Orbit Fit and Astrometric record for 13RG156

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: 13RG156   
# Created Tue Nov 30 02:11:54 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting      9 observations of      9
# Arc:   5.02y
# First observation: 2013/09/08
#  Last observation: 2018/09/17
# Chi-squared of fit:     1.76 DOF:     12 RMS:  0.08
# Min/Max residuals:    -0.13    0.14
# Exact a, adot, b, bdot, g, gdot:
  1.282584E-05  1.869022E-02 -8.202899E-07 -1.377791E-03  2.221189E-02  6.643208E-04
# Covariance matrix:
  6.2407E-13 -2.9270E-14  2.2893E-15 -1.9744E-15  6.9371E-13  5.7721E-13
 -2.9270E-14  6.2680E-13  1.4550E-14 -4.2956E-14  1.0283E-12  7.2124E-12
  2.2893E-15  1.4550E-14  4.6449E-13 -1.2047E-13  2.5921E-14  1.8106E-13
 -1.9744E-15 -4.2956E-14 -1.2047E-13  5.0863E-14 -5.9027E-14 -5.5242E-13
  6.9371E-13  1.0283E-12  2.5921E-14 -5.9027E-14  3.7775E-12  1.0809E-11
  5.7721E-13  7.2124E-12  1.8106E-13 -5.5242E-13  1.0809E-11  9.1833E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    3.413368  -12.728334    0.033638    0.060091   -1.006075  2456543.672288
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:          167.59283 +/-     0.143
Argument of Peri:      330.37122 +/-     0.134
Long of Asc Node:      205.62380 +/-     0.004
Inclination:             5.36648 +/-     0.001
Eccentricity:         0.17386277 +/-    0.0002
Semi-Major Axis:     39.30822494 +/-    0.0089
Time of Perihelion: 2414638.4720 +/-      38.5
Perihelion:          32.47398803 +/-    0.0109
Aphelion:            46.14246185 +/-    0.0132
Period (y)              246.4526 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           44.81221128 +/-    0.0038
Ecliptic Y          -10.15364060 +/-    0.0009
Ecliptic Z            2.68047058 +/-    0.0002
Ecliptic XDOT         0.00059100 +/-    0.0000
Ecliptic YDOT         0.00222577 +/-    0.0000
Ecliptic ZDOT        -0.00016451 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   46.02622985 +/-    0.0037
Geocenter to KBO     45.02095392 +/-    0.0039
# Hcoef:  7.06

The following table shows the complete astrometric record for 13RG156. 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 (13RG156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  08.17151  23 07 50.924  -01 52 59.08  24.2g 13RG156   W84  C~52RL      
2013 09  30.11758  23 06 22.489  -02 02 54.57  23.9r 13RG156   W84  C~52RL      
2013 09  30.11904  23 06 22.480  -02 02 54.68  23.5i 13RG156   W84  C~52RL      
2016 09  26.13079  23 18 46.190  -00 59 41.77  23.6i 13RG156   W84  C~52RL      
2016 09  30.12158  23 18 30.507  -01 01 30.87  22.2z 13RG156   W84  C~52RL      
2016 10  05.14581  23 18 11.366  -01 03 45.51  23.3r 13RG156   W84  C~52RL      
2017 11  08.06551  23 20 33.761  -00 56 00.87  24.1r 13RG156   W84  C~52RL      
2017 11  09.04060  23 20 31.896  -00 56 17.61  24.3r 13RG156   W84  C~52RL      
2018 09  17.27717  23 27 29.439  -00 14 20.42  23.2i 13RG156   W84  C~52RL      

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     0.10       0.00     0.01
     2   0.0601      0.00    -0.02       0.00     0.04
     3   0.0601      0.00    -0.07       0.00    -0.04
     4   3.0499      0.00    -0.03       0.00     0.07
     5   3.0608      0.00     0.07       0.00    -0.13
     6   3.0745      0.00    -0.10       0.00     0.07
     7   4.1667      0.00    -0.03       0.00     0.07
     8   4.1694      0.00     0.14       0.00    -0.12
     9   5.0242      0.00    -0.03       0.00     0.04

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.

13RG156    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.469    39.469    39.469
ecceobj         0.169     0.169     0.169
incobj          5.357     5.357     5.357
qmin           31.681    31.681    31.681
qmax           47.633    47.634    47.633
amean          39.456    39.456    39.456
amin           39.087    39.087    39.087
amax           39.874    39.875    39.874
emean           0.177     0.177     0.177
emin            0.160     0.160     0.160
emax            0.195     0.195     0.195
imean           6.147     6.147     6.147
imin            5.588     5.588     5.588
imax            6.780     6.780     6.780
excite_mean     0.207     0.207     0.207
fracstop        1.000     1.000     1.000
cjmean          3.003     3.003     3.003

libcent 0       180.0     180.0     180.1
libamp  0        45.2      45.1      45.3
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       183.0     183.0     183.0
kozaiamp        180.0     180.0     180.0