Orbit Fit and Astrometric record for 10KZ39

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: 10KZ39    
# Created Wed Jun  8 01:10:55 2022
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     50 observations of     50
# Arc:  11.94y
# First observation: 2010/05/21
#  Last observation: 2022/04/29
# Chi-squared of fit:    82.42 DOF:     94 RMS:  0.23
# Min/Max residuals:    -0.63    0.53
# Exact a, adot, b, bdot, g, gdot:
  1.592813E-05  1.813858E-02 -7.268935E-06 -8.499422E-03  2.202307E-02 -8.532231E-04
# Covariance matrix:
  7.6686E-14 -5.8496E-14 -1.8821E-14  2.0694E-14  5.2507E-14 -2.1625E-13
 -5.8496E-14  8.2902E-14  2.8821E-14 -3.0844E-14 -1.0845E-13  3.2423E-13
 -1.8821E-14  2.8821E-14  5.2525E-14 -1.9261E-14 -3.9237E-14  1.2012E-13
  2.0694E-14 -3.0844E-14 -1.9261E-14  1.7364E-14  3.6741E-14 -1.3017E-13
  5.2507E-14 -1.0845E-13 -3.9237E-14  3.6741E-14  3.2183E-13 -3.9845E-13
 -2.1625E-13  3.2423E-13  1.2012E-13 -1.3017E-13 -3.9845E-13  1.3646E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.416964 -111.554313    0.156312   -0.129135   -0.991794  2455337.615016
# Heliocentric elements and errors
Epoch:              2455338.5000  =  2010/05/22
Mean Anomaly:          245.05036 +/-     0.081
Argument of Peri:      317.22733 +/-     0.068
Long of Asc Node:       53.19838 +/-     0.000
Inclination:            26.11257 +/-     0.000
Eccentricity:         0.05551170 +/-    0.0001
Semi-Major Axis:     45.22990289 +/-    0.0052
Time of Perihelion: 2490815.1030 +/-      28.3
Perihelion:          42.71911428 +/-    0.0064
Aphelion:            47.74069150 +/-    0.0068
Period (y)              304.1912 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -17.05022531 +/-    0.0004
Ecliptic Y          -42.75339513 +/-    0.0011
Ecliptic Z           -5.86185881 +/-    0.0001
Ecliptic XDOT         0.00218765 +/-    0.0000
Ecliptic YDOT        -0.00059774 +/-    0.0000
Ecliptic ZDOT        -0.00103413 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.39964804 +/-    0.0010
Geocenter to KBO     45.40699345 +/-    0.0012
# Hcoef:  4.00

The following table shows the complete astrometric record for 10KZ39. 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 (10KZ39) followed by the observatory code and reference code for the source of the astrometry.

