Orbit Fit and Astrometric record for 13RD156

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: 13RD156   
# Created Mon Dec  6 02:11:50 2021
# Orbit generated from Bernstein formalism
# Fitting     13 observations of     13
# Arc:   4.13y
# First observation: 2013/09/05
#  Last observation: 2017/10/22
Preliminary a, adot, b, bdot, g, gdot:
   0.000161   0.019203   0.000030   0.009846   0.023342   0.000000
# Chi-squared of fit:     7.64 DOF:     20 RMS:  0.14
# Min/Max residuals:    -0.34    0.33
# Exact a, adot, b, bdot, g, gdot:
  1.319053E-05  1.936484E-02  5.287418E-06  9.942551E-03  2.276886E-02  1.301475E-03
# Covariance matrix:
  3.2745E-13 -2.5031E-13  1.6569E-14 -1.1649E-13  3.7105E-13 -3.1690E-12
 -2.5031E-13  4.4102E-12 -1.6634E-13  2.4974E-12  2.6419E-13  6.4708E-11
  1.6569E-14 -1.6634E-13  2.5604E-13 -1.5909E-13  4.0910E-14 -2.5106E-12
 -1.1649E-13  2.4974E-12 -1.5909E-13  1.4546E-12  9.8429E-14  3.6945E-11
  3.7105E-13  2.6419E-13  4.0910E-14  9.8429E-14  2.0758E-12  1.7386E-12
 -3.1690E-12  6.4708E-11 -2.5106E-12  3.6945E-11  1.7386E-12  9.5812E-10
#      lat0       lon0       xBary       yBary       zBary        JD0
   11.396507  -34.018098   -0.284135    0.191441   -0.949379  2456540.551488
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:           53.76048 +/-     0.308
Argument of Peri:      322.42250 +/-     0.437
Long of Asc Node:      305.72372 +/-     0.001
Inclination:            29.22762 +/-     0.001
Eccentricity:         0.07340065 +/-    0.0014
Semi-Major Axis:     46.72148187 +/-    0.0225
Time of Perihelion: 2439121.0672 +/-      98.9
Perihelion:          43.29209482 +/-    0.0687
Aphelion:            50.15086892 +/-    0.0697
Period (y)              319.3619 +/-      0.23
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           36.64723379 +/-    0.0023
Ecliptic Y          -24.38991531 +/-    0.0015
Ecliptic Z            8.67864444 +/-    0.0005
Ecliptic XDOT         0.00122787 +/-    0.0000
Ecliptic YDOT         0.00197525 +/-    0.0000
Ecliptic ZDOT         0.00120304 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   44.86877069 +/-    0.0020
Geocenter to KBO     43.91962480 +/-    0.0028
# Hcoef:  6.68

The following table shows the complete astrometric record for 13RD156. 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 (13RD156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  05.05071  21 37 35.295  -02 06 44.30  22.8g 13RD156   W84  C~52RL      
2013 09  11.16668  21 37 10.536  -02 08 53.37  23.6g 13RD156   W84  C~52RL      
2013 09  11.16805  21 37 10.525  -02 08 53.59  23.2r 13RD156   W84  C~52RL      
2013 09  11.17224  21 37 10.513  -02 08 53.82  23.2i 13RD156   W84  C~52RL      
2013 10  11.06026  21 35 36.420  -02 19 14.19  23.0z 13RD156   W84  C~52RL      
2013 10  12.01636  21 35 34.372  -02 19 32.25  22.9z 13RD156   W84  C~52RL      
2016 08  25.23225  21 48 34.992  +00 38 52.52  21.6z 13RD156   W84  C~52RL      
2017 09  27.07214  21 49 49.233  +01 20 20.31  23.6r 13RD156   W84  C~52RL      
2017 09  27.07351  21 49 49.238  +01 20 20.21  23.6z 13RD156   W84  C~52RL      
2017 10  21.03381  21 48 48.377  +01 11 15.92  23.8g 13RD156   W84  C~52RL      
2017 10  21.03519  21 48 48.364  +01 11 15.79  23.3r 13RD156   W84  C~52RL      
2017 10  22.03674  21 48 46.725  +01 10 55.41  24.3r 13RD156   W84  C~52RL      
2017 10  22.03812  21 48 46.690  +01 10 55.43  22.9i 13RD156   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     0.05       0.00     0.33
     2   0.0167   -392.93     0.02       0.59     0.12
     3   0.0167   -393.16    -0.12       0.44    -0.03
     4   0.0168   -393.41    -0.10       0.28    -0.19
     5   0.0986  -1929.47     0.02    -120.36    -0.05
     6   0.1012  -1964.40     0.13    -127.30    -0.20
     7   2.9711  12640.66     0.03    6119.37     0.04
     8   4.0603  14525.03    -0.02    8108.38    -0.00
     9   4.0603  14525.07     0.09    8108.26    -0.11
    10   4.1259  13477.96     0.16    7893.79    -0.04
    11   4.1259  13477.73    -0.03    7893.73    -0.08
    12   4.1286  13447.64     0.11    7882.53     0.00
    13   4.1286  13447.15    -0.34    7882.72     0.21

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.

13RD156    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        46.901    46.972    46.831
ecceobj         0.075     0.079     0.072
incobj         29.173    29.175    29.171
qmin           42.521    42.391    42.642
qmax           51.434    51.663    51.177
amean          46.859    46.930    46.790
amin           46.495    46.561    46.432
amax           47.249    47.319    47.176
emean           0.077     0.080     0.073
emin            0.066     0.069     0.063
emax            0.089     0.092     0.085
imean          30.645    30.646    30.643
imin           30.444    30.431    30.432
imax           30.884    30.874    30.865
excite_mean     0.516     0.516     0.515
fracstop        1.000     1.000     1.000
cjmean          2.783     2.783     2.783

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       168.3     167.8     168.1
kozaiamp        179.9     180.0     180.0