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PHYSICAL PARAMETERS OF ASTEROIDS ESTIMATED FROM THE WISE 3-BAND DATA AND NEOWISE POST-CRYOGENIC SURVEY

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Published 2012 November 2 © 2012. The American Astronomical Society. All rights reserved.
, , Citation A. Mainzer et al 2012 ApJL 760 L12 DOI 10.1088/2041-8205/760/1/L12

2041-8205/760/1/L12

ABSTRACT

Enhancements to the science data processing pipeline of NASA's Wide-field Infrared Survey Explorer (WISE) mission, collectively known as NEOWISE, resulted in the detection of >158,000 minor planets in four infrared wavelengths during the fully cryogenic portion of the mission. Following the depletion of its cryogen, NASA's Planetary Science Directorate funded a four-month extension to complete the survey of the inner edge of the Main Asteroid Belt and to detect and discover near-Earth objects (NEOs). This extended survey phase, known as the NEOWISE Post-Cryogenic Survey, resulted in the detection of ∼6500 large Main Belt asteroids and 86 NEOs in its 3.4 and 4.6 μm channels. During the Post-Cryogenic Survey, NEOWISE discovered and detected a number of asteroids co-orbital with the Earth and Mars, including the first known Earth Trojan. We present preliminary thermal fits for these and other NEOs detected during the 3-Band Cryogenic and Post-Cryogenic Surveys.

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1. INTRODUCTION

NASA's Wide-field Infrared Survey Explorer (WISE) mission (Wright et al. 2010; Cutri et al. 2012) launched on 2009 December 14 and operated until placed into hibernation on 2011 February 17. WISE surveyed the entire sky near 90° solar elongation in four infrared wavelengths: 3.4, 4.6, 12, and 22 μm (denoted W1, W2, W3, and W4, respectively). This scan pattern resulted in an average of 12 exposures on the ecliptic, rising to hundreds of exposures at the ecliptic poles with 6.5 arcsec spatial resolution at 12 μm. Cooling for all four detectors was provided by dual solid hydrogen tanks. Survey operations began on 2010 January 7, and the first pass on the entire sky was completed six months later. Coverage of the solar system was incomplete at that time owing to the long synodic periods of near-Earth objects (NEOs) and many Main Belt asteroids (MBAs). The outer hydrogen tank was exhausted on 2010 August 5, resulting in the loss of the 22 μm channel that day. As the remaining hydrogen ice in the inner tank sublimated, both the detectors and the telescope temperature rose. During this period, the 12 μm channel continued to operate (albeit with reduced sensitivity) until 2010 September 29. The inner tank's hydrogen supply was then finally exhausted, and the telescope temperature rose, resulting in the loss of this channel.

Before launch, the WISE baseline data processing pipeline was enhanced with the WISE Moving Object Pipeline System (WMOPS) to enable the independent discovery of new minor planets in near real-time and archive individual exposures. These augmentations to the WISE pipeline, collectively known as "NEOWISE," resulted in the discovery of ∼34,000 new asteroids, including 135 new NEOs. The survey has reported observations of >158,000 minor planets (Mainzer et al. 2011a).

Beginning 2010 October 1, NASA's Planetary Science Directorate funded a four-month extension, known as the NEOWISE Post-Cryogenic Survey, to search for new asteroids using WMOPS and to fill in the gap in coverage of the inner Main Asteroid Belt (see Figure 1 of Mainzer et al. 2011a). The focal plane assemblies, optics, and telescope temperature warmed to 73.5 K, cold enough to permit observations in the two shortest wavelengths. As discussed in Cutri et al. (2012), the W1 and W2 arrays operated with minimal performance degradation. Data collection was halted on 2011 February 1.

