(433) Eros Goldstone Radar Observations Planning


Background


Asteroid (433) Eros was discovered on August 13, 1898 by Carl Gustav Witt.
With an effective diameter of ~17 km, Eros is the second (after 1036 Ganymed) largest asteroid in the 
near-Earth population. 
Eros was one of the earliest radar targets, observed in 1975 at Goldstone by Jurgens and Goldstein (1976) 
and at Arecibo by Campbell et al. (1976), and then again in 1988 at Arecibo (Magri et al., 2001). A radar-based 
ellipsoid model for Eros was estimated by Jurgens and Goldstein (1976). A more detailed radar-based convex-hull 
model was published by Ostro et al. (1990) and 3-D model was published by Mitchell et al. (1998).

Eros was visited by NEAR spacecraft in 2000-2001, so its physical characteristics are exceptionally well 
known (Yeomans et al., 2000). It has a rotation period of 5.27 hours, with dimensions 34.4x11.2x11.2 km. 
Its bulk density is 2.67 g/cm^3 and it belongs to the S class.   Due to its significant elongation, 
the echo bandwidths and appearance of delay-Doppler radar images during our tracks will change
dramatically as the asteroid rotates.

Eros makes its closest approach (within 0.179 AU) with respect to Earth in 27 years on January 31, 2012.  
We plan to observe it with Goldstone during the last week of January. 

The bandwidth at Goldstone will be ~200-600 Hz due to a significant elongation of Eros. This asteroid 
will be a moderately strong radar target. We hope to resolve 
the shape of Eros with 25 usec (3.75 km) coarse imaging setup.

Orbital and Physical Characteristics  
 orbit type               Amor
 semimajor axis           1.458  AU     
 eccentricity             0.223 
 inclination              10.83 deg       
 perihelion distance      1.133 AU     
 aphelion distance        1.782 AU     
 absolute magnitude (H)   11.16
 dimensions               34.4x11.2x11.3 km (Yeomans et al., 2000, NEAR mission) 
 diameter                 16.84 km
 rotation period          5.27 h  Asteroid Lightcurve DataBase (Rev. 2010-Mar-21)
 pole direction           (eclipt. long=17.2, lat.=+11.3) (Miller et al., 2002) 
 lightcurve amplitude     0.04-1.49
 spectral class           S

Last update: 2012 Jan 29

SNR Calculation

Target Name:   (433) Eros

D =        16.84 km  
Period =    5.27 hr  
OC albedo = 0.100

                                              #                 max
 start date    window      RA, dec   dist   runs        SNR   SNR/run
---------------------------------------------------------------------
2012 Jan 20  05:52-15:12  160,  +7  0.186     97        200        23
2012 Jan 21  05:51-15:04  160,  +6  0.185     97        210        23
2012 Jan 22  05:49-14:57  160,  +5  0.184     96        210        24
2012 Jan 23  05:48-14:49  160,  +3  0.183     96        210        24
2012 Jan 24  05:47-14:41  160,  +2  0.182     95        220        25
2012 Jan 25  05:46-14:33  160,  +1  0.181     95        220        25
2012 Jan 26  05:45-14:25  160,   0  0.180     94        220        25
2012 Jan 27  05:44-14:17  159,  -1  0.180     93        220        26
2012 Jan 28  05:42-14:09  159,  -2  0.179     92        220        26
2012 Jan 29  05:41-14:00  159,  -3  0.179     91        220        26
2012 Jan 30  05:40-13:52  159,  -4  0.179     90        220        26
2012 Jan 31  05:38-13:43  158,  -5  0.179     89        220        26
2012 Feb  1  05:37-13:34  158,  -6  0.179     88        210        26
2012 Feb  2  05:36-13:26  158,  -7  0.179     87        210        25
2012 Feb  3  05:34-13:17  158,  -8  0.179     85        210        25
2012 Feb  4  05:33-13:08  157,  -9  0.180     84        200        25

Goldstone SNRs assume Ptx = 450 kW 

The measured radar albedo of Eros is about 0.2, so the SNRs should be roughly double 
the numbers shown above.

