Radar observations of near-Earth asteroid 2004DC

PI: Patrick Taylor (Cornell)

Contact Info Below

All calculations are based on current system parameters, a target diameter of 700 m, and a nominal spin period of 4 hours. The taxonomy and spin period have not been determined. The size estimate is conservative and based on an absolute magnitude of 18.1 and albedo of 0.20. The spin period estimate is standard for asteroids with H < 22. Under these assumptions of size and spin rate, the predicted bandwidth for an equatorial view is ~17 Hz.

ORBITAL ELEMENTS

  EPOCH=  2453895.5 ! 2006-Jun-09.00 (CT)         Residual RMS= .44813         
    EC= .3999009391231627  QR= .9808148220236723  TP= 2453870.74366339         
    OM= 75.01533689474591  W= 156.1277694188605   IN= 19.44902646137039        
    A= 1.634421524657197   MA= 11.67735123691641  ADIST= 2.288028227290721     
    PER= 2.08956           N= .471691407          ANGMOM= .020156894           
    DAN= 2.16462           DDN= 1.00538           L= 232.3642664               
    B= 7.7442603                                  TP= 2006-May-15.2436634     
With 120 optical observations spanning 2004-Feb-16 to 2006-May-25, 2004 DC solution #31 was computed. Formal 3-sigma S/X-band uncertainties are shown below.
 Date__(UT)__HR:MN   POS_3sigma  DOP_S-sig  DOP_X-sig  RT_delay-sig
 2006-May-29 00:00   2.18718207       0.49       1.77      0.001429
 2006-May-30 00:00   2.88914017       0.49       1.75      0.001394
 2006-May-31 00:00   3.95717044       0.48       1.72      0.001335
 2006-Jun-01 00:00   5.53388395       0.46       1.64      0.001235
 2006-Jun-02 00:00   7.65045904       0.42       1.51      0.001070
 2006-Jun-03 00:00   9.91263088       0.37       1.32      0.000821
 2006-Jun-04 00:00   11.3488988       0.31       1.11      0.000520
 2006-Jun-05 00:00   11.2335936       0.28       0.99      0.000323
 2006-Jun-06 00:00   9.95303667       0.28       1.02      0.000417
 2006-Jun-07 00:00   8.34432330       0.31       1.11      0.000595

Units are: arcseconds for POS, Hz for DOP, and seconds for RT.

Goldstone schedule

  Date   DOY  Start TXon  TXoff   Stop  RTT   SNR/run

 May 29  149  0600  0730  1430    1500  45.6     20
 May 30  150  1045  1215  1835    1905  39.6     30
 Jun  3  154  1000  1130  1910*   1940  25.9    150
 Jun  5  156  1000  1145  1430    1500  28.4    130
 Jun  6  157  1145  1315  1545    1745  32.7     80

*  June 3 (DOY 154) overlaps with Arecibo observations from 1130 to 1315

Arecibo schedule

  Date   DOY  Start TXon  TXoff   Stop  RTT   SNR/run

 Jun  2  153  1000  1050  1300    1300  27.5   3000
 Jun  3  154  0930  1030  1315    1330  25.9   3600
 Jun  4  155  1000  1115  1230    1300  26.2   3500

Contact information prior to June 1 and after June 5

ptaylor(aT)astro(dot)cornell(dot)edu
607 351 3482 CELL
607 255 2727 CORNELL
607 255 9002 FAX
The Goldstone Radar Remote Operations Center is at (818) 354-2877.

Contact information during Arecibo observations, June 1-5

ptaylor(aT)astro(dot)cornell(dot)edu
787 878 2612 ARECIBO OBSERVATORY
   x 211     CONTROL ROOM
   x 374     VSQ ROOM

Goldstone Setup Files

We are currently using OSOD solution 41. OSOD and nominal radar predicts have been established on stealth.
   /export/data2/osod/ops/2004dc/

Arecibo Setup Files

Standard Arecibo to Arecibo predicts are here:
   /share/trabuco4/jplephem/osod/ops/2004dc/PRDX.OUT.s39
and:
   /share/olda/Ephm/2004DC.PRDX.OUT.s39
Arecibo setup/log files are here:
   /share/obs4/usr/radar/2004DC/

