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 Wed Dec 13 02:37:39 2017
# Orbit generated from Bernstein formalism
# Fitting   15 observations of   15
# Arc:   2.28y
# First observation: 2010/10/02
#  Last observation: 2013/01/10
Preliminary a, adot, b, bdot, g, gdot:
   0.000050   0.027579   0.000027   0.007770   0.025061   0.000000
# Chi-squared of fit:    70.01 DOF:   24 RMS:  0.38
# Min/Max residuals:    -0.86    0.63
# Exact a, adot, b, bdot, g, gdot:
  1.622240E-05  2.792987E-02  4.982309E-06  7.980944E-03  2.526376E-02  2.334625E-03
# Covariance matrix:
  2.0592E-13 -7.0663E-14 -1.4993E-15 -4.1770E-14  1.2227E-13 -7.4439E-13
 -7.0663E-14  1.1313E-12 -1.2728E-13  6.1033E-13  5.6539E-13  2.6236E-11
 -1.4993E-15 -1.2728E-13  1.8205E-13 -1.8818E-13 -6.6960E-14 -3.5635E-12
 -4.1770E-14  6.1033E-13 -1.8818E-13  6.4553E-13  1.9387E-13  1.9105E-11
  1.2227E-13  5.6539E-13 -6.6960E-14  1.9387E-13  5.9783E-13  1.1065E-11
 -7.4439E-13  2.6236E-11 -3.5635E-12  1.9105E-11  1.1065E-11  7.7794E-10
#      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:            7.01155 +/-     0.079
Argument of Peri:      273.78659 +/-     0.190
Long of Asc Node:       91.29079 +/-     0.001
Inclination:            38.89875 +/-     0.000
Eccentricity:         0.37205886 +/-    0.0004
Semi-Major Axis:     63.54505455 +/-    0.0262
Time of Perihelion: 2451866.9311 +/-      40.4
Perihelion:          39.90255374 +/-    0.0315
Aphelion:            87.18755536 +/-    0.0448
Period (y)              506.5599 +/-      0.31
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.15275698 +/-    0.0009
Ecliptic Y           14.57594856 +/-    0.0004
Ecliptic Z          -23.78121788 +/-    0.0007
Ecliptic XDOT        -0.00073692 +/-    0.0000
Ecliptic YDOT         0.00302946 +/-    0.0000
Ecliptic ZDOT         0.00053938 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.34709208 +/-    0.0008
Geocenter to KBO     39.58238747 +/-    0.0012
# Hcoef:  4.91

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      

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     0.26       0.00     0.00
  2   0.0002     -5.86     0.28      -1.41    -0.48
  3   0.0025    -62.28     0.46     -10.73    -0.68
  4   0.0027    -68.57     0.17     -11.06    -0.09
  5   0.0029    -74.50     0.17     -11.72     0.11
  6   0.0929  -2472.83    -0.28     133.37     0.44
  7   0.0930  -2475.86    -0.19     134.30     0.50
  8   0.2406  -5005.52    -0.33    2286.85     0.08
  9   0.2407  -5005.97    -0.16    2289.40     0.29
 10   1.0101   5501.72    -0.81    1607.13     0.05
 11   1.0105   5493.25    -0.22    1606.67     0.57
 12   1.2291    770.09     0.63    3679.22    -0.10
 13   1.2293    767.70    -0.38    3681.74    -0.86
 14   2.2758   6271.31     0.37    6212.03     0.04
 15   2.2759   6271.00     0.02    6213.80     0.12

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        63.717    63.801    63.635
ecceobj         0.374     0.375     0.372
incobj         38.892    38.892    38.892
qmin           39.206    39.286    39.415
qmax           87.654    87.753    87.335
amean          62.866    62.972    62.655
amin           62.102    62.249    61.814
amax           63.835    63.893    63.644
emean           0.349     0.355     0.347
emin            0.323     0.334     0.332
emax            0.375     0.375     0.372
imean          37.828    37.704    37.827
imin           37.165    37.232    37.255
imax           38.556    38.341    38.215
excite_mean     0.706     0.707     0.705
fracstop        1.000     1.000     1.000
cjmean          2.618     2.617     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       164.3     164.7     166.9
kozaiamp        180.0     180.0     180.0