Orbit Fit and Astrometric record for 21CO10

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: 21CO10    
# Created Mon Dec  6 02:14:06 2021
# Orbit generated from Bernstein formalism
# Fitting     32 observations of     32
# Arc: 162.70d
# First observation: 2020/12/20
#  Last observation: 2021/06/01
Preliminary a, adot, b, bdot, g, gdot:
  -0.003784   0.494716  -0.000313  -0.083521   0.160280   0.000000
# Chi-squared of fit:    27.90 DOF:     58 RMS:  0.17
# Min/Max residuals:    -0.49    0.49
# Exact a, adot, b, bdot, g, gdot:
  4.277732E-05  3.576167E-01 -1.256987E-05 -8.558975E-02  1.330631E-01  8.311053E-02
# Covariance matrix:
  2.4164E-13 -2.0535E-12  3.2013E-14 -6.3429E-13  7.1963E-14  1.7769E-11
 -2.0535E-12  1.1442E-10  8.0389E-13  1.6563E-12  2.1558E-11 -6.0986E-11
  3.2013E-14  8.0389E-13  1.4045E-13 -7.2412E-13  3.1437E-13  6.6807E-12
 -6.3429E-13  1.6563E-12 -7.2412E-13  6.7244E-12 -1.9143E-12 -1.0118E-10
  7.1963E-14  2.1558E-11  3.1437E-13 -1.9143E-12  5.5528E-12  5.0051E-11
  1.7769E-11 -6.0986E-11  6.6807E-12 -1.0118E-10  5.0051E-11  2.8086E-09
#      lat0       lon0       xBary       yBary       zBary        JD0
   -3.957853  162.085447    0.946095   -0.020142   -0.290030  2459203.996051
# Heliocentric elements and errors
Epoch:              2459200.5000  =  2020/12/17
Mean Anomaly:            3.19314 +/-     0.004
Argument of Peri:      179.63329 +/-     0.020
Long of Asc Node:      320.02339 +/-     0.001
Inclination:            14.20848 +/-     0.000
Eccentricity:         0.59951790 +/-    0.0001
Semi-Major Axis:     19.32705225 +/-    0.0028
Time of Perihelion: 2458925.2275 +/-       0.3
Perihelion:           7.74013851 +/-    0.0018
Aphelion:            30.91396598 +/-    0.0047
Period (y)               84.9682 +/-      0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           -7.11294868 +/-    0.0001
Ecliptic Y            3.28943560 +/-    0.0000
Ecliptic Z           -0.51884350 +/-    0.0000
Ecliptic XDOT        -0.00376405 +/-    0.0000
Ecliptic YDOT        -0.00650841 +/-    0.0000
Ecliptic ZDOT        -0.00187511 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO    7.85389228 +/-    0.0001
Geocenter to KBO      7.51523366 +/-    0.0001
# Hcoef: 12.77

The following table shows the complete astrometric record for 21CO10. 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 (21CO10) followed by the observatory code and reference code for the source of the astrometry.

2020 12  20.49525  10 47 52.54   +03 22 02.3   22.1G 21CO10    G96  C~4ZxI      
2020 12  23.576896 10 47 55.800  +03 17 14.80  22.4G 21CO10    F52  C~4ZxI      
2020 12  23.588537 10 47 55.806  +03 17 13.91  21.8G 21CO10    F52  C~4ZxI      
2020 12  23.600235 10 47 55.794  +03 17 12.70  21.5G 21CO10    F52  C~4ZxI      
2020 12  23.611972 10 47 55.773  +03 17 11.85  21.7G 21CO10    F52  C~4ZxI      
2021 01  11.557396 10 46 36.462  +02 57 45.05  21.6G 21CO10    F51  C~4ZxI      
2021 01  11.568993 10 46 36.348  +02 57 45.22  21.7G 21CO10    F51  C~4ZxI      
2021 01  11.580640 10 46 36.250  +02 57 44.61  22.1G 21CO10    F51  C~4ZxI      
2021 01  15.521285 10 45 59.281  +02 55 51.40  22.0G 21CO10    F52  C~4ZxI      
2021 01  15.533479 10 45 59.140  +02 55 51.64  21.7G 21CO10    F52  C~4ZxI      
2021 02  07.32767  10 40 33.33   +02 58 12.5   22.1G 21CO10    G96  C~4ZxI      
2021 02  07.33282  10 40 33.24   +02 58 12.0         21CO10    G96  C~4ZxI      
2021 02  07.34313  10 40 33.06   +02 58 12.8   22.4G 21CO10    G96  C~4ZxI      
2021 02  07.44749  10 40 31.225  +02 58 16.31  21.6w 21CO10    F51  C~4ZxI      
2021 02  07.45943  10 40 30.999  +02 58 16.89  21.4w 21CO10    F51  C~4ZxI      
2021 02  07.47140  10 40 30.778  +02 58 17.18  21.4w 21CO10    F51  C~4ZxI      
2021 02  07.48349  10 40 30.557  +02 58 17.47  21.5w 21CO10    F51  C~4ZxI      
2021 02  10.516223 10 39 36.020  +03 00 05.99  22.3G 21CO10    F52  C~4ZxI      
2021 02  10.538284 10 39 35.561  +03 00 06.58  21.7G 21CO10    F52  C~4ZxI      
2021 02  17.474618 10 37 25.057  +03 05 14.41  21.3w 21CO10    F51  C~4ZxI      
2021 02  17.487438 10 37 24.798  +03 05 15.09  21.8w 21CO10    F51  C~4ZxI      
2021 02  17.500182 10 37 24.547  +03 05 15.60  21.4G 21CO10    F51  C~4ZxI      
2021 02  18.21419  10 37 10.79   +03 05 52.6   21.1G 21CO10    807  C~4ZxI      
2021 02  18.21808  10 37 10.72   +03 05 52.7   21.1G 21CO10    807  C~4ZxI      
2021 02  18.22196  10 37 10.64   +03 05 52.9   20.9G 21CO10    807  C~4ZxI      
2021 04  09.316242 10 23 14.043  +03 53 37.92  21.8w 21CO10    F51  C~4iWH      
2021 04  09.329336 10 23 13.902  +03 53 38.62  21.7w 21CO10    F51  C~4iWH      
2021 04  09.342426 10 23 13.764  +03 53 39.03  21.9w 21CO10    F51  C~4iWH      
2021 04  09.355530 10 23 13.633  +03 53 39.58  21.9w 21CO10    F51  C~4iWH      
2021 06  01.17252  10 24 54.67   +03 37 25.4   22.5R 21CO10    695  C~4pao      
2021 06  01.18535  10 24 54.84   +03 37 24.3   22.0R 21CO10    695  C~4pao      
2021 06  01.19819  10 24 55.00   +03 37 23.2   22.2R 21CO10    695  C~4pao      

