Orbit Fit and Astrometric record for 13RJ158

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: 13RJ158   
# Created Fri Mar 29 01:15:36 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     27 observations of     27
# Arc:  10.01y
# First observation: 2013/09/01
#  Last observation: 2023/09/06
# Chi-squared of fit:     7.82 DOF:     48 RMS:  0.10
# Min/Max residuals:    -0.24    0.24
# Exact a, adot, b, bdot, g, gdot:
  2.007730E-05  3.319166E-02 -3.787960E-06 -6.882691E-03  2.739697E-02  1.027391E-02
# Covariance matrix:
  3.2468E-13 -6.5335E-14  5.2828E-15  6.5472E-15  2.7865E-13 -1.1687E-13
 -6.5335E-14  5.2236E-14  1.6588E-14 -9.7784E-15  7.1155E-14  1.5941E-13
  5.2828E-15  1.6588E-14  1.6952E-13 -3.1700E-14  7.5474E-14  6.1684E-14
  6.5472E-15 -9.7784E-15 -3.1700E-14  9.7428E-15 -1.9834E-14 -3.5122E-14
  2.7865E-13  7.1155E-14  7.5474E-14 -1.9834E-14  9.7709E-13  2.9749E-13
 -1.1687E-13  1.5941E-13  6.1684E-14 -3.5122E-14  2.9749E-13  5.7127E-13
#      lat0       lon0       xBary       yBary       zBary        JD0
   12.957244  -34.374723   -0.226052    0.220881   -0.959682  2456536.646108
# Heliocentric elements and errors
Epoch:              2456536.5000  =  2013/09/01
Mean Anomaly:            8.71798 +/-     0.006
Argument of Peri:       86.88624 +/-     0.008
Long of Asc Node:      192.48897 +/-     0.000
Inclination:            17.15137 +/-     0.000
Eccentricity:         0.62907737 +/-    0.0001
Semi-Major Axis:     89.41957524 +/-    0.0372
Time of Perihelion: 2449057.2086 +/-       6.7
Perihelion:          33.16774401 +/-    0.0182
Aphelion:           145.67140647 +/-    0.0617
Period (y)              845.5847 +/-      0.53
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           30.29960461 +/-    0.0011
Ecliptic Y          -20.44985613 +/-    0.0007
Ecliptic Z            8.18412694 +/-    0.0003
Ecliptic XDOT         0.00281967 +/-    0.0000
Ecliptic YDOT         0.00208459 +/-    0.0000
Ecliptic ZDOT        -0.00043994 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   37.45965991 +/-    0.0009
Geocenter to KBO     36.50021392 +/-    0.0013
# Hcoef:  6.89

