Orbit Fit and Astrometric record for 13TO187

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: 13TO187   
# Created Fri Dec  3 02:12:05 2021
# Orbit generated from Bernstein formalism
# Fitting     38 observations of     38
# Arc:   3.08y
# First observation: 2013/09/29
#  Last observation: 2016/10/28
Preliminary a, adot, b, bdot, g, gdot:
  -0.000091   0.037548  -0.000022   0.003084   0.031871   0.000000
# Chi-squared of fit:     8.21 DOF:     70 RMS:  0.08
# Min/Max residuals:    -0.16    0.26
# Exact a, adot, b, bdot, g, gdot:
  1.930914E-05  3.715814E-02  8.395796E-07  3.058786E-03  3.149013E-02 -3.030582E-03
# Covariance matrix:
  2.1578E-13 -1.3485E-13  2.7607E-15 -6.4129E-15  4.8800E-14 -5.9132E-13
 -1.3485E-13  4.6863E-13 -1.8870E-14  3.8902E-14  3.9239E-13  3.8739E-12
  2.7607E-15 -1.8870E-14  1.5142E-13 -6.3818E-14 -1.7911E-14 -1.6875E-13
 -6.4129E-15  3.8902E-14 -6.3818E-14  3.7826E-14  3.5367E-14  3.4712E-13
  4.8800E-14  3.9239E-13 -1.7911E-14  3.5367E-14  6.0187E-13  3.6240E-12
 -5.9132E-13  3.8739E-12 -1.6875E-13  3.4712E-13  3.6240E-12  3.4618E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -8.138265   23.538255    0.301749   -0.135132   -0.945759  2456564.831848
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:          337.21682 +/-     0.027
Argument of Peri:      333.89149 +/-     0.043
Long of Asc Node:       82.44102 +/-     0.001
Inclination:             9.15603 +/-     0.000
Eccentricity:         0.19264890 +/-    0.0001
Semi-Major Axis:     39.41176838 +/-    0.0047
Time of Perihelion: 2462279.8835 +/-       6.8
Perihelion:          31.81913456 +/-    0.0064
Aphelion:            47.00440221 +/-    0.0076
Period (y)              247.4270 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           29.81621757 +/-    0.0007
Ecliptic Y           12.66229759 +/-    0.0003
Ecliptic Z           -4.49546001 +/-    0.0001
Ecliptic XDOT        -0.00150098 +/-    0.0000
Ecliptic YDOT         0.00287138 +/-    0.0000
Ecliptic ZDOT         0.00030070 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   32.70397179 +/-    0.0007
Geocenter to KBO     31.75598498 +/-    0.0008
# Hcoef:  8.05

The following table shows the complete astrometric record for 13TO187. 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 (13TO187) followed by the observatory code and reference code for the source of the astrometry.

2013 09  29.33107  01 39 07.943  +01 34 07.42  23.5g 13TO187   W84  C~4yRD      
2013 10  03.24395  01 38 47.011  +01 31 54.76  23.8g 13TO187   W84  C~4yRD      
2013 10  03.24395  01 38 47.01   +01 31 54.8   24.1g 13TO187   W84  C~3clQ      
2013 11  04.06065  01 35 48.05   +01 15 51.1   23.3r 13TO187   W84  C~3clQ      
2013 11  04.12406  01 35 47.70   +01 15 49.5         13TO187   W84  C~3clQ      
2013 11  04.20651  01 35 47.24   +01 15 47.5         13TO187   W84  C~3clQ      
2014 10  21.27213  01 44 49.369  +02 18 52.13  23.1r 13TO187   W84  C~4yRD      
2014 10  21.27213  01 44 49.37   +02 18 52.1   23.3r 13TO187   W84  C~3clQ      
2014 10  21.27352  01 44 49.351  +02 18 51.96  23.6g 13TO187   W84  C~4yRD      
2014 10  21.27352  01 44 49.35   +02 18 52.0   23.7g 13TO187   W84  C~3clQ      
2014 10  21.27489  01 44 49.348  +02 18 52.01  22.9i 13TO187   W84  C~4yRD      
2014 10  21.27489  01 44 49.35   +02 18 52.0   23.0i 13TO187   W84  C~3clQ      
2014 10  28.22157  01 44 09.448  +02 15 28.25  23.3r 13TO187   W84  C~4yRD      
2014 10  28.22157  01 44 09.45   +02 15 28.3   23.2r 13TO187   W84  C~3clQ      
2014 10  28.22734  01 44 09.410  +02 15 27.95  23.7g 13TO187   W84  C~4yRD      
2014 12  13.11163  01 40 37.429  +02 03 13.06  22.7z 13TO187   W84  C~4yRD      
2015 09  04.32293  01 56 25.060  +03 40 15.61  22.7z 13TO187   W84  C~4yRD      
2015 11  06.17683  01 51 05.148  +03 08 16.34  23.1r 13TO187   W84  C~4yRD      
2015 11  06.17683  01 51 05.15   +03 08 16.3   23.2r 13TO187   W84  C~3clQ      
2015 11  06.17819  01 51 05.144  +03 08 16.46  23.0i 13TO187   W84  C~4yRD      
2015 11  06.17819  01 51 05.14   +03 08 16.5   23.1i 13TO187   W84  C~3clQ      
2015 11  06.17955  01 51 05.125  +03 08 16.59  23.9g 13TO187   W84  C~4yRD      
2015 11  06.17955  01 51 05.12   +03 08 16.6   23.9g 13TO187   W84  C~3clQ      
2015 12  18.11041  01 48 02.263  +02 59 09.17  22.7z 13TO187   W84  C~4yRD      
2015 12  18.11179  01 48 02.276  +02 59 09.24  23.3i 13TO187   W84  C~4yRD      
2015 12  18.11179  01 48 02.28   +02 59 09.2   23.3i 13TO187   W84  C~3clQ      
2016 09  09.29496  02 03 51.147  +04 33 47.86  23.1r 13TO187   W84  C~4yRD      
2016 09  09.29496  02 03 51.15   +04 33 47.9   23.2r 13TO187   W84  C~3clQ      
2016 09  09.29635  02 03 51.145  +04 33 47.77  22.8i 13TO187   W84  C~4yRD      
2016 09  09.29635  02 03 51.14   +04 33 47.8   22.8i 13TO187   W84  C~3clQ      
2016 09  09.29774  02 03 51.137  +04 33 47.84  23.0g 13TO187   W84  C~4yRD      
2016 09  09.29774  02 03 51.13   +04 33 47.8   23.3g 13TO187   W84  C~3clQ      
2016 10  23.20859  02 00 09.874  +04 11 07.91  22.6r 13TO187   W84  C~4yRD      
2016 10  23.20859  02 00 09.88   +04 11 07.8   22.9r 13TO187   W84  C~3clQ      
2016 10  28.23573  01 59 40.525  +04 08 41.75  22.5i 13TO187   W84  C~4yRD      
2016 10  28.23573  01 59 40.52   +04 08 41.8   22.5i 13TO187   W84  C~3clQ      
2016 10  28.23711  01 59 40.519  +04 08 41.57  23.3g 13TO187   W84  C~4yRD      
2016 10  28.23711  01 59 40.52   +04 08 41.6   23.5g 13TO187   W84  C~3clQ      