2006 May 29 - DOY 149 - Goldstone

  Date   DOY  Start TXon  TXoff  Stop  RTT  SNR/run
 May 29  149  0600  0730  1430   1500  45.6    20
The primary objective for the May 29 and 30 observations from Goldstone will be the refinement of the orbit ephemeris of 2004 DC. We would like to have the ephemeris accurate as possible leading into the Arecibo observations so we can maximize the time available for high resolution delay-Doppler imaging. Time and ephemeris quality-permitting, it would be good to take some delay-Doppler images to get a size estimate of the target.
Nominal Plan of Attack:
1. CW with a relatively narrowband setup.  Measure the echo's bandwidth and Doppler offset.  
   With a nominal diameter and spin period of 700 m and 4 hours, the predicted bandwidth for an equatorial view is ~17 Hz.  
2. 10 usec ranging with 127-length code and the original ephemeris solution.
3. 11 usec ranging with 127-length code and the original ephemeris solution.
4. Update the ephemeris solution in OSOD with a Doppler and a range.
5. Continue 11 usec ranging to verify that the new solution is OK.
6. Do 1 usec ranging to refine the ephemeris more.  Update the ephemeris again.
7. Go to higher resolution imaging for the rest of the track.  The baud will depend on the bandwidth and SNR of the echoes.
POINTING MACROS
                                                  TX Offsets
Date (UTC)   DOY  hhmmss    RA       Dec   Macro  LHA      Dec    OSOD
                                                                                                                                                             
May 29
2006 05 29   149  070000 355.4657 68.5177   A                      31
2006 05 29   149  080000 355.5626 68.3317   A
2006 05 29   149  090000 355.6515 68.1443   A   -0.0011  -0.0024
2006 05 29   149  100000 355.7322 67.9550   A
2006 05 29   149  110000 355.8050 67.7628   AB
2006 05 29   149  120000 355.8707 67.5672    B
2006 05 29   149  130000 355.9305 67.3675    B  -0.0007  -0.0026
2006 05 29   149  140000 355.9861 67.1632    B
2006 05 29   149  150000 356.0393 66.9541    B
CW observations find a bandwidth of ~11 Hz and approximately equal signal strengths in both polarizations. Target appears to fill only one range gate at 1 us baud using soln 31, but appears to fill two gates using soln 33. Imaging at 1/8 us baud reveals a hemispherical echo only 5 range gates deep (< 100 m!). This size would imply a spin period of ~100 minutes to produce the observed bandwidth. The size is also at odds with the absolute magnitude and would require an albedo > 2. Possibly the absolute magnitude is in error or we have not seen the full extent in the 1/8 us imaging.


Left: Sums of 16 CW runs at midpoint 07:44 UT with 0.625 Hz resolution. Elevation is 26 deg. No obvious secondary. Assuming the central spike is the secondary results in a far worse orbital fit than not including this data point.

Right: Sums of 20 CW runs at midpoint 14:15 UT with 0.4 Hz resolution. Elevation is 58 deg. No obvious secondary. Assuming the rightmost spike is the secondary results in a far worse orbital fit than not including this data point.

CW Analysis on 07:44 (left) summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :       -6.3430389 Hz
Threshold Maximum   :        3.2904319 Hz
Bandwidth of Echo   :        9.6334709 Hz
Signal-to-Noise     :       0.20962128
Radar X-section 1   :        6129.7285 m^2
Radar X-section 2   :        6649.8057 m^2
Radar Albedo 1      :      0.086717919
Radar Albedo 2      :      0.094075507
Radar Albedo Total  :       0.18079343
Polarization Ratio  :        1.0848451

CW Analysis on 14:15 (right) summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :       -5.3398469 Hz
Threshold Maximum   :        4.7161818 Hz
Bandwidth of Echo   :        10.056029 Hz
Signal-to-Noise     :       0.32886416
Radar X-section 1   :        7151.8165 m^2
Radar X-section 2   :        7554.9417 m^2
Radar Albedo 1      :       0.10117751
Radar Albedo 2      :       0.10688056
Radar Albedo Total  :       0.20805807
Polarization Ratio  :        1.0563668


Sum of 110 runs at 1/8 us baud in SC channel. Pixels are 18.75 m x 1 Hz. Depth is 5 rg, width is 9 bins.

2006 May 30 - DOY 150 - Goldstone

  Date   DOY  Start TXon  TXoff  Stop  RTT  SNR/run
 May 30  150  1045  1215  1835   1905  39.6    30
Ephemeris solution 35 should be pretty good from the astrometry collected yesterday. Start with CW to look for changes in the limb-to-limb bandwidth (to help constrain pole location), check polarization ratio and cross-sections obtained already. Later, attempt 1/8 us imaging again to confirm the size of the target. The signal should be up by 50% compared to the previous day.

