Orbit Fit and Astrometric record for 13RF158

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: 13RF158   
# Created Wed Dec 25 02:09:32 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     24 observations of     24
# Arc:   8.95y
# First observation: 2013/09/13
#  Last observation: 2022/08/27
# Chi-squared of fit:    13.10 DOF:     42 RMS:  0.13
# Min/Max residuals:    -0.36    0.41
# Exact a, adot, b, bdot, g, gdot:
  1.630593E-05  2.910952E-02  5.077032E-06  8.070155E-03  2.707344E-02  1.848866E-03
# Covariance matrix:
  2.8975E-13 -1.3966E-13  4.1854E-14 -2.9770E-14  1.4099E-14 -3.9187E-13
 -1.3966E-13  9.9035E-14 -3.4180E-14  2.3810E-14 -2.8702E-14  3.1291E-13
  4.1854E-14 -3.4180E-14  1.6213E-13 -3.7820E-14  1.4100E-14 -1.1888E-13
 -2.9770E-14  2.3810E-14 -3.7820E-14  1.5886E-14 -5.9032E-15  8.3578E-14
  1.4099E-14 -2.8702E-14  1.4100E-14 -5.9032E-15  1.4616E-13 -7.3480E-14
 -3.9187E-13  3.1291E-13 -1.1888E-13  8.3578E-14 -7.3480E-14  1.0992E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    6.086211  -18.387196   -0.150769    0.105646   -0.989955  2456548.678358
# Heliocentric elements and errors
Epoch:              2456548.5000  =  2013/09/13
Mean Anomaly:           13.68157 +/-     0.006
Argument of Peri:        0.07828 +/-     0.009
Long of Asc Node:      321.43867 +/-     0.000
Inclination:            16.58013 +/-     0.000
Eccentricity:         0.20733224 +/-    0.0001
Semi-Major Axis:     47.29311847 +/-    0.0044
Time of Perihelion: 2452033.8024 +/-       2.0
Perihelion:          37.48773037 +/-    0.0047
Aphelion:            57.09850658 +/-    0.0062
Period (y)              325.2409 +/-      0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.84543087 +/-    0.0005
Ecliptic Y          -11.75341260 +/-    0.0002
Ecliptic Z            3.91636417 +/-    0.0001
Ecliptic XDOT         0.00101671 +/-    0.0000
Ecliptic YDOT         0.00276093 +/-    0.0000
Ecliptic ZDOT         0.00083147 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.92588098 +/-    0.0005
Geocenter to KBO     36.93656968 +/-    0.0005
# Hcoef:  7.94