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    -0.06       0.00     0.49
     2   0.0084    154.18     0.11    -247.52    -0.01
     3   0.0085    154.60     0.17    -248.31     0.16
     4   0.0085    154.89     0.09    -249.50    -0.05
     5   0.0085    154.92    -0.25    -250.41     0.02
     6   0.0604   -502.13     0.00   -1780.43    -0.35
     7   0.0604   -503.78    -0.34   -1780.92     0.12
     8   0.0605   -504.91    -0.17   -1782.04    -0.04
     9   0.0713   -974.59     0.23   -2096.63    -0.28
    10   0.0713   -976.63    -0.11   -2097.20     0.14
    11   0.1337  -5550.23     0.01   -3813.45     0.21
    12   0.1337  -5551.29     0.30   -3814.42    -0.39
    13   0.1337  -5554.09     0.21   -3814.70     0.08
    14   0.1340  -5580.90     0.19   -3821.84    -0.06
    15   0.1341  -5584.25    -0.01   -3822.58     0.06
    16   0.1341  -5587.43    -0.02   -3823.56    -0.06
    17   0.1341  -5590.61    -0.00   -3824.54    -0.16
    18   0.1424  -6388.97     0.04   -4032.74     0.33
    19   0.1425  -6395.57    -0.49   -4034.80    -0.17
    20   0.1615  -8325.21     0.04   -4487.89     0.04
    21   0.1615  -8329.07    -0.06   -4488.73     0.05
    22   0.1615  -8332.75     0.00   -4489.67    -0.06
    23   0.1635  -8537.98    -0.03   -4533.18    -0.01
    24   0.1635  -8538.99     0.11   -4533.48    -0.06
    25   0.1635  -8540.18     0.06   -4533.75    -0.07
    26   0.3007 -21303.41     0.13   -6592.47    -0.10
    27   0.3007 -21305.66    -0.03   -6592.61     0.05
    28   0.3007 -21307.75    -0.05   -6593.01    -0.04
    29   0.3008 -21309.80    -0.01   -6593.24     0.03
    30   0.4454 -19525.50    -0.02   -6931.88     0.14
    31   0.4454 -19522.70     0.01   -6931.94     0.09
    32   0.4455 -19520.05    -0.10   -6932.06    -0.02

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.

21CO10    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        19.594    19.644    19.545
ecceobj         0.601     0.601     0.601
incobj         14.176    14.176    14.176
qmin            7.623     7.694     7.643
qmax           31.372    31.455    37.818
amean          17.135    16.989    20.567
amin           16.349    15.713    18.610
amax           19.594    19.644    22.957
emean           0.546     0.528     0.618
emin            0.523     0.495     0.584
emax            0.601     0.601     0.648
imean          15.538    17.246    15.367
imin           15.376    15.532    14.977
imax           15.713    18.764    15.884
excite_mean     0.608     0.606     0.673
fracstop        0.001     0.002     0.002
cjmean          2.976     2.995     2.720

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       205.7     207.8     207.4
kozaiamp         25.8      24.1      22.7