Orbit Fit and Astrometric record for 13RB156

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: 13RB156   
# Created Tue Dec  7 02:11:56 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting      9 observations of      9
# Arc:   5.18y
# First observation: 2013/09/03
#  Last observation: 2018/11/07
# Chi-squared of fit:     7.68 DOF:     12 RMS:  0.16
# Min/Max residuals:    -0.34    0.28
# Exact a, adot, b, bdot, g, gdot:
  1.388122E-05  2.343723E-02 -4.398085E-06 -6.449501E-03  2.517057E-02 -3.027961E-03
# Covariance matrix:
  4.9856E-13 -2.8743E-13 -1.7435E-14 -1.5561E-14  6.3467E-13 -2.0285E-12
 -2.8743E-13  5.8908E-13  1.8939E-14 -1.2956E-13  4.2296E-13  5.0091E-12
 -1.7435E-14  1.8939E-14  3.7998E-13 -9.1353E-14 -1.3737E-13  2.3077E-13
 -1.5561E-14 -1.2956E-13 -9.1353E-14  1.4182E-13 -9.4875E-13 -8.7942E-13
  6.3467E-13  4.2296E-13 -1.3737E-13 -9.4875E-13  1.1275E-11 -1.5702E-13
 -2.0285E-12  5.0091E-12  2.3077E-13 -8.7942E-13 -1.5702E-13  4.7640E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -37.145731  -69.650477   -0.775121   -0.390801   -0.515999  2456538.642798
# Heliocentric elements and errors
Epoch:              2456538.5000  =  2013/09/03
Mean Anomaly:          256.69409 +/-     0.236
Argument of Peri:        6.95183 +/-     0.176
Long of Asc Node:       45.19933 +/-     0.001
Inclination:            38.97939 +/-     0.000
Eccentricity:         0.11482757 +/-    0.0003
Semi-Major Axis:     38.76592388 +/-    0.0189
Time of Perihelion: 2481837.0891 +/-      73.7
Perihelion:          34.31452720 +/-    0.0201
Aphelion:            43.21732055 +/-    0.0238
Period (y)              241.3701 +/-      0.18
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           11.96450009 +/-    0.0015
Ecliptic Y          -30.02615114 +/-    0.0040
Ecliptic Z          -23.99022977 +/-    0.0032
Ecliptic XDOT         0.00214542 +/-    0.0000
Ecliptic YDOT         0.00152873 +/-    0.0000
Ecliptic ZDOT        -0.00036017 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.25239671 +/-    0.0035
Geocenter to KBO     39.72905045 +/-    0.0053
# Hcoef:  7.55

The following table shows the complete astrometric record for 13RB156. 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 (13RB156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  03.14202  20 07 33.711  -58 21 10.78  23.8r 13RB156   W84  C~52RL      
2013 09  06.13056  20 07 14.940  -58 19 50.84  23.4i 13RB156   W84  C~52RL      
2013 09  23.00443  20 05 53.504  -58 10 06.57  23.4r 13RB156   W84  C~52RL      
2014 09  12.01746  20 17 17.248  -58 15 48.52  23.7r 13RB156   W84  C~52RL      
2015 09  10.99082  20 28 01.374  -58 11 53.30  23.4r 13RB156   W84  C~52RL      
2016 09  23.02852  20 37 27.542  -57 57 08.90  23.8r 13RB156   W84  C~52RL      
2017 09  26.03102  20 47 46.167  -57 44 30.90  23.4i 13RB156   W84  C~52RL      
2017 10  10.07367  20 46 57.984  -57 34 20.53  23.8r 13RB156   W84  C~52RL      
2018 11  07.08203  20 57 14.436  -56 54 53.58  23.3r 13RB156   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     0.28       0.00     0.11
     2   0.0082      0.00     0.14       0.00     0.17
     3   0.0544      0.00    -0.32       0.00    -0.34
     4   1.0236      0.00    -0.15       0.00    -0.00
     5   2.0201      0.00     0.02       0.00     0.06
     6   3.0551      0.00     0.14       0.00     0.13
     7   4.0627      0.00    -0.05       0.00    -0.16
     8   4.1011      0.00     0.01       0.00     0.01
     9   5.1771      0.00    -0.02       0.00     0.01

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.

13RB156    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        38.850    38.850    38.851
ecceobj         0.116     0.116     0.116
incobj         39.036    39.036    39.036
qmin           33.878    33.884    33.821
qmax           44.310    44.285    44.364
amean          38.956    38.951    38.952
amin           38.628    38.641    38.636
amax           39.309    39.304    39.292
emean           0.116     0.113     0.115
emin            0.103     0.099     0.101
emax            0.128     0.128     0.129
imean          38.084    38.104    38.091
imin           37.787    37.780    37.781
imax           38.414    38.429    38.396
excite_mean     0.628     0.627     0.627
fracstop        1.000     1.000     1.000
cjmean          2.551     2.551     2.551

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       164.6     164.3     163.7
kozaiamp        179.9     179.9     180.0