POINTING MACROS

                                                  TX Offsets
Date (UTC)   DOY  hhmmss    RA       Dec   Macro  LHA      Dec    OSOD
                                                                                                                      
May 30
2006 05 30   150  120000 357.7388 61.9210   A                      35
2006 05 30   150  130000 357.7905 61.6578   A
2006 05 30   150  140000 357.8381 61.3890   A   -0.0005  -0.0031
2006 05 30   150  150000 357.8835 61.1141   A
2006 05 30   150  160000 357.9285 60.8330   AB
2006 05 30   150  170000 357.9748 60.5458    B
2006 05 30   150  180000 358.0242 60.2525    B  -0.0006  -0.0032
2006 05 30   150  190000 358.0782 59.9537    B
2006 05 30   150  200000 358.1378 59.6497    B
Ephemeris solution 37 was produced using ranging measurements from the 1/8 us imaging of May 29 and May 30. The range measurements were assigned uncertainties of roughly the echo depth as we remain unconvinced that we are seeing the true extent of the target in the 1/8 us images. To check the size of the target, we reverted to a coarser 0.5 us baud setup. 0.5 us imaging clearly shows an echo depth of 2-3 rg or > 150 m, at least 50% larger than the echo in the 1/8 us imaging.


Left: Sum of 15 CW runs at midpoint 12:32 UT processed with 0.625 Hz resolution. Elevation is 54 deg. Secondary is the central spike, -0.310 Hz (S-band) from the center of the echo. The bandwidth of the primary has increased by ~2 Hz (X-band).

Right: Sum of 23 CW runs at midpoint 18:19 UT processed with 0.625 Hz resolution. Elevation is 51 deg. Secondary is the leftmost spike, -0.726 Hz (S-band) from the center of the echo.

NOTE: The SC echo looks much more powerful than the OC, but the polarization ratio is ~1. This is because the echoes are plotted in terms of the st.dev. of the noise, which is different for each channel. Also, the baseline for each channel differs. It seems that SC has more background noise (baseline) than OC, but the variability (st.dev.) does not increase as much, giving the appearance that SC is much stronger though the SNRs are similar.

CW Analysis on 12:32 (left) summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :       -6.9326488 Hz
Threshold Maximum   :        5.8906230 Hz
Bandwidth of Echo   :        12.823272 Hz
Signal-to-Noise     :       0.86000565
Radar X-section 1   :        14532.226 m^2
Radar X-section 2   :        14562.021 m^2
Radar Albedo 1      :       0.20558894
Radar Albedo 2      :       0.20601046
Radar Albedo Total  :       0.41159939
Polarization Ratio  :        1.0020503

CW Analysis on 18:19 (right) summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :       -5.9369795 Hz
Threshold Maximum   :        6.1822708 Hz
Bandwidth of Echo   :        12.119250 Hz
Signal-to-Noise     :        1.0978323
Radar X-section 1   :        16296.332 m^2
Radar X-section 2   :        16345.869 m^2
Radar Albedo 1      :       0.23054594
Radar Albedo 2      :       0.23124674
Radar Albedo Total  :       0.46179268
Polarization Ratio  :        1.0030398


Sum of 80 runs at 1/8 us baud in OC channel using s35 (left) and sum of 76 runs using s37 (right). Pixels are 18.75 m x 1 Hz.

Same, but for the SC channel.

2006 Jun 02 - DOY 153 - Arecibo

  Date   DOY  Start TXon  TXoff   Stop  RTT   SNR/run
 Jun  2  153  1000  1050  1300    1300  27.5   3000

Left: Sum of 11 CW runs at midpoint 11:00 UT processed with 0.25 Hz resolution.

Right: Sum of 11 CW runs at midpoint 11:00 UT processed with 0.33 Hz resolution. (Azimuth, Elevation) is (37, 72) deg. Secondary is the leftmost spike in the SC channel, -0.735 Hz (S-band) from the center of the echo.

