Orbit Fit and Astrometric record for 13TH172

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: 13TH172   
# Created Mon Dec  6 02:12:03 2021
# Orbit generated from Bernstein formalism
# Fitting     43 observations of     43
# Arc:   4.94y
# First observation: 2013/10/03
#  Last observation: 2018/09/11
Preliminary a, adot, b, bdot, g, gdot:
   0.000081   0.036080   0.000066   0.006292   0.030246   0.000000
# Chi-squared of fit:    19.00 DOF:     80 RMS:  0.12
# Min/Max residuals:    -0.37    0.30
# Exact a, adot, b, bdot, g, gdot:
  2.024743E-05  3.675039E-02  2.505312E-06  6.433416E-03  3.120135E-02  5.261941E-03
# Covariance matrix:
  2.5353E-13 -1.7297E-13  1.2781E-14 -2.0025E-14 -1.9044E-15 -7.0978E-13
 -1.7297E-13  2.3201E-13 -2.5045E-14  3.7745E-14  1.1623E-13  1.3454E-12
  1.2781E-14 -2.5045E-14  1.6924E-13 -5.5081E-14 -2.0096E-14 -1.6496E-13
 -2.0025E-14  3.7745E-14 -5.5081E-14  2.6310E-14  2.7330E-14  2.4564E-13
 -1.9044E-15  1.1623E-13 -2.0096E-14  2.7330E-14  3.1570E-13  9.8970E-13
 -7.0978E-13  1.3454E-12 -1.6496E-13  2.4564E-13  9.8970E-13  8.7714E-12
#      lat0       lon0       xBary       yBary       zBary        JD0
   -6.181693   11.809919    0.036522   -0.107586   -0.994222  2456568.605858
# Heliocentric elements and errors
Epoch:              2456560.5000  =  2013/09/25
Mean Anomaly:           23.65030 +/-     0.010
Argument of Peri:      288.41843 +/-     0.018
Long of Asc Node:       42.68184 +/-     0.000
Inclination:            11.54714 +/-     0.000
Eccentricity:         0.25751089 +/-    0.0001
Semi-Major Axis:     42.35911664 +/-    0.0038
