Orbit Fit and Astrometric record for 13RA156

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: 13RA156   
# Created Tue Nov 30 02:11:53 2021
# Orbit generated from Bernstein formalism
# Fitting     15 observations of     15
# Arc:   3.18y
# First observation: 2013/09/02
#  Last observation: 2016/11/06
Preliminary a, adot, b, bdot, g, gdot:
  -0.000140   0.031129  -0.000013   0.006751   0.030486   0.000000
# Chi-squared of fit:     2.72 DOF:     24 RMS:  0.08
# Min/Max residuals:    -0.19    0.12
# Exact a, adot, b, bdot, g, gdot:
  1.612573E-05  3.103218E-02  3.582679E-06  6.733404E-03  3.055918E-02  6.776009E-04
# Covariance matrix:
  7.1933E-13  2.5129E-13 -2.2366E-14  9.4641E-14  7.6474E-13  4.4920E-12
  2.5129E-13  1.0182E-12 -6.3710E-14  2.4793E-13  1.1217E-12  1.1710E-11
 -2.2366E-14 -6.3710E-14  3.4310E-13 -1.4168E-13 -7.1095E-14 -7.8411E-13
  9.4641E-14  2.4793E-13 -1.4168E-13  1.2931E-13  2.8722E-13  3.0471E-12
  7.6474E-13  1.1217E-12 -7.1095E-14  2.8722E-13  1.7666E-12  1.3596E-11
  4.4920E-12  1.1710E-11 -7.8411E-13  3.0471E-12  1.3596E-11  1.4391E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   -4.996410   15.401053    0.588988   -0.071371   -0.817428  2456537.860308
# Heliocentric elements and errors
Epoch:              2456530.5000  =  2013/08/26
Mean Anomaly:          178.05733 +/-     0.242
Argument of Peri:      159.55251 +/-     0.241
Long of Asc Node:       35.94390 +/-     0.001
Inclination:            13.06968 +/-     0.000
Eccentricity:         0.08184891 +/-    0.0001
Semi-Major Axis:     31.00952382 +/-    0.0032
Time of Perihelion: 2488407.1830 +/-      42.1
Perihelion:          28.47142812 +/-    0.0037
Aphelion:            33.54761952 +/-    0.0041
Period (y)              172.6835 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.37554831 +/-    0.0014
Ecliptic Y            8.31051942 +/-    0.0004
Ecliptic Z           -2.84988823 +/-    0.0001
Ecliptic XDOT        -0.00063558 +/-    0.0000
Ecliptic YDOT         0.00270931 +/-    0.0000
Ecliptic ZDOT         0.00059582 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.54642640 +/-    0.0013
Geocenter to KBO     32.72338798 +/-    0.0014
# Hcoef:  7.85

The following table shows the complete astrometric record for 13RA156. 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 (13RA156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  02.35953  01 04 26.168  +01 27 05.50  24.2g 13RA156   W84  C~52RL      
2013 10  03.12129  01 01 47.746  +01 11 00.90  23.2g 13RA156   W84  C~52RL      
2013 10  13.20726  01 00 50.005  +01 05 43.64  22.9i 13RA156   W84  C~52RL      
2013 11  08.19267  00 58 30.119  +00 54 20.77  22.9i 13RA156   W84  C~52RL      
2014 11  18.15582  01 03 44.046  +01 53 35.48  22.6z 13RA156   W84  C~52RL      
2015 11  07.11042  01 10 35.722  +02 59 32.23  22.9r 13RA156   W84  C~52RL      
2015 11  07.11179  01 10 35.725  +02 59 32.11  22.7i 13RA156   W84  C~52RL      
2015 11  07.11317  01 10 35.717  +02 59 32.22  23.7g 13RA156   W84  C~52RL      
2015 11  20.13788  01 09 34.263  +02 55 10.31  22.8z 13RA156   W84  C~52RL      
2016 08  26.33786  01 22 47.647  +04 35 45.33  22.8i 13RA156   W84  C~52RL      
2016 08  26.33924  01 22 47.651  +04 35 45.31  22.9r 13RA156   W84  C~52RL      
2016 10  23.21972  01 17 52.966  +04 07 58.80  23.9g 13RA156   W84  C~52RL      
2016 10  29.16012  01 17 19.531  +04 05 12.60  22.9r 13RA156   W84  C~52RL      
2016 10  29.16150  01 17 19.531  +04 05 12.61  22.8i 13RA156   W84  C~52RL      
2016 11  06.13866  01 16 36.486  +04 01 47.39  23.0z 13RA156   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    -0.01       0.00    -0.02
     2   0.0842  -2564.11     0.06      20.91    -0.03
     3   0.1118  -3485.69    -0.08      60.40     0.11
     4   0.1830  -5686.14     0.08     235.63    -0.09
     5   1.2096     26.78    -0.13    1710.65     0.04
     6   2.1786   7245.12    -0.06    3002.31     0.05
     7   2.1787   7245.12     0.05    3002.18    -0.09
     8   2.1787   7245.05     0.09    3002.32     0.04
     9   2.2143   6293.22     0.05    3112.56    -0.02
    10   2.9815  19631.77    -0.06    4172.52     0.09
    11   2.9815  19631.82     0.07    4172.48     0.05
    12   3.1399  14887.72    -0.08    4304.09    -0.19
    13   3.1562  14359.16    -0.00    4340.76    -0.00
    14   3.1562  14359.16     0.12    4340.77    -0.00
    15   3.1780  13682.28    -0.08    4396.21     0.06

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.

13RA156    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        31.126    31.135    31.118
ecceobj         0.078     0.078     0.078
incobj         13.050    13.050    13.050
qmin           23.388    23.864    24.539
qmax           38.472    38.000    39.764
amean          31.031    30.532    31.377
amin           29.481    29.434    30.306
amax           32.109    31.171    34.351
emean           0.172     0.160     0.156
emin            0.068     0.078     0.078
emax            0.228     0.224     0.205
imean           9.189    10.368    10.875
imin            4.151     6.458     7.854
imax           13.844    12.896    14.051
excite_mean     0.244     0.245     0.248
fracstop        0.096     0.102     0.246
cjmean          2.940     2.940     2.939

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       176.9     147.0     179.0
kozaiamp         93.1     179.2      49.2