Orbit Fit and Astrometric record for 10TJ

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: 10TJ      
# Created Fri Nov 16 02:08:59 2018
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   73 observations of   73
# Arc:   7.22y
# First observation: 2010/10/02
#  Last observation: 2017/12/20
# Chi-squared of fit:   145.91 DOF:  140 RMS:  0.25
# Min/Max residuals:    -0.88    1.05
# Exact a, adot, b, bdot, g, gdot:
  1.480295E-05  2.793005E-02  5.148704E-06  7.979937E-03  2.526201E-02  2.297560E-03
# Covariance matrix:
  1.0589E-13 -4.4446E-14  7.7729E-15 -1.0169E-14  4.5004E-15 -1.6851E-13
 -4.4446E-14  4.3695E-14 -1.2491E-14  1.3102E-14  1.3644E-14  2.1863E-13
  7.7729E-15 -1.2491E-14  8.2409E-14 -1.7830E-14 -9.5216E-15 -6.6728E-14
 -1.0169E-14  1.3102E-14 -1.7830E-14  7.6220E-15  3.7021E-15  7.1142E-14
  4.5004E-15  1.3644E-14 -9.5216E-15  3.7021E-15  5.0904E-14  6.5469E-14
 -1.6851E-13  2.1863E-13 -6.6728E-14  7.1142E-14  6.5469E-14  1.1865E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -36.927664   27.117829    0.312421   -0.568854   -0.756903  2455471.702106
# Heliocentric elements and errors
Epoch:              2455472.5000  =  2010/10/03
Mean Anomaly:            6.90522 +/-     0.003
Argument of Peri:      274.04944 +/-     0.007
Long of Asc Node:       91.29208 +/-     0.000
Inclination:            38.89848 +/-     0.000
Eccentricity:         0.37182836 +/-    0.0000
Semi-Major Axis:     63.54882467 +/-    0.0043
Time of Perihelion: 2451923.2671 +/-       1.6
Perihelion:          39.91956929 +/-    0.0038
Aphelion:            87.17808005 +/-    0.0065
Period (y)              506.6050 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.15473720 +/-    0.0003
Ecliptic Y           14.57689958 +/-    0.0001
Ecliptic Z          -23.78286011 +/-    0.0002
Ecliptic XDOT        -0.00073989 +/-    0.0000
Ecliptic YDOT         0.00302819 +/-    0.0000
Ecliptic ZDOT         0.00054174 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.34977972 +/-    0.0002
Geocenter to KBO     39.58510805 +/-    0.0004
# Hcoef:  5.57