To date, the NEOWISE Post-Cryogenic Survey data have been processed using a first-pass version of the reduction pipeline. The image data were calibrated using early versions of dark and flat field images and bad pixel masks that were largely derived from the fully cryogenic (FC) mission phase. The current processing version does not benefit from the improvements implemented in the second-pass processing that have been applied to the WISE All-Sky and 3-Band Cryogenic Data Release products. Furthermore, the precise calibrations needed to compensate optimally for the effects of the increasing temperature were not applied to the Post-Cryogenic Survey data. For example, the W1 and W2 system throughput is known to have changed with time as the focal plane arrays and telescope warmed. Comparison of photometry of inertial calibration sources (primarily stars) between the four-band data and the Post-Cryogenic Survey data indicates that objects may appear up to 2% brighter in W1 and up to 11% brighter in W2 during different times throughout the Post-Cryogenic Survey (Cutri et al. 2012).

The NEOWISE Post-Cryogenic Survey preliminary data were delivered to NASA's public Infrared Science Archive on 2012 July 31. These preliminary release data do not have the same degree of quality assurance as the final release products delivered for the FC WISE All-Sky Data Release. Consequently, users are strongly advised to consult the cautionary notes in Section VIII.1.d of the Post-Cryo Preliminary Data Release Explanatory Supplement (Cutri et al. 2012, http://wise2.ipac.caltech.edu/docs/release/allsky/expsup/). The NEOWISE project is now reprocessing the Post-Cryogenic Survey data with a second-pass version of the pipeline, using the much improved calibrations optimized for the warm telescope.

Here, we characterize the performance of the preliminary version of the Post-Cryogenic Survey data with regard to small bodies. To date, ∼6500 objects were detected during the NEOWISE Post-Cryogenic Survey, including 86 NEOs. NEOWISE discovered ∼1000 new asteroids during the Post-Cryogenic Survey, including 12 new NEOs. We present preliminary thermal model results for NEOs detected during the 3-Band Cryogenic and Post-Cryogenic Survey phases. NEOWISE discovered two unusual NEOs during the Post-Cryogenic Survey: 2010 TK7, the first known Earth Trojan (Connors et al. 2011), and 2010 SO16, an NEO in a so-called horseshoe orbit (Christou & Asher 2011). The fits for these and other objects are given.

2. METHODS

2.1. Accuracy of Thermal Models Applied to Post-Cryogenic Data

We consider the accuracy of thermal model fits for small body measurements using the NEOWISE Post-Cryogenic Survey data in two ways. First, we compare fit results from data collected during the FC mission for a number of objects with well-known diameters to fits performed using only the W1 and W2 bands from the same FC data set (i.e., drop bands W3 and W4). Next, we compare fits performed using the FC data for ∼430 NEOs to fits for the same objects using only their W1 and W2 data (again dropping W3/W4).

At 3.4 and 4.6 μm, asteroid fluxes are a mix of reflected sunlight and thermal emission. While flux at 12 μm is dominated by thermal emission for most NEOs and MBAs, which is only a weak function of visible albedo (pV), the fluxes at shorter wavelengths are strong functions of pV. We make the simplifying assumption that pIR = p3.4 μm = p4.6 μm. In Mainzer et al. (2011b), we showed that infrared albedos are correlated with taxonomic classification. Asteroids that are red-sloped (such as T and D types) from visible-to-near-infrared wavelengths tend to have the higher ratios of pIR/pV, and asteroids with blue to flat slopes (such as C and B types) tend to have lower pIR/pV ratios.

We apply the Near-Earth Asteroid Thermal Model (NEATM; Harris 1998) to obtain estimates of the asteroids' physical parameters. This model uses a beaming parameter, η, to account for the tendency of surface features such as craters to "beam" radiation back to the observer at low phase angles. When two or more thermally dominated bands are available, η can be estimated, and this was done for more than a hundred thousand asteroids observed by WISE during the FC survey phase (Mainzer et al. 2011c; Masiero et al. 2011; Grav et al. 2011, 2012). These works implemented the NEATM code in such a way as to determine the free parameters D, pV, pIR, and η by using a least-squares minimization to the four wavelengths and their errors, along with absolute visible magnitude H and its assumed error (taken to be ±0.3 mag in most cases), and slope parameter G and its error (±0.1 mag).

