Orbit Fit and Astrometric record for 10TH

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: 10TH      
# Created Mon Oct 23 01:37:55 2017
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting   68 observations of   69
# Arc:  15.31y
# First observation: 2001/06/22
#  Last observation: 2016/10/13
# Chi-squared of fit:   136.50 DOF:  130 RMS:  0.25
# Min/Max residuals:    -1.18    0.93
# Exact a, adot, b, bdot, g, gdot:
  3.104475E-05  1.483421E-01 -1.393246E-05 -7.370965E-02  8.285294E-02 -1.020838E-02
# Covariance matrix:
  1.3887E-02 -1.6067E-01 -2.2624E-02  7.1331E-02  3.8049E-07  3.7109E-01
 -1.6067E-01  7.0692E+00  2.6175E-01 -3.0475E+00 -4.4021E-06 -1.6498E+01
 -2.2624E-02  2.6175E-01  3.6858E-02 -1.1621E-01 -6.1987E-07 -6.0455E-01
  7.1331E-02 -3.0475E+00 -1.1621E-01  1.3166E+00  1.9543E-06  7.1133E+00
  3.8049E-07 -4.4021E-06 -6.1987E-07  1.9543E-06  1.0425E-11  1.0167E-05
  3.7109E-01 -1.6498E+01 -6.0455E-01  7.1133E+00  1.0167E-05  3.8515E+01
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.169370  -49.332778    0.655511   -0.029830   -0.783161  2452082.816613
# Heliocentric elements and errors
Epoch:              2452082.5000  =  2001/06/22
Mean Anomaly:          347.21138 +/-     0.000
Argument of Peri:      210.48266 +/-     0.002
Long of Asc Node:      123.72601 +/-     0.003
Inclination:            26.72602 +/-     0.002
Eccentricity:         0.32289125 +/-    0.0016
Semi-Major Axis:     18.53530207 +/-    0.0000
Time of Perihelion: 2453117.9258 +/-       0.0
Perihelion:          12.55041521 +/-    0.0289
Aphelion:            24.52018893 +/-    0.0289
Period (y)               79.8009 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            7.87667569 +/-    0.0000
Ecliptic Y          -10.16426542 +/-    0.0000
Ecliptic Z           -0.45700425 +/-    0.0000
Ecliptic XDOT         0.00342992 +/-    0.0000
Ecliptic YDOT         0.00352203 +/-    0.0000
Ecliptic ZDOT        -0.00242100 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   12.86717619 +/-    0.0000
Geocenter to KBO     12.06960871 +/-    0.0000
# Hcoef:  9.17

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

2001 06  22.31587  20 54 58.88   -19 38 50.6   19.9R 10TH      644  C~0dRY      
2002 07  15.44657  21 32 10.07   -21 45 48.5   19.4R 10TH      644  C~0dRY      
2002 08  15.30181  21 25 35.77   -22 42 37.2   19.8R 10TH      644  C~0dRY      
2002 08  15.37399  21 25 34.76   -22 42 44.9   19.7R 10TH      644  C~0dRY      
2002 08  30.31302  21 22 17.90   -23 06 27.3   19.7R 10TH      644  C~0dRY      
2002 08  30.33385  21 22 17.58   -23 06 28.6   20.0R 10TH      644  C~0dRY      
2002 08  30.36163  21 22 17.29   -23 06 31.1   19.4R 10TH      644  C~0dRY      
2002 09  15.15446  21 19 18.54   -23 26 22.8   19.9R 10TH      644  C~0dRY      
2005 07  28.37683  23 38 57.76   -22 44 48.3   19.7  10TH      644  C~0dRY      
2005 07  28.39794  23 38 57.60   -22 44 50.7   20.4  10TH      644  C~0dRY      
2005 07  28.42032  23 38 57.50   -22 44 54.1   19.7  10TH      644  C~0dRY      