Track Assignments


Goldstone tracks:

        UT          UT          PST                    Duration    Round-trip     
DOY     Date        TX Window   TX Window                hh:mm     time (sec)     SNR/Run 
---     ----        ---------   ---------              ---------    ---------     -------
026     Jan 26      0535-0955   2135-0155  Jan 25/26     04:20       180            25
027     Jan 27      0535-0955   2135-0155  Jan 26/27     04:20       179            26
028     Jan 28      0535-0950   2135-0150  Jan 27/28     04:15       179            26
030     Jan 30      0535-0940   2135-0140  Jan 29/30     04:05       178            26

TXON refers to the earliest time we can start to transmit, which may occur before the end of precal.



Uncertainties

From Jon Giorgini, Jan 22 2012, Solution #396:
using a subset of 4370 optical (1963-Jul-15 to 2012-Jan-19),
1 delay and 3 Doppler from Arecibo (1975, 1988) and DSS-14 (1975),
and spacecraft tracking data from the NEAR mission, 433 Eros
orbit solution #396 has formal 3-sigma X-band uncertainties as
shown below.

Date__(UT)__HR:MN  POS_3sigma   DOP_X_3sig  RT_delay_3sig
2012-Jan-25 00:00       0.025         0.01       0.000013
2012-Jan-26 00:00       0.025         0.01       0.000013
2012-Jan-27 00:00       0.025         0.01       0.000012
2012-Jan-28 00:00       0.025         0.01       0.000012
2012-Jan-29 00:00       0.025         0.01       0.000012
2012-Jan-30 00:00       0.025         0.01       0.000012
2012-Jan-31 00:00       0.026         0.01       0.000012


From JPL Horizons, Nov 27 2011, Solution #386, #obs 4338 (1963-2011)

*******************************************************************************
 Date__(UT)__HR:MN     POS_3sigma  DOP_S_3sig  DOP_X_3sig  RT_delay_3sig
 2012-Jan-20 00:00 *        0.545        0.06        0.22       0.000324
 2012-Jan-21 00:00 *        0.549        0.06        0.23       0.000324
 2012-Jan-22 00:00 *        0.553        0.06        0.23       0.000323
 2012-Jan-23 00:00 *m       0.556        0.07        0.24       0.000322
 2012-Jan-24 00:00 *m       0.560        0.07        0.25       0.000320
 2012-Jan-25 00:00 *m       0.563        0.07        0.27       0.000319
 2012-Jan-26 00:00 *m       0.566        0.08        0.28       0.000317
 2012-Jan-27 00:00 *m       0.569        0.08        0.30       0.000315
 2012-Jan-28 00:00 *m       0.571        0.09        0.31       0.000312
 2012-Jan-29 00:00 *m       0.574        0.09        0.33       0.000309
 2012-Jan-30 00:00 *m       0.576        0.10        0.35       0.000307
 2012-Jan-31 00:00 *m       0.577        0.10        0.37       0.000304
 2012-Feb-01 00:00 *m       0.579        0.11        0.39       0.000300
 2012-Feb-02 00:00 *m       0.580        0.11        0.41       0.000297
 2012-Feb-03 00:00 *m       0.581        0.12        0.43       0.000293
 2012-Feb-04 00:00 *m       0.581        0.12        0.45       0.000289
 2012-Feb-05 00:00 *m       0.581        0.13        0.47       0.000285

******************************************************************************************


Apparent Magnitudes and Solar Elongations:

