Orbit Fit and Astrometric record for 13GH137

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: 13GH137   
# Created Mon Jul  7 01:09:28 2025
# Orbit generated from Bernstein formalism
# Fitting     42 observations of     42
# Arc:   3.25y
# First observation: 2013/02/08
#  Last observation: 2016/05/11
Preliminary a, adot, b, bdot, g, gdot:
  -0.000245   0.039516   0.000018  -0.009499   0.032653   0.000000
# Chi-squared of fit:    14.81 DOF:     78 RMS:  0.10
# Min/Max residuals:    -0.23    0.31
# Exact a, adot, b, bdot, g, gdot:
  1.876562E-05  3.891785E-02 -4.383320E-06 -9.352878E-03  3.244007E-02  4.636848E-03
# Covariance matrix:
  1.2597E-13 -8.7793E-14 -6.5671E-15  1.7391E-14  3.7520E-14 -6.6739E-13
 -8.7793E-14  2.7813E-13  2.6865E-14 -7.0896E-14  1.2971E-13  2.7947E-12
 -6.5671E-15  2.6865E-14  9.0504E-14 -5.8399E-14  1.1149E-14  3.3819E-13
  1.7391E-14 -7.0896E-14 -5.8399E-14  6.9375E-14 -2.9311E-14 -8.9286E-13
  3.7520E-14  1.2971E-13  1.1149E-14 -2.9311E-14  1.7917E-13  1.1884E-12
 -6.6739E-13  2.7947E-12  3.3819E-13 -8.9286E-13  1.1884E-12  3.5080E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.148320 -143.102045    0.960357    0.000627   -0.222539  2456332.084338
# Heliocentric elements and errors
Epoch:              2456330.5000  =  2013/02/07
Mean Anomaly:           16.98391 +/-     0.022
Argument of Peri:      152.03434 +/-     0.038
Long of Asc Node:       35.73759 +/-     0.000
Inclination:            13.48286 +/-     0.000
Eccentricity:         0.22747315 +/-    0.0001
Semi-Major Axis:     39.37517233 +/-    0.0032
Time of Perihelion: 2452072.8758 +/-       5.4
Perihelion:          30.41837792 +/-    0.0048
Aphelion:            48.33196673 +/-    0.0057
Period (y)              247.0825 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X          -25.40488148 +/-    0.0003
Ecliptic Y          -17.87122867 +/-    0.0002
Ecliptic Z            0.07965927 +/-    0.0000
Ecliptic XDOT         0.00165122 +/-    0.0000
Ecliptic YDOT        -0.00286191 +/-    0.0000
Ecliptic ZDOT        -0.00078821 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.06115199 +/-    0.0003
Geocenter to KBO     30.82607596 +/-    0.0004
# Hcoef:  8.49

The following table shows the complete astrometric record for 13GH137. 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 (13GH137) followed by the observatory code and reference code for the source of the astrometry.

2013 02  08.58356  14 18 26.307  -13 40 36.80  23.7r 13GH137   568  C~1XRX      
2013 02  08.64781  14 18 26.291  -13 40 37.01  23.8r 13GH137   568  C~1XRX      
2013 02  08.65196  14 18 26.270  -13 40 37.10  23.8r 13GH137   568  C~2KOF      
2013 02  08.65608  14 18 26.276  -13 40 37.14  23.4r 13GH137   568  C~1XRX      
2013 02  08.65996  14 18 26.266  -13 40 37.10  23.6r 13GH137   568  C~1XRX      
2013 02  08.66384  14 18 26.273  -13 40 37.15  23.3r 13GH137   568  C~1XRX      
2013 04  04.44170  14 15 21.385  -13 29 58.45  23.3r 13GH137   568  C~1XRX      
2013 04  04.48219  14 15 21.149  -13 29 57.58  23.6r 13GH137   568  C~1XRX      
2013 04  04.52263  14 15 20.908  -13 29 56.46  23.1r 13GH137   568  C~1XRX      
2013 04  06.61498  14 15 08.858  -13 29 06.90  22.8r 13GH137   568  C~1XRX      
2013 04  08.41579  14 14 58.333  -13 28 23.28  23.0r 13GH137   568  C~1XRX      
2013 05  11.45033  14 11 35.737  -13 14 10.31  23.1r 13GH137   568  C~1XRX      
2013 05  12.44830  14 11 29.814  -13 13 45.46  23.4r 13GH137   568  C~1XRX      
2013 07  04.29497  14 07 57.468  -13 00 17.77  23.3r 13GH137   568  C~1XRX      
2014 02  01.64786  14 26 20.399  -14 52 55.34  23.4r 13GH137   568  C~1XRX      
2014 02  02.64572  14 26 21.208  -14 53 05.79  23.6r 13GH137   568  C~1XRX      
2014 02  03.59026  14 26 21.886  -14 53 14.96  23.5r 13GH137   568  C~1XRX      
2014 02  24.60898  14 26 06.955  -14 54 15.45  23.6r 13GH137   568  C~1XRX      
2014 02  25.59204  14 26 04.909  -14 54 11.69  23.5r 13GH137   568  C~1XRX      
2014 02  28.54001  14 25 58.070  -14 53 56.94  23.3r 13GH137   568  C~1XRX      
2014 04  04.43905  14 23 30.532  -14 45 30.14  23.3r 13GH137   568  C~1XRX      
2014 04  04.44293  14 23 30.511  -14 45 30.00  23.5r 13GH137   568  C~1XRX      
2014 04  04.47867  14 23 30.311  -14 45 29.22  23.2r 13GH137   568  C~1XRX      
2014 04  04.48274  14 23 30.283  -14 45 29.10  23.3r 13GH137   568  C~1XRX      
2014 04  05.56427  14 23 24.181  -14 45 05.81  23.3r 13GH137   568  C~1XRX      
2014 04  05.56944  14 23 24.141  -14 45 05.56  23.4r 13GH137   568  C~1XRX      
2014 04  30.11337  14 20 54.92   -14 35 08.6         13GH137   W84  C~2fc7      
2014 04  30.18231  14 20 54.48   -14 35 06.8   23.6V 13GH137   W84  C~2fc7      
2014 05  01.10004  14 20 48.74   -14 34 43.4         13GH137   W84  C~2fc7      
2014 05  01.16983  14 20 48.30   -14 34 41.5         13GH137   W84  C~2fc7      
2014 05  22.44989  14 18 40.660  -14 25 57.68  23.6r 13GH137   568  C~1XRX      
2014 05  25.44210  14 18 24.212  -14 24 50.45  23.4r 13GH137   568  C~1XRX      
2014 06  26.33430  14 16 12.441  -14 16 18.29  23.4r 13GH137   568  C~1XRX      
2014 07  18.30122  14 15 42.782  -14 15 24.00  23.5r 13GH137   568  C~1XRX      
2015 04  25.288927 14 29 37.46   -15 51 36.1         13GH137   W84  C~8vD7      
2015 04  25.323420 14 29 37.26   -15 51 35.1         13GH137   W84  C~8vD7      
2015 04  25.357895 14 29 37.04   -15 51 34.2         13GH137   W84  C~8vD7      
2015 04  26.284734 14 29 31.23   -15 51 11.9         13GH137   W84  C~8vD7      
2015 04  26.320057 14 29 31.02   -15 51 11.0         13GH137   W84  C~8vD7      
2015 04  26.354547 14 29 30.80   -15 51 10.3         13GH137   W84  C~8vD7      
2016 05  11.35741  14 36 04.878  -16 57 32.76  23.4r 13GH137   568  C~2KOF      
2016 05  11.43171  14 36 04.412  -16 57 31.02  23.2r 13GH137   568  C~2KOF      

