Orbit Fit and Astrometric record for 96RQ20

The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.

# Object: 96RQ20    
# Created Tue Oct 24 01:36:56 2017
# Orbit generated from Bernstein formalism
# Fitting   53 observations of   53
# Arc:  17.08y
# First observation: 1996/09/06
#  Last observation: 2013/10/07
Preliminary a, adot, b, bdot, g, gdot:
  -0.000065   0.024251  -0.000799   0.014938   0.028196   0.000000
# Chi-squared of fit:   605.83 DOF:  100 RMS:  0.60
# Min/Max residuals:    -1.40    1.65
# Exact a, adot, b, bdot, g, gdot:
  8.818917E-06  2.317374E-02  1.347200E-05  1.429777E-02  2.593281E-02  3.006905E-04
# Covariance matrix:
  6.6517E-14 -7.1167E-15  2.8716E-15 -2.9908E-15  4.7993E-14 -1.3346E-14
 -7.1167E-15  1.1144E-14 -5.7458E-15  6.3584E-15  1.0747E-14  2.6698E-14
  2.8716E-15 -5.7458E-15  4.0612E-14 -7.0979E-15 -4.8176E-15 -1.5481E-14
 -2.9908E-15  6.3584E-15 -7.0979E-15  5.2463E-15  5.6802E-15  1.7108E-14
  4.7993E-14  1.0747E-14 -4.8176E-15  5.6802E-15  1.0857E-13  2.2380E-14
 -1.3346E-14  2.6698E-14 -1.5481E-14  1.7108E-14  2.2380E-14  7.1932E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.239398   11.843413    0.463835   -0.003862   -0.886917  2450332.734930
# Heliocentric elements and errors
Epoch:              2450330.5000  =  1996/09/04
Mean Anomaly:            1.74327 +/-     0.005
Argument of Peri:      357.38653 +/-     0.006
Long of Asc Node:       11.53774 +/-     0.000
Inclination:            31.63550 +/-     0.000
Eccentricity:         0.10400134 +/-    0.0000
Semi-Major Axis:     44.03152963 +/-    0.0025
Time of Perihelion: 2449813.7188 +/-       1.4
Perihelion:          39.45219163 +/-    0.0028
Aphelion:            48.61086762 +/-    0.0033
Period (y)              292.1823 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           38.70856274 +/-    0.0005
Ecliptic Y            7.63589702 +/-    0.0001
Ecliptic Z           -0.16056512 +/-    0.0000
Ecliptic XDOT        -0.00045805 +/-    0.0000
Ecliptic YDOT         0.00240671 +/-    0.0000
Ecliptic ZDOT         0.00150915 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.45485437 +/-    0.0005
Geocenter to KBO     38.56118752 +/-    0.0005
# Hcoef:  6.93

The following table shows the complete astrometric record for 96RQ20. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (96RQ20) followed by the observatory code and reference code for the source of the astrometry.

