Orbit Fit and Astrometric record for 13RJ124

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: 13RJ124   
# Created Fri Oct  7 01:14:25 2022
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     32 observations of     32
# Arc:   7.03y
# First observation: 2013/09/10
#  Last observation: 2020/09/21
# Chi-squared of fit:     8.79 DOF:     58 RMS:  0.09
# Min/Max residuals:    -0.23    0.27
# Exact a, adot, b, bdot, g, gdot:
  1.508046E-05  2.126082E-02 -2.198946E-07 -8.567423E-05  2.284810E-02  1.466707E-03
# Covariance matrix:
  2.2121E-13 -7.7763E-14 -5.0451E-16  2.8461E-16  9.3672E-14 -3.2804E-13
 -7.7763E-14  8.5539E-14  2.4366E-16 -3.1708E-16  4.5907E-14  5.7064E-13
 -5.0451E-16  2.4366E-16  1.1447E-13 -3.2614E-14 -3.9185E-16  1.8073E-15
  2.8461E-16 -3.1708E-16 -3.2614E-14  1.5553E-14 -8.0819E-17 -2.5439E-15
  9.3672E-14  4.5907E-14 -3.9185E-16 -8.0819E-17  2.2594E-13  4.3799E-13
 -3.2804E-13  5.7064E-13  1.8073E-15 -2.5439E-15  4.3799E-13  4.6734E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -4.115591   17.755295    0.508051   -0.062361   -0.868095  2456545.854968
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:          102.99669 +/-     0.073
Argument of Peri:      156.63325 +/-     0.065
Long of Asc Node:      111.20075 +/-     0.005
Inclination:             4.04545 +/-     0.000
Eccentricity:         0.05733087 +/-    0.0001
Semi-Major Axis:     43.93811486 +/-    0.0033
Time of Perihelion: 2426110.9383 +/-      21.8
Perihelion:          41.41910452 +/-    0.0052
Aphelion:            46.45712520 +/-    0.0054
Period (y)              291.2529 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           42.55839414 +/-    0.0009
Ecliptic Y           13.09718192 +/-    0.0003
Ecliptic Z           -3.14116439 +/-    0.0001
Ecliptic XDOT        -0.00061684 +/-    0.0000
Ecliptic YDOT         0.00247837 +/-    0.0000
Ecliptic ZDOT        -0.00002271 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.63873694 +/-    0.0008
Geocenter to KBO     43.76729255 +/-    0.0009
# Hcoef:  6.27

The following table shows the complete astrometric record for 13RJ124. 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 (13RJ124) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.35419  01 11 46.506  +03 09 39.96  23.9g 13RJ124   W84  C~4yQs      
2013 09  10.35559  01 11 46.507  +03 09 39.97  22.6r 13RJ124   W84  C~4yQs      
2013 09  10.35559  01 11 46.51   +03 09 40.0   22.5r 13RJ124   W84  C~3clA      
2013 09  10.35696  01 11 46.496  +03 09 39.91  22.3i 13RJ124   W84  C~4yQs      
2013 09  10.35696  01 11 46.50   +03 09 39.9   22.5i 13RJ124   W84  C~3clA      
2013 11  22.15247  01 07 00.794  +02 41 08.46  22.4i 13RJ124   W84  C~4yQs      
2013 11  22.15385  01 07 00.770  +02 41 08.05  22.7z 13RJ124   W84  C~4yQs      
2014 10  29.22470  01 12 59.150  +03 16 16.10  22.6r 13RJ124   W84  C~4yQs      
2014 10  29.22605  01 12 59.146  +03 16 16.09  22.8i 13RJ124   W84  C~4yQs      
2014 10  29.22605  01 12 59.15   +03 16 16.1   22.8i 13RJ124   W84  C~3clA      
2014 11  15.07745  01 11 54.897  +03 10 29.13  22.6r 13RJ124   W84  C~4yQs      
2014 11  15.07745  01 11 54.90   +03 10 29.1   22.7r 13RJ124   W84  C~3clA      
2014 11  17.07820  01 11 48.061  +03 09 54.46  22.5z 13RJ124   W84  C~4yQs      
2014 11  27.07245  01 11 17.256  +03 07 27.31  22.0z 13RJ124   W84  C~4yQs      
2015 11  07.11459  01 16 55.362  +03 40 24.10  22.1i 13RJ124   W84  C~4yQs      
2015 11  07.11459  01 16 55.36   +03 40 24.1   22.2i 13RJ124   W84  C~3clA      
2015 11  07.11595  01 16 55.358  +03 40 23.99  22.7r 13RJ124   W84  C~4yQs      
2015 11  07.11595  01 16 55.36   +03 40 24.0   22.8r 13RJ124   W84  C~3clA      
2015 11  07.11732  01 16 55.338  +03 40 24.20  23.7g 13RJ124   W84  C~4yQs      
2016 08  26.33786  01 26 01.057  +04 36 30.69  22.4i 13RJ124   W84  C~4yQs      
2016 08  26.33786  01 26 01.06   +04 36 30.7   22.5i 13RJ124   W84  C~3clA      
2016 08  26.33924  01 26 01.051  +04 36 30.53  22.7r 13RJ124   W84  C~4yQs      
2016 08  26.33924  01 26 01.05   +04 36 30.6   22.7r 13RJ124   W84  C~3clA      
2016 08  31.36101  01 25 47.699  +04 34 49.43  23.4g 13RJ124   W84  C~4yQs      
2016 10  29.19725  01 21 58.315  +04 10 32.84  23.1g 13RJ124   W84  C~4yQs      
2016 10  29.19725  01 21 58.32   +04 10 32.9   23.6g 13RJ124   W84  C~3clA      
2016 11  05.15757  01 21 30.051  +04 07 57.31  23.0r 13RJ124   W84  C~4yQs      
2016 11  05.15757  01 21 30.05   +04 07 57.3   23.0r 13RJ124   W84  C~3clA      
2016 11  05.15895  01 21 30.035  +04 07 57.16  22.3i 13RJ124   W84  C~4yQs      
2016 11  05.15895  01 21 30.03   +04 07 57.2   22.4i 13RJ124   W84  C~3clA      
2020 09  21.422790 01 42 34.529  +06 13 05.46  22.6G 13RJ124   G37  C~49w5      
2020 09  21.459990 01 42 34.382  +06 13 04.54        13RJ124   G37  C~49w5      