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     0.04       0.00    -0.04
     2   0.0002     -0.15     0.18      -0.27     0.05
     3   0.0002     -0.41    -0.06      -0.46    -0.11
     4   0.0002     -0.32     0.06      -0.47    -0.10
     5   0.0002     -0.47    -0.07      -0.48    -0.09
     6   0.0002     -0.35     0.06      -0.49    -0.08
     7   0.1502  -2756.31     0.01    -283.91     0.05
     8   0.1503  -2759.84     0.03    -284.23    -0.03
     9   0.1504  -2763.53    -0.10    -284.33     0.10
    10   0.1561  -2945.83     0.09    -295.64     0.01
    11   0.1611  -3105.18    -0.11    -305.24    -0.02
    12   0.2515  -6178.97    -0.06    -483.55     0.16
    13   0.2542  -6268.88    -0.06    -489.02     0.09
    14   0.3989  -9466.82     0.10    -769.95     0.09
    15   0.9803   7928.42     0.08   -1877.43     0.19
    16   0.9831   7942.90    -0.18   -1883.60    -0.01
    17   0.9856   7955.16    -0.10   -1889.15     0.05
    18   1.0432   7769.13     0.02   -2015.68    -0.02
    19   1.0459   7739.78     0.07   -2021.60    -0.02
    20   1.0540   7640.99     0.04   -2039.31    -0.00
    21   1.1495   5449.85    -0.07   -2245.79    -0.09
    22   1.1495   5449.52    -0.07   -2245.76    -0.03
    23   1.1496   5446.52    -0.01   -2245.96     0.00
    24   1.1496   5446.10    -0.08   -2245.97     0.01
    25   1.1526   5354.73     0.07   -2252.44    -0.21
    26   1.1526   5354.10    -0.12   -2252.39    -0.13
    27   1.2198   3110.99    -0.00   -2388.12    -0.08
    28   1.2200   3104.36    -0.03   -2388.49    -0.04
    29   1.2225   3017.93    -0.05   -2393.43    -0.14
    30   1.2227   3011.27    -0.03   -2393.71    -0.00
    31   1.2809   1087.87     0.10   -2502.84    -0.01
    32   1.2891    840.06    -0.10   -2517.51    -0.06
    33   1.3765  -1137.04    -0.04   -2662.91    -0.04
    34   1.4366  -1562.04     0.06   -2753.91     0.09
    35   2.2059  11759.07    -0.10   -4315.92     0.03
    36   2.2060  11756.00     0.11   -4315.88     0.26
    37   2.2061  11752.69     0.07   -4316.02     0.31
    38   2.2086  11665.81     0.02   -4321.29     0.08
    39   2.2087  11662.64     0.21   -4321.39     0.18
    40   2.2088  11659.40     0.24   -4321.72     0.03
    41   3.2519  18328.91    -0.15   -6349.64    -0.21
    42   3.2522  18321.95    -0.08   -6350.03    -0.23

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.

13GH137    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.225    39.237    39.214
ecceobj         0.224     0.224     0.224
incobj         13.497    13.497    13.496
qmin           27.747    27.837    27.742
qmax           51.635    51.684    51.788
amean          39.455    39.455    39.455
amin           39.045    39.035    39.056
amax           39.956    39.991    39.993
emean           0.232     0.230     0.232
emin            0.173     0.174     0.172
emax            0.295     0.293     0.295
imean          12.611    12.710    12.621
imin            8.733     9.023     8.789
imax           15.047    15.030    15.033
excite_mean     0.321     0.321     0.321
fracstop        1.000     1.000     1.000
cjmean          2.934     2.934     2.934

libcent 0       179.6     180.5     180.8
libamp  0        68.2      72.9      68.1
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       121.8     123.8     122.5
kozaiamp        180.0     179.9     180.0