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

2010 10  02.20134  02 35 26.372  -23 58 18.33  21.4R 10TJ      809  C~0NKV      
2010 10  02.28428  02 35 26.018  -23 58 21.90  21.1R 10TJ      809  C~0NKV      
2010 10  03.09686  02 35 22.486  -23 58 52.35  21.1R 10TJ      809  C~0NKV      
2010 10  03.18144  02 35 22.072  -23 58 55.09  21.2R 10TJ      809  C~0NKV      
2010 10  03.26470  02 35 21.692  -23 58 58.00  21.1R 10TJ      809  C~0NKV      
2010 10  16.47928  02 34 18.892  -24 06 06.20  21.6G 10TJ      F51  C~2jgr      
2010 11  05.11707  02 32 35.98   -24 12 07.6         10TJ      807  C~0X6r      
2010 11  05.16021  02 32 35.75   -24 12 07.9         10TJ      807  C~0X6r      
2010 11  23.39552  02 31 01.453  -24 11 57.90  21.4G 10TJ      F51  C~2jgr      
2010 12  04.33959  02 30 10.578  -24 09 01.36  20.5G 10TJ      F51  C~2jgr      
2010 12  29.09033  02 28 45.31   -23 54 57.1         10TJ      807  C~0X6r      
2010 12  29.13298  02 28 45.21   -23 54 54.9         10TJ      807  C~0X6r      
2011 08  19.60464  02 42 55.301  -22 22 24.85  22.5G 10TJ      F51  C~2jgr      
2011 08  19.61553  02 42 55.301  -22 22 25.34  22.4G 10TJ      F51  C~2jgr      
2011 10  06.15058  02 40 48.418  -22 57 45.04  20.0R 10TJ      807  C~0ev9      
2011 10  06.27661  02 40 47.869  -22 57 48.81  20.6R 10TJ      807  C~0ev9      
2011 12  25.13749  02 34 34.57   -22 56 48.0   21.1R 10TJ      688  C~0ev9      
2011 12  25.19936  02 34 34.34   -22 56 46.6         10TJ      688  C~0ev9      
2012 11  02.37923  02 44 02.400  -22 06 22.47  21.7G 10TJ      F51  C~2jgr      
2012 11  02.39137  02 44 02.341  -22 06 22.54  21.6G 10TJ      F51  C~2jgr      
2012 11  29.30851  02 41 45.095  -22 06 17.34  22.3G 10TJ      F51  C~2jgr      
2013 01  10.44324  02 39 28.29   -21 42 14.9   19.9R 10TJ      E10  C~0ngt      
2013 01  10.47338  02 39 28.22   -21 42 13.4   19.5R 10TJ      E10  C~0ngt      
2013 10  22.43123  02 50 27.170  -20 59 38.07  21.6G 10TJ      F51  C~2jgr      
2014 08  18.55830  02 58 53.742  -19 13 17.72  21.7G 10TJ      F51  C~2jgr      
2014 08  18.56950  02 58 53.746  -19 13 18.04  21.9G 10TJ      F51  C~2jgr      
2014 08  18.58071  02 58 53.746  -19 13 18.51  22.0G 10TJ      F51  C~2jgr      
2014 08  18.59191  02 58 53.740  -19 13 19.11  22.2G 10TJ      F51  C~2jgr      
2014 08  19.57813  02 58 53.643  -19 14 01.78  21.9G 10TJ      F51  C~2jgr      
2014 09  07.61657  02 58 33.182  -19 28 11.21  21.7G 10TJ      F51  C~2jgr      
2014 09  07.61962  02 58 33.171  -19 28 11.37  21.9G 10TJ      F51  C~2jgr      
2014 09  07.62225  02 58 33.178  -19 28 11.39  22.3G 10TJ      F51  C~2jgr      
2014 09  07.62488  02 58 33.148  -19 28 11.58  21.9G 10TJ      F51  C~2jgr      
2014 09  24.55235  02 57 47.344  -19 40 23.40  21.5G 10TJ      F51  C~2jgr      
2014 09  24.56286  02 57 47.305  -19 40 23.69  21.5G 10TJ      F51  C~2jgr      
2014 09  24.57351  02 57 47.264  -19 40 24.13  21.4G 10TJ      F51  C~2jgr      
