Orbit Fit and Astrometric record for 13RA157

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: 13RA157   
# Created Thu Dec  9 02:11:49 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     24 observations of     24
# Arc:   5.23y
# First observation: 2013/09/10
#  Last observation: 2018/12/02
# Chi-squared of fit:     8.18 DOF:     42 RMS:  0.10
# Min/Max residuals:    -0.21    0.37
# Exact a, adot, b, bdot, g, gdot:
  1.632551E-05  3.268371E-02 -1.080528E-05 -2.285621E-02  3.094878E-02  1.116979E-03
# Covariance matrix:
  1.7014E-13 -3.2464E-14 -2.6649E-15  1.9695E-14  1.3008E-13 -1.9669E-13
 -3.2464E-14  2.4861E-13  5.1829E-14 -1.6276E-13  2.8473E-13  1.4814E-12
 -2.6649E-15  5.1829E-14  1.4925E-13 -7.0806E-14  5.1858E-14  3.4488E-13
  1.9695E-14 -1.6276E-13 -7.0806E-14  1.3973E-13 -1.1791E-13 -1.1528E-12
  1.3008E-13  2.8473E-13  5.1858E-14 -1.1791E-13  8.5915E-13  1.0041E-12
 -1.9669E-13  1.4814E-12  3.4488E-13 -1.1528E-12  1.0041E-12  1.0599E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -14.644440   19.033014    0.528099   -0.216911   -0.830484  2456545.803528
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:            0.76504 +/-     0.006
Argument of Peri:      201.87690 +/-     0.016
Long of Asc Node:      178.84248 +/-     0.000
Inclination:            37.63863 +/-     0.000
Eccentricity:         0.39670642 +/-    0.0001
Semi-Major Axis:     54.93508186 +/-    0.0113
Time of Perihelion: 2456230.4524 +/-       2.7
Perihelion:          33.14198197 +/-    0.0090
Aphelion:            76.72818175 +/-    0.0169
Period (y)              407.1767 +/-      0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           30.53579600 +/-    0.0009
Ecliptic Y            9.97849249 +/-    0.0003
Ecliptic Z           -8.16933525 +/-    0.0002
Ecliptic XDOT        -0.00134195 +/-    0.0000
Ecliptic YDOT         0.00259657 +/-    0.0000
Ecliptic ZDOT        -0.00198111 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.14728908 +/-    0.0008
Geocenter to KBO     32.31146583 +/-    0.0010
# Hcoef:  8.35

The following table shows the complete astrometric record for 13RA157. 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 (13RA157) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.30275  01 32 23.110  -06 06 38.90  24.2g 13RA157   W84  C~52RN      
2013 09  10.30413  01 32 23.091  -06 06 38.84  23.7r 13RA157   W84  C~52RN      
2013 09  10.30552  01 32 23.092  -06 06 38.90  23.6i 13RA157   W84  C~52RN      
2013 09  11.28434  01 32 19.133  -06 07 31.26  24.3g 13RA157   W84  C~52RN      
2013 09  11.29219  01 32 19.117  -06 07 31.71  23.6r 13RA157   W84  C~52RN      
2013 10  02.28229  01 30 40.692  -06 25 51.56  22.9i 13RA157   W84  C~52RN      
2013 10  04.22956  01 30 30.555  -06 27 28.60  23.4r 13RA157   W84  C~52RN      
2013 10  04.23211  01 30 30.538  -06 27 28.80  23.6r 13RA157   W84  C~52RN      
2013 10  04.23349  01 30 30.533  -06 27 28.92  23.3i 13RA157   W84  C~52RN      
2014 10  03.25869  01 39 37.301  -06 56 40.26  23.0i 13RA157   W84  C~52RN      
2014 10  27.17465  01 37 28.903  -07 14 35.06  23.6r 13RA157   W84  C~52RN      
2015 10  17.18378  01 47 24.858  -07 37 09.30  23.3i 13RA157   W84  C~52RN      
2015 11  01.21126  01 46 03.063  -07 47 11.18  22.8z 13RA157   W84  C~52RN      
2017 09  26.28547  02 07 05.721  -08 17 02.39  24.1g 13RA157   W84  C~52RN      
2017 09  26.28686  02 07 05.711  -08 17 02.28  23.6i 13RA157   W84  C~52RN      
2017 11  01.19081  02 03 57.956  -08 44 32.33  22.6z 13RA157   W84  C~52RN      
2017 11  16.14009  02 02 38.740  -08 51 44.00  24.0r 13RA157   W84  C~52RN      
2017 11  16.14148  02 02 38.722  -08 51 44.12  23.9i 13RA157   W84  C~52RN      
2017 11  16.14286  02 02 38.739  -08 51 44.21  23.1g 13RA157   W84  C~52RN      
2017 11  27.15606  02 01 46.431  -08 54 57.28  22.5i 13RA157   W84  C~52RN      
2017 12  14.06902  02 00 42.929  -08 56 14.68  23.7r 13RA157   W84  C~52RN      
2018 11  17.15302  02 11 30.877  -09 19 14.75  23.6i 13RA157   W84  C~52RN      
2018 11  28.18958  02 10 37.417  -09 22 19.64  24.0r 13RA157   W84  C~52RN      
2018 12  02.14622  02 10 20.030  -09 22 58.03  24.3g 13RA157   W84  C~52RN      

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     0.14       0.00    -0.14
     2   0.0000      0.00    -0.06       0.00    -0.00
     3   0.0000      0.00     0.04       0.00     0.01
     4   0.0027      0.00    -0.13       0.00    -0.01
     5   0.0027      0.00     0.12       0.00    -0.04
     6   0.0602      0.00     0.04       0.00     0.00
     7   0.0655      0.00     0.03       0.00     0.11
     8   0.0655      0.00    -0.03       0.00     0.04
     9   0.0655      0.00     0.01       0.00    -0.01
    10   1.0622      0.00    -0.21       0.00    -0.09
    11   1.1276      0.00    -0.02       0.00     0.06
    12   2.0996      0.00    -0.07       0.00     0.18
    13   2.1407      0.00    -0.10       0.00     0.01
    14   4.0438      0.00     0.06       0.00    -0.19
    15   4.0438      0.00     0.01       0.00    -0.01
    16   4.1421      0.00     0.09       0.00     0.10
    17   4.1830      0.00     0.17       0.00     0.11
    18   4.1830      0.00     0.01       0.00     0.02
    19   4.1830      0.00     0.37       0.00    -0.04
    20   4.2132      0.00    -0.01       0.00    -0.08
    21   4.2595      0.00    -0.07       0.00    -0.01
    22   5.1851      0.00    -0.08       0.00    -0.03
    23   5.2153      0.00    -0.08       0.00    -0.04
    24   5.2261      0.00    -0.15       0.00     0.10

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.

13RA157    quality flag:2

Type:       CENTAURS  SCATNEAR  SCATNEAR

axisobj        55.283    55.283    55.284
ecceobj         0.401     0.401     0.401
incobj         37.553    37.553    37.553
qmin           30.064    31.129    31.657
qmax           82.920    79.610    79.043
amean          54.985    54.845    54.562
amin           54.155    54.127    53.818
amax           56.683    55.736    55.588
emean           0.418     0.406     0.399
emin            0.388     0.381     0.373
emax            0.463     0.432     0.422
imean          36.342    36.784    36.937
imin           34.946    35.954    36.331
imax           37.335    37.593    37.761
excite_mean     0.725     0.723     0.722
fracstop        1.000     1.000     1.000
cjmean          2.525     2.525     2.525

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       197.2     189.2     177.6
kozaiamp        180.0     179.9     179.9