2010 10  02.18844  02 34 33.261  -14 54 48.49  20.1R 10TH      809  C~0NKV      
2010 10  02.27138  02 34 32.420  -14 54 57.13  20.2R 10TH      809  C~0NKV      
2010 10  03.10048  02 34 24.06   -14 56 23.8         10TH      809  C~0NKV      
2010 10  03.18466  02 34 23.24   -14 56 32.6         10TH      809  C~0NKV      
2010 10  13.18324  02 32 34.20   -15 12 37.8         10TH      807  C~0Nov      
2010 10  13.21019  02 32 33.86   -15 12 41.4         10TH      807  C~0Nov      
2011 01  02.17042  02 19 20.37   -15 02 41.4   20.5R 10TH      688  C~0RWF      
2011 01  02.21918  02 19 20.21   -15 02 36.4         10TH      688  C~0RWF      
2011 11  24.35334  02 53 37.887  -13 05 37.15  21.2g 10TH      F51  C~1vWH      
2011 11  24.36645  02 53 37.720  -13 05 37.11  21.1g 10TH      F51  C~1vWH      
2011 11  24.38006  02 53 37.563  -13 05 37.17  20.8r 10TH      F51  C~1vWH      
2011 11  24.39231  02 53 37.418  -13 05 37.18  20.9r 10TH      F51  C~1vWH      
2011 12  24.12841  02 48 51.79   -12 47 41.1   21.0R 10TH      688  C~0dRY      
2011 12  24.15293  02 48 51.63   -12 47 39.7         10TH      688  C~0dRY      
2014 09  11.54980  04 18 33.743  -04 07 05.69  21.0i 10TH      F51  C~1vWH      
2014 09  11.56346  04 18 33.738  -04 07 07.02  21.3i 10TH      F51  C~1vWH      
2014 09  11.57553  04 18 33.735  -04 07 07.93  21.1i 10TH      F51  C~1vWH      
2014 09  11.58762  04 18 33.738  -04 07 08.91  21.6i 10TH      F51  C~1vWH      
2014 09  20.57912  04 18 25.399  -04 19 17.86  21.3w 10TH      F51  C~1vWH      
2014 09  20.59113  04 18 25.373  -04 19 18.86  21.4w 10TH      F51  C~1vWH      
2014 09  20.60315  04 18 25.349  -04 19 19.86  21.3w 10TH      F51  C~1vWH      
2014 09  20.61513  04 18 25.323  -04 19 20.85  21.4w 10TH      F51  C~1vWH      
2014 09  22.58699  04 18 20.813  -04 22 02.50  21.4w 10TH      F51  C~1vWH      
2014 09  22.59927  04 18 20.782  -04 22 03.50  21.4w 10TH      F51  C~1vWH      
2014 09  22.61154  04 18 20.752  -04 22 04.54  21.4w 10TH      F51  C~1vWH      
2014 09  22.62379  04 18 20.715  -04 22 05.54  21.5w 10TH      F51  C~1vWH      
2014 10  04.52901  04 17 33.691  -04 38 13.87  21.3w 10TH      F51  C~1vWH      
2014 10  04.55416  04 17 33.552  -04 38 15.86  21.2w 10TH      F51  C~1vWH      
2014 10  04.56675  04 17 33.482  -04 38 16.95  21.3w 10TH      F51  C~1vWH      
2014 10  30.57608  04 14 07.679  -05 09 01.54  21.7w 10TH      F51  C~1vWH      
2014 10  30.58905  04 14 07.538  -05 09 02.66  21.7w 10TH      F51  C~1vWH      
2014 10  30.60206  04 14 07.389  -05 09 03.29  21.6w 10TH      F51  C~1vWH      
2014 10  30.61508  04 14 07.255  -05 09 04.12  21.5w 10TH      F51  C~1vWH      
2014 11  27.45208  04 08 50.389  -05 26 18.89  21.3w 10TH      F51  C~1vWH      
2014 11  27.46457  04 08 50.241  -05 26 18.87  21.3w 10TH      F51  C~1vWH      
2014 11  27.47703  04 08 50.084  -05 26 19.05  21.2w 10TH      F51  C~1vWH      
2014 11  27.48955  04 08 49.929  -05 26 19.19  21.2w 10TH      F51  C~1vWH      
2014 12  12.30591  04 05 56.572  -05 26 04.24  21.3w 10TH      F51  C~1vWH      