2014 09  24.58401  02 57 47.247  -19 40 24.61  21.7G 10TJ      F51  C~2jgr      
2014 10  05.50728  02 57 05.881  -19 47 25.21  21.9G 10TJ      F51  C~2jgr      
2014 10  12.52406  02 56 35.431  -19 51 22.31  21.2G 10TJ      F51  C~2jgr      
2015 01  02.30545  02 50 26.883  -19 45 31.85  21.8G 10TJ      F51  C~2jgr      
2016 10  08.54231  03 07 09.544  -17 41 57.05  21.5G 10TJ      F51  C~2jgr      
2016 10  08.55261  03 07 09.487  -17 41 57.63  21.4G 10TJ      F51  C~2jgr      
2016 10  10.51743  03 07 01.200  -17 43 02.54  21.6G 10TJ      F51  C~2jgr      
2016 10  10.53004  03 07 01.133  -17 43 02.97  21.3G 10TJ      F51  C~2jgr      
2016 10  10.54270  03 07 01.080  -17 43 03.49  21.4G 10TJ      F51  C~2jgr      
2016 10  10.55531  03 07 01.028  -17 43 03.85  20.7G 10TJ      F51  C~2jgr      
2016 11  06.43643  03 04 51.460  -17 53 30.78  21.5G 10TJ      F51  C~2jgr      
2016 11  06.44752  03 04 51.394  -17 53 30.87  21.6G 10TJ      F51  C~2jgr      
2016 11  06.45861  03 04 51.343  -17 53 31.16  21.3G 10TJ      F51  C~2jgr      
2016 11  06.46973  03 04 51.274  -17 53 31.26  21.4G 10TJ      F51  C~2jgr      
2016 12  15.39781  03 01 43.916  -17 49 59.97  22.2G 10TJ      F51  C~2jgr      
2016 12  15.40880  03 01 43.876  -17 49 59.67  22.6G 10TJ      F51  C~2jgr      
2016 12  15.41978  03 01 43.838  -17 49 59.55  21.8G 10TJ      F51  C~2jgr      
2016 12  15.43076  03 01 43.776  -17 49 59.32  22.0G 10TJ      F51  C~2jgr      
2016 12  23.28284  03 01 14.395  -17 46 23.28  21.8G 10TJ      F51  C~2jgr      
2016 12  23.29320  03 01 14.365  -17 46 22.95  21.9G 10TJ      F51  C~2jgr      
2016 12  23.30356  03 01 14.322  -17 46 22.65  21.7G 10TJ      F51  C~2jgr      
2016 12  23.31392  03 01 14.287  -17 46 22.27  21.8G 10TJ      F51  C~2jgr      
2017 01  30.23277  03 00 06.205  -17 17 48.36  21.6G 10TJ      F51  C~2jgr      
2017 01  30.24307  03 00 06.219  -17 17 47.46  21.6G 10TJ      F51  C~2jgr      
2017 01  30.25337  03 00 06.211  -17 17 47.29  21.6G 10TJ      F51  C~2jgr      
2017 01  30.26367  03 00 06.212  -17 17 46.52  21.6G 10TJ      F51  C~2jgr      
2017 09  14.56282  03 13 27.903  -16 22 43.46  21.7G 10TJ      F51  C~2jgr      
2017 09  14.57425  03 13 27.880  -16 22 43.94  21.8G 10TJ      F51  C~2jgr      
2017 09  14.58572  03 13 27.850  -16 22 44.49  21.9G 10TJ      F51  C~2jgr      
2017 09  14.59714  03 13 27.832  -16 22 45.00  21.8G 10TJ      F51  C~2jgr      
2017 10  10.56491  03 12 02.557  -16 39 04.01  21.7G 10TJ      F51  C~2jgr      
2017 10  30.46641  03 10 30.219  -16 47 46.93  21.6G 10TJ      F51  C~2jgr      
2017 10  30.47737  03 10 30.186  -16 47 47.26  21.4G 10TJ      F51  C~2jgr      
2017 10  30.48834  03 10 30.128  -16 47 47.26  21.7G 10TJ      F51  C~2jgr      
2017 10  30.49927  03 10 30.080  -16 47 47.51  21.5G 10TJ      F51  C~2jgr      
2017 12  20.25483  03 06 27.687  -16 45 04.17  21.4R 10TJ      G37  C~2UwO      
2017 12  20.29435  03 06 27.537  -16 45 03.09        10TJ      G37  C~2UwO      

