Orbit Fit and Astrometric record for 13TM187

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: 13TM187   
# Created Fri Dec  3 02:12:05 2021
# Orbit generated from Bernstein formalism
# Fitting     27 observations of     28
# Arc:   3.94y
# First observation: 2013/10/13
#  Last observation: 2017/08/22
Preliminary a, adot, b, bdot, g, gdot:
  -0.000425   0.038302   0.000035   0.006550   0.031882   0.000000
# Chi-squared of fit:     6.95 DOF:     48 RMS:  0.09
# Min/Max residuals:    -0.25    0.21
# Exact a, adot, b, bdot, g, gdot:
  1.573236E-05  3.842393E-02  4.338137E-06  6.592897E-03  3.269347E-02  2.113273E-03
# Covariance matrix:
  5.5604E-13 -1.8141E-13  8.0803E-15 -9.0801E-15  2.0108E-13 -2.9104E-13
 -1.8141E-13  5.7644E-13 -6.7367E-14  1.0283E-13  5.6643E-13  3.8697E-12
  8.0803E-15 -6.7367E-14  3.6387E-13 -1.3190E-13 -7.1901E-14 -4.9223E-13
 -9.0801E-15  1.0283E-13 -1.3190E-13  6.6957E-14  1.1427E-13  7.5418E-13
  2.0108E-13  5.6643E-13 -7.1901E-14  1.1427E-13  9.7749E-13  4.3702E-12
 -2.9104E-13  3.8697E-12 -4.9223E-13  7.5418E-13  4.3702E-12  2.8424E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
   -7.445866   16.453114    0.457722   -0.116157   -0.889593  2456547.852188
# Heliocentric elements and errors
Epoch:              2456540.5000  =  2013/09/05
Mean Anomaly:           13.33644 +/-     0.046
Argument of Peri:      304.80092 +/-     0.063
Long of Asc Node:       52.28248 +/-     0.001
Inclination:            11.99970 +/-     0.000
Eccentricity:         0.14259545 +/-    0.0001
Semi-Major Axis:     36.49372880 +/-    0.0037
Time of Perihelion: 2453557.4325 +/-      10.3
Perihelion:          31.28988926 +/-    0.0039
Aphelion:            41.69756834 +/-    0.0048
Period (y)              220.4629 +/-      0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           30.07692780 +/-    0.0009
Ecliptic Y            8.40822083 +/-    0.0003
Ecliptic Z           -3.96366617 +/-    0.0001
Ecliptic XDOT        -0.00068063 +/-    0.0000
Ecliptic YDOT         0.00315476 +/-    0.0000
Ecliptic ZDOT         0.00052466 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   31.48063552 +/-    0.0008
Geocenter to KBO     30.58714958 +/-    0.0009
# Hcoef:  8.26

The following table shows the complete astrometric record for 13TM187. 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 (13TM187) followed by the observatory code and reference code for the source of the astrometry.

