2006 AM4 Planning


Background


2006 AM4 was discovered by the Mount Lemmon Survey (University of Arizona) on January 8, 2006.  
It will approach within 0.013 AU (5 lunar distances) on February 1.  Its physical properties 
are unknown, but its absolute magnitude of 21.8 suggests a diameter within a factor of two of 
140 meters.  

Update on January 29: Photometry reported by Carl Hergenrother and Mike Hicks indicate that 
2006 AM4 is an extremely rapid rotator with a period of about 5 minutes or 12 minutes.
It is among the most rapidly rotating near-Earth asteroids we have ever tried to observe 
with radar.  In addition, photometric colors reported by Hicks indicate a Q-type taxonomic class.

Goldstone observations are scheduled on January 31.

Mike Nolan and Lynn Carter observed 2006 AM4 at Arecibo on January 29 and are trying to schedule
more observations on other days.  The Arecibo echoes suggest that the Goldstone bandwidth will be
about 180 Hz.  Nolan and Carter obtained stronger SNRs than expected so this object
should be strong enough to detect at Goldstone even with the rapid rotation.

Due to the proximity of its orbit to Earth and its diameter, 2006 AM4 has been classified as a 
"Potentially Hazardous Asteroid" by the Minor Planet Center.
Orbital and Physical Characteristics
 orbit type              Aten
 semimajor axis           0.982 AU     
 eccentricity             0.649        
 inclination             21.9°       
 perihelion distance      0.345 AU     
 aphelion distance        1.620 AU     
 absolute magnitude (H)  21.8 
 diameter                 140 m +- a factor of two
 rotation period          ~5 minutes or perhaps ~12 minutes
 pole direction           unknown
 lightcurve amplitude     ~1 magnitude
 spectral class           Q

Last updated: 2007 January 29

Discovery


M.P.E.C. 2006-A48                                Issued 2006 Jan.  9, 12:55 UT

     The Minor Planet Electronic Circulars contain information on unusual
         minor planets and routine data on comets.  They are published
   on behalf of Commission 20 of the International Astronomical Union by the
          Minor Planet Center, Smithsonian Astrophysical Observatory,
                          Cambridge, MA 02138, U.S.A.

                  Supported in part by the Brinson Foundation
                  Supported in part by the TABASGO Foundation
             Prepared using the Tamkin Foundation Computer Network

                              MPC@CFA.HARVARD.EDU
          URL http://cfa-www.harvard.edu/iau/mpc.html  ISSN 1523-6714

                                   2006 AM4

Observations:
     K06A04M* C2006 01 08.38574 08 47 07.33 +14 56 21.8          20.8 V EA048G96
     K06A04M  C2006 01 08.39275 08 47 06.00 +14 56 28.1          20.8 V EA048G96
     K06A04M  C2006 01 08.39976 08 47 04.66 +14 56 34.4          20.8 V EA048G96
     K06A04M  C2006 01 08.40677 08 47 03.30 +14 56 40.5          20.4 V EA048G96
     K06A04M  C2006 01 08.47738 08 46 49.66 +14 57 43.6          20.9 V EA048G96
     K06A04M  C2006 01 08.48640 08 46 47.91 +14 57 51.7          21.0 V EA048G96
     K06A04M  C2006 01 09.29294 08 44 16.03 +15 10 29.5                 EA048291
     K06A04M  C2006 01 09.29727 08 44 15.13 +15 10 33.5                 EA048291
     K06A04M  C2006 01 09.30129 08 44 14.31 +15 10 37.4                 EA048291

Observer details:
291 LPL/Spacewatch II.  Observer A. S. Descour.  1.8-m f/2.7 reflector + CCD.
G96 Mt. Lemmon Survey.  Observer E. J. Christensen.  Measurers E. C. Beshore,
    E. J. Christensen, G. J. Garradd, A. D. Grauer, R. E. Hill, R. A. Kowalski,
    S. M. Larson, R. H. McNaught.  1.5-m reflector + CCD.

