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 Thu Apr 15 01:12:42 2021
# Orbit generated from Bernstein formalism
# Fitting     48 observations of     48
# Arc:   4.79y
# First observation: 2010/05/21
#  Last observation: 2015/03/04
Preliminary a, adot, b, bdot, g, gdot:
   0.000013   0.018025  -0.000041  -0.008404   0.021575   0.000000
# Chi-squared of fit:    64.38 DOF:     90 RMS:  0.20
# Min/Max residuals:    -0.62    0.55
# Exact a, adot, b, bdot, g, gdot:
  1.604810E-05  1.813825E-02 -7.441284E-06 -8.499137E-03  2.202292E-02 -8.601114E-04
# Covariance matrix:
  1.0650E-13 -1.1653E-13 -9.0202E-15  1.7794E-14  9.6848E-14 -7.2178E-13
 -1.1653E-13  2.0498E-13  1.9582E-14 -3.9212E-14 -1.7793E-13  1.5501E-12
 -9.0202E-15  1.9582E-14  6.6347E-14 -3.5315E-14 -6.5338E-15  2.1473E-13
  1.7794E-14 -3.9212E-14 -3.5315E-14  3.9158E-14  6.6046E-15 -4.5247E-13
  9.6848E-14 -1.7793E-13 -6.5338E-15  6.6046E-15  4.1877E-13 -7.0430E-13
 -7.2178E-13  1.5501E-12  2.1473E-13 -4.5247E-13 -7.0430E-13  1.6349E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.416964 -111.554313    0.156312   -0.129135   -0.991794  2455337.615016
# Heliocentric elements and errors
Epoch:              2455330.5000  =  2010/05/14
Mean Anomaly:          245.21624 +/-     0.110
Argument of Peri:      317.07490 +/-     0.100
Long of Asc Node:       53.19813 +/-     0.000
Inclination:            26.11223 +/-     0.001
Eccentricity:         0.05581178 +/-    0.0002
Semi-Major Axis:     45.23058663 +/-    0.0060
Time of Perihelion: 2490756.7115 +/-      33.3
Perihelion:          42.70618694 +/-    0.0108
Aphelion:            47.75498632 +/-    0.0112
Period (y)              304.1981 +/-      0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -17.05033250 +/-    0.0005
Ecliptic Y          -42.75368136 +/-    0.0012
Ecliptic Z           -5.86190649 +/-    0.0002
Ecliptic XDOT         0.00218794 +/-    0.0000
Ecliptic YDOT        -0.00059694 +/-    0.0000
Ecliptic ZDOT        -0.00103399 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.39992517 +/-    0.0011
Geocenter to KBO     45.40723916 +/-    0.0013
# Hcoef:  4.19

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      

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    -0.62       0.00     0.28
     2   0.0002     -3.95    -0.04      -0.48     0.26
     3   0.0058   -138.91    -0.26     -13.72    -0.29
     4   0.0059   -142.25    -0.07     -14.02    -0.27
     5   0.0060   -145.88    -0.16     -14.33    -0.27
     6   0.0410   -997.01    -0.34     -77.66    -0.25
     7   0.0412  -1001.46    -0.09     -77.65     0.06
     8   0.0414  -1005.34     0.19     -78.03    -0.08
     9   0.0473  -1150.61    -0.11     -86.04     0.11
    10   0.0474  -1151.55    -0.08     -86.00     0.21
    11   0.0507  -1230.98     0.02     -90.17    -0.02
    12   0.0507  -1231.85     0.01     -90.16     0.04
    13   0.0508  -1232.92     0.13     -90.24     0.01
    14   0.0695  -1676.61     0.47    -109.16    -0.13
    15   0.0718  -1730.36     0.38    -111.01    -0.22
    16   0.0719  -1731.04     0.36    -110.93    -0.11
    17   0.0720  -1734.51     0.02    -110.92    -0.00
    18   0.9502   4879.33     0.23   -1609.30    -0.30
    19   0.9504   4874.42     0.46   -1610.10    -0.23
    20   0.9507   4868.74     0.55   -1611.16    -0.35
    21   0.9746   4337.95    -0.54   -1688.22     0.27
    22   0.9748   4333.82    -0.48   -1688.82     0.23
    23   0.9750   4329.74    -0.17   -1689.44     0.20
    24   1.0084   3539.66    -0.06   -1775.70     0.12
    25   1.0084   3538.63    -0.13   -1775.86     0.05
    26   1.0085   3537.59    -0.11   -1775.93     0.08
    27   1.0085   3536.67     0.02   -1775.98     0.13
    28   1.0248   3138.38     0.04   -1808.51     0.08
    29   1.0249   3137.46     0.09   -1808.55     0.10
    30   1.8264  10270.92     0.15   -2776.22    -0.01
    31   1.8268  10269.38     0.12   -2778.25     0.01
    32   1.8270  10268.49     0.10   -2779.39    -0.03
    33   1.8292  10259.45     0.17   -2791.49    -0.02
    34   1.8295  10257.88     0.18   -2793.34     0.05
    35   1.8297  10256.73     0.06   -2794.51     0.06
    36   1.8318  10246.99     0.05   -2806.21    -0.04
    37   1.8321  10245.53     0.15   -2807.93    -0.02
    38   1.8323  10244.71     0.08   -2808.65     0.06
    39   1.8330  10240.85    -0.04   -2812.84     0.12
    40   1.8330  10240.62    -0.11   -2813.08     0.05
    41   1.8331  10240.20    -0.34   -2812.93     0.38
    42   1.9777   8014.55    -0.13   -3456.39     0.09
    43   1.9777   8014.04    -0.02   -3456.47     0.10
    44   1.9777   8013.40     0.03   -3456.56     0.09
    45   2.0022   7435.53    -0.05   -3522.57    -0.16
    46   2.0023   7435.01     0.10   -3522.55    -0.07
    47   4.7864  21406.18    -0.14   -7754.39    -0.19
    48   4.7864  21406.31    -0.03   -7754.37    -0.14

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        44.961    44.979    44.943
ecceobj         0.059     0.058     0.059
incobj         26.178    26.177    26.179
qmin           42.111    42.126    42.046
qmax           48.581    48.568    48.593
amean          45.228    45.247    45.210
amin           44.884    44.898    44.870
amax           45.593    45.613    45.586
emean           0.055     0.054     0.055
emin            0.045     0.045     0.046
emax            0.066     0.065     0.066
imean          25.052    25.052    25.053
imin           24.808    24.802    24.804
imax           25.326    25.324    25.315
excite_mean     0.427     0.427     0.427
fracstop        1.000     1.000     1.000
cjmean          2.884     2.884     2.883

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       168.7     168.8     168.0
kozaiamp        180.0     180.0     180.0