 Date__(UT)__HR:MN     R.A._(J2000.0)_DEC.  APmag            delta    S-O-T /r
 2012-Jan-20 00:00 *   160.17171   7.31238   8.76   0.18657986257210  140.1856 /L
 2012-Jan-21 00:00 *   160.09929   6.21473   8.73   0.18527610427502  140.8256 /L
 2012-Jan-22 00:00 *   160.00672   5.11099   8.70   0.18408610590037  141.4552 /L
 2012-Jan-23 00:00 *m  159.89429   4.00274   8.68   0.18301165456355  142.0719 /L
 2012-Jan-24 00:00 *m  159.76238   2.89162   8.66   0.18205431734724  142.6728 /L
 2012-Jan-25 00:00 *m  159.61141   1.77939   8.64   0.18121541525112  143.2554 /L
 2012-Jan-26 00:00 *m  159.44185   0.66783   8.62   0.18049600807213  143.8168 /L
 2012-Jan-27 00:00 *m  159.25424  -0.44118   8.60   0.17989688890561  144.3544 /L
 2012-Jan-28 00:00 *m  159.04916  -1.54575   8.59   0.17941858547184  144.8655 /L
 2012-Jan-29 00:00 *m  158.82722  -2.64395   8.58   0.17906136522001  145.3475 /L
 2012-Jan-30 00:00 *m  158.58908  -3.73384   8.57   0.17882524184324  145.7981 /L
 2012-Jan-31 00:00 *m  158.33544  -4.81348   8.56   0.17870998190548  146.2151 /L
 2012-Feb-01 00:00 *m  158.06703  -5.88094   8.55   0.17871511129772  146.5965 /L
 2012-Feb-02 00:00 *m  157.78462  -6.93435   8.55   0.17883992202659  146.9408 /L
 2012-Feb-03 00:00 *m  157.48903  -7.97187   8.55   0.17908348039848  147.2464 /L
 2012-Feb-04 00:00 *m  157.18107  -8.99175   8.55   0.17944463805658  147.5126 /L
 2012-Feb-05 00:00 *m  156.86163  -9.99229   8.55   0.17992204755706  147.7385 /L

Setups




CW setup:
---------------------------------------------------------------------------
TX polarization           RCP
RCV polarization          LCP & RCP
Frequency hops:           4
Dwell                     30 seconds                      
Bandwidth:                16000 Hz 
Sampling interval:        625 x 0.1 usec
VME FFT for PSD files:    512 for 31.3-Hz resolution 
 
Possible ranging setups:
---------------------------------------------------------------------------
15 x 64 25-usec single sample
baud            25 usec
code            15
FFT             128
ncoh            1
bandwidth       2667 Hz
resolution      21 Hz
TXOFF           300 Hz -> echo will be centered at  bins or in bin 64+14 =78
----------------------------------------------------------------------------
baud            11 usec
code            31
FFT             128
ncoh            1
bandwidth       2933 Hz
resolution      23 Hz
TXOFF           300 Hz -> echo will be centered at  bins or in bin 64+13 =77

_____________________________________________________________________
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 aardvark:/export/data0/Eros/raw/

Eros POINTING:

  OSOD and predicts are on aardvark:

/export/apps0/temp_data/data3/osod/ops/a433/PRDX.OUT.14f-14-14.s396
                              /PUNCH.OUT.14f-14-14.s396
                              /EPH.OUT.14f-14-14.s396


POINTING  
                                                          TX Offsets    
Date (UTC)   DOY  hhmmss    RA        Dec         Macro   LHA     Dec    RTT    OSOD
2012 01 30   030  060000    158.6927 -4.0718        A                    178.4  
2012 01 30   030  070000    158.6803 -4.1171        A                    178.4  
2012 01 30   030  080000    158.6674 -4.1623        A     0.60  -2.20    178.4  s396   
2012 01 30   030  090000    158.6542 -4.2074        A                    178.4  
2012 01 30   030  100000    158.6407 -4.2525        A                    178.4  

Transmit offsets are given in millidegrees.  