Orbital elements:
2006 AM4                                            PHA, Earth MOID = 0.0107 AU
Epoch 2006 Mar. 6.0 TT = JDT 2453800.5                  MPC
M 327.86646              (2000.0)            P               Q
n   1.03759155     Peri.  139.13164     -0.12472207     +0.99059961
a   0.9663144      Node   123.63194     -0.92697985     -0.09614694
e   0.6214473      Incl.    3.86931     -0.35376936     -0.09730453
P   0.95           H   21.9           G   0.15           U   9
Residuals in seconds of arc
060108 G96  0.3-  0.1+    060108 G96  0.2+  0.2-    060109 291  0.0   0.2+
060108 G96  0.0   0.0     060108 G96  0.1+  0.1-    060109 291  0.1-  0.1-
060108 G96  0.2+  0.0     060108 G96  0.1-  0.1+    060109 291  0.1+  0.1-

Ephemeris:
2006 AM4                 a,e,i = 0.97, 0.62, 4                   q = 0.3658
Date    TT    R. A. (2000) Decl.     Delta      r     Elong.  Phase     V
2006 01 05    08 56.11   +14 11.5    0.349    1.302   151.8    20.9    21.2
2006 01 15    08 20.39   +17 02.7    0.249    1.230   170.9     7.3    19.9
2006 01 25    07 00.71   +21 51.0    0.173    1.148   159.3    17.7    19.3
2006 02 04    04 34.36   +24 11.4    0.142    1.055   115.6    57.5    19.9
2006 02 14    02 13.75   +18 17.2    0.166    0.950    72.3    98.1    21.4

Timothy B. Spahr             (C) Copyright 2006 MPC           M.P.E.C. 2006-A48

SNR Calculation


Target Name:    2006 AM4
HMag:           21.8
Diameter:       0.14 km
Period:         0.085 h 

                           ------------GOLDSTONE----------  -------------ARECIBO-----------
                                            Max                              Max
                                    Dat     Run    UTC               Dat     Run    UTC
    Date   RA  Decl Delta  Runs     SNR     SNR   Window    Runs     SNR     SNR   Window
2007  1 27 163  14  0.067   257       1       0  5:24-15:11   66      41       5  5:42- 8:18
2007  1 28 165  15  0.055   310       2       0  5:24-15:24   80      98      11  5:42- 8:24
2007  1 29 169  17  0.043   388       7       0  5:30-15:35  100     260      26  5:54- 8:35
2007  1 30 175  21  0.031   514      91       4  5:42-16:11  129     900      79  6:12- 8:54
2007  1 31 189  28  0.021   700     529      20  6:12-17:23  160    4200     330  7:12- 9:41
2007  2  1 230  36  0.014   700    2011      76  8:30-20:23  117   12000    1100 10:30-11:41
2007  2  2 285  25  0.016   700    1164      44 12:35-23:23  202   12000     830 13:24-16:00
2007  2  3 307  12  0.025   567     190       8 14:35-24:23  144    2100     180 14:48-17:18
2007  2  4 316   6  0.036   405      80       4 15:24-24:36   90     460      49 15:35-17:36
2007  2  5 320   3  0.048   311       4       0 15:41-24:41   58     140      18 16:00-17:36
2007  2  6 323   1  0.060   252       2       0 16:00-24:41   37      43       7 16:23-17:30

Arecibo SNRs reflect results from observations on January 29 (Ptx = 670 kW, OCxsec = 7700 m^2).
Goldstone SNRs have been adjusted to include a radar albedo of 0.4 suggested by Arecibo
observations.


Track Assignments



2006 AM4 Goldstone Schedule

          UT       UT        PST                  AST               Duration  Round-trip time
DOY      Date   TX Window    TX Window            TX Window         hh:mm    (seconds)
---      ----   ---------    ---------            ---------         -------   --------- 
031     Jan 31  0630-1130    2230-0330 Jan 30-31  0230-0730 Jan 31  05:00       18



Uncertainties


From Horizons, 2007 January 10.  Solution #12, # obs: 62 (24 days)

 Date__(UT)__HR:MN     R.A._(J2000.0)_DEC.            delta POS_3sigma  DOP_S-sig  DOP_X-sig  RT_delay-sig
 2007-Jan-30 00:00     175.33338  20.86481 .031317041987618 57087.8791    2294.55    8206.89      0.261389
 2007-Jan-31 00:00     189.71883  27.59885 .020864089818451 85927.6100    1858.93    6648.83      1.053984
 2007-Feb-01 00:00     229.79105  35.93534 .013932556241785 117223.514     218.70     782.21      3.923241

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

From Jon Giorgini, 2007 January 10:

The data you forwarded from G96 is consistent with recovery of 2006 AM4.

