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 Tue Apr  1 01:09:39 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     38 observations of     38
# Arc:  11.13y
# First observation: 2013/09/13
#  Last observation: 2024/11/01
# Chi-squared of fit:    20.11 DOF:     70 RMS:  0.13
# Min/Max residuals:    -0.30    0.41
# Exact a, adot, b, bdot, g, gdot:
  1.680721E-05  2.816072E-02 -9.476580E-06 -1.477940E-02  2.685446E-02 -1.812920E-03
# Covariance matrix:
  2.6849E-13 -9.8663E-14 -8.7213E-14  4.3485E-14 -1.5960E-14 -2.3411E-13
 -9.8663E-14  4.5404E-14  4.4625E-14 -2.2258E-14  7.4106E-15  1.1985E-13
 -8.7213E-14  4.4625E-14  1.6688E-13 -4.6195E-14  7.1499E-16  1.3646E-13
  4.3485E-14 -2.2258E-14 -4.6195E-14  1.8331E-14  9.4497E-16 -6.8394E-14
 -1.5960E-14  7.4106E-15  7.1499E-16  9.4497E-16  1.1937E-13 -7.6482E-15
 -2.3411E-13  1.1985E-13  1.3646E-13 -6.8394E-14 -7.6482E-15  3.6891E-13
#      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:          354.74377 +/-     0.002
Argument of Peri:      177.17629 +/-     0.005
Long of Asc Node:      181.16092 +/-     0.000
Inclination:            28.52904 +/-     0.000
Eccentricity:         0.36474172 +/-    0.0001
Semi-Major Axis:     59.83240146 +/-    0.0057
Time of Perihelion: 2459016.6700 +/-      23.9
Perihelion:          38.00902840 +/-    0.0048
Aphelion:            81.65577452 +/-    0.0084
Period (y)              462.8208 +/-      0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           37.11667909 +/-    0.0005
Ecliptic Y           -7.88871703 +/-    0.0001
Ecliptic Z            4.69631738 +/-    0.0001
Ecliptic XDOT         0.00060045 +/-    0.0000
Ecliptic YDOT         0.00280503 +/-    0.0000
Ecliptic ZDOT        -0.00151792 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   38.23529923 +/-    0.0005
Geocenter to KBO     37.23783858 +/-    0.0005
# Hcoef:  7.53

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 08  01.45987  23 29 05.38   +01 49 11.9   23.8z 13RG158   T09  C~7mvK      
2016 08  01.47877  23 29 05.33   +01 49 11.2   23.9z 13RG158   T09  C~7mvK      
2016 08  01.49230  23 29 05.28   +01 49 10.9   23.2z 13RG158   T09  C~7mvK      
2016 08  01.52754  23 29 05.16   +01 49 10.0   23.4z 13RG158   T09  C~7mvK      
2016 08  01.55200  23 29 05.10   +01 49 09.3   23.6z 13RG158   T09  C~7mvK      
2016 08  01.58461  23 29 04.98   +01 49 08.7   23.2z 13RG158   T09  C~7mvK      
2016 08  09.44305  23 28 38.68   +01 45 48.4   22.6y 13RG158   T09  C~7mvK      
2016 08  09.46829  23 28 38.59   +01 45 47.6   23.2y 13RG158   T09  C~7mvK      
2016 08  09.48473  23 28 38.53   +01 45 47.3   22.7y 13RG158   T09  C~7mvK      
2016 08  09.51797  23 28 38.40   +01 45 46.4   23.3y 13RG158   T09  C~7mvK      
2016 08  09.55952  23 28 38.26   +01 45 45.1   22.4y 13RG158   T09  C~7mvK      
2016 08  28.39121  23 27 22.18   +01 35 49.7   24.2g 13RG158   T09  C~7gpV      
2016 08  28.41119  23 27 22.09   +01 35 49.0   24.5g 13RG158   T09  C~7gpV      
2016 08  28.41778  23 27 22.06   +01 35 48.7   24.6g 13RG158   T09  C~7gpV      
2016 09  07.38805  23 26 37.04   +01 29 43.2   23.6r 13RG158   T09  C~85Du      
2016 09  07.40976  23 26 36.94   +01 29 42.4   23.4r 13RG158   T09  C~85Du      
2016 09  07.45841  23 26 36.70   +01 29 40.7   23.8r 13RG158   T09  C~85Du      
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      
2024 11  01.100500 00 21 17.548  -00 21 44.07  23.3G 13RG158   G37  C~8SP3      
2024 11  01.149770 00 21 17.374  -00 21 45.67        13RG158   G37  C~8SP3      
2024 11  01.195920 00 21 17.165  -00 21 46.92        13RG158   G37  C~8SP3      