2014 12  12.31874  04 05 56.419  -05 26 04.06  21.3w 10TH      F51  C~1vWH      
2014 12  12.33159  04 05 56.270  -05 26 03.88  21.3w 10TH      F51  C~1vWH      
2014 12  12.34443  04 05 56.132  -05 26 03.62  21.3w 10TH      F51  C~1vWH      
2014 12  15.36966  04 05 22.509  -05 25 08.04  21.4w 10TH      F51  C~1vWH      
2014 12  15.39420  04 05 22.251  -05 25 07.24  21.2w 10TH      F51  C~1vWH      
2014 12  15.40647  04 05 22.119  -05 25 07.04  21.3w 10TH      F51  C~1vWH      
2015 01  12.33348  04 01 13.169  -05 02 56.68  21.4w 10TH      F51  C~1vWH      
2015 01  12.34762  04 01 13.076  -05 02 55.61  21.5w 10TH      F51  C~1vWH      
2015 01  12.36190  04 01 12.983  -05 02 54.55  21.3w 10TH      F51  C~1vWH      
2015 01  12.37601  04 01 12.888  -05 02 53.60  21.3w 10TH      F51  C~1vWH      
2015 01  19.28195  04 00 34.230  -04 53 59.60  21.5w 10TH      F51  C~1vWH      
2015 01  19.29463  04 00 34.165  -04 53 58.55  21.5w 10TH      F51  C~1vWH      
2015 01  19.30714  04 00 34.103  -04 53 57.57  21.5w 10TH      F51  C~1vWH      
2015 01  19.31966  04 00 34.037  -04 53 56.49  21.6w 10TH      F51  C~1vWH      
2015 10  10.54407  04 38 09.470  -02 26 34.98  21.5w 10TH      F51  C~1Yd6      
2015 10  10.55515  04 38 09.425  -02 26 35.58  21.7w 10TH      F51  C~1Yd6      
2015 10  10.56625  04 38 09.339  -02 26 36.61  21.5w 10TH      F51  C~1Yd6      
2016 10  13.59744  04 57 34.980  -00 19 57.96  21.6w 10TH      F51  C~1zOu      
2016 10  13.60955  04 57 34.928  -00 19 58.44  21.9w 10TH      F51  C~1zOu      
2016 10  13.62166  04 57 34.841  -00 19 59.35  21.8w 10TH      F51  C~1zOu      

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 (  -0.23)      0.00 (  -2.53)
  2   1.0626      0.00    -0.12       0.00     0.01
  3   1.1471      0.00     0.68       0.00     0.10
  4   1.1473      0.00     0.53       0.00    -0.19
  5   1.1882      0.00     0.44       0.00     0.11
  6   1.1883      0.00    -0.36       0.00     0.60
  7   1.1884      0.00     0.62       0.00     0.49
  8   1.2316      0.00     0.11       0.00    -0.02
  9   4.0987      0.00     0.04       0.00    -0.02
 10   4.0988      0.00    -0.38       0.00     0.56
 11   4.0988      0.00     0.23       0.00     0.32
 12   9.2782      0.00     0.83       0.00    -0.11
 13   9.2785      0.00     0.93       0.00    -0.02
 14   9.2807      0.00     0.13       0.00    -0.16
 15   9.2810      0.00     0.85       0.00    -0.15
 16   9.3083      0.00    -0.33       0.00     0.03
 17   9.3084      0.00    -0.66       0.00    -1.18
 18   9.5301      0.00     0.19       0.00     0.16
 19   9.5302      0.00    -0.22       0.00     0.04
 20  10.4231      0.00     0.14       0.00    -0.22
 21  10.4231      0.00    -0.00       0.00    -0.16
 22  10.4232      0.00     0.10       0.00    -0.21
 23  10.4232      0.00     0.14       0.00    -0.22
 24  10.5046      0.00    -0.07       0.00     0.38
 25  10.5047      0.00     0.10       0.00     0.03
 26  13.2217      0.00    -0.01       0.00     0.33
 27  13.2218      0.00    -0.09       0.00     0.09
 28  13.2218      0.00    -0.13       0.00     0.15