For new solution #15, with 66 optical measurements spanning 2006-Jan-8 
to 2007-Jan-10, formal 3-sigma X-band uncertainties are as shown below:

 Date__(UT)__HR:MN   POS_3sigma  DOP_X-sig  RT_delay-sig
 2007-Jan-30 00:00   25.7743491      40.17      0.002005
 2007-Jan-31 00:00   39.9160728      36.23      0.002325
 2007-Feb-01 00:00   65.2857721      18.58      0.002266

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

From Horizons, 2007 January 17, Solution 19 # obs: 79 (2006-2007)

 2007-Jan-30 00:00   175.10937  20.94661 .031320978218304 15.1557839       9.87      35.31      0.001909
 2007-Jan-31 00:00   189.38015  27.75570 .020849473871107 24.8301261       8.91      31.88      0.002087
 2007-Feb-01 00:00   229.48653  36.32790 .013877308859756 46.8498148       4.59      16.42      0.001657

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

From Jon Giorgini, 2007 January 26:

With 103 usuable optical measurements (2006-Jan-8 to 2007-Jan-25),
2006 AM4 solution #25 formal 3-sigma X-band uncertainties were
computed as shown below.

OSOD and nominal predicts have been set-up on stealth.  Will
update them if new astrometry significantly changes predicts 
prior to the start of the experiment.

 Date__(UT)__HR:MN   POS_3sigma  DOP_X-sig  RT_delay-sig
 2007-Jan-29 00:00    3.35432270     22.67      0.001547
 2007-Jan-30 00:00    5.51287384     22.22      0.001670
 2007-Jan-31 00:00   11.8370887      20.22      0.001671
 2007-Feb-01 00:00   29.9869351      10.73      0.001005

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

From Jon Giorgini, 2007 January 29:

With 141 optical measurements (2006-Jan-8 to 2007-Jan-28) and the Arecibo
4us delay, new 2006 AM4 solution #29 was computed.  Formal 3-sigma S/X-band 
uncertainties are as shown below.  

 Date__(UT)__HR:MN   POS_3sigma  DOP_S-sig  DOP_X-sig  RT_delay-sig
 2007-Jan-28 00:00   .691769130       3.39      12.12      0.000157
 2007-Jan-29 00:00   .963552260       3.38      12.09      0.000034
 2007-Jan-30 00:00   1.44584715       3.33      11.91      0.000094
 2007-Jan-31 00:00   2.47087129       3.07      10.98      0.000209


Setups


Plans for the January 31 track
-------------------------------
We will start with solution ??.

This object has a very rapid rotation period of only about 5 minutes, so we're going try
a different CW setup from the ones we normally use.    The goal is to see a detection
quickly and to resolve the echo.  


Possible CW setup 
----------------- 
TX polarization           RCP
RCV polarization          LCP
Frequencies:                2
Dwell:                     10 seconds
Bandwidth:              20000 Hz  
Sampling interval:        500 x 0.1 usec 
VME FFT for PSD files:   1024 for 19.53-Hz resolution  

The round-trip time during the track will be only about 18 seconds, so this setup will provide one
dwell per run.  We will do at least ten minutes of CW.  After that what we do depends in part on
the ephemeris.  If Arecibo gets more ranging data then we'll go right to 1/8 usec imaging; otherwise
we'll do 10 usec and 11 usec ranging and then imaging.

