Orbit Fit and Astrometric record for 13GJ138

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: 13GJ138   
# Created Wed Aug 15 01:38:00 2018
# Orbit generated from Bernstein formalism
# Fitting   26 observations of   27
# Arc:  12.15y
# First observation: 2005/04/02
#  Last observation: 2017/05/26
Preliminary a, adot, b, bdot, g, gdot:
  -0.011590   0.068157   0.005765  -0.029604   0.041144   0.000000
# Chi-squared of fit:    41.43 DOF:   46 RMS:  0.22
# Min/Max residuals:    -0.74    0.49
# Exact a, adot, b, bdot, g, gdot:
  2.399547E-05  5.823992E-02 -9.771124E-06 -2.523626E-02  3.910831E-02 -7.361869E-03
# Covariance matrix:
  4.7629E-13 -8.1620E-14 -2.5645E-14  1.5678E-14 -2.1287E-14 -4.7036E-14
 -8.1620E-14  3.5466E-14  2.1618E-14 -1.3622E-14 -2.2981E-14  4.1277E-14
 -2.5645E-14  2.1618E-14  4.3520E-13 -5.5687E-14 -1.7417E-14  2.9879E-14
  1.5678E-14 -1.3622E-14 -5.5687E-14  1.1795E-14  1.2668E-14 -1.8910E-14
 -2.1287E-14 -2.2981E-14 -1.7417E-14  1.2668E-14  1.8917E-13 -4.0038E-14
 -4.7036E-14  4.1277E-14  2.9879E-14 -1.8910E-14 -4.0038E-14  5.7379E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   15.783797  165.267803   -0.457322    0.240561   -0.850753  2453462.808154
# Heliocentric elements and errors
Epoch:              2453460.5000  =  2005/03/31
Mean Anomaly:          359.12545 +/-     0.000
Argument of Peri:      158.26145 +/-     0.001
Long of Asc Node:       17.27663 +/-     0.000
Inclination:            27.92193 +/-     0.000
Eccentricity:         0.79437070 +/-    0.0001
Semi-Major Axis:    127.19259286 +/-    0.0396
Time of Perihelion: 2454733.3429 +/-       0.1
Perihelion:          26.15452400 +/-    0.0113
Aphelion:           228.23066172 +/-    0.0716
Period (y)             1434.5013 +/-      0.67
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -24.77284859 +/-    0.0003
Ecliptic Y            6.03892473 +/-    0.0001
Ecliptic Z            6.95504128 +/-    0.0001
Ecliptic XDOT        -0.00102165 +/-    0.0000
Ecliptic YDOT        -0.00395419 +/-    0.0000
Ecliptic ZDOT        -0.00184023 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   26.42981722 +/-    0.0002
Geocenter to KBO     25.57001103 +/-    0.0003
# Hcoef:  8.00

The following table shows the complete astrometric record for 13GJ138. 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 (13GJ138) followed by the observatory code and reference code for the source of the astrometry.