 29  13.2218      0.00    -0.08       0.00     0.13
 30  13.2464      0.00     0.01       0.00     0.14
 31  13.2465      0.00     0.03       0.00     0.12
 32  13.2465      0.00     0.08       0.00     0.11
 33  13.2465      0.00     0.10       0.00     0.10
 34  13.2519      0.00     0.03       0.00     0.13
 35  13.2520      0.00     0.07       0.00     0.13
 36  13.2520      0.00     0.12       0.00     0.10
 37  13.2520      0.00     0.08       0.00     0.11
 38  13.2846      0.00     0.01       0.00     0.16
 39  13.2847      0.00     0.02       0.00     0.18
 40  13.2847      0.00     0.01       0.00     0.10
 41  13.3559      0.00     0.48       0.00     0.26
 42  13.3560      0.00     0.38       0.00    -0.11
 43  13.3560      0.00     0.16       0.00     0.02
 44  13.3561      0.00     0.16       0.00    -0.06
 45  13.4323      0.00     0.04       0.00    -0.24
 46  13.4323      0.00     0.10       0.00    -0.05
 47  13.4323      0.00     0.02       0.00    -0.07
 48  13.4324      0.00    -0.01       0.00    -0.04
 49  13.4729      0.00     0.16       0.00     0.06
 50  13.4730      0.00     0.07       0.00     0.04
 51  13.4730      0.00     0.05       0.00     0.02
 52  13.4730      0.00     0.18       0.00     0.09
 53  13.4813      0.00    -0.16       0.00    -0.07
 54  13.4814      0.00     0.09       0.00     0.20
 55  13.4814      0.00     0.17       0.00     0.14
 56  13.5579      0.00     0.08       0.00    -0.15
 57  13.5579      0.00     0.08       0.00    -0.10
 58  13.5580      0.00     0.09       0.00    -0.07
 59  13.5580      0.00     0.06       0.00    -0.14
 60  13.5769      0.00     0.08       0.00     0.04
 61  13.5769      0.00     0.06       0.00     0.05
 62  13.5770      0.00     0.08       0.00    -0.00
 63  13.5770      0.00     0.03       0.00     0.04
 64  14.3004      0.00    -0.09       0.00     0.15
 65  14.3004      0.00     0.19       0.00     0.32
 66  14.3005      0.00    -0.15       0.00     0.07
 67  15.3108      0.00    -0.03       0.00    -0.06
 68  15.3109      0.00     0.19       0.00     0.20
 69  15.3109      0.00    -0.12       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.

10TH    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        18.598    18.598    18.598
ecceobj         0.325     0.325     0.325
incobj         26.702    26.702    26.702
qmin           12.174    12.212    12.222
qmax           26.311    25.043    24.909
amean          19.006    18.631    18.582
amin           18.488    18.493    18.426
amax           19.579    18.750    18.736
emean           0.332     0.333     0.330
emin            0.313     0.322     0.323
emax            0.347     0.340     0.338
imean          24.826    24.975    25.011
imin           23.954    24.784    24.883
imax           25.622    25.188    25.188
excite_mean     0.535     0.537     0.537
fracstop        0.015     0.002     0.002
cjmean          2.942     2.962     2.966

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       226.1     228.8     226.8
kozaiamp        179.6      17.1      15.0