However, for objects detected only during the Post-Cryogenic Survey, it is not usually possible to fit for η for most inner solar system objects, because only the W2 band is thermally dominated. For asteroids at sufficiently large heliocentric distances, even W2 is primarily dominated by reflected sunlight. Hence, for most inner MBAs and NEOs observed in only the Post-Cryogenic Survey, we must assume a value for η, along with an estimate of its variance. For NEOs, we adopted η = 1.4 ± 0.5, following Mainzer et al. (2011c), while for MBAs, we set η = 1.0 ± 0.25 based upon the average values shown in Masiero et al. (2011). Following Mainzer et al. (2011d), errors in derived physical parameters such as diameter and pV were computed using Monte Carlo trials which varied the WISE magnitudes, absolute visible magnitude H according to their 1σ errors, along with any other assumed parameters such as η or pIR where necessary.

When measurements in all four WISE wavelengths and an absolute visible magnitude H are available, it is possible to fit for pIR directly rather than compute it from pV using an assumed value for the ratio pIR/pV. However, when there are insufficient measurements dominated by reflected sunlight available, it is no longer possible to fit pIR. In that case, an assumed value for pIR/pV must be used. We used pIR/pV = 1.6 ± 1.0 for NEOs based on Mainzer et al. (2011d), and pIR/pV = 1.3 ± 0.5 for MBAs based on Masiero et al. (2011).

For objects detected by WISE at 12 and 22 μm, we have shown in Mainzer et al. (2011d) that effective spherical diameters can generally be determined to within ±10%, and albedos to within ±25% of their values. We assembled a collection of 112 asteroids from the literature with reliable diameters that were measured with non-radiometric methods (radar observations, stellar occultations, or spacecraft visits). Here, we calculate thermal fits for these calibration objects using only bands W1 and W2.

Figure 1 shows the results of NEATM fits for the 112 calibrator objects from data from the FC survey phase, but using only W1/W2 measurements. Gaussian fits to the resulting histogram of differences between W1/W2-only fits and the diameters taken from non-radiometric literature sources produces a 1σ diameter spread of ∼20%, and a 1σ spread in albedos of ∼40% of the objects' albedos. The accuracy of the diameters and albedos derived using W1/W2 only is degraded by about a factor of two relative to fits derived using W3/W4.

Figure 1.

Figure 1. Asteroid diameters and albedos derived from observations during the FC WISE mission using only 3.4 and 4.6 μm are compared to diameters obtained from either radar, stellar occultations, or in situ spacecraft visits. Gaussian fits to the fractional difference between diameters and albedos are shown as dashed red lines in the lower two panels. The diameters derived from W1/W2 only reproduce the calibrator targets' diameters to within ±20%(1σ), and visible albedos to within ±40%(1σ).

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Figure 1 shows that fits for pV for objects with lower pV tend to be somewhat lower than those derived from radar, etc. Similarly, fits for pV for higher albedo objects may be somewhat systematically too high. As noted in Mainzer et al. (2011b), S-complex asteroids tend to have redder visible-to-near-infrared slopes, so therefore they tend to have higher values of pIR/pV. As most of the objects shown in Figure 1 are MBAs, the assumed value used for pIR/pV of 1.3 ± 0.5 is probably too low; Mainzer et al. (2011b) found a median value of ∼1.6 for S-complex asteroids. Moreover, Mainzer et al. (2011b) found a median pIR/pV of ∼1.0 for C-complex asteroids, as might be expected from their blue to flat visible-to-near-infrared slopes. The ratio pIR/pV seems to indicate that on average, for many objects, the trend of the visible-to-near-infrared slope continues out to 3–4 μm. There are exceptions to these general trends; T- and D-type objects, which have lower pV, have red to extremely red slopes and median pIR/pV of 1.5 and 2.0, respectively. The one-size-fits-all assumption of pIR/pV = 1.3 ± 0.5 for MBAs and 1.6 ± 1.0 for NEOs when performing thermal fits using W1/W2 only is perhaps overly simplistic. Nevertheless, given that taxonomic classification is not usually available for most objects, it is probably not safe to assume different values for pIR/pV. The errors are more properly accounted for by using an appropriately large error on the assumed value of pIR/pV.

