7.1 Introduction
In 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 Program
The 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 Systems
The 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 Time
Exceptionally 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 Required
A 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 Regime
At 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 Requirements
Near 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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