2005 04  02.307411 11 31 30.16   +20 17 53.0   22.6V 13GJ138   645  C~2e9a      
2005 04  02.308240 11 31 30.17   +20 17 53.2   22.6V 13GJ138   645  C~2e9a      
2005 04  02.310728 11 31 30.15   +20 17 53.0   23.4V 13GJ138   645  C~2e9a      
2013 04  05.41736  12 48 56.703  -02 17 51.90  22.5g 13GJ138   F51  C~1w3t      
2013 04  10.37742  12 48 22.065  -02 15 44.99  22.4g 13GJ138   F51  C~1w3t      
2013 04  11.37185  12 48 15.165  -02 15 20.43  22.1w 13GJ138   F51  C~1w3u      
2013 04  11.38552  12 48 15.078  -02 15 20.12  22.5w 13GJ138   F51  C~1w3u      
2013 04  11.39922  12 48 14.985  -02 15 19.57  22.2w 13GJ138   F51  C~1w3u      
2013 04  11.41298  12 48 14.864  -02 15 19.17  22.2w 13GJ138   F51  C~1w3u      
2013 04  17.31494  12 47 34.535  -02 12 58.29  21.0i 13GJ138   F51  C~1w3u      
2013 05  02.33722  12 45 59.158  -02 08 00.88  21.1r 13GJ138   F51  C~1w3u      
2014 02  26.51804  13 02 04.735  -05 18 40.79  22.9w 13GJ138   F51  C~1w3u      
2014 02  26.53041  13 02 04.690  -05 18 40.53  22.3w 13GJ138   F51  C~1w3u      
2014 02  26.54278  13 02 04.628  -05 18 40.13  22.5w 13GJ138   F51  C~1w3u      
2014 02  26.55515  13 02 04.570  -05 18 40.06  22.4w 13GJ138   F51  C~1w3u      
2014 02  28.49924  13 01 54.557  -05 18 08.60  22.2w 13GJ138   F51  C~1w3u      
2014 02  28.51051  13 01 54.497  -05 18 08.38  22.1w 13GJ138   F51  C~1w3u      
2014 02  28.52174  13 01 54.429  -05 18 08.20  22.8w 13GJ138   F51  C~1w3u      
2014 02  28.53302  13 01 54.383  -05 18 08.03  22.5w 13GJ138   F51  C~1w3u      
2014 03  06.46259  13 01 21.700  -05 16 20.08  22.2w 13GJ138   F51  C~1w3u      
2014 04  04.40453  12 58 11.926  -05 04 49.86  21.9w 13GJ138   F51  C~1w3u      
2014 04  04.41588  12 58 11.811  -05 04 49.96  21.3w 13GJ138   F51  C~1w3u      
2014 04  04.43861  12 58 11.699  -05 04 49.49  21.8w 13GJ138   F51  C~1w3u      
2014 04  23.36701  12 56 01.927  -04 57 01.36  22.4w 13GJ138   F51  C~1w3u      
2014 04  23.37950  12 56 01.826  -04 57 01.18  22.3w 13GJ138   F51  C~1w3u      
2017 05  26.18805  13 19 37.49   -12 40 33.5   22.6R 13GJ138   G37  C~2Gia      
2017 05  26.25301  13 19 37.20   -12 40 32.3         13GJ138   G37  C~2Gia      

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    -0.09       0.00    -0.09
  2   0.0000      0.05     0.03       0.24     0.18
  3   0.0000     -0.13     0.09      -0.06    -0.04
  4   8.0085 107051.90     0.19  -46615.77    -0.14
  5   8.0221 106388.82    -0.08  -46730.89     0.03
  6   8.0248 106257.39    -0.05  -46754.57    -0.22
  7   8.0249 106255.73     0.12  -46754.87    -0.18
  8   8.0249 106253.82     0.05  -46754.95     0.07
  9   8.0249 106251.53    -0.39  -46755.40    -0.04
 10   8.0411 105486.26    -0.13  -46896.50    -0.08
 11   8.0822 103707.34 (   0.20) -47267.32 (   0.73)
 12   8.9041 128264.32    -0.17  -52867.13    -0.09
 13   8.9041 128263.31     0.13  -52867.16     0.13
 14   8.9041 128261.89     0.02  -52867.16     0.38
 15   8.9042 128260.79     0.22  -52867.51     0.28
 16   8.9095 128055.71     0.04  -52905.04     0.19
 17   8.9095 128054.46     0.02  -52905.23     0.23
 18   8.9096 128053.09    -0.11  -52905.52     0.17
 19   8.9096 128052.13     0.17  -52905.67     0.26
 20   8.9258 127380.09    -0.28  -53022.07     0.04
 21   9.0051 123466.94    -0.16  -53623.03    -0.04
 22   9.0051 123464.95    -0.49  -53623.98    -0.74
 23   9.0052 123462.61     0.49  -53624.27    -0.51
 24   9.0570 120822.87     0.33  -54037.21     0.22
 25   9.0570 120820.96     0.10  -54037.74    -0.02
 26  12.1475 170951.52    -0.15  -78375.04    -0.11
 27  12.1477 170944.07     0.12  -78375.39     0.10

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.

13GJ138    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj       121.949   122.055   121.844
ecceobj         0.785     0.786     0.785
incobj         27.989    27.989    27.989
qmin           25.143    24.906    24.885
qmax          284.862   252.156   272.787
amean         125.813   125.740   126.333
amin          118.379   119.501   117.475
amax          156.295   139.610   149.994
emean           0.790     0.792     0.792
emin            0.774     0.776     0.776
emax            0.823     0.806     0.819
imean          28.127    27.898    28.092
imin           26.974    26.518    26.816
imax           30.262    30.250    29.908
excite_mean     0.920     0.920     0.922
fracstop        0.768     0.800     0.817
cjmean          2.450     2.442     2.442

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       187.0     188.1     187.4
kozaiamp         26.1      30.5      28.6