Orbit Fit and Astrometric record for 13RG158

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: 13RG158   
# Created Fri Dec  3 02:11:56 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     18 observations of     18
# Arc:   5.01y
# First observation: 2013/09/13
#  Last observation: 2018/09/17
# Chi-squared of fit:     9.76 DOF:     30 RMS:  0.13
# Min/Max residuals:    -0.20    0.37
# Exact a, adot, b, bdot, g, gdot:
  1.699241E-05  2.816094E-02 -9.233247E-06 -1.477971E-02  2.685477E-02 -1.810577E-03
# Covariance matrix:
  4.9623E-13 -1.4563E-14  2.8468E-14 -3.3639E-14  3.9827E-13  4.4736E-13
 -1.4563E-14  3.3575E-13  9.3288E-14 -1.7497E-13  4.7107E-13  2.3885E-12
  2.8468E-14  9.3288E-14  3.5317E-13 -1.3166E-13  1.5910E-13  7.1704E-13
 -3.3639E-14 -1.7497E-13 -1.3166E-13  1.2521E-13 -2.6094E-13 -1.3512E-12
  3.9827E-13  4.7107E-13  1.5910E-13 -2.6094E-13  1.2860E-12  3.5395E-12
  4.4736E-13  2.3885E-12  7.1704E-13 -1.3512E-12  3.5395E-12  1.8448E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    7.245836  -12.064503   -0.040408    0.126989   -0.998067  2456548.689718
# Heliocentric elements and errors
Epoch:              2456548.5000  =  2013/09/13
Mean Anomaly:          354.74983 +/-     0.012
Argument of Peri:      177.16134 +/-     0.027
Long of Asc Node:      181.16079 +/-     0.000
Inclination:            28.52933 +/-     0.000
Eccentricity:         0.36470292 +/-    0.0002
Semi-Major Axis:     59.82898706 +/-    0.0163
Time of Perihelion: 2459013.6138 +/-      68.4
Perihelion:          38.00918092 +/-    0.0140
Aphelion:            81.64879320 +/-    0.0242
Period (y)              462.7812 +/-      0.19
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.11626230 +/-    0.0015
Ecliptic Y           -7.88862090 +/-    0.0003
Ecliptic Z            4.69627214 +/-    0.0002
Ecliptic XDOT         0.00060068 +/-    0.0000
Ecliptic YDOT         0.00280497 +/-    0.0000
Ecliptic ZDOT        -0.00151791 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.23486920 +/-    0.0015
Geocenter to KBO     37.23740856 +/-    0.0016
# Hcoef:  7.31

The following table shows the complete astrometric record for 13RG158. 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 (13RG158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  13.18894  23 04 19.618  +01 54 18.04  22.9i 13RG158   W84  C~52RQ      
2013 09  13.19032  23 04 19.623  +01 54 17.79  22.3z 13RG158   W84  C~52RQ      
2013 10  28.02082  23 01 29.186  +01 25 32.23  23.3r 13RG158   W84  C~52RQ      
2013 11  23.05802  23 00 54.504  +01 13 17.11  23.1r 13RG158   W84  C~52RQ      
2014 10  28.14493  23 08 41.707  +01 16 26.63  22.5z 13RG158   W84  C~52RQ      
2015 11  06.02823  23 15 34.083  +01 02 28.96  23.8r 13RG158   W84  C~52RQ      
2015 11  06.02962  23 15 34.071  +01 02 29.12  23.3i 13RG158   W84  C~52RQ      
2016 09  30.12844  23 24 53.237  +01 14 49.10  22.7z 13RG158   W84  C~52RQ      
2016 11  05.03680  23 22 48.041  +00 53 09.92  22.8z 13RG158   W84  C~52RQ      
2017 11  09.04198  23 29 54.115  +00 41 47.96  24.2g 13RG158   W84  C~52RQ      
2017 11  09.04336  23 29 54.100  +00 41 48.17  22.5r 13RG158   W84  C~52RQ      
2017 11  15.05477  23 29 42.882  +00 39 07.06  23.8g 13RG158   W84  C~52RQ      
2017 11  15.05615  23 29 42.889  +00 39 07.05  23.1r 13RG158   W84  C~52RQ      
2017 11  15.05752  23 29 42.877  +00 39 07.15  22.8i 13RG158   W84  C~52RQ      
2017 11  25.04265  23 29 31.536  +00 35 23.56  23.3z 13RG158   W84  C~52RQ      
2018 09  17.27023  23 40 32.668  +01 04 21.39  22.8i 13RG158   W84  C~52RQ      
2018 09  17.27161  23 40 32.661  +01 04 21.44  22.9r 13RG158   W84  C~52RQ      
2018 09  17.27297  23 40 32.636  +01 04 21.35  23.3g 13RG158   W84  C~52RQ      

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    -0.12       0.00     0.07
     2   0.0000      0.00     0.05       0.00    -0.13
     3   0.1227      0.00     0.00       0.00    -0.07
     4   0.1940      0.00    -0.08       0.00     0.05
     5   1.1224      0.00     0.37       0.00     0.28
     6   2.1460      0.00    -0.05       0.00    -0.17
     7   2.1460      0.00    -0.19       0.00     0.03
     8   3.0471      0.00    -0.03       0.00    -0.12
     9   3.1454      0.00     0.12       0.00     0.03
    10   4.1557      0.00     0.09       0.00    -0.20
    11   4.1557      0.00    -0.09       0.00     0.05
    12   4.1721      0.00    -0.03       0.00    -0.13
    13   4.1721      0.00     0.11       0.00    -0.10
    14   4.1721      0.00    -0.04       0.00     0.03
    15   4.1995      0.00    -0.07       0.00     0.23
    16   5.0105      0.00     0.11       0.00    -0.00
    17   5.0105      0.00     0.10       0.00     0.10
    18   5.0105      0.00    -0.18       0.00     0.07

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.

13RG158    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        60.267    60.266    60.267
ecceobj         0.370     0.370     0.370
incobj         28.467    28.467    28.467
qmin           36.079    35.731    36.491
qmax           84.720    85.102    84.315
amean          59.833    59.831    59.828
amin           59.097    59.151    59.115
amax           60.728    60.791    60.750
emean           0.374     0.382     0.373
emin            0.355     0.355     0.355
emax            0.395     0.402     0.389
imean          27.647    27.294    27.726
imin           26.871    26.590    27.309
imax           28.289    28.267    28.300
excite_mean     0.596     0.597     0.596
fracstop        1.000     1.000     1.000
cjmean          2.819     2.819     2.819

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       188.4     183.9     180.1
kozaiamp        180.0     180.0     180.0