We next compared thermal fit results derived for 429 NEOs observed during the FC survey phase with fits derived using their W1/W2 detections only (i.e., dropping 12 and 22 μm). Of the 429 NEOs detected in the FC survey phase, 218 were detected in bands W1/W2 in addition to W3/W4. By comparing the FC fits to fits for the same objects using only their W1/W2 fluxes, we can assess the difference in diameters and albedos (Figure 2). The W1/W2-only fits replicate the four-band fits to within ±20% in diameter and ±40% in albedo. While the mean offset between the W1/W2-only diameters and the four-band diameters is zero, there is a skew in the histogram of differences between W1/W2-only albedos and four-band albedos. As noted with the calibration objects shown in Figure 1, when performing thermal fits using pIR = 1.6 ± 1.0 (the median value derived from the FC survey phase for NEOs), NEOs with pV  >   ∼ 0.1 tend to have somewhat larger albedos than their corresponding four-band values. Given that in Mainzer et al. (2011b) it was shown that pIR is most likely related to an object's visible/near-infrared slope, which is not known in most cases, we must use the median value of pIR = 1.6 ± 1.0. Nevertheless, Figures 1 and 2 show that the NEOWISE Post-Cryogenic Survey data produce reasonable estimates of an asteroid's effective spherical diameter and albedo.

Figure 2.

Figure 2. Asteroid diameters and albedos derived from observations of NEOs during the FC survey using all four WISE bands (3.4, 4.6, 12, and 22 μm) are compared to thermal fits derived by using only 3.4 and 4.6 μm from the same data set (i.e., disregarding 12 and 22 μm). The red dashed lines represent Gaussian fits to the fractional differences between four-band and two-band thermal fits. As with the objects shown in Figure 1, diameters computed using only bands W1/W2 match the four-band fits to within ∼ ± 20%(1σ), and visible albedos to within ∼ ± 40%(1σ). These errors are about a factor of two worse than fits derived including 12 and 22 μm.

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Table 1 gives the physical properties of 30 NEOs detected during both the 3-Band Cryogenic phase of the WISE mission and the 86 NEOs detected during the NEOWISE Post-Cryogenic Survey. The median diameter of objects detected in the Post-Cryogenic Survey phase was 0.87 km, versus 0.76 km during the FC mission.

Table 1. NEATM Results for the 30 NEOs Detected by NEOWISE During the 3-Band Cryogenic Survey Phase and the 86 NEOs Detected During the NEOWISE Post-Cryogenic Survey

      D              
Object H G (km) pV η pIR N(W1) N(W2) N(W3) N(W4)
01566 16.30 0.15 1.359 ± 0.159 0.234 ± 0.261 1.308 ± 0.230 0.375 ± 0.143 7 7 7 0
02212 13.50 0.15 3.768 ± 0.063 0.249 ± 0.188 1.008 ± 0.109 0.398 ± 0.065 7 8 8 0
03122 14.65 0.15 3.834 ± 1.581 0.193 ± 0.239 1.400 ± 0.552 0.503 ± 0.278 23 23 0 0
03288 15.50 0.15 3.352 ± 1.821 0.099 ± 0.113 1.400 ± 0.517 0.159 ± 0.274 0 6 0 0
03552 13.00 0.15 35.550 ± 8.913 0.009 ± 0.008 1.400 ± 0.383 0.014 ± 0.011 0 0 4 0
03554 15.94 0.15 1.782 ± 0.515 0.264 ± 0.255 1.400 ± 0.402 0.423 ± 0.218 15 15 0 0
03753 15.13 0.15 2.159 ± 0.107 0.336 ± 0.084 1.487 ± 0.121 0.427 ± 0.094 13 15 13 0
03753 15.13 0.15 1.764 ± 0.478 0.368 ± 0.170 1.486 ± 0.384 0.468 ± 0.183 18 20 0 0
04055 14.90 0.15 2.547 ± 1.314 0.354 ± 0.279 1.400 ± 0.584 0.567 ± 0.306 49 51 0 0
04401 15.50 0.15 1.981 ± 0.617 0.284 ± 0.212 1.400 ± 0.457 0.454 ± 0.312 0 13 0 0
04954 12.75 0.15 9.306 ± 3.712 0.181 ± 0.145 1.400 ± 0.478 0.290 ± 0.167 18 18 0 0