CW Analysis on 0.25 Hz resolution summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :        198.50561 Hz
Threshold Maximum   :        202.46540 Hz
Bandwidth of Echo   :        3.9597903 Hz
Signal-to-Noise     :        110.71398
Radar X-section 1   :        16182.945 m^2
Radar X-section 2   :        12772.756 m^2
Radar Albedo 1      :       0.22894184
Radar Albedo 2      :       0.18069753
Radar Albedo Total  :       0.40963937
Polarization Ratio  :       0.78927263

CW Analysis on 0.33 Hz resolution summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC); Note the drop in SNR, the factor of two difference in radar albedo and the 0.1 drop in polarization ratio (?!):

Threshold Minimum   :        198.40370 Hz
Threshold Maximum   :        202.46104 Hz
Bandwidth of Echo   :        4.0573449 Hz
Signal-to-Noise     :        57.289300
Radar X-section 1   :        8580.2188 m^2
Radar X-section 2   :        5941.9350 m^2
Radar Albedo 1      :       0.12138526
Radar Albedo 2      :      0.084061184
Radar Albedo Total  :       0.20544645
Polarization Ratio  :       0.69251556


Mosaic showing the motion of the secondary over 1.8 hours. Each frame is the average of five individual runs. Range increases downward, frequency increases to the right. Time increases from left to right and top to bottom. Resolution is 7.5 m x 0.05 Hz.

2006 Jun 03 - DOY 154 - Arecibo

  Date   DOY  Start TXon  TXoff   Stop  RTT   SNR/run
 Jun  3  154  0930  1030  1315    1330  25.9   3600

Left: Sum of 11 CW runs at midpoint 10:45 UT processed with 0.25 Hz resolution.

Right: Sum of 11 CW runs at midpoint 10:45 UT processed with 0.33 Hz resolution. (Azimuth, Elevation) is (89, 74) deg. Secondary is possibly the leftmost spike in the SC channel (based on images later), -0.523 Hz (S-band) from the center of the echo.

CW Analysis on 0.25 Hz resolution summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :        198.51280 Hz
Threshold Maximum   :        202.65921 Hz
Bandwidth of Echo   :        4.1464059 Hz
Signal-to-Noise     :        183.04670
Radar X-section 1   :        21486.242 m^2
Radar X-section 2   :        15616.990 m^2
Radar Albedo 1      :       0.30396815
Radar Albedo 2      :       0.22093521
Radar Albedo Total  :       0.52490336
Polarization Ratio  :       0.72683673

CW Analysis on 0.33 Hz resolution summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC); Note the drop in SNR, the factor of two difference in radar albedo and the 0.1 drop in polarization ratio (?!):

Threshold Minimum   :        198.35284 Hz
Threshold Maximum   :        202.65814 Hz
Bandwidth of Echo   :        4.3053033 Hz
Signal-to-Noise     :        101.18017
Radar X-section 1   :        12331.784 m^2
Radar X-section 2   :        8105.5634 m^2
Radar Albedo 1      :       0.17445906
Radar Albedo 2      :       0.11467027
Radar Albedo Total  :       0.28912933
Polarization Ratio  :       0.65729040


Sums of 5 images each with resolution 7.5 m x 0.05 Hz.

The similarity of these frames to the final frames of the Jun 02 Arecibo mosaic implies an orbital period for the secondary of ~22 hours.

The remainder of the track was lost to a transmitter problem.

2006 Jun 03 - DOY 154 - Goldstone

  Date   DOY  Start TXon  TXoff  Stop  RTT  SNR/run
 Jun  3  154  1000  1130  1910   1940  25.9   150
Because of the small size of the target, we will forego the interferometry idea. Instead, we should have Goldstone and Arecibo do their own transmitting and receiving and collect as much data on this binary system as possible. At X-band, the secondary should be ~0.75 Hz wide.
Proposed Sequence:

0.  Configure using ephemeris s39
1.  Start the track with 10 CW runs
2.  Image at 1/8 us for as much of the track as possible
3.  End with 10 CW runs
We have noticed differences in the strength of the CW runs from the beginning to the end of the previous two tracks, so we should try it again on this track to see if the pattern continues. The target should be 5x stronger than the previous dates and should not require more than 10 runs for analysis. The main goal is to image the system for as long as possible. However, we should not be shy about taking breaks to take boresights on nearby radio sources (i.e, within 1 deg). The nominal period of the primary is ~3 hr given the observed size and bandwidth, so we should easily cover a full rotation (or two) with the 1/8 us imaging.