2013 09  12.35141  01 12 02.986  -00 24 41.67  24.3g 13TM187   W84  C~4yRD      
2013 10  13.22103  01 09 09.211  -00 42 05.67  22.5i 13TM187   W84  C~4yRD      
2013 10  13.22103  01 09 09.21   -00 42 05.7   22.6i 13TM187   W84  C~3clQ      
2014 10  02.28688  01 17 49.792  +00 35 25.86  24.6g 13TM187   W84  C~4yRD      
2014 10  21.25662  01 15 57.663  +00 25 21.85  23.3r 13TM187   W84  C~4yRD      
2014 10  21.25662  01 15 57.66   +00 25 21.8   23.3r 13TM187   W84  C~3clQ      
2014 11  28.11463  01 12 46.368  +00 13 01.87  23.0z 13TM187   W84  C~4yRD      
2015 10  17.17241  01 23 56.148  +01 38 37.02  22.8r 13TM187   W84  C~4yRD      
2015 10  17.17241  01 23 56.15   +01 38 37.0   22.9r 13TM187   W84  C~3clQ      
2015 11  06.19330  01 22 00.213  +01 29 29.89  22.7i 13TM187   W84  C~4yRD      
2015 11  06.19330  01 22 00.21   +01 29 29.9   22.7i 13TM187   W84  C~3clQ      
2016 08  15.42460  01 36 09.588  +03 19 06.99  23.2i 13TM187   W84  C~4yRD      
2016 08  16.37872  01 36 07.629  +03 18 48.52  22.9z 13TM187   W84  C~4yRD      
2016 10  23.23279  01 30 46.889  +02 45 54.34  23.0r 13TM187   W84  C~4yRD      
2016 10  23.23279  01 30 46.89   +02 45 54.3   23.1r 13TM187   W84  C~3clQ      
2016 10  28.16742  01 30 17.779  +02 43 34.84  23.5i 13TM187   W84  C~4yRD      
2016 10  28.16742  01 30 17.78   +02 43 34.9   23.4i 13TM187   W84  C~3clQ      
2016 10  28.16880  01 30 17.774  +02 43 34.87  23.6g 13TM187   W84  C~4yRD      
2016 10  28.16880  01 30 17.77   +02 43 34.9   23.7g 13TM187   W84  C~3clQ      
2016 11  05.15481  01 29 32.027  +02 40 09.48  22.8i 13TM187   W84  C~4yRD      
2016 11  05.15481  01 29 32.03   +02 40 09.5   23.0i 13TM187   W84  C~3clQ      
2016 11  05.15619  01 29 32.016  +02 40 09.39  23.2r 13TM187   W84  C~4yRD      
2016 11  05.15619  01 29 32.02   +02 40 09.4   23.4r 13TM187   W84  C~3clQ      
2016 11  05.19071  01 29 31.834  +02 40 08.64  22.9z 13TM187   W84  C~4yRD      
2016 11  05.19071  01 29 31.83   +02 40 08.7   22.9z 13TM187   W84  C~3clQ      
2017 08  22.38370  01 43 18.072  +04 25 53.59  22.5i 13TM187   W84  C~4yRD      
2017 08  22.38506  01 43 18.072  +04 25 53.43  23.3r 13TM187   W84  C~4yRD      
2017 08  22.38645  01 43 18.060  +04 25 53.16  24.1g 13TM187   W84  C~4yRD      

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 (   0.59)      0.00 (  -0.24)
     2   0.0845  -2807.85     0.00      29.16    -0.02
     3   0.0845  -2807.83     0.03      29.18    -0.00
     4   1.0539   6186.82     0.18    1350.45    -0.03
     5   1.1058   4400.44    -0.12    1433.56    -0.02
     6   1.1058   4400.50    -0.06    1433.59     0.01
     7   1.2095   1465.12    -0.00    1844.17    -0.04
     8   2.0940  12726.41     0.13    2763.73    -0.03
     9   2.0940  12726.39     0.11    2763.76     0.00
    10   2.1488  10904.57    -0.18    2919.92     0.05
    11   2.1488  10904.61    -0.14    2919.89     0.02
    12   2.9242  25296.85    -0.12    4179.60    -0.02
    13   2.9268  25262.18    -0.04    4173.54    -0.16
    14   3.1126  20004.19     0.05    4164.48     0.17
    15   3.1126  20004.20     0.06    4164.52     0.21
    16   3.1261  19543.54     0.03    4201.00    -0.03
    17   3.1261  19543.50    -0.00    4200.95    -0.08
    18   3.1261  19543.40     0.02    4201.06     0.02
    19   3.1261  19543.44     0.07    4201.01    -0.03
    20   3.1480  18825.18    -0.00    4271.20     0.05
    21   3.1480  18825.13    -0.05    4271.19     0.05
    22   3.1480  18825.00    -0.06    4271.16     0.00
    23   3.1480  18824.94    -0.12    4271.17     0.02
    24   3.1481  18822.08     0.08    4271.59     0.09
    25   3.1481  18822.11     0.11    4271.51     0.01
    26   3.9426  32901.44     0.08    5490.23     0.07
    27   3.9426  32901.38     0.08    5490.08    -0.07
    28   3.9426  32901.10    -0.14    5489.89    -0.25

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.

13TM187    quality flag:3

Type:           4:3E      4:3E      4:3E

axisobj        36.683    36.694    36.673
ecceobj         0.148     0.148     0.148
incobj         11.996    11.996    11.996
qmin           30.311    30.317    30.305
qmax           43.040    43.056    43.119
amean          36.477    36.477    36.477
amin           36.135    36.124    36.138
amax           36.873    36.848    36.867
emean           0.144     0.143     0.144
emin            0.113     0.113     0.113
emax            0.168     0.169     0.170
imean           9.750     9.801     9.814
imin            8.042     8.080     8.093
imax           11.582    11.582    11.580
excite_mean     0.223     0.223     0.223
fracstop        1.000     1.000     1.000
cjmean          2.972     2.971     2.971

libcent 0       179.1     179.1     178.3
libamp  0        63.6      59.7      61.5
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       180.9     178.7     179.8
kozaiamp        180.0     180.0     180.0