Notes. This table contains the preliminary thermal fit results based on the first-pass version of the WISE data processing as described in the text. The columns contain object name, H magnitude, slope parameter G, diameter, pV, beaming parameter η, pIR, and number of observations in each of the four WISE bands. The 1σ errors presented here were statistically generated using Monte Carlo modeling. WISE fluxes, absolute magnitude H, and G were varied by their 1σ error bars, as well as beaming (η) and pIR when these two parameters could not be fitted. The quoted precision for each parameter follows the object with the most significant figures for the error on that value in the table. The statistical errors on diameter and pV for each object in the table should be added in quadrature to the ±10% and ±25% systematic errors described in the text.

Only a portion of this table is shown here to demonstrate its form and content. A machine-readable version of the full table is available.

Download table as:  DataTypeset image

2.2. Co-orbital Asteroids

Table 1 includes a number of unusual objects. Several objects that are currently co-orbital with respect to the Earth were detected, including (3753) Cruithne. Cruithne's orbit, when viewed from a reference frame corotating with Earth, follows a horseshoe-shaped pattern (Wiegert et al. 1998; Christou 2000). NEATM yields an effective spherical diameter of 2.1 ± 0.21 km. Its high albedo (pV = 0.34 ± 0.10) and moderately high infrared albedo ratio (pIR = 1.27 ± 0.33) are consistent with its spectral classification of Q (Xu et al. 1995; Bus & Binzel 2002). It exhibits a large-amplitude light curve that appears consistent with the 27.4 hr rotational period derived by Erikson et al. (2000).

NEOWISE discovered another object that was determined to be in a horseshoe orbit with respect to the Earth by Christou & Asher (2011), 2010 SO16, during the Post-Cryogenic Survey. It was detected in band W2, and a NEATM fit assuming the standard values of η = 1.4 ± 0.5 and pIR = 1.6 ± 1.0 determined from Mainzer et al. (2011c) yields an effective spherical diameter of 0.36 ± 0.12 km with a visible albedo pV = 0.08+0.09 − 0.07.

The first known Earth Trojan asteroid, 2010 TK7, was discovered by NEOWISE during the Post-Cryogenic Survey. Connors et al. (2011) analyzed its orbit and determined it to be bound to the Earth's L4 Lagrange point. A NEATM fit to the Post-Cryogenic Survey data shows the object to be 0.33 ± 0.12 km in diameter with pV = 0.08+0.09 − 0.07. 2010 TK7 passed through the WISE field of view for ∼80 exposures during the FC portion of the mission, but it was not detected even in a comoving co-added image of all of these frames. A prediction of its magnitude using the physical properties determined from the Post-Cryogenic Survey indicates that it would have fallen well below the detection threshold even with ∼80 exposures.

A quasi-satellite was also detected during the FC portion of the mission in bands W2 and W3, (164207) 2004 GU9. It will likely trail the Earth for the next ∼1000 years, after which point it will most likely enter a horseshoe orbit (Wajer 2010). It is small (D = 0.17 ± 0.02 km) and bright (pV = 0.19 ± 0.05).

NEOWISE also detected a known Mars Trojan, (121514) 1999 UJ7. The object was observed in two epochs, first during the FC portion of the mission in bands W2, W3, and W4 in 2010 March, then again in 2010 October in bands W1 and W2 only. A NEATM fit reveals its diameter to be large, about 2.5 ± 0.2 km, with a low visible albedo (pV = 0.048 ± 0.012), consistent with its X or T classification (Rivkin et al. 2003). Its low albedo is significantly different from those of other Mars Trojans with measured albedos such as (5261) Eureka and (101429) 1998 VF31 (pV = 0.39 and 0.32, respectively; Trilling et al. 2007). The difference in albedo and spectral classification may indicate a different origin from the other Mars Trojans.