POINTING MACROS

                                                  TX Offsets
Date (UTC)   DOY  hhmmss    RA       Dec   Macro  LHA      Dec    OSOD

2006 06 03   154  110000   3.2932 17.6221   A                      39
2006 06 03   154  120000   3.3280 16.9697   A
2006 06 03   154  130000   3.3586 16.3145   A   -0.0002  -0.0047
2006 06 03   154  140000   3.3860 15.6567   A
2006 06 03   154  150000   3.4116 14.9964   AB
2006 06 03   154  160000   3.4368 14.3338    B
2006 06 03   154  170000   3.4630 13.6693    B  -0.0002  -0.0047
2006 06 03   154  180000   3.4915 13.0034    B
2006 06 03   154  190000   3.5235 12.3366    B

Left: Sum of 12 CW runs at midpoint 12:40 UT processed with 0.625 Hz resolution. Elevation is 51 deg. Secondary is the leftmost spike, -0.706 Hz (S-band) from the center of the echo.

Right: Sum of 7 CW runs at midpoint 19:05 UT processed with 0.8 Hz resolution. Elevation is 33 deg. Secondary is the rightmost spike, 1.183 Hz (S-band) from the center of the echo.

CW Analysis on 12:40 (left) summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :       -6.2049545 Hz
Threshold Maximum   :        8.4218155 Hz
Bandwidth of Echo   :        14.626770 Hz
Signal-to-Noise     :        4.3112256
Radar X-section 1   :        14221.696 m^2
Radar X-section 2   :        14454.277 m^2
Radar Albedo 1      :       0.20119584
Radar Albedo 2      :       0.20448619
Radar Albedo Total  :       0.40568204
Polarization Ratio  :        1.0163540

CW Analysis of 19:05 (right) summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :       -6.8110368 Hz
Threshold Maximum   :        7.8212659 Hz
Bandwidth of Echo   :        14.632303 Hz
Signal-to-Noise     :        3.4681510
Radar X-section 1   :        7176.2589 m^2
Radar X-section 2   :        6991.4963 m^2
Radar Albedo 1      :       0.10152330
Radar Albedo 2      :      0.098909440
Radar Albedo Total  :       0.20043274
Polarization Ratio  :       0.97425364


"Movies" of 1/8 us imaging in LCP/OC (left) and RCP/SC (right).

2006 Jun 04 - DOY 155 - Arecibo

  Date   DOY  Start TXon  TXoff   Stop  RTT   SNR/run
 Jun  4  155  1000  1115  1230    1300  26.2   3500

Left: Sum of 9 CW runs at midpoint 11:15 UT processed with 0.25 Hz resolution. (Azimuth, Elevation) is (150, 71) deg.

Right: Sum of 9 CW runs at midpoint 11:15 UT processed with 0.33 Hz resolution. (Azimuth, Elevation) is (150, 71) deg. Secondary is possibly the leftmost spike in the SC channel, -0.526 Hz (S-band) from the center of the echo.

CW Analysis on 0.25 Hz resolution summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC); Note the drop in SNR, the factor of two difference in radar albedo and the 0.1 drop in polarization ratio (?!):

Threshold Minimum   :        198.26121 Hz
Threshold Maximum   :        202.20321 Hz
Bandwidth of Echo   :        3.9420028 Hz
Signal-to-Noise     :        84.460029
Radar X-section 1   :        11008.439 m^2
Radar X-section 2   :        9888.4222 m^2
Radar Albedo 1      :       0.15573755
Radar Albedo 2      :       0.13989256
Radar Albedo Total  :       0.29563011
Polarization Ratio  :       0.89825835

CW Analysis on 0.33 Hz resolution summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :        198.17079 Hz
Threshold Maximum   :        202.19737 Hz
Bandwidth of Echo   :        4.0265813 Hz
Signal-to-Noise     :        50.126889
Radar X-section 1   :        6673.6711 m^2
Radar X-section 2   :        5380.4356 m^2
Radar Albedo 1      :      0.094413133
Radar Albedo 2      :      0.076117592
Radar Albedo Total  :       0.17053072
Polarization Ratio  :       0.80621827

The remainder of the track was lost due to a turbine/transmitter problem.