2010 05  21.11425  16 21 30.197  -29 01 56.15        10KZ39    304  C~0I3z      
2010 05  21.18206  16 21 29.894  -29 01 55.96        10KZ39    304  C~0I3z      
2010 05  23.21814  16 21 19.580  -29 01 46.43  20.2R 10KZ39    304  C~0I3z      
2010 05  23.27052  16 21 19.325  -29 01 46.17        10KZ39    304  C~0I3z      
2010 05  23.32313  16 21 19.048  -29 01 45.87        10KZ39    304  C~0I3z      
2010 06  05.08738  16 20 14.276  -29 00 24.75        10KZ39    304  C~0IRz      
2010 06  05.15706  16 20 13.942  -29 00 23.98        10KZ39    304  C~0IRz      
2010 06  05.21869  16 20 13.646  -29 00 23.70        10KZ39    304  C~0IRz      
2010 06  07.40793  16 20 02.63   -29 00 06.9   20.7r 10KZ39    F51  C~3spe      
2010 06  07.42247  16 20 02.56   -29 00 06.7         10KZ39    F51  C~3spe      
2010 06  08.62734  16 19 56.540  -28 59 57.28  20.2R 10KZ39    E10  C~0IRz      
2010 06  08.64014  16 19 56.475  -28 59 57.12  20.3R 10KZ39    E10  C~0IRz      
2010 06  08.65818  16 19 56.393  -28 59 57.02  19.7R 10KZ39    E10  C~0IRz      
2010 06  15.50253  16 19 22.83   -28 58 59.8   21.0V 10KZ39    F65  C~0Jas      
2010 06  16.34900  16 19 18.77   -28 58 52.4         10KZ39    F51  C~3spe      
2010 06  16.35924  16 19 18.72   -28 58 52.2         10KZ39    F51  C~3spe      
2010 06  16.40770  16 19 18.46   -28 58 51.6   20.4R 10KZ39    F65  C~0Jas      
2011 05  03.16532  16 27 18.670  -29 41 29.72  20.0R 10KZ39    304  C~0WGM      
2011 05  03.25269  16 27 18.288  -29 41 29.75        10KZ39    304  C~0WGM      
2011 05  03.35027  16 27 17.845  -29 41 29.92        10KZ39    304  C~0WGM      
2011 05  12.10452  16 26 36.708  -29 41 23.50  20.1R 10KZ39    304  C~0WGM      
2011 05  12.17048  16 26 36.388  -29 41 23.45        10KZ39    304  C~0WGM      
2011 05  12.23944  16 26 36.071  -29 41 23.42        10KZ39    304  C~0WGM      
2011 05  24.42643  16 25 35.18   -29 40 44.3   20.8r 10KZ39    F51  C~3spe      
2011 05  24.44060  16 25 35.10   -29 40 44.3         10KZ39    F51  C~3spe      
2011 05  24.45642  16 25 35.02   -29 40 44.2   20.4i 10KZ39    F51  C~3spe      
2011 05  24.47193  16 25 34.95   -29 40 44.1   20.8i 10KZ39    F51  C~3spe      
2011 05  30.43943  16 25 04.39   -29 40 12.9   20.7r 10KZ39    F51  C~3spe      
2011 05  30.45376  16 25 04.32   -29 40 12.8         10KZ39    F51  C~3spe      
2012 03  18.21466  16 33 55.14   -30 13 57.5   20.8R 10KZ39    304  C~0ger      
2012 03  18.34579  16 33 55.00   -30 13 59.3         10KZ39    304  C~0ger      
2012 03  18.41737  16 33 54.92   -30 14 00.3         10KZ39    304  C~0ger      
2012 03  19.21843  16 33 54.10   -30 14 11.0         10KZ39    304  C~0ger      
2012 03  19.34123  16 33 53.96   -30 14 12.6         10KZ39    304  C~0ger      
2012 03  19.41778  16 33 53.86   -30 14 13.6         10KZ39    304  C~0ger      
2012 03  20.18933  16 33 52.99   -30 14 23.8         10KZ39    304  C~0ger      
2012 03  20.30113  16 33 52.86   -30 14 25.3         10KZ39    304  C~0ger      
2012 03  20.35278  16 33 52.79   -30 14 25.9         10KZ39    304  C~0ger      
2012 03  20.62407  16 33 52.45   -30 14 29.5         10KZ39    F51  C~3spe      
2012 03  20.63495  16 33 52.43   -30 14 29.7         10KZ39    F51  C~3spe      
2012 03  20.64687  16 33 52.40   -30 14 29.5         10KZ39    F51  C~3spe      
2012 05  12.45704  16 30 55.55   -30 19 46.6         10KZ39    F51  C~3spe      
2012 05  12.46680  16 30 55.51   -30 19 46.6         10KZ39    F51  C~3spe      
2012 05  12.47767  16 30 55.46   -30 19 46.6         10KZ39    F51  C~3spe      
2012 05  21.43215  16 30 10.63   -30 19 26.7         10KZ39    F51  C~3spe      
2012 05  21.44231  16 30 10.59   -30 19 26.6         10KZ39    F51  C~3spe      
2015 03  04.345048 16 47 21.01   -31 58 56.8         10KZ39    W84  C~3spe      
2015 03  04.347121 16 47 21.02   -31 58 56.8         10KZ39    W84  C~3spe      
2022 04  29.21437  17 19 58.37   -36 09 48.2   20.2G 10KZ39    X01  C~5aXo      
2022 04  29.28121  17 19 58.12   -36 09 49.0   20.0G 10KZ39    X01  C~5aXo      