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     0.57       0.00     0.18
  2   0.0002      0.00     0.79       0.00    -0.25
  3   0.0025      0.00     1.05       0.00    -0.37
  4   0.0027      0.00     0.51       0.00     0.06
  5   0.0029      0.00     0.43       0.00     0.25
  6   0.0391      0.00     0.02       0.00    -0.31
  7   0.0929      0.00    -0.36       0.00     0.32
  8   0.0930      0.00    -0.31       0.00     0.41
  9   0.1429      0.00    -0.09       0.00    -0.32
 10   0.1729      0.00    -0.24       0.00     0.13
 11   0.2406      0.00    -0.53       0.00     0.03
 12   0.2407      0.00    -0.44       0.00     0.28
 13   0.8800      0.00    -0.14       0.00    -0.08
 14   0.8800      0.00    -0.04       0.00    -0.05
 15   1.0101      0.00    -0.83       0.00    -0.16
 16   1.0105      0.00    -0.47       0.00     0.55
 17   1.2291      0.00     0.39       0.00     0.21
 18   1.2293      0.00    -0.29       0.00    -0.88
 19   2.0867      0.00    -0.02       0.00     0.01
 20   2.0868      0.00     0.07       0.00     0.11
 21   2.1605      0.00     0.39       0.00    -0.09
 22   2.2758      0.00    -0.42       0.00    -0.05
 23   2.2759      0.00    -0.80       0.00    -0.12
 24   3.0561      0.00    -0.01       0.00     0.25
 25   3.8778      0.00    -0.11       0.00    -0.13
 26   3.8778      0.00    -0.03       0.00     0.04
 27   3.8778      0.00    -0.01       0.00     0.05
 28   3.8779      0.00    -0.08       0.00    -0.06
 29   3.8806      0.00    -0.08       0.00     0.02
 30   3.9327      0.00     0.11       0.00    -0.01
 31   3.9327      0.00     0.04       0.00    -0.03
 32   3.9327      0.00     0.23       0.00     0.07
 33   3.9327      0.00    -0.14       0.00    -0.01
 34   3.9791      0.00    -0.01       0.00    -0.07
 35   3.9791      0.00    -0.04       0.00     0.07
 36   3.9791      0.00    -0.10       0.00     0.06
 37   3.9791      0.00     0.19       0.00     0.01
 38   4.0091      0.00    -0.17       0.00     0.00
 39   4.0283      0.00     0.00       0.00    -0.05
 40   4.2522      0.00    -0.04       0.00    -0.44
 41   6.0187      0.00     0.18       0.00     0.18
 42   6.0188      0.00    -0.02       0.00    -0.05
 43   6.0241      0.00     0.03       0.00    -0.00
 44   6.0242      0.00    -0.15       0.00    -0.03
 45   6.0242      0.00    -0.11       0.00    -0.13
 46   6.0242      0.00    -0.07       0.00    -0.09
 47   6.0978      0.00     0.12       0.00     0.07
 48   6.0979      0.00    -0.00       0.00     0.12
 49   6.0979      0.00     0.10       0.00    -0.03
 50   6.0979      0.00    -0.06       0.00     0.01
 51   6.2045      0.00     0.14       0.00     0.14
 52   6.2045      0.00     0.21       0.00     0.18
 53   6.2046      0.00     0.32       0.00     0.03
 54   6.2046      0.00     0.06       0.00    -0.00
 55   6.2261      0.00     0.08       0.00     0.05
 56   6.2261      0.00     0.18       0.00     0.06
 57   6.2262      0.00     0.09       0.00     0.03
 58   6.2262      0.00     0.12       0.00     0.09
 59   6.3300      0.00     0.10       0.00    -0.06
 60   6.3300      0.00     0.32       0.00     0.26
 61   6.3301      0.00     0.20       0.00    -0.15
 62   6.3301      0.00     0.22       0.00     0.03
 63   6.9524      0.00    -0.20       0.00     0.00
 64   6.9524      0.00    -0.14       0.00    -0.01
 65   6.9525      0.00    -0.19       0.00    -0.08
 66   6.9525      0.00    -0.06       0.00    -0.12
 67   7.0236      0.00    -0.12       0.00    -0.06
 68   7.0781      0.00    -0.33       0.00    -0.03
 69   7.0781      0.00     0.01       0.00    -0.15
 70   7.0781      0.00    -0.02       0.00     0.06
 71   7.0782      0.00     0.09       0.00     0.02
 72   7.2171      0.00    -0.02       0.00     0.07
 73   7.2172      0.00     0.00       0.00     0.09

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.

10TJ    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        63.720    63.720    63.720
ecceobj         0.373     0.373     0.373
incobj         38.892    38.892    38.892
qmin           39.345    39.325    39.326
qmax           87.662    87.552    87.628
amean          62.880    62.881    62.881
amin           62.131    62.129    62.135
amax           63.799    63.757    63.783
emean           0.349     0.349     0.349
emin            0.324     0.325     0.324
emax            0.374     0.373     0.374
imean          37.824    37.824    37.824
imin           37.227    37.225    37.227
imax           38.518    38.526    38.518
excite_mean     0.706     0.706     0.706
fracstop        1.000     1.000     1.000
cjmean          2.618     2.618     2.618

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       161.6     161.5     161.5
kozaiamp        179.9     179.9     180.0