2006 Jun 05 - DOY 156 - Goldstone

  Date   DOY  Start TXon  TXoff  Stop  RTT  SNR/run
 Jun  5  156  1000  1130  1430   1500  28.4   130
The plan for this track is the same as for the June 3 track. I have updated the ephemeris on stealth to solution 41 using a range correction from the June 3 1/8 us data.
0.  Configure using ephemeris s41
1.  Start the track with 10 CW runs
2.  Image at 1/8 us for as much of the track as possible
3.  End with 10 CW runs

POINTING MACROS

                                                   TX Offsets
Date (UTC)   DOY  hhmmss    RA       Dec    Macro  LHA      Dec    OSOD

2006 06 05   156  120000   5.3506 -13.1599   A                      41
2006 06 05   156  130000   5.3746 -13.7055   A   -0.0002  -0.0043
2006 06 05   156  140000   5.3958 -14.2454   A

Left: Sum of 11 CW runs at midpoint 11:52 UT processed with 0.625 Hz resolution. Elevation is 22 deg. Secondary is the central spike, -0.374 Hz (S-band) from the center of the echo.

Right: Sum of 12 CW runs at midpoint 14:24 UT processed with 0.625 Hz resolution. Elevation is 39 deg. Secondary is the rightmost spike, 0.481 Hz (S-band) from the center of the echo.

CW Analysis on 11:52 (left) summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :       -6.1773628 Hz
Threshold Maximum   :        7.5485529 Hz
Bandwidth of Echo   :        13.725916 Hz
Signal-to-Noise     :        2.7584822
Radar X-section 1   :        13138.515 m^2
Radar X-section 2   :        13264.241 m^2
Radar Albedo 1      :       0.18587196
Radar Albedo 2      :       0.18765063
Radar Albedo Total  :       0.37352259
Polarization Ratio  :        1.0095693

CW Analysis of 14:24 (right) summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :       -5.9050081 Hz
Threshold Maximum   :        7.2430427 Hz
Bandwidth of Echo   :        13.148051 Hz
Signal-to-Noise     :        1.9245024
Radar X-section 1   :        9503.3922 m^2
Radar X-section 2   :        9707.6326 m^2
Radar Albedo 1      :       0.13444550
Radar Albedo 2      :       0.13733491
Radar Albedo Total  :       0.27178040
Polarization Ratio  :        1.0214913


Sum of 110 runs at 1/8 us baud in OC channel.

2006 Jun 06 - DOY 157 - Goldstone

  Date   DOY  Start TXon  TXoff  Stop  RTT  SNR/run
 Jun  6  157  1145  1315  1545   1745  32.7    80
0.  Configure using ephemeris s41
1.  Start the track with 10 CW runs
2.  Image at 1/4 us to try and find the secondary quickly
3.  Continue with 1/4 us or switch to 1/2 or 1/8 us depending on results
4.  End with 10 CW runs

POINTING MACROS

                                                   TX Offsets
Date (UTC)   DOY  hhmmss    RA       Dec     Macro  LHA      Dec    OSOD

2006 06 06   157  130000   6.2464 -25.2478    A                      41
2006 06 06   157  140000   6.2650 -25.6706    A
2006 06 06   157  150000   6.2821 -26.0871    A   -0.0001  -0.0038
2006 06 06   157  160000   6.2989 -26.4972    A
2006 06 06   157  170000   6.3165 -26.9008    A

Left: Sum of 10 CW runs at midpoint 13:21 UT processed with 0.4 Hz resolution. Elevation is 24 deg. Secondary is the rightmost peak, 0.603 Hz (S-band) from the center of the echo.

Right: Sum of 9 CW runs at midpoint 15:40 UT processed with 0.625 Hz resolution. Elevation is 28 deg. Secondary is the rightmost peak, 1.085 Hz (S-band) from the center of the echo.

CW Analysis on 13:21 (left) summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :       -5.5392167 Hz
Threshold Maximum   :        6.7829709 Hz
Bandwidth of Echo   :        12.322188 Hz
Signal-to-Noise     :        1.8841006
Radar X-section 1   :        16394.996 m^2
Radar X-section 2   :        16425.674 m^2
Radar Albedo 1      :       0.23194175
Radar Albedo 2      :       0.23237575
Radar Albedo Total  :       0.46431750
Polarization Ratio  :        1.0018712

CW Analysis on 15:40 (right) summed spectrum using 300 m diameter spheroid (1 = OC, 2 = SC):

Threshold Minimum   :       -6.0160767 Hz
Threshold Maximum   :        6.9352306 Hz
Bandwidth of Echo   :        12.951307 Hz
Signal Power        :        256.51088 arb. units
Noise Power         :        156.29087 arb. units
Signal Power        :    5.5760040e-21 Watts =        1.5542816 Jansky
Noise Power         :    3.3974330e-21 Watts =       0.94701645 Jansky
Signal-to-Noise     :        1.6412403
Radar X-section 1   :        14322.184 m^2
Radar X-section 2   :        14642.530 m^2
Radar Albedo 1      :       0.20261745
Radar Albedo 2      :       0.20714943
Radar Albedo Total  :       0.40976688
Dielectric Constant :        6.9549639 (only applies for small polarization ratios)
Polarization Ratio  :        1.0223671

Radar Astrometry

Initial ephemeris solution for radar observations at Goldstone on 2006 May 29 was s31. We added corrections for the Doppler shift in the CW data and an unambiguous range determination to produce s33. We added a correction from 1 us ranging to produce s35. Corrections from the 1/8 us imaging on May 29 and 30 produced s37.