1996 09  06.23421  00 43 56.23   +04 27 44.6   22.6R 96RQ20    675  C28009      
1996 09  06.28925  00 43 56.00   +04 27 43.5         96RQ20    675  C28009      
1996 09  06.36167  00 43 55.65   +04 27 42.1         96RQ20    675  C28009      
1996 09  06.42944  00 43 55.34   +04 27 41.2         96RQ20    675  C28009      
1996 09  16.01451  00 43 11.01   +04 24 23.7         96RQ20    950  C28050      
1996 09  16.04688  00 43 10.85   +04 24 22.8         96RQ20    950  C28050      
1996 09  16.08161  00 43 10.70   +04 24 22.1         96RQ20    950  C28050      
1996 09  19.96360  00 42 51.79   +04 22 56.1         96RQ20    950  C28050      
1996 09  20.02245  00 42 51.54   +04 22 54.6         96RQ20    950  C28050      
1996 09  20.99336  00 42 46.78   +04 22 32.9         96RQ20    950  C28050      
1996 09  21.04044  00 42 46.55   +04 22 31.9         96RQ20    950  C28050      
1996 10  11.35505  00 41 04.20   +04 14 39.5   22.4R 96RQ20    675  C28909      
1996 10  11.39858  00 41 03.97   +04 14 38.5         96RQ20    675  C28909      
1996 10  11.43550  00 41 03.79   +04 14 37.6         96RQ20    675  C28909      
1996 11  13.13205  00 38 36.49   +04 03 49.3         96RQ20    711  C28519      
1996 11  13.14026  00 38 36.47   +04 03 49.0         96RQ20    711  C28519      
1996 11  13.15706  00 38 36.42   +04 03 49.0         96RQ20    711  C28519      
1996 11  13.21869  00 38 36.17   +04 03 48.0         96RQ20    711  C28519      
1996 11  13.22655  00 38 36.11   +04 03 47.8         96RQ20    711  C28519      
1996 11  14.09724  00 38 32.93   +04 03 35.1         96RQ20    711  C28519      
1996 11  14.10547  00 38 32.91   +04 03 35.2         96RQ20    711  C28519      
1996 11  14.11340  00 38 32.80   +04 03 35.4         96RQ20    711  C28519      
1996 11  14.12119  00 38 32.87   +04 03 34.8         96RQ20    711  C28519      
1997 01  06.86736  00 37 21.12   +04 03 42.9         96RQ20    950  C29066      
1997 01  08.87778  00 37 23.76   +04 04 16.8         96RQ20    950  C29066      
1997 09  06.47723  00 47 34.42   +05 44 06.3   22.3R 96RQ20    568  C30562      
1997 09  06.54293  00 47 34.12   +05 44 05.1   22.5R 96RQ20    568  C30562      
1997 09  07.44656  00 47 30.10   +05 43 47.9         96RQ20    675  C30579      
1997 09  07.46976  00 47 30.01   +05 43 47.4         96RQ20    675  C30579      
1997 09  24.43753  00 46 09.67   +05 37 55.3         96RQ20    568  Ca0009      
1997 09  24.51529  00 46 09.37   +05 37 53.5         96RQ20    568  Ca0009      
1997 09  27.23241  00 45 55.65   +05 36 52.2         96RQ20    696  Ca0009      
1997 09  27.34124  00 45 55.11   +05 36 49.4   22.6R 96RQ20    696  Ca0009      
1997 09  27.43969  00 45 54.55   +05 36 47.0         96RQ20    696  Ca0009      
1998 10  17.32156  00 47 54.84   +06 45 43.9         96RQ20    705  Ca2543      
1998 10  17.35560  00 47 54.67   +06 45 43.1         96RQ20    705  Ca2543      
1998 10  17.38808  00 47 54.51   +06 45 42.3         96RQ20    705  Ca2543      
1998 10  18.32192  00 47 49.86   +06 45 20.7         96RQ20    705  Ca2543      
1998 10  18.35945  00 47 49.68   +06 45 19.3         96RQ20    705  Ca2543      
2000 09  05.23010  00 58 40.76   +09 32 38.0   22.9R 96RQ20    309  Cc7333      
2000 09  05.23609  00 58 40.75   +09 32 37.9   24.3  96RQ20    309  Cc7333      
2000 09  05.24201  00 58 40.71   +09 32 37.7   23.4V 96RQ20    309  Cc7333      
2000 09  05.24685  00 58 40.68   +09 32 37.6   22.2I 96RQ20    309  Cc7333      
2000 09  05.25162  00 58 40.67   +09 32 37.7   22.9R 96RQ20    309  Cc7333      
2000 11  26.21554  00 52 24.66   +09 04 38.7   22.6R 96RQ20    695  Cc2083      
2000 11  26.29288  00 52 24.43   +09 04 37.6   22.4R 96RQ20    695  Cc2083      
2000 11  27.26503  00 52 21.50   +09 04 23.5   21.8R 96RQ20    695  Cc2083      
2009 01  17.190345 01 21 20.73   +18 49 26.3         96RQ20    645  C~1PqX      
2009 01  17.191174 01 21 20.73   +18 49 26.3         96RQ20    645  C~1PqX      
2009 01  17.193662 01 21 20.74   +18 49 26.3         96RQ20    645  C~1PqX      
2013 10  07.37412  01 47 33.58   +25 23 10.5   22.6R 96RQ20    695  C~0zdB      
2013 10  07.43479  01 47 33.26   +25 23 09.8         96RQ20    695  C~0zdB      
2013 10  07.49649  01 47 32.91   +25 23 08.8         96RQ20    695  C~0zdB      

The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.