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    -0.13       0.00     0.14
     2   0.0107   -340.63    -0.03      -8.96    -0.03
     3   0.0107   -340.63    -0.03      -9.01    -0.07
     4   0.0978  -3191.08     0.06      73.37    -0.02
     5   0.0980  -3196.56     0.06      73.79    -0.06
     6   0.0982  -3203.71     0.03      74.45    -0.02
     7   1.0594   5746.33     0.05     634.83     0.04
     8   1.0594   5746.33     0.05     634.79     0.00
     9   1.0594   5746.02    -0.14     634.81     0.01
    10   1.0594   5746.02    -0.14     634.77    -0.03
    11   1.0594   5746.02    -0.01     634.81     0.01
    12   1.0594   5745.99    -0.04     634.83     0.03
    13   1.0784   5114.43     0.15     662.80     0.04
    14   1.0784   5114.39     0.10     662.77     0.01
    15   1.0784   5113.75    -0.01     662.70    -0.10
    16   1.2041   1885.95     0.05    1136.11     0.03
    17   1.9302  17267.97     0.13    1406.51    -0.11
    18   2.1022  12081.37    -0.04    1351.31    -0.16
    19   2.1022  12081.36    -0.06    1351.36    -0.11
    20   2.1023  12081.30     0.01    1351.55     0.07
    21   2.1023  12081.35     0.05    1351.49     0.01
    22   2.1023  12081.06    -0.11    1351.75     0.26
    23   2.1023  12081.13    -0.05    1351.71     0.23
    24   2.2171   9322.85    -0.16    1836.33    -0.00
    25   2.2171   9323.10     0.14    1836.27    -0.09
    26   2.2171   9323.06     0.10    1836.33    -0.03
    27   2.9458  24729.08     0.08    2002.64    -0.00
    28   2.9458  24729.03     0.02    2002.62    -0.03
    29   2.9458  24728.90    -0.01    2002.60    -0.04
    30   2.9458  24728.96     0.05    2002.55    -0.09
    31   2.9458  24728.88     0.05    2002.65     0.03
    32   2.9458  24728.76    -0.06    2002.65     0.03
    33   3.0661  21107.51    -0.01    1922.66    -0.05
    34   3.0661  21107.46    -0.06    1922.80     0.09
    35   3.0798  20640.43    -0.06    1944.76     0.12
    36   3.0798  20640.48    -0.01    1944.69     0.04
    37   3.0798  20640.36    -0.00    1944.57    -0.08
    38   3.0798  20640.33    -0.03    1944.55    -0.10

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.

13TO187    quality flag:3

Type:           3:2E      3:2E      3:2E

axisobj        39.620    39.631    39.608
ecceobj         0.195     0.195     0.195
incobj          9.161     9.161     9.160
qmin           31.444    31.445    31.462
qmax           48.126    48.184    48.200
amean          39.457    39.457    39.457
amin           38.949    38.962    38.941
amax           40.036    40.024    40.037
emean           0.186     0.186     0.187
emin            0.169     0.168     0.171
emax            0.205     0.204     0.204
imean           7.543     7.578     7.484
imin            6.948     6.977     6.889
imax            8.093     8.141     8.089
excite_mean     0.228     0.228     0.228
fracstop        1.000     1.000     1.000
cjmean          2.993     2.993     2.993

libcent 0       179.8     180.0     180.3
libamp  0       110.3     109.2     113.3
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       190.5     188.8     186.8
kozaiamp        180.0     180.0     179.9