The following table shows the complete astrometric record for 13RF158. 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 (13RF158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  13.17758  22 42 54.394  -01 34 31.05  23.4i 13RF158   W84  C~52RQ      
2013 09  30.08098  22 41 36.411  -01 42 01.36  24.2r 13RF158   W84  C~52RQ      
2013 09  30.08245  22 41 36.403  -01 42 01.47  23.3i 13RF158   W84  C~52RQ      
2013 10  10.11083  22 40 56.278  -01 46 14.13  23.9r 13RF158   W84  C~52RQ      
2013 10  11.09797  22 40 52.660  -01 46 37.97  23.4z 13RF158   W84  C~52RQ      
2015 11  03.04829  22 50 36.174  +00 10 41.69  23.9r 13RF158   W84  C~52RQ      
2015 11  08.03057  22 50 26.937  +00 09 13.94  22.9i 13RF158   W84  C~52RQ      
2016 07  05.51462  23 03 48.25   +01 51 18.1   23.7i 13RF158   T09  C~89NQ      
2016 07  05.53360  23 03 48.21   +01 51 18.3   23.7i 13RF158   T09  C~89NQ      
2016 07  05.54987  23 03 48.16   +01 51 18.4   23.7i 13RF158   T09  C~89NQ      
2016 07  05.56071  23 03 48.15   +01 51 18.3   23.6i 13RF158   T09  C~89NQ      
2016 07  12.47246  23 03 33.08   +01 51 31.5   24.0z 13RF158   T09  C~8GyC      
2016 07  12.50770  23 03 32.99   +01 51 31.3   23.6z 13RF158   T09  C~8GyC      
2016 07  12.51040  23 03 33.00   +01 51 31.5   23.8z 13RF158   T09  C~8GyC      
2016 07  12.52931  23 03 32.94   +01 51 31.3   23.9z 13RF158   T09  C~8GyC      
2016 07  12.60472  23 03 32.75   +01 51 31.3   23.5z 13RF158   T09  C~8GyC      
2016 07  12.61283  23 03 32.72   +01 51 31.3   23.4z 13RF158   T09  C~8GyC      
2016 07  12.61553  23 03 32.72   +01 51 31.3   23.5z 13RF158   T09  C~8GyC      
2016 10  29.03937  22 56 07.363  +01 14 16.69  24.1r 13RF158   W84  C~52RQ      
2016 10  29.04075  22 56 07.358  +01 14 16.32  23.0i 13RF158   W84  C~52RQ      
2016 10  29.04213  22 56 07.351  +01 14 16.50  24.0g 13RF158   W84  C~52RQ      
2022 08  27.263980 23 32 46.335  +07 49 26.86  23.8G 13RF158   G37  C~5nHa      
2022 08  27.310570 23 32 46.107  +07 49 26.06        13RF158   G37  C~5nHa      
2022 08  27.357570 23 32 45.898  +07 49 25.04        13RF158   G37  C~5nHa      

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     0.16       0.00    -0.02
     2   0.0463      0.00     0.01       0.00    -0.06
     3   0.0463      0.00    -0.02       0.00    -0.13
     4   0.0737      0.00     0.02       0.00    -0.01
     5   0.0764      0.00     0.01       0.00    -0.13
     6   2.1379      0.00    -0.05       0.00     0.12
     7   2.1515      0.00     0.41       0.00    -0.16
     8   2.8100      0.00     0.08       0.00     0.09
     9   2.8100      0.00     0.04       0.00     0.21
    10   2.8101      0.00    -0.23       0.00     0.24
    11   2.8101      0.00    -0.06       0.00     0.10
    12   2.8290      0.00    -0.11       0.00     0.19
    13   2.8291      0.00    -0.11       0.00     0.00
    14   2.8291      0.00     0.14       0.00     0.20
    15   2.8292      0.00    -0.04       0.00     0.01
    16   2.8294      0.00     0.01       0.00     0.03
    17   2.8294      0.00    -0.12       0.00     0.03
    18   2.8294      0.00    -0.02       0.00     0.03
    19   3.1262      0.00    -0.01       0.00    -0.02
    20   3.1263      0.00    -0.03       0.00    -0.36
    21   3.1263      0.00    -0.08       0.00    -0.15
    22   8.9530      0.00     0.10       0.00    -0.06
    23   8.9531      0.00    -0.08       0.00     0.02
    24   8.9533      0.00     0.07       0.00    -0.11

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.

13RF158    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        47.570    47.570    47.570
ecceobj         0.212     0.212     0.212
incobj         16.543    16.543    16.543
qmin           36.249    36.249    36.249
qmax           59.156    59.156    59.155
amean          47.340    47.339    47.339
amin           46.919    46.896    46.911
amax           47.921    47.914    47.914
emean           0.213     0.213     0.213
emin            0.195     0.195     0.196
emax            0.235     0.235     0.235
imean          17.437    17.439    17.439
imin           16.828    16.834    16.828
imax           18.084    18.084    18.085
excite_mean     0.368     0.368     0.368
fracstop        1.000     1.000     1.000
cjmean          2.973     2.973     2.973

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     172.9     172.9
kozaiamp        180.0     179.9     179.9