I seemed to have goofed up when updating the ephemeris for Arecibo. When going from s31 to s37 I know I made mistakes, and I must have iterated and not noted the change in solution number (as in doing, say 'iter 29' instead of 'iter 31', realizing the mistake, and going back and doing 'iter 31'). I realized that after adding two range corrections from Arecibo on 2006 Jun 02, the new solution I produced "s39" had good residuals, but the predicts were actually WORSE than the previous solution. Mike Nolan found that the true solution number we were on was s45, not s39. I chose not to apply the correction from Jun 03 at Arecibo due to confusion about whether I was correcting the right ephemeris or not. The correction from Goldstone on Jun 03 was used to produce s47 at Arecibo.

At Goldstone, the Jun 02 corrections from Arecibo were used to produce s39. The Jun 03 correction from Goldstone was used to produce s41.

It seems that the ephemeris was never really nailed like I had hoped (images never right at the loopback/closed loop range gate). I wonder if it is due to my ephemeris goof up at Arecibo. I know that up to s37 on stealth at Goldstone is good and I trust it. Beyond that, the solutions on utuado and s39 and s41 on stealth may have been corrupted by my goof up.

OSOD Entries

2006 05 29 07:40:00    P 601427.0D0   0.5    8560.D6  -14  -14 Taylor, P., Margot, J.L.
Correction of -1.5 Hz to soln 31 from 16 CW runs with 0.488 Hz res'n.  
Bandwidth is about 11 Hz.

2006 05 29 08:40:00    R 46.94504797  10.0   8560.D6  -14  -14 Taylor, P., Margot, J.L.
Correction of -351 us to soln 31 from 4 runs each at 10 and 11 us.

2006 05 29 10:00:00    R 46.60867061  1.0    8560.D6  -14  -14 Taylor, P., Margot, J.L.
Correction of +6 us to soln 33 based on 12 runs at 1 us baud.
Echo appears in a single range gate.

2006 05 29 12:20:00    R 46.02346559  0.5    8560.D6  -14  -14 Taylor, P., Margot, J.L.
Based on 110 runs at 1/8 us, assume CoM at TE, 4 rg from LE.
Correction of +0.5 us to soln 35.

2006 05 30 14:00:00    R 39.90208722  0.5    8560.D6  -14  -14 Taylor, P., Margot, J.L.
Based on 61 runs at 1/8 us, assume CoM at TE, 4 rg from LE.
Correction of -1.125 us to soln 35.

2006 06 02 11:10:00    R 27.56700660  0.5    2380.D6   -1   -1 Taylor, P., Nolan, M.
Based on 10 runs at 0.05 us, assume CoM at TE.
Correction of -16.2 us to soln 37.

2006 06 02 12:30:00    R 27.42772497  0.5    2380.D6   -1   -1 Taylor, P., Nolan, M.
Based on 10 runs at 0.05 us, assume CoM at TE.
Correction of -17.25 us to soln 37.

=== NOT INCLUDED ===
2006 06 03 11:00:00    R 25.90622443  0.25   2380.D6   -1   -1 Taylor, P., Nolan, M.
Based on 8 runs at 0.05 us, assume CoM at TE.
Correction of -39.4 us to (bad) soln 39.
=== NOT INCLUDED ===

2006 06 03 15:10:00    R 25.80931750  0.25   8560.D6  -14  -14 Taylor, P.
Based on 10 runs at 1/8 us, assume CoM at TE.
Correction of +0.5 us to soln 39.

