Orbit Fit and Astrometric record for 13RB158

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: 13RB158   
# Created Sat Nov 27 02:12:00 2021
# Orbit generated from Bernstein formalism
# Fitting     13 observations of     13
# Arc:   4.11y
# First observation: 2013/09/11
#  Last observation: 2017/10/22
Preliminary a, adot, b, bdot, g, gdot:
  -0.000012   0.029786  -0.000059   0.011048   0.027914   0.000000
# Chi-squared of fit:     4.72 DOF:     20 RMS:  0.11
# Min/Max residuals:    -0.19    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.686989E-05  2.969159E-02  6.962020E-06  1.100102E-02  2.785653E-02  3.795237E-05
# Covariance matrix:
  6.7352E-13 -2.3489E-13  1.4935E-14 -3.6686E-14  4.9696E-13 -7.8273E-13
 -2.3489E-13  8.3085E-13 -1.4061E-13  3.2022E-13  4.9441E-13  6.7535E-12
  1.4935E-14 -1.4061E-13  3.6073E-13 -1.5406E-13 -1.0622E-13 -1.2159E-12
 -3.6686E-14  3.2022E-13 -1.5406E-13  1.7292E-13  2.3694E-13  2.7657E-12
  4.9696E-13  4.9441E-13 -1.0622E-13  2.3694E-13  1.3955E-12  4.9802E-12
 -7.8273E-13  6.7535E-12 -1.2159E-12  2.7657E-12  4.9802E-12  5.8316E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -1.268224   -0.712544    0.190125   -0.021798   -0.989144  2456546.810818
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:          358.83195 +/-     0.052
Argument of Peri:      358.23731 +/-     0.081
Long of Asc Node:        2.32263 +/-     0.000
Inclination:            20.36804 +/-     0.000
Eccentricity:         0.20646069 +/-    0.0001
Semi-Major Axis:     46.48094137 +/-    0.0096
Time of Perihelion: 2456916.0521 +/-      16.7
Perihelion:          36.88445398 +/-    0.0099
Aphelion:            56.07742875 +/-    0.0132
Period (y)              316.8988 +/-      0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.87330965 +/-    0.0015
Ecliptic Y           -0.64565791 +/-    0.0000
Ecliptic Z           -0.79430435 +/-    0.0000
Ecliptic XDOT         0.00005777 +/-    0.0000
Ecliptic YDOT         0.00291647 +/-    0.0000
Ecliptic ZDOT         0.00108101 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   36.88751494 +/-    0.0015
Geocenter to KBO     35.89822129 +/-    0.0015
# Hcoef:  8.02

The following table shows the complete astrometric record for 13RB158. 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 (13RB158) followed by the observatory code and reference code for the source of the astrometry.

2013 09  11.31004  23 59 24.195  -01 26 49.16  24.4g 13RB158   W84  C~52RP      
2013 09  29.22531  23 57 52.197  -01 34 46.49  23.1r 13RB158   W84  C~52RP      
2013 11  08.16252  23 54 56.871  -01 48 35.40  23.7i 13RB158   W84  C~52RP      
2014 10  21.20719  00 01 20.093  -00 28 25.45  23.1i 13RB158   W84  C~52RP      
2014 10  28.18397  00 00 50.070  -00 30 49.61  23.8r 13RB158   W84  C~52RP      
2014 11  15.10012  23 59 47.896  -00 35 20.93  22.7z 13RB158   W84  C~52RP      
2016 09  11.20101  00 15 04.607  +02 18 46.14  23.5i 13RB158   W84  C~52RP      
2016 09  22.12035  00 14 09.194  +02 14 02.59  24.0r 13RB158   W84  C~52RP      
2017 08  22.31219  00 21 48.825  +03 40 52.29  23.8r 13RB158   W84  C~52RP      
2017 09  27.17317  00 18 58.311  +03 26 58.01  23.4r 13RB158   W84  C~52RP      
2017 09  27.19103  00 18 58.215  +03 26 57.66  23.3i 13RB158   W84  C~52RP      
2017 09  27.19240  00 18 58.194  +03 26 57.49  24.2g 13RB158   W84  C~52RP      
2017 10  22.17470  00 16 53.031  +03 16 03.96  23.8r 13RB158   W84  C~52RP      

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    -0.00       0.00    -0.15
     2   0.0490  -1455.55     0.12     110.81     0.07
     3   0.1584  -4197.72    -0.05     395.31     0.03
     4   1.1085   2989.30     0.14    2522.92    -0.00
     5   1.1276   2518.68    -0.08    2569.86     0.05
     6   1.1767   1555.00    -0.13    2692.02    -0.03
     7   3.0004  18380.06     0.13    6824.85     0.21
     8   3.0303  17498.24    -0.19    6893.82    -0.06
     9   3.9452  25990.20    -0.13    8975.02     0.08
    10   4.0434  23275.72     0.09    9215.91    -0.15
    11   4.0435  23274.25     0.12    9216.16    -0.02
    12   4.0435  23273.88    -0.13    9216.12    -0.06
    13   4.1119  21269.44     0.11    9355.87     0.03

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.

13RB158    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        46.761    46.790    46.733
ecceobj         0.212     0.212     0.211
incobj         20.316    20.316    20.317
qmin           35.694    35.702    35.681
qmax           57.703    57.783    57.749
amean          46.452    46.504    46.465
amin           46.028    46.104    46.051
amax           46.947    46.999    46.959
emean           0.213     0.213     0.213
emin            0.197     0.197     0.198
emax            0.230     0.230     0.230
imean          20.376    20.405    20.403
imin           19.910    19.989    19.956
imax           20.922    20.957    20.934
excite_mean     0.408     0.409     0.408
fracstop        1.000     1.000     1.000
cjmean          2.923     2.923     2.923

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       168.9     170.1     172.5
kozaiamp        180.0     180.0     180.0