PRDX.OUT.14f-14-14.s396 TRANSMITTER: STATION #14, RECEIVER: STATION #14 RECEIVER U.T. RANGE DOPPLER LHA DEC RA EL 2012 JAN 30 06:00 178.3909020751 32511.647 303.3108 -4.0718 158.693 23.905 2012 JAN 30 06:10 178.3886445939 31896.119 305.8197 -4.0794 158.691 25.750 2012 JAN 30 06:20 178.3864314448 31246.822 308.3285 -4.0869 158.689 27.565 2012 JAN 30 06:30 178.3842649617 30564.842 310.8374 -4.0945 158.687 29.348 2012 JAN 30 06:40 178.3821473914 29851.327 313.3464 -4.1020 158.684 31.093 2012 JAN 30 06:50 178.3800809044 29107.486 315.8553 -4.1095 158.682 32.799 2012 JAN 30 07:00 178.3780675805 28334.586 318.3642 -4.1171 158.680 34.460 2012 JAN 30 07:10 178.3761094124 27533.951 320.8732 -4.1246 158.678 36.072 2012 JAN 30 07:20 178.3742082986 26706.957 323.3822 -4.1322 158.676 37.631 2012 JAN 30 07:30 178.3723660286 25855.030 325.8912 -4.1397 158.674 39.130 2012 JAN 30 07:40 178.3705843072 24979.646 328.4002 -4.1472 158.672 40.565 2012 JAN 30 07:50 178.3688647235 24082.324 330.9092 -4.1548 158.670 41.929 2012 JAN 30 08:00 178.3672087587 23164.626 333.4182 -4.1623 158.667 43.215 2012 JAN 30 08:10 178.3656177832 22228.152 335.9272 -4.1698 158.665 44.417 2012 JAN 30 08:20 178.3640930620 21274.541 338.4363 -4.1773 158.663 45.528 2012 JAN 30 08:30 178.3626357340 20305.462 340.9453 -4.1849 158.661 46.541 2012 JAN 30 08:40 178.3612468240 19322.614 343.4544 -4.1924 158.659 47.448 2012 JAN 30 08:50 178.3599272369 18327.724 345.9634 -4.1999 158.656 48.242 2012 JAN 30 09:00 178.3586777556 17322.540 348.4725 -4.2074 158.654 48.916 2012 JAN 30 09:10 178.3574990438 16308.833 350.9816 -4.2149 158.652 49.465 2012 JAN 30 09:20 178.3563916284 15288.385 353.4907 -4.2225 158.650 49.883 2012 JAN 30 09:30 178.3553559271 14262.997 355.9998 -4.2300 158.647 50.167 2012 JAN 30 09:40 178.3543922187 13234.476 358.5089 -4.2375 158.645 50.312 2012 JAN 30 09:50 178.3535006573 12204.634 1.0179 -4.2450 158.643 50.318 2012 JAN 30 10:00 178.3526812739 11175.289 3.5270 -4.2525 158.641 50.184 2012 JAN 30 10:10 178.3519339720 10148.255 6.0361 -4.2600 158.638 49.912 2012 JAN 30 10:20 178.3512585283 9125.344 8.5452 -4.2675 158.636 49.504 2012 JAN 30 10:30 178.3506545823 8108.357 11.0543 -4.2750 158.634 48.965 2012 JAN 30 10:40 178.3501216598 7099.086 13.5634 -4.2825 158.632 48.300 2012 JAN 30 10:50 178.3496591620 6099.308 16.0725 -4.2900 158.629 47.516 2012 JAN 30 11:00 178.3492663532 5110.780 18.5815 -4.2975 158.627 46.617

Eros GOLDSTONE MASTERLOG

============================================================================== Receive TX Setup hops dwell code ncoh FFT runs start -stop OSOD offset Poln Notes ------------------------------------------------------------------------------
Dr. Lance A. M. Benner | PHONE: (818) 354-7412 Mail Stop 300-233 | FAX: (818) 354-9476 Jet Propulsion Laboratory | email: lance.benner@jpl.nasa.gov California Institute of Technology | Plan: To live long and prosper Pasadena, CA 91109-8099 http://echo.jpl.nasa.gov/asteroids/433_Eros_2012/Eros_planning.html

Asteroid Radar Astronomy
*************************************************************************************************************