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 Thu Feb 22 02:37:48 2018
# Orbit generated from Bernstein formalism
# Fitting   17 observations of   17
# Arc:   7.22y
# First observation: 2010/10/02
#  Last observation: 2017/12/20
Preliminary a, adot, b, bdot, g, gdot:
   0.000054   0.027518   0.000005   0.007823   0.025007   0.000000
# Chi-squared of fit:    73.70 DOF:   28 RMS:  0.37
# Min/Max residuals:    -0.81    0.80
# Exact a, adot, b, bdot, g, gdot:
  1.626666E-05  2.792862E-02  5.355306E-06  7.979462E-03  2.526340E-02  2.289537E-03
# Covariance matrix:
  2.0533E-13 -6.0704E-14 -6.6278E-15 -2.4284E-14  1.2354E-13 -3.1778E-13
 -6.0704E-14  2.9742E-13 -5.7817E-14  9.0118E-14  1.8807E-13  1.5235E-12
 -6.6278E-15 -5.7817E-14  1.3664E-13 -4.0938E-14 -6.5365E-14 -2.9291E-13
 -2.4284E-14  9.0118E-14 -4.0938E-14  4.8551E-14  3.6716E-14  5.1002E-13
  1.2354E-13  1.8807E-13 -6.5365E-14  3.6716E-14  4.0461E-13  7.9530E-13
 -3.1778E-13  1.5235E-12 -2.9291E-13  5.1002E-13  7.9530E-13  8.4788E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
  -36.927664   27.117829    0.312421   -0.568854   -0.756903  2455471.702106
# Heliocentric elements and errors
Epoch:              2455470.5000  =  2010/10/01
Mean Anomaly:            6.89143 +/-     0.008
Argument of Peri:      274.09244 +/-     0.020
Long of Asc Node:       91.29189 +/-     0.000
Inclination:            38.89849 +/-     0.000
Eccentricity:         0.37136787 +/-    0.0001
Semi-Major Axis:     63.50306328 +/-    0.0103
Time of Perihelion: 2451932.1803 +/-       4.1
Perihelion:          39.92006599 +/-    0.0089
Aphelion:            87.08606057 +/-    0.0154
Period (y)              506.0579 +/-      0.12
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.15316533 +/-    0.0007
Ecliptic Y           14.57615966 +/-    0.0004
Ecliptic Z          -23.78154490 +/-    0.0006
Ecliptic XDOT        -0.00074043 +/-    0.0000
Ecliptic YDOT         0.00302756 +/-    0.0000
Ecliptic ZDOT         0.00054219 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.34765615 +/-    0.0006
Geocenter to KBO     39.58295142 +/-    0.0010
# Hcoef:  4.96

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 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 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 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      
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      
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     0.25       0.00    -0.07
  2   0.0002     -5.86     0.27      -1.41    -0.56
  3   0.0025    -62.28     0.45     -10.73    -0.76
  4   0.0027    -68.57     0.16     -11.06    -0.17
  5   0.0029    -74.50     0.16     -11.72     0.03
  6   0.0929  -2472.83    -0.29     133.37     0.39
  7   0.0930  -2475.86    -0.21     134.30     0.46
  8   0.2406  -5005.52    -0.31    2286.85     0.08
  9   0.2407  -5005.97    -0.14    2289.40     0.29
 10   1.0101   5501.72    -0.81    1607.13     0.21
 11   1.0105   5493.25    -0.22    1606.67     0.73
 12   1.2291    770.09     0.80    3679.22     0.02
 13   1.2293    767.70    -0.21    3681.74    -0.75
 14   2.2758   6271.31     0.21    6212.03     0.06
 15   2.2759   6271.00    -0.14    6213.80     0.14
 16   7.2171  34888.12     0.01   13104.88    -0.05
 17   7.2172  34886.61     0.04   13106.81    -0.04

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        63.675    63.706    63.643
ecceobj         0.373     0.373     0.373
incobj         38.892    38.892    38.892
qmin           39.009    39.387    39.186
qmax           87.788    87.488    87.366
amean          62.769    62.868    62.609
amin           61.816    62.122    61.773
amax           63.727    63.771    63.676
emean           0.343     0.347     0.344
emin            0.311     0.321     0.326
emax            0.378     0.373     0.373
imean          37.965    37.892    37.900
imin           37.112    37.245    37.130
imax           38.757    38.622    38.368
excite_mean     0.705     0.705     0.704
fracstop        1.000     1.000     1.000
cjmean          2.618     2.618     2.617

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       174.2     158.7     168.7
kozaiamp        180.0     180.0     180.0