Orbit Fit and Astrometric record for 13RR156

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: 13RR156   
# Created Tue Nov 30 02:11:54 2021
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     20 observations of     20
# Arc:   8.16y
# First observation: 2013/09/09
#  Last observation: 2021/11/05
# Chi-squared of fit:    10.38 DOF:     34 RMS:  0.13
# Min/Max residuals:    -0.40    0.26
# Exact a, adot, b, bdot, g, gdot:
  1.332859E-05  1.694634E-02  7.442189E-06  9.580925E-03  2.020691E-02  1.833729E-03
# Covariance matrix:
  5.0142E-13  5.7908E-15 -7.5600E-16  7.8800E-15  5.0021E-13  8.7670E-14
  5.7908E-15  8.3099E-14 -2.6716E-14  4.6492E-14  9.6970E-14  6.2002E-13
 -7.5600E-16 -2.6716E-14  1.2998E-13 -3.7925E-14 -2.4064E-14 -2.2843E-13
  7.8800E-15  4.6492E-14 -3.7925E-14  3.9124E-14  5.0091E-14  3.9510E-13
  5.0021E-13  9.6970E-14 -2.4064E-14  5.0091E-14  7.0982E-13  6.4623E-13
  8.7670E-14  6.2002E-13 -2.2843E-13  3.9510E-13  6.4623E-13  5.2755E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
    1.192658    2.552013    0.281456    0.020235   -0.967835  2456544.682058
# Heliocentric elements and errors
Epoch:              2456544.5000  =  2013/09/09
Mean Anomaly:           18.57351 +/-     0.023
Argument of Peri:      333.48899 +/-     0.037
Long of Asc Node:        0.16794 +/-     0.000
Inclination:            29.51235 +/-     0.000
Eccentricity:         0.21329695 +/-    0.0001
Semi-Major Axis:     62.73368728 +/-    0.0132
Time of Perihelion: 2447180.9357 +/-      11.8
Perihelion:          49.35278293 +/-    0.0135
Aphelion:            76.11459163 +/-    0.0182
Period (y)              496.8890 +/-      0.16
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           50.40753622 +/-    0.0021
Ecliptic Y            1.96809874 +/-    0.0001
Ecliptic Z            1.03041869 +/-    0.0000
Ecliptic XDOT         0.00011274 +/-    0.0000
Ecliptic YDOT         0.00230250 +/-    0.0000
Ecliptic ZDOT         0.00130316 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   50.45639994 +/-    0.0021
Geocenter to KBO     49.48799452 +/-    0.0021
# Hcoef:  6.15

The following table shows the complete astrometric record for 13RR156. 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 (13RR156) followed by the observatory code and reference code for the source of the astrometry.

2013 09  09.18128  00 07 28.167  +02 06 33.18  23.2g 13RR156   W84  C~52RN      
2013 10  13.05519  00 05 17.084  +01 55 39.54  22.4z 13RR156   W84  C~52RN      
2013 10  13.09058  00 05 16.962  +01 55 38.95  23.0z 13RR156   W84  C~52RN      
2013 10  13.10784  00 05 16.890  +01 55 38.58  23.1i 13RR156   W84  C~52RN      
2013 10  13.11626  00 05 16.871  +01 55 38.52  22.8i 13RR156   W84  C~52RN      
2013 10  28.06092  00 04 24.935  +01 51 17.81  23.2r 13RR156   W84  C~52RN      
2013 10  28.06231  00 04 24.933  +01 51 17.72  22.7i 13RR156   W84  C~52RN      
2013 11  22.12208  00 03 21.112  +01 46 18.55  22.3z 13RR156   W84  C~52RN      
2013 11  23.08993  00 03 19.424  +01 46 11.61  23.7r 13RR156   W84  C~52RN      
2013 11  23.09132  00 03 19.428  +01 46 11.67  23.4i 13RR156   W84  C~52RN      
2014 11  13.03961  00 06 20.915  +02 40 42.84  23.6g 13RR156   W84  C~52RN      
2014 11  14.04307  00 06 18.518  +02 40 31.26  24.1r 13RR156   W84  C~52RN      
2016 09  11.22732  00 15 21.397  +04 44 55.48  23.0i 13RR156   W84  C~52RN      
2016 11  29.06714  00 11 06.862  +04 23 08.30  23.9g 13RR156   W84  C~52RN      
2016 12  05.06053  00 10 59.453  +04 22 33.43  22.9z 13RR156   W84  C~52RN      
2016 12  05.06192  00 10 59.442  +04 22 33.32  22.7i 13RR156   W84  C~52RN      
2016 12  05.07978  00 10 59.428  +04 22 33.39  23.0r 13RR156   W84  C~52RN      
2021 11  05.111480 00 25 19.605  +08 47 42.16  23.3G 13RR156   G37  C~5BQf      
2021 11  05.161080 00 25 19.451  +08 47 41.20        13RR156   G37  C~5BQf      
2021 11  05.209830 00 25 19.293  +08 47 40.28        13RR156   G37  C~5BQf      

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    -0.02       0.00     0.00
     2   0.0927      0.00    -0.11       0.00    -0.08
     3   0.0928      0.00     0.06       0.00    -0.01
     4   0.0929      0.00    -0.04       0.00    -0.06
     5   0.0929      0.00     0.15       0.00     0.04
     6   0.1338      0.00     0.08       0.00     0.14
     7   0.1338      0.00     0.12       0.00     0.07
     8   0.2024      0.00    -0.33       0.00    -0.01
     9   0.2051      0.00    -0.07       0.00    -0.04
    10   0.2051      0.00     0.02       0.00     0.03
    11   1.1769      0.00     0.02       0.00    -0.07
    12   1.1796      0.00     0.17       0.00     0.02
    13   3.0063      0.00     0.04       0.00    -0.21
    14   3.2221      0.00    -0.18       0.00    -0.40
    15   3.2385      0.00     0.12       0.00     0.22
    16   3.2386      0.00    -0.02       0.00     0.11
    17   3.2386      0.00     0.06       0.00     0.26
    18   8.1559      0.00    -0.01       0.00     0.04
    19   8.1560      0.00     0.02       0.00    -0.01
    20   8.1561      0.00    -0.04       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.

13RR156    quality flag:3

Type:       SCATNEAR  SCATNEAR  SCATNEAR

axisobj        63.197    63.197    63.197
ecceobj         0.219     0.219     0.219
incobj         29.423    29.423    29.423
qmin           47.694    47.694    47.696
qmax           78.610    78.625    78.591
amean          62.779    62.779    62.779
amin           62.142    62.174    62.132
amax           63.519    63.522    63.528
emean           0.219     0.219     0.219
emin            0.201     0.201     0.201
emax            0.238     0.238     0.238
imean          29.861    29.861    29.861
imin           29.522    29.522    29.522
imax           30.249    30.249    30.249
excite_mean     0.544     0.544     0.544
fracstop        1.000     1.000     1.000
cjmean          2.923     2.923     2.923

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       149.5     149.5     149.5
kozaiamp        180.0     180.0     180.0