Orbit Fit and Astrometric record for 13RK158

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: 13RK158   
# Created Sat Dec  4 02:11:57 2021
# Orbit generated from Bernstein formalism
# Fitting     25 observations of     25
# Arc:   4.21y
# First observation: 2013/09/03
#  Last observation: 2017/11/20
Preliminary a, adot, b, bdot, g, gdot:
  -0.000012   0.026456   0.000011   0.006716   0.025456   0.000000
# Chi-squared of fit:     9.66 DOF:     44 RMS:  0.11
# Min/Max residuals:    -0.26    0.23
# Exact a, adot, b, bdot, g, gdot:
  1.641369E-05  2.652095E-02  4.273376E-06  6.715926E-03  2.585441E-02 -1.674285E-03
# Covariance matrix:
  1.7524E-13 -1.5747E-13  9.6524E-15 -4.4749E-14  5.5245E-14 -1.1614E-12
 -1.5747E-13  6.4934E-13 -7.5535E-14  1.5879E-13  7.3329E-13  5.5348E-12
  9.6524E-15 -7.5535E-14  1.4832E-13 -5.1145E-14 -1.5159E-13 -6.2677E-13
 -4.4749E-14  1.5879E-13 -5.1145E-14  7.1565E-14 -1.0321E-14  1.4958E-12
  5.5245E-14  7.3329E-13 -1.5159E-13 -1.0321E-14  3.4752E-12  4.9994E-12
 -1.1614E-12  5.5348E-12 -6.2677E-13  1.4958E-12  4.9994E-12  4.9235E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -31.905156  -60.913291   -0.666659   -0.400841   -0.643980  2456538.553857
# Heliocentric elements and errors
Epoch:              2456530.5000  =  2013/08/26
Mean Anomaly:          342.10655 +/-     0.094
Argument of Peri:      315.73010 +/-     0.123
Long of Asc Node:        3.22399 +/-     0.001
Inclination:            34.32795 +/-     0.000
Eccentricity:         0.12275315 +/-    0.0002
Semi-Major Axis:     44.44441335 +/-    0.0144
Time of Perihelion: 2461909.6775 +/-      28.2
Perihelion:          38.98872152 +/-    0.0168
Aphelion:            49.90010519 +/-    0.0196
Period (y)              296.3016 +/-      0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           16.91374853 +/-    0.0012
Ecliptic Y          -29.02991371 +/-    0.0021
Ecliptic Z          -20.44181022 +/-    0.0015
Ecliptic XDOT         0.00255762 +/-    0.0000
Ecliptic YDOT         0.00116723 +/-    0.0000
Ecliptic ZDOT         0.00069758 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   39.32783219 +/-    0.0018
Geocenter to KBO     38.67812189 +/-    0.0028
# Hcoef:  7.09