3. DISCUSSION

Most of the asteroids detected by WMOPS during the FC phase of the WISE mission were identified using band W3, centered at 12 μm. At this wavelength, the dominant source of flux for NEOs is thermal emission rather than reflected sunlight. As thermal flux is only weakly dependent on pV, band W3 is essentially equally sensitive to high and low albedo objects. However, NEOs detected by WMOPS in band W2 during the Post-Cryogenic Survey were not selected in such an albedo-insensitive manner, given that flux in band W2 is usually a mix of reflected sunlight and thermal emission for most NEOs. Darker, smaller NEOs are therefore somewhat less likely to have been detected. Figure 3 shows the relationship between pV and diameter for NEOs observed during the FC mission phase as well as during the Post-Cryogenic Survey. As expected, somewhat fewer small, low albedo NEOs were detected by WMOPS during the FC survey phase.

Figure 3.

Figure 3. There is no significant trend in albedo vs. diameter for the ∼420 NEOs detected by WMOPS during the fully cryogenic portion of the mission (top panel; running median shown in red), most of which were detected in the thermally dominated 12 μm band W3. There are an additional ∼10 NEO candidates that appeared on the Minor Planet Center's NEO Confirmation Page but did not receive follow-up, often because they were too faint to be detected by available assets. These missing objects will tend to be small and dark. Bottom panel: 86 NEOs detected at 4.6 μm during the Post-Cryogenic Survey have a non-negligible fraction of their flux that is produced by reflected sunlight, and the amount is proportional to their albedo, as indicated by the slight slope in the running median (red line). Hence, somewhat fewer small, dark NEOs were detected during the Post-Cryogenic Survey relative to the fully cryogenic phase.

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In order to extrapolate the sample of co-orbital near-Earth asteroids detected by NEOWISE to the larger population as was done for the FC survey phase in Mainzer et al. (2011c) and Grav et al. (2011, 2012), we must develop a synthetic population of objects with suitable orbital elements and physical properties. This synthetic population will be combined with a model of the survey's sensitivity as a function of sky position and wavelength to produce estimates of the survey's biases with respect to orbital elements as well as diameter and albedo. This analysis will be the subject of future work.

4. CONCLUSIONS

The NEOWISE Post-Cryogenic Survey has resulted in the collection of 3.4 and 4.6 μm observations for nearly 100 NEOs to date. Comparison with well-known calibrator objects shows that for objects with low-amplitude light curves, good signal-to-noise measurements, and thermally dominated fluxes in band W2, diameters can be computed to within ±20% and albedos to within ±40% of their values. While the accuracy of the diameters and albedos computed from bands W1 and W2 only is lower when compared to the FC mission data, it is nevertheless possible to learn useful physical information about these objects. We have computed preliminary thermal models for the NEOs detected during the 3-Band Cryogenic and Post-Cryogenic Survey phases, including a number of objects that are co-orbital with the Earth and Mars. Future work will include extrapolation of these detections to place constraints on the populations of these objects as well as strength and effect of non-gravitational forces on their orbital evolution.

This publication makes use of data products from the Wide-field Infrared Survey Explorer, which is a joint project of the University of California, Los Angeles, and the Jet Propulsion Laboratory/California Institute of Technology, and NEOWISE, which is a project of the Jet Propulsion Laboratory/California Institute of Technology. WISE and NEOWISE are funded by the National Aeronautics and Space Administration. We gratefully acknowledge the extraordinary services specific to NEOWISE contributed by the International Astronomical Union's Minor Planet Center, operated by the Harvard-Smithsonian Center for Astrophysics. We thank the worldwide community of dedicated amateur and professional astronomers devoted to minor planet follow-up observations. We thank our referee for thoughtful comments. This research has made use of the NASA/IPAC Infrared Science Archive, which is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration. D.J.T. acknowledges support from NSF Grant AST 1109940.

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10.1088/2041-8205/760/1/L12