  1   0.0000      0.00     1.10       0.00    -0.98
  2   0.0002     -3.60     1.29       0.33    -1.11
  3   0.0003     -8.96     0.94       1.09    -0.96
  4   0.0005    -13.58     1.03       2.07    -0.54
  5   0.0268   -701.02    -0.21      79.22     0.50
  6   0.0269   -703.57    -0.32      79.32     0.33
  7   0.0270   -705.91    -0.03      79.56     0.27
  8   0.0376   -999.85    -1.40     110.91     0.63
  9   0.0378  -1003.88    -0.88     110.99     0.21
 10   0.0404  -1077.89    -0.71     118.85     0.29
 11   0.0405  -1081.45    -0.61     119.27     0.31
 12   0.0962  -2675.31    -0.21     283.27     0.18
 13   0.0963  -2678.87    -0.32     283.70     0.23
 14   0.0964  -2681.70    -0.22     283.92     0.15
 15   0.1859  -4964.06     0.06     550.78     0.62
 16   0.1859  -4964.45     0.14     550.62     0.39
 17   0.1860  -4965.14     0.42     550.91     0.53
 18   0.1861  -4968.97     0.14     551.46     0.55
 19   0.1862  -4969.88    -0.31     551.63     0.65
 20   0.1885  -5018.66    -0.51     558.60     0.61
 21   0.1886  -5018.89    -0.28     558.81     0.74
 22   0.1886  -5020.33    -1.27     559.64     1.51
 23   0.1886  -5019.60    -0.10     558.68     0.48
 24   0.3358  -6004.66     0.60     987.47    -0.37
 25   0.3413  -5954.98     0.98    1003.15    -0.40
 26   1.0000   4789.34     0.58    2948.96    -0.51
 27   1.0002   4784.74     0.48    2949.60    -0.47
 28   1.0026   4722.74    -0.36    2957.10    -0.59
 29   1.0027   4721.31    -0.19    2957.16    -0.74
 30   1.0492   3479.08     0.37    3099.78    -0.23
 31   1.0494   3474.25     1.65    3099.87    -0.82
 32   1.0568   3261.67     0.12    3123.22     0.27
 33   1.0571   3253.15     0.22    3123.79    -0.11
 34   1.0574   3244.51    -0.62    3124.84     0.09
 35   2.1111   6511.19    -0.14    6240.25     0.33
 36   2.1112   6508.55    -0.11    6240.50     0.30
 37   2.1113   6506.04    -0.07    6240.69     0.24
 38   2.1139   6433.72     0.04    6247.70     0.23
 39   2.1140   6430.70    -0.03    6247.45    -0.32
 40   3.9973  19299.14     0.06   11813.72    -0.27
 41   3.9973  19298.97     0.27   11813.68    -0.38
 42   3.9973  19298.34     0.02   11813.72    -0.40
 43   3.9973  19297.88    -0.12   11813.80    -0.38
 44   3.9973  19297.79     0.09   11813.95    -0.28
 45   4.2217  13469.08    -1.10   12396.90    -0.46
 46   4.2219  13465.50    -0.93   12397.20    -0.49
 47   4.2246  13419.75    -1.01   12400.90    -0.57
 48  12.3640  51520.11     1.03   36495.59    -0.06
 49  12.3640  51520.11     1.01   36495.59    -0.05
 50  12.3640  51520.25     1.12   36495.53    -0.09
 51  17.0846  84480.36    -0.61   53784.68     0.27
 52  17.0847  84475.20    -0.36   53785.28     0.35
 53  17.0849  84469.46    -0.62   53785.68     0.25

The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.

96RQ20    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        44.227    44.234    44.219
ecceobj         0.108     0.108     0.108
incobj         31.584    31.584    31.584
qmin           38.540    38.532    38.555
qmax           49.559    49.560    49.599
amean          43.914    43.922    43.907
amin           43.565    43.580    43.557
amax           44.296    44.293    44.289
emean           0.105     0.105     0.105
emin            0.092     0.092     0.091
emax            0.120     0.120     0.120
imean          31.712    31.714    31.711
imin           31.447    31.432    31.444
imax           31.995    31.986    31.981
excite_mean     0.536     0.536     0.536
fracstop        1.000     1.000     1.000
cjmean          2.729     2.729     2.729

libcent 0      -180.0    -180.0    -180.0
libamp  0      -180.0    -180.0    -180.0
libcent 1      -180.0    -180.0    -180.0
libamp  1      -180.0    -180.0    -180.0
libcent 2      -180.0    -180.0    -180.0
libamp  2      -180.0    -180.0    -180.0
libcent 3      -180.0    -180.0    -180.0
libamp  3      -180.0    -180.0    -180.0
libcent 4      -180.0    -180.0    -180.0
libamp  4      -180.0    -180.0    -180.0

kozaimean       170.0     170.3     169.7
kozaiamp        180.0     179.9     180.0