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 Thu Dec  9 02:11:51 2021
# Orbit generated from Bernstein formalism
# Fitting     10 observations of     10
# Arc:   3.13y
# First observation: 2013/09/13
#  Last observation: 2016/10/29
Preliminary a, adot, b, bdot, g, gdot:
   0.000006   0.028735   0.000001   0.007958   0.026949   0.000000
# Chi-squared of fit:     3.63 DOF:     14 RMS:  0.11
# Min/Max residuals:    -0.24    0.19
# Exact a, adot, b, bdot, g, gdot:
  1.677054E-05  2.911124E-02  4.679185E-06  8.070592E-03  2.707529E-02  1.871680E-03
# Covariance matrix:
  1.2354E-12  9.9466E-13  2.2570E-14  2.4654E-13  3.5348E-12  8.4550E-12
  9.9466E-13  2.9291E-12 -2.1056E-14  7.8375E-13  4.8458E-12  3.1203E-11
  2.2570E-14 -2.1056E-14  2.9893E-13 -1.1634E-13  6.3767E-14 -4.4622E-13
  2.4654E-13  7.8375E-13 -1.1634E-13  2.9953E-13  1.1494E-12  8.9729E-12
  3.5348E-12  4.8458E-12  6.3767E-14  1.1494E-12  1.3625E-11  4.1350E-11
  8.4550E-12  3.1203E-11 -4.4622E-13  8.9729E-12  4.1350E-11  3.6679E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
    6.086211  -18.387196   -0.150769    0.105646   -0.989955  2456548.678358
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:           13.80845 +/-     0.131
Argument of Peri:      359.83760 +/-     0.209
Long of Asc Node:      321.43893 +/-     0.001
Inclination:            16.58021 +/-     0.001
Eccentricity:         0.20755427 +/-    0.0004
Semi-Major Axis:     47.29021419 +/-    0.0273
Time of Perihelion: 2451984.3521 +/-      43.0
Perihelion:          37.47492816 +/-    0.0277
Aphelion:            57.10550022 +/-    0.0372
Period (y)              325.2109 +/-      0.28
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           35.84305557 +/-    0.0047
Ecliptic Y          -11.75260499 +/-    0.0016
Ecliptic Z            3.91608188 +/-    0.0005
Ecliptic XDOT         0.00101886 +/-    0.0000
Ecliptic YDOT         0.00276018 +/-    0.0000
Ecliptic ZDOT         0.00083170 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.92339718 +/-    0.0045
Geocenter to KBO     36.93404415 +/-    0.0050
# Hcoef:  7.88

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 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      

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     0.05       0.00     0.01
     2   0.0463  -1252.76    -0.03      24.46     0.02
     3   0.0463  -1252.91    -0.08      24.40    -0.04
     4   0.0737  -1905.42     0.05      17.48     0.06
     5   0.0764  -1964.65    -0.00      15.88    -0.04
     6   2.1379   8803.91    -0.16    3229.73     0.19
     7   2.1515   8642.15     0.17    3200.78    -0.24
     8   3.1262  14867.11     0.09    4891.47     0.15
     9   3.1263  14866.90    -0.06    4891.15    -0.16
    10   3.1263  14866.87    -0.03    4891.36     0.05

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        47.564    47.646    47.482
ecceobj         0.213     0.214     0.212
incobj         16.544    16.544    16.543
qmin           36.161    36.055    36.202
qmax           58.957    59.370    58.862
amean          47.340    47.425    47.271
amin           46.900    46.951    46.827
amax           47.911    48.066    47.857
emean           0.214     0.214     0.213
emin            0.196     0.191     0.196
emax            0.233     0.237     0.233
imean          17.440    17.274    17.501
imin           16.836    16.469    16.926
imax           18.103    18.115    18.136
excite_mean     0.368     0.366     0.369
fracstop        1.000     1.000     1.000
cjmean          2.973     2.976     2.971

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     176.3     179.5
kozaiamp        180.0     179.9     179.9