Motion of 2004DC during this apparition

The first Goldstone observations are on 2006 May 29 UT (MJD 53884). Close approach is on 2006 June 3 (MJD 53889). The final Goldstone observations are on 2006 June 6 (MJD 53892) after 95 degrees of sky motion. The sky motion over the Arecibo observations from 2006 June 2-4 is 32 degrees. Below is the motion of 2004 DC from May 27 to June 8 in distance from Earth, right ascension, and declination. The observing times for Goldstone are marked by the \\\ hatching, and the observing times for Arecibo are marked by the /// hatching. Note the overlap on June 3 (MJD 53889) available for attempting interferometry.
CW
CW
CW

Goldstone Setups

CW setup
--------
TX polarization           RCP
RCV polarization          LCP
Frequencies:              2
Dwell:                    20 seconds
Bandwidth:               4000 Hz  
Sampling interval:       2500 x 0.1 usec 
VME FFT for PSD files:   2048 for 1.95-Hz resolution


Possible ranging setups:
---------------------------------------------------------------------------

127 x 64 10-usec single sample, 12.3-Hz resolution.

baud            10 usec
code            127
gates           127
FFT             64
CLT             2  (VME)
ncoh            1
bandwidth       787.4 Hz   
resolution      12.30 Hz
TXOFF           +100 Hz -> echo will be centered at +8.1 bins or in bin 32 + 8.1 = 40

---------------------------------------------------------------------------

127 x 64 11-usec single sample, 11.2-Hz resolution.

baud            11 usec
code            127
gates           127
PRP             1397
FFT             64
CLT             2 (VME)
ncoh            1
bandwidth       715.8 Hz   
resolution      11.18 Hz
TXOFF           +100 Hz --> echo will be centered at +8.9 bins or in bin 32 + 8.9 = 41

-------------------------------------------------------------------------

127 x 64 1-usec single sample
------------------------------
baud            1 usec
code            127
gates           127
PRP             127
FFT             64
CLT             4
ncoh            15
bandwidth       525 Hz   
resolution      8.2 Hz
TXOFF           +100 -> echo would be centered at +12.2 bins  or in bin 32 + 12.2 = 44

-------------------------------------------------------------------------------
0.125-usec ranging
------------------
setup           JX1XS001 revised 
baud            0.125 usec
code            127
gates           127
FFT             64
ncoh            984
bandwidth       64.016384 Hz     
resolution      1.000256 Hz
TXOFF           Depends on bandwidth

-------------------------------------------------------------------------------
0.125-usec ranging - for May 29
------------------
setup           JX1XS001 revised 
baud            0.125 usec
code            127
gates           127
FFT             64
ncoh            492
bandwidth       128.03277 Hz     
resolution      2.0005 Hz on VME, 1 Hz on PFS
TXOFF           +10 Hz
PFS CLT gate    24

-------------------------------------------------------------------------------
0.125-usec ranging - for May 30
------------------
setup           JX1XS001 revised 
baud            0.125 usec
code            127
gates           127
FFT             64
ncoh            984
bandwidth       128.03277 Hz     
resolution      1.0003 Hz
TXOFF           +20 Hz, +15 Hz
PFS CLT gate    

-------------------------------------------------------------------------------
0.5-usec ranging - for May 30
----------------
setup           
baud            0.5 usec
code            127
gates           127
FFT             64
ncoh            49
bandwidth       321.38840 Hz     
resolution      5.0217 Hz
TXOFF           +15 Hz
PFS CLT gate    not recorded

_____________________________________________________________________
POSSIBLE RANGING SETUPS: (code=127, FFT=64, single-pol'n) 
   These are from JX, w/ max-band (min-acc) options from Ray Jurgens.
   Currently configured for 5-sec records.
_______________________________________________________________________
 Setup        Baud        RP         1-acc 1-acc      
            usec   m      usec        band   res    acc  band     res 
_______________________________________________________________________
 
JX1XS110  11.000 1650    1397.0      715.8  11.2      2   358     5.6
JX1XS070   7.000 1050     889.0     1124.9  17.6      3   375     5.9
                                                      
JX1XS020   2.000  300     254.0     3937.0  61.5     12   328     5.1
                                                      4   984    15.4 

JX1XS010   1.000  150     127.0     7874.0 123.0     41   192     3.0 
                                                      8   984    15.4 

JX1XS005   0.500   75      63.5    15748.0 246.1    123   128     2.0 
                                                     15  1050    16.4 

JX1XS002   0.250   37.5    31.75   31496.1 492.1    492    64     1.0
                                                     30  1050    16.4 
 
JX1XS001   0.125   18.75   15.875  62992.1 984.3   1970    32     0.5 
                                                     60  1050    16.4 
_______________________________________________________________________