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

127 x 64 10-usec single sample

baud             10 usec
code            127
gates           127
PRP            1270 usec
FFT              32   <-- NOTE THE FFT!
CLT               ?
ncoh              1
bandwidth       787.4 Hz   
resolution       24.6 Hz
TXOFF          +200 Hz -> echo will be centered at +8 bins or in bin 32 + 8 = 40

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

127 x 64 11-usec single sample

baud             11 usec
code            127
gates           127
PRP            1397 usec
FFT              32  <-- NOTE THE FFT!
CLT               ?
ncoh              1
bandwidth       715.8 Hz   
resolution       22.4 Hz
TXOFF          +200 Hz --> echo will be centered at +9 bins or in bin 32 + 9 = 41

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

127 x 64 7-usec single sample
------------------------------
baud            7 usec
code            127
gates           127
PRP             889
FFT             64
CLT             ??
ncoh            1
bandwidth       1124.9 Hz   
resolution      17.6 Hz
TXOFF           +60 -> echo would be centered at +3.4 bins w/perfect ephemeris

-------------------------------------------------------------------------
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 (left over from the 1992 UY4 observations in August, 2005)
------------------
setup           JX1XS001 revised 
baud            0.125 usec
code            127
gates           127
FFT             64
ncoh            984
bandwidth       64.016384 Hz     
resolution      1.000256 Hz
TXOFF           We used 10 Hz, placing COM in cell 32+10=42
                Henceforth use 15 Hz, to put COM in 32+15=47
incoh sums      4 looks=> 8 sec/record => expect records per run ~ RTT/8
PFS CLT gate    21

_____________________________________________________________________
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 
____________________________________________________________________


Instructions

NOTE: Data should be moved to the appropriate subdirectories in stealth:/export/data0/rosema/2006AM4/raw/

2006 AM4 POINTING:


   OSOD and predicts are at Goldstone on stealth:

   /export/data3/osod/ops/2006am4/PRDX.OUT.s29
                                 /PUNCH.OUT.s29
                                 /EPH.OUT.s29

and have been copied to:
   /export/data0/rosema/2006AM4/support/

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

2007 01 31    31  060000 196.0314 30.1541 A                       18.5  29
2007 01 31        070000 197.2911 30.5883 A   -0.0065   0.0022    18.2
2007 01 31        080000 198.6041 31.0261 AB                      17.8
2007 01 31        090000 199.9733 31.4655  B  -0.0068   0.0022    17.5
2007 01 31        100000 201.4024 31.9041  BC                     17.1
2007 01 31        110000 202.8952 32.3394   C -0.0071   0.0021    16.8
2007 01 31        120000 204.4559 32.7685   C                     16.5


