Orbit Fit and Astrometric record for 13RZ156

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: 13RZ156   
# Created Tue Dec  7 02:11:57 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     11 observations of     11
# Arc:   5.08y
# First observation: 2013/09/10
#  Last observation: 2018/10/10
# Chi-squared of fit:     1.78 DOF:     16 RMS:  0.07
# Min/Max residuals:    -0.17    0.11
# Exact a, adot, b, bdot, g, gdot:
  1.382738E-05  2.272948E-02  6.320746E-06  1.007305E-02  2.514799E-02  1.669696E-03
# Covariance matrix:
  5.2806E-13 -3.1427E-13  3.4037E-14 -1.0044E-13  3.5334E-13 -2.1001E-12
 -3.1427E-13  6.4765E-13 -9.6847E-14  2.8376E-13 -7.8302E-14  5.9693E-12
  3.4037E-14 -9.6847E-14  3.3066E-13 -1.2354E-13  3.9761E-15 -9.4712E-13
 -1.0044E-13  2.8376E-13 -1.2354E-13  1.6584E-13 -1.3540E-14  2.7739E-12
  3.5334E-13 -7.8302E-14  3.9761E-15 -1.3540E-14  8.6507E-13 -2.5075E-13
 -2.1001E-12  5.9693E-12 -9.4712E-13  2.7739E-12 -2.5075E-13  5.8374E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
  -12.278355   11.661940    0.413750   -0.195329   -0.897946  2456545.794948
# Heliocentric elements and errors
Epoch:              2456546.5000  =  2013/09/11
Mean Anomaly:           76.14293 +/-     0.114
Argument of Peri:      249.40122 +/-     0.118
Long of Asc Node:       36.39355 +/-     0.000
Inclination:            26.42884 +/-     0.000
Eccentricity:         0.05846443 +/-    0.0003
Semi-Major Axis:     41.10600451 +/-    0.0079
Time of Perihelion: 2436186.2365 +/-      31.0
Perihelion:          38.70276529 +/-    0.0151
Aphelion:            43.50924373 +/-    0.0156
Period (y)              263.5519 +/-      0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.03622278 +/-    0.0014
Ecliptic Y            7.63759520 +/-    0.0003
Ecliptic Z           -8.45616806 +/-    0.0003
Ecliptic XDOT        -0.00010402 +/-    0.0000
Ecliptic YDOT         0.00250535 +/-    0.0000
Ecliptic ZDOT         0.00103305 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.66526068 +/-    0.0014
Geocenter to KBO     39.76460733 +/-    0.0015
# Hcoef:  7.70

The following table shows the complete astrometric record for 13RZ156. 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 (13RZ156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  10.29417  01 02 05.594  -06 41 34.24  23.9r 13RZ156   W84  C~52RN      
2013 10  04.22289  01 00 15.267  -06 52 23.41  23.9r 13RZ156   W84  C~52RN      
2013 10  13.18678  00 59 31.369  -06 55 50.57  23.0z 13RZ156   W84  C~52RN      
2013 10  13.19707  00 59 31.327  -06 55 50.98  23.1i 13RZ156   W84  C~52RN      
2014 11  17.16716  01 00 51.453  -06 01 17.29  23.9r 13RZ156   W84  C~52RN      
2016 08  25.41368  01 14 37.527  -03 28 02.48  23.2i 13RZ156   W84  C~52RN      
2016 08  26.37112  01 14 34.561  -03 28 26.31  24.2r 13RZ156   W84  C~52RN      
2017 08  28.29776  01 18 17.432  -02 27 20.04  23.6r 13RZ156   W84  C~52RN      
2017 08  28.34592  01 18 17.275  -02 27 21.19  24.0i 13RZ156   W84  C~52RN      
2018 10  10.28295  01 19 05.228  -01 43 25.87  23.8r 13RZ156   W84  C~52RN      
2018 10  10.28431  01 19 05.218  -01 43 25.82  23.6i 13RZ156   W84  C~52RN      

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     0.09       0.00     0.04
     2   0.0655      0.00    -0.04       0.00    -0.03
     3   0.0901      0.00    -0.08       0.00     0.06
     4   0.0901      0.00     0.06       0.00    -0.13
     5   1.1851      0.00    -0.01       0.00     0.10
     6   2.9572      0.00     0.03       0.00     0.11
     7   2.9598      0.00    -0.07       0.00    -0.17
     8   3.9644      0.00     0.01       0.00     0.03
     9   3.9645      0.00     0.00       0.00     0.04
    10   5.0814      0.00     0.05       0.00    -0.06
    11   5.0814      0.00     0.00       0.00     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.

13RZ156    quality flag:3

Type:       SCATEXTD  SCATEXTD  SCATEXTD

axisobj        41.316    41.317    41.316
ecceobj         0.062     0.062     0.062
incobj         26.391    26.391    26.391
qmin           38.100    37.999    38.033
qmax           44.563    44.586    44.466
amean          41.168    41.208    41.185
amin           40.828    40.852    40.834
amax           41.555    41.565    41.561
emean           0.047     0.053     0.050
emin            0.029     0.037     0.030
emax            0.073     0.074     0.072
imean          25.733    25.734    25.737
imin           25.351    25.375    25.348
imax           26.124    26.115    26.126
excite_mean     0.437     0.437     0.437
fracstop        1.000     1.000     1.000
cjmean          2.836     2.836     2.836

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       180.4     181.9     181.0
kozaiamp        180.0     180.0     180.0