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    -0.63       0.00     0.34
     2   0.0002      0.00     0.03       0.00     0.22
     3   0.0058      0.00    -0.33       0.00    -0.28
     4   0.0059      0.00    -0.11       0.00    -0.30
     5   0.0060      0.00    -0.22       0.00    -0.28
     6   0.0410      0.00    -0.40       0.00    -0.23
     7   0.0412      0.00    -0.06       0.00     0.03
     8   0.0414      0.00     0.23       0.00    -0.15
     9   0.0473      0.00    -0.08       0.00     0.10
    10   0.0474      0.00    -0.02       0.00     0.18
    11   0.0507      0.00     0.05       0.00    -0.06
    12   0.0507      0.00     0.04       0.00    -0.00
    13   0.0508      0.00     0.18       0.00    -0.05
    14   0.0695      0.00     0.53       0.00    -0.24
    15   0.0718      0.00     0.41       0.00    -0.32
    16   0.0719      0.00     0.41       0.00    -0.21
    17   0.0720      0.00     0.05       0.00    -0.04
    18   0.9502      0.00     0.18       0.00    -0.32
    19   0.9504      0.00     0.45       0.00    -0.28
    20   0.9507      0.00     0.53       0.00    -0.42
    21   0.9746      0.00    -0.60       0.00     0.36
    22   0.9748      0.00    -0.54       0.00     0.32
    23   0.9750      0.00    -0.20       0.00     0.24
    24   1.0084      0.00    -0.08       0.00     0.15
    25   1.0084      0.00    -0.18       0.00     0.08
    26   1.0085      0.00    -0.14       0.00     0.11
    27   1.0085      0.00     0.01       0.00     0.14
    28   1.0248      0.00     0.02       0.00     0.09
    29   1.0249      0.00     0.09       0.00     0.10
    30   1.8264      0.00     0.16       0.00     0.00
    31   1.8268      0.00     0.13       0.00     0.02
    32   1.8270      0.00     0.09       0.00    -0.01
    33   1.8292      0.00     0.18       0.00    -0.01
    34   1.8295      0.00     0.20       0.00     0.06
    35   1.8297      0.00     0.06       0.00     0.08
    36   1.8318      0.00     0.03       0.00    -0.01
    37   1.8321      0.00     0.15       0.00    -0.00
    38   1.8323      0.00     0.09       0.00     0.08
    39   1.8330      0.00    -0.05       0.00     0.16
    40   1.8330      0.00    -0.13       0.00     0.10
    41   1.8331      0.00    -0.35       0.00     0.46
    42   1.9777      0.00    -0.17       0.00     0.15
    43   1.9777      0.00    -0.04       0.00     0.14
    44   1.9777      0.00     0.02       0.00     0.12
    45   2.0022      0.00    -0.13       0.00    -0.11
    46   2.0023      0.00     0.06       0.00    -0.05
    47   4.7864      0.00     0.18       0.00    -0.22
    48   4.7864      0.00     0.30       0.00    -0.18
    49  11.9400      0.00    -0.18       0.00    -0.10
    50  11.9402      0.00     0.01       0.00     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.

10KZ39    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        44.963    44.963    44.963
ecceobj         0.058     0.058     0.058
incobj         26.177    26.177    26.177
qmin           42.093    42.092    42.098
qmax           48.540    48.536    48.542
amean          45.230    45.230    45.230
amin           44.878    44.884    44.874
amax           45.591    45.589    45.585
emean           0.055     0.055     0.055
emin            0.045     0.045     0.045
emax            0.065     0.065     0.065
imean          25.052    25.052    25.052
imin           24.809    24.809    24.809
imax           25.315    25.313    25.312
excite_mean     0.427     0.427     0.427
fracstop        1.000     1.000     1.000
cjmean          2.884     2.884     2.884

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       168.6     168.7     168.5
kozaiamp        179.9     180.0     180.0