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 Sat Oct 21 01:38:14 2017
# Orbit generated from Bernstein formalism
# Fitting   23 observations of   24
# Arc:   4.14y
# First observation: 2013/04/05
#  Last observation: 2017/05/26
Preliminary a, adot, b, bdot, g, gdot:
   0.000434   0.054165  -0.000389  -0.028470   0.039339   0.000000
# Chi-squared of fit:    25.45 DOF:   40 RMS:  0.19
# Min/Max residuals:    -0.59    0.31
# Exact a, adot, b, bdot, g, gdot:
  2.186881E-05  5.579067E-02 -1.140820E-05 -2.946734E-02  3.904889E-02  7.634148E-03
# Covariance matrix:
  1.8531E-13 -2.1571E-13 -4.1626E-14  9.4326E-14 -4.2945E-14 -7.9683E-13
 -2.1571E-13  5.7124E-13  1.4479E-13 -3.2996E-13 -1.7437E-13  2.8061E-12
 -4.1626E-14  1.4479E-13  1.5608E-13 -1.4863E-13 -6.9834E-14  8.1051E-13
  9.4326E-14 -3.2996E-13 -1.4863E-13  2.7511E-13  1.6184E-13 -1.8496E-12
 -4.2945E-14 -1.7437E-13 -6.9834E-14  1.6184E-13  5.4855E-13 -1.4031E-12
 -7.9683E-13  2.8061E-12  8.1051E-13 -1.8496E-12 -1.4031E-12  1.5754E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    2.719949 -167.849346   -0.062445    0.047485   -0.998845  2456387.918138
# Heliocentric elements and errors
Epoch:              2456380.5000  =  2013/03/29
Mean Anomaly:            1.18735 +/-     0.001
Argument of Peri:      158.19872 +/-     0.006
Long of Asc Node:       17.21977 +/-     0.000
Inclination:            27.96932 +/-     0.000
Eccentricity:         0.78857086 +/-    0.0001
Semi-Major Axis:    123.63526997 +/-    0.0869
Time of Perihelion: 2454724.3930 +/-       0.6
Perihelion:          26.14009896 +/-    0.0259
Aphelion:           221.13044098 +/-    0.1565
Period (y)             1374.7438 +/-      1.45
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -25.97064279 +/-    0.0005
Ecliptic Y           -5.65370502 +/-    0.0001
Ecliptic Z            1.21498262 +/-    0.0000
Ecliptic XDOT         0.00019852 +/-    0.0000
Ecliptic YDOT        -0.00395682 +/-    0.0000
Ecliptic ZDOT        -0.00203819 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   26.60666928 +/-    0.0005
Geocenter to KBO     25.60892357 +/-    0.0005
# Hcoef:  7.94

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.

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     0.15       0.00    -0.11
  2   0.0136   -527.62    -0.04     -85.17     0.04
  3   0.0163   -632.44    -0.04    -102.80    -0.17
  4   0.0163   -633.76     0.10    -103.03    -0.14
  5   0.0164   -635.26     0.07    -103.06     0.08
  6   0.0164   -637.09    -0.29    -103.40    -0.01
  7   0.0326  -1248.73    -0.08    -208.99    -0.05
  8   0.0737  -2681.43 (   0.27)   -491.96 (   0.63)
  9   0.8956  15106.93    -0.15   -5439.82    -0.07
 10   0.8956  15106.21     0.09   -5439.84     0.10
 11   0.8956  15105.19     0.04   -5439.82     0.31
 12   0.8957  15104.36     0.17   -5440.09     0.23
 13   0.9010  14953.43     0.03   -5468.70     0.16
 14   0.9010  14952.51     0.03   -5468.84     0.19
 15   0.9010  14951.50    -0.08   -5469.07     0.14
 16   0.9011  14950.80     0.13   -5469.17     0.21
 17   0.9173  14456.19    -0.21   -5557.73     0.04
 18   0.9965  11562.41    -0.11   -6015.09    -0.03
 19   0.9966  11560.86    -0.43   -6015.85    -0.59
 20   0.9966  11559.13     0.30   -6016.06    -0.41
 21   1.0485   9584.14     0.29   -6334.22     0.18
 22   1.0485   9582.67     0.09   -6334.64    -0.02
 23   4.1390  40239.29    -0.12  -24455.34    -0.11
 24   4.1392  40234.71     0.07  -24455.78     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.

13GJ138    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj       121.964   122.259   121.671
ecceobj         0.785     0.786     0.785
incobj         27.989    27.989    27.989
qmin           24.959    25.028    24.940
qmax          240.517   247.304   255.340
amean         124.484   124.119   128.126
amin          116.425   102.826   120.123
amax          133.923   136.680   140.742
emean           0.789     0.787     0.796
emin            0.769     0.728     0.776
emax            0.805     0.810     0.814
imean          27.913    28.235    27.863
imin           26.644    26.849    26.716
imax           30.085    31.460    29.849
excite_mean     0.918     0.918     0.923
fracstop        0.729     0.760     0.745
cjmean          2.449     2.446     2.444

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       187.1     187.7     187.7
kozaiamp         28.0      28.4      29.5