The following table shows the complete astrometric record for 13RJ158. 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 (13RJ158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  01.14533  21 34 12.946  -00 45 11.69  23.9g 13RJ158   W84  C~55Nc      
2013 09  03.174583 21 34 03.87   -00 46 19.1   24.1g 13RJ158   W84  C~55Nc      
2013 09  29.111389 21 32 25.58   -01 01 17.5   22.5r 13RJ158   W84  C~55Nc      
2013 09  29.129641 21 32 25.52   -01 01 18.1   22.3i 13RJ158   W84  C~55Nc      
2013 10  11.059734 21 31 55.97   -01 07 58.2   22.3z 13RJ158   W84  C~55Nc      
2013 10  12.010069 21 31 54.16   -01 08 28.7   21.9z 13RJ158   W84  C~55Nc      
2016 09  05.21464  21 56 14.872  -00 03 37.02  23.0r 13RJ158   W84  C~55Nc      
2016 09  07.151088 21 56 06.37   -00 04 41.4   23.2g 13RJ158   W84  C~55Nc      
2016 09  26.031933 21 54 51.72   -00 15 31.0   22.1r 13RJ158   W84  C~55Nc      
2016 09  26.033299 21 54 51.71   -00 15 31.0   21.8i 13RJ158   W84  C~55Nc      
2016 09  26.034664 21 54 51.70   -00 15 30.8   23.4g 13RJ158   W84  C~55Nc      
2016 09  28.029502 21 54 44.92   -00 16 39.7   22.1z 13RJ158   W84  C~55Nc      
2017 08  19.21370  22 04 41.535  +00 19 20.44  23.1r 13RJ158   W84  C~55Nc      
2017 09  27.07491  22 01 56.329  -00 01 50.28  22.8r 13RJ158   W84  C~55Nc      
2017 09  27.07628  22 01 56.320  -00 01 50.37  22.3i 13RJ158   W84  C~55Nc      
2017 09  27.07765  22 01 56.319  -00 01 50.34  22.9z 13RJ158   W84  C~55Nc      
2017 10  21.04619  22 00 52.809  -00 14 49.63  24.2g 13RJ158   W84  C~55Nc      
2017 10  21.04755  22 00 52.794  -00 14 49.62  23.1r 13RJ158   W84  C~55Nc      
2017 10  22.04361  22 00 51.144  -00 15 19.06  22.5i 13RJ158   W84  C~55Nc      
2017 10  26.03988  22 00 45.437  -00 17 13.43  22.1z 13RJ158   W84  C~55Nc      
2018 09  17.21635  22 09 33.402  +00 17 47.47  23.0r 13RJ158   W84  C~55Nc      
2018 09  17.21772  22 09 33.401  +00 17 47.35  22.6z 13RJ158   W84  C~55Nc      
2018 09  17.21909  22 09 33.387  +00 17 47.39  22.5i 13RJ158   W84  C~55Nc      
2018 11  26.03137  22 07 41.766  -00 14 09.60  22.6z 13RJ158   W84  C~55Nc      
2023 09  06.265000 22 43 03.604  +01 28 34.69  22.4G 13RJ158   G37  C~7Ax8      
2023 09  06.301500 22 43 03.446  +01 28 33.59        13RJ158   G37  C~7Ax8      
2023 09  06.337840 22 43 03.286  +01 28 32.27        13RJ158   G37  C~7Ax8      

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    -0.17       0.00    -0.10
     2   0.0056      0.00     0.12       0.00     0.10
     3   0.0766      0.00     0.00       0.00    -0.05
     4   0.0766      0.00    -0.06       0.00    -0.03
     5   0.1093      0.00    -0.00       0.00    -0.11
     6   0.1119      0.00     0.18       0.00    -0.02
     7   3.0118      0.00     0.08       0.00    -0.24
     8   3.0171      0.00    -0.12       0.00     0.16
     9   3.0688      0.00     0.08       0.00    -0.08
    10   3.0688      0.00     0.00       0.00    -0.03
    11   3.0688      0.00    -0.07       0.00     0.21
    12   3.0743      0.00    -0.02       0.00     0.05
    13   3.9646      0.00     0.04       0.00     0.24
    14   4.0710      0.00    -0.02       0.00    -0.00
    15   4.0710      0.00    -0.08       0.00    -0.04
    16   4.0710      0.00    -0.02       0.00     0.03
    17   4.1366      0.00     0.13       0.00    -0.03
    18   4.1366      0.00    -0.06       0.00     0.02
    19   4.1394      0.00    -0.07       0.00    -0.04
    20   4.1503      0.00     0.18       0.00     0.08
    21   5.0433      0.00     0.00       0.00     0.06
    22   5.0433      0.00     0.07       0.00    -0.01
    23   5.0433      0.00    -0.05       0.00     0.08
    24   5.2345      0.00    -0.08       0.00    -0.03
    25  10.0126      0.00    -0.01       0.00    -0.01
    26  10.0127      0.00     0.01       0.00     0.02
    27  10.0128      0.00    -0.01       0.00    -0.18

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.

13RJ158    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        89.984    89.985    89.984
ecceobj         0.631     0.631     0.631
incobj         17.141    17.141    17.141
qmin           32.409    32.387    31.865
qmax          164.361   160.628   159.755
amean          90.523    92.597    90.651
amin           87.643    87.938    87.740
amax           98.967    97.644    96.799
emean           0.626     0.631     0.630
emin            0.606     0.614     0.611
emax            0.661     0.650     0.653
imean          18.406    18.937    17.662
imin           16.963    16.942    15.730
imax           19.890    20.662    18.811
excite_mean     0.701     0.710     0.700
fracstop        1.000     1.000     1.000
cjmean          2.897     2.897     2.898

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       192.6     197.8     187.3
kozaiamp        180.0     180.0     180.0