The following table shows the complete astrometric record for 13RK158. 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 (13RK158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  03.053079 20 45 02.44   -51 15 37.6   23.4g 13RK158   W84  C~55Nc      
2013 09  03.132639 20 45 01.91   -51 15 36.2   23.0r 13RK158   W84  C~55Nc      
2013 09  03.134016 20 45 01.91   -51 15 36.1   22.9i 13RK158   W84  C~55Nc      
2013 09  04.10242  20 44 55.665  -51 15 17.99  23.4g 13RK158   W84  C~55Nc      
2013 09  04.147361 20 44 55.38   -51 15 16.9   22.7i 13RK158   W84  C~55Nc      
2013 09  08.038368 20 44 31.22   -51 13 55.7   23.4g 13RK158   W84  C~55Nc      
2013 09  13.037095 20 44 02.40   -51 11 51.4   23.1i 13RK158   W84  C~55Nc      
2013 09  13.038484 20 44 02.35   -51 11 51.1   22.7z 13RK158   W84  C~55Nc      
2014 09  12.047500 20 52 27.50   -50 21 30.2   23.2r 13RK158   W84  C~55Nc      
2014 09  12.048866 20 52 27.48   -50 21 30.0   22.8i 13RK158   W84  C~55Nc      
2014 09  15.067060 20 52 10.59   -50 20 14.7   23.0r 13RK158   W84  C~55Nc      
2014 09  20.020174 20 51 45.02   -50 17 54.0   22.8i 13RK158   W84  C~55Nc      
2014 10  14.00682  20 50 25.688  -50 02 04.22  23.2z 13RK158   W84  C~55Nc      
2016 09  08.16248  21 08 35.445  -48 33 46.83  24.0g 13RK158   W84  C~55Nc      
2017 09  12.10424  21 15 43.348  -47 35 11.33  24.1g 13RK158   W84  C~55Nc      
2017 09  23.06438  21 14 43.456  -47 31 12.36  22.3r 13RK158   W84  C~55Nc      
2017 09  23.06575  21 14 43.438  -47 31 12.29  22.6i 13RK158   W84  C~55Nc      
2017 09  27.00656  21 14 24.925  -47 29 20.58  22.7i 13RK158   W84  C~55Nc      
2017 09  27.04579  21 14 24.752  -47 29 19.43  22.8r 13RK158   W84  C~55Nc      
2017 09  27.04716  21 14 24.751  -47 29 19.31  23.4z 13RK158   W84  C~55Nc      
2017 10  13.01331  21 13 28.819  -47 19 38.51  23.5g 13RK158   W84  C~55Nc      
2017 10  16.09762  21 13 21.828  -47 17 24.56  23.2r 13RK158   W84  C~55Nc      
2017 10  19.08949  21 13 16.329  -47 15 08.83  23.7g 13RK158   W84  C~55Nc      
2017 10  30.05167  21 13 07.043  -47 06 05.73  22.8z 13RK158   W84  C~55Nc      
2017 11  20.03484  21 13 37.911  -46 46 18.43  22.9i 13RK158   W84  C~55Nc      

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    -0.04       0.00    -0.03
     2   0.0002     -4.30    -0.08       2.87    -0.06
     3   0.0002     -4.27     0.03       2.96    -0.02
     4   0.0029    -54.43    -0.01      38.29     0.02
     5   0.0030    -56.64     0.13      40.16     0.21
     6   0.0136   -247.47     0.17     187.28    -0.05
     7   0.0273   -467.13     0.05     388.61    -0.15
     8   0.0273   -467.48    -0.25     389.04     0.23
     9   1.0239   5038.46     0.06    1721.91    -0.17
    10   1.0239   5038.35     0.01    1722.16     0.02
    11   1.0322   4910.83     0.07    1846.94     0.03
    12   1.0458   4726.25     0.07    2060.87     0.11
    13   1.1114   4318.08    -0.25    3208.69    -0.26
    14   3.0147  16196.26     0.08    4385.60     0.19
    15   4.0248  21570.36     0.02    5943.51    -0.12
    16   4.0548  21107.13    -0.02    6408.49     0.00
    17   4.0548  21106.98    -0.11    6408.63     0.08
    18   4.0656  20978.74    -0.09    6587.02     0.01
    19   4.0657  20977.58    -0.03    6588.78    -0.04
    20   4.0657  20977.62     0.05    6588.89     0.01
    21   4.1094  20686.52    -0.07    7352.10    -0.00
    22   4.1178  20674.56     0.04    7504.20     0.07
    23   4.1260  20677.30     0.16    7651.93    -0.11
    24   4.1561  20807.93     0.07    8191.86    -0.09
    25   4.2135  21579.74    -0.06    9164.91     0.12

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.

13RK158    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        44.509    44.551    44.467
ecceobj         0.125     0.126     0.125
incobj         34.321    34.322    34.321
qmin           38.137    38.208    37.970
qmax           51.505    51.484    51.594
amean          44.663    44.704    44.622
amin           44.293    44.341    44.248
amax           45.061    45.103    45.026
emean           0.127     0.127     0.128
emin            0.113     0.113     0.110
emax            0.143     0.142     0.147
imean          34.625    34.633    34.608
imin           34.403    34.423    34.308
imax           34.919    34.924    34.940
excite_mean     0.582     0.582     0.582
fracstop        1.000     1.000     1.000
cjmean          2.662     2.663     2.662

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       169.8     168.4     175.2
kozaiamp        180.0     179.9     180.0