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    -0.08       0.00     0.00
     2   0.0000      0.00     0.01       0.00     0.05
     3   0.0000      0.00     0.05       0.00     0.08
     4   0.0000      0.00    -0.02       0.00     0.01
     5   0.0000      0.00    -0.08       0.00     0.02
     6   0.1993      0.00     0.12       0.00     0.16
     7   0.1993      0.00    -0.18       0.00    -0.23
     8   1.1331      0.00    -0.00       0.00     0.03
     9   1.1331      0.00     0.08       0.00     0.06
    10   1.1331      0.00     0.02       0.00     0.05
    11   1.1793      0.00     0.01       0.00    -0.01
    12   1.1793      0.00    -0.03       0.00     0.02
    13   1.1847      0.00    -0.06       0.00    -0.11
    14   1.2121      0.00     0.11       0.00    -0.04
    15   2.1568      0.00     0.10       0.00     0.01
    16   2.1568      0.00     0.07       0.00     0.01
    17   2.1568      0.00     0.15       0.00    -0.06
    18   2.1568      0.00     0.12       0.00    -0.07
    19   2.1568      0.00    -0.10       0.00     0.17
    20   2.9596      0.00     0.10       0.00    -0.06
    21   2.9596      0.00     0.05       0.00    -0.07
    22   2.9596      0.00     0.00       0.00    -0.14
    23   2.9596      0.00     0.02       0.00    -0.21
    24   2.9733      0.00    -0.01       0.00     0.27
    25   3.1344      0.00    -0.05       0.00     0.10
    26   3.1344      0.00    -0.12       0.00     0.04
    27   3.1535      0.00     0.05       0.00     0.03
    28   3.1535      0.00     0.06       0.00     0.04
    29   3.1535      0.00    -0.17       0.00    -0.04
    30   3.1535      0.00    -0.09       0.00    -0.08
    31   7.0310      0.00     0.05       0.00     0.05
    32   7.0311      0.00    -0.06       0.00     0.02

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.

13RJ124    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        44.186    44.187    44.186
ecceobj         0.058     0.058     0.058
incobj          4.045     4.045     4.045
qmin           40.758    40.757    40.759
qmax           47.319    47.331    47.313
amean          43.926    43.926    43.926
amin           43.572    43.582    43.578
amax           44.295    44.299    44.285
emean           0.052     0.052     0.052
emin            0.035     0.035     0.036
emax            0.069     0.069     0.069
imean           2.487     2.487     2.487
imin            1.823     1.824     1.823
imax            3.150     3.150     3.150
excite_mean     0.068     0.068     0.068
fracstop        1.000     1.000     1.000
cjmean          3.095     3.095     3.095

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       180.6     180.6     180.5
kozaiamp        179.9     179.9     179.9