The computer system in use at the Spacewatch Telescope
        can detect up to 10,000 objects in a 165-s exposure. Thus, its
        object rate is 60/sec. Scanning to V = 22 requires detection
        of about 30,000 objects/square degree. For an image scale of
        1 arcsec/pixel, using the scanning rates tabulated above, and
        allowing a ten-fold increase in computing requirements to perform
        real-time image profile analysis, we calculate the total network
        computer requirement to be 2,000 to 3,000 times that at the Spacewatch
        Telescope. Therefore at each of six telescopes, it would be 300
        to 500 times that at Spacewatch. Such requirements, although
        not easy to achieve, are possible using parallel processing with
        relatively modest modern workstations. There are at least three levels of observational data storage
        that can be envisaged: (1) preservation of image-parameter or
        pixel data only for the moving objects detected; (2) preservation
        of image-parameter or pixel data for all sources detected (mostly
        stars); (3) storage of all pixel data. The first option is clearly
        undesirable, because data for slow-moving NEOs mistaken as stars
        would be lost. The first two options have the disadvantage that
        there would be no way to search the database, after the event,
        for sources whose brightnesses are close to the limiting magnitude
        and that would therefore have been discarded. The third option---the
        most attractive scientifically---may appear to result in serious
        problems of data storage and retrieval. However, we anticipate
        that, using technology shortly to be available, the third option
        is tractable. On the order of one thousand NEOs and one million main-belt
        asteroids could be detected each month---about ten detections
        per second of observing time. Therefore, only moderate-speed
        data communication is needed between observing sites and a central-processing
        facility. Careful observational planning will be required to
        ensure efficient coverage of pre-programmed scan patterns, to
        avoid unintentional duplication of observations, to schedule
        the necessary parallactic and follow-up observations, and to
        optimize program changes so as to maintain robustness of the
        survey in response to shutdowns. Successful operation of this
        survey system will also require the coordination and orbital
        computation capabilities of a modern central data clearinghouse
        as described in Chapter 6. 
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