PRDX.OUT.s29 TRANSMITTER: STATION #14, RECEIVER: STATION #14 RECEIVER U.T. RANGE DOPPLER LHA DEC RA EL 2007 JAN 31 06:30 18.3475075107 853768.453 274.0614 30.3706 196.655 20.051 2007 JAN 31 06:40 18.2877728249 850651.962 276.3576 30.4430 196.865 21.808 2007 JAN 31 06:50 18.2282585526 847479.278 278.6524 30.5156 197.078 23.574 2007 JAN 31 07:00 18.1689686328 844250.477 280.9456 30.5883 197.291 25.351 2007 JAN 31 07:10 18.1099069939 840965.675 283.2374 30.6611 197.506 27.136 2007 JAN 31 07:20 18.0510775545 837625.033 285.5277 30.7339 197.723 28.930 2007 JAN 31 07:30 17.9924842259 834228.751 287.8165 30.8069 197.941 30.731 2007 JAN 31 07:40 17.9341308959 830777.070 290.1038 30.8799 198.160 32.540 2007 JAN 31 07:50 17.8760214396 827270.268 292.3896 30.9530 198.381 34.355 2007 JAN 31 08:00 17.8181597080 823708.663 294.6738 31.0261 198.604 36.176 2007 JAN 31 08:10 17.7605495336 820092.606 296.9564 31.0993 198.828 38.003 2007 JAN 31 08:20 17.7031947181 816422.486 299.2375 31.1725 199.054 39.835 2007 JAN 31 08:30 17.6460990353 812698.724 301.5169 31.2458 199.281 41.671 2007 JAN 31 08:40 17.5892662307 808921.773 303.7948 31.3190 199.510 43.512 2007 JAN 31 08:50 17.5327000158 805092.119 306.0710 31.3923 199.741 45.356 2007 JAN 31 09:00 17.4764040671 801210.275 308.3456 31.4655 199.973 47.204 2007 JAN 31 09:10 17.4203820224 797276.782 310.6185 31.5388 200.207 49.054 2007 JAN 31 09:20 17.3646374822 793292.210 312.8897 31.6119 200.443 50.908 2007 JAN 31 09:30 17.3091740095 789257.150 315.1593 31.6851 200.680 52.763 2007 JAN 31 09:40 17.2539951169 785172.219 317.4271 31.7582 200.919 54.620 2007 JAN 31 09:50 17.1991042812 781038.054 319.6932 31.8312 201.160 56.478 2007 JAN 31 10:00 17.1445049306 776855.311 321.9576 31.9041 201.402 58.337 2007 JAN 31 10:10 17.0902004432 772624.666 324.2201 31.9770 201.647 60.196 2007 JAN 31 10:20 17.0361941560 768346.812 326.4809 32.0497 201.893 62.056 2007 JAN 31 10:30 16.9824893534 764022.452 328.7399 32.1223 202.141 63.916 2007 JAN 31 10:40 16.9290892666 759652.309 330.9971 32.1948 202.390 65.774 2007 JAN 31 10:50 16.8759970828 755237.112 333.2524 32.2672 202.642 67.631 2007 JAN 31 11:00 16.8232159307 750777.601 335.5058 32.3393 202.895 69.486 2007 JAN 31 11:10 16.7707488938 746274.525 337.7574 32.4114 203.151 71.339 2007 JAN 31 11:20 16.7185989975 741728.638 340.0070 32.4832 203.408 73.187 2007 JAN 31 11:30 16.6667692163 737140.700 342.2548 32.5548 203.667 75.031

2006 AM4 GOLDSTONE MASTERLOG

============================================================================== RCV TX setup runs start -stop osod OFFSET Poln Notes ------------------------------------------------------------------------------ January 31 CW 20 kHz, 2 hops, 10 s dwell 20 064610-065827 29 None RCP VME & PFS 512 FFT w/PSD file 10 usec, 127 code ncoh=1 5 071441-071728 29 +200 RCP VME FFT = 32; PFS problem 11 usec, 127 code ncoh=1 10 073815-074433 29 +200 RCP VME FFT = 32; PFS problem 1/8 usec, 127 code ncoh=120 40 081020-083521 31 +100 RCP VME FFT = 64 10 usec, 127 code ncoh=1 4 084447-084656 31 +200 RCP VME FFT = 32; PFS problem 1 usec, 127 code ncoh=15 4 090155-090406 31 +100 RCP VME FFT = 64 1/8 usec, 127 code ncoh=120 15 091357-092305 31 +100 RCP VME FFT = 64 1/8 usec, 127 code nc0h=120 42 092721-095338 33 +100 RCP VME FFT = 128 1/8 usec, 127 code ncoh=120 146 095714-113022 35 +100 RCP VME FFT = 128 ============================================================================== RADAR ASTROMETRY 2007 01 31 07:30:00 R 17.992434 10.0 8560.D6 -14 Benner, L.A.M. Correction of -50 usec to soln 29 from 10 and 11 usec ranging. 2007 01 31 09:00:00 R 17.476350 1.0 8560.D6 -14 Benner, L.A.M. Corr'n of -5 us to soln 31 from 10 us and 1 us ranging. 1 usec echo is one row deep. 2007 01 31 09:30:00 R 17.309119367 0.375 8560.D6 -14 Benner, L.A.M. Corr'n of -7/8 usec to soln 33 from 1/8 usec imaging. Placed COM at TE of echo, which is 3 gates deep. ==============================================================================

Dr. Lance A. M. Benner | PHONE: (818) 354-7412 Mail Stop 300-233 | FAX: (818) 354-9476 Jet Propulsion Laboratory | email: lance@reason.jpl.nasa.gov Pasadena, CA 91109-8099 | Plan: To live long and prosper http://echo.jpl.nasa.gov/asteroids/2006AM4/html/2006AM4_planning.html

Asteroid Radar Astronomy