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    -0.11       0.00     0.13
     2   0.0000      0.00     0.07       0.00    -0.07
     3   0.1227      0.00    -0.01       0.00    -0.03
     4   0.1940      0.00    -0.10       0.00     0.08
     5   1.1224      0.00     0.41       0.00     0.28
     6   2.1460      0.00     0.01       0.00    -0.20
     7   2.1460      0.00    -0.12       0.00    -0.00
     8   2.8837      0.00    -0.01       0.00     0.33
     9   2.8838      0.00     0.14       0.00     0.07
    10   2.8838      0.00     0.03       0.00     0.08
    11   2.8839      0.00    -0.08       0.00     0.01
    12   2.8840      0.00     0.19       0.00    -0.12
    13   2.8840      0.00    -0.06       0.00     0.04
    14   2.9056      0.00    -0.07       0.00     0.09
    15   2.9056      0.00    -0.03       0.00    -0.02
    16   2.9057      0.00    -0.02       0.00     0.14
    17   2.9058      0.00    -0.14       0.00     0.15
    18   2.9059      0.00     0.06       0.00    -0.01
    19   2.9574      0.00    -0.04       0.00     0.05
    20   2.9575      0.00    -0.04       0.00     0.05
    21   2.9575      0.00    -0.05       0.00    -0.02
    22   2.9848      0.00     0.00       0.00    -0.10
    23   2.9849      0.00     0.03       0.00    -0.08
    24   2.9850      0.00    -0.15       0.00     0.06
    25   3.0471      0.00     0.04       0.00    -0.17
    26   3.1454      0.00     0.17       0.00    -0.03
    27   4.1557      0.00     0.12       0.00    -0.29
    28   4.1557      0.00    -0.06       0.00    -0.04
    29   4.1721      0.00    -0.01       0.00    -0.22
    30   4.1721      0.00     0.13       0.00    -0.20
    31   4.1721      0.00    -0.02       0.00    -0.06
    32   4.1995      0.00    -0.05       0.00     0.14
    33   5.0105      0.00     0.08       0.00    -0.12
    34   5.0105      0.00     0.07       0.00    -0.01
    35   5.0105      0.00    -0.21       0.00    -0.05
    36  11.1346      0.00     0.08       0.00     0.09
    37  11.1347      0.00     0.24       0.00    -0.01
    38  11.1349      0.00    -0.30       0.00     0.15

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        60.270    60.270    60.270
ecceobj         0.370     0.370     0.370
incobj         28.466    28.466    28.466
qmin           36.578    36.234    36.482
qmax           84.145    84.808    84.361
amean          59.818    59.847    59.860
amin           59.142    59.123    59.154
amax           60.700    60.768    60.754
emean           0.366     0.372     0.367
emin            0.346     0.355     0.350
emax            0.387     0.396     0.389
imean          28.012    27.755    27.988
imin           27.278    26.953    27.279
imax           28.666    28.329    28.523
excite_mean     0.595     0.596     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       172.8     187.1     190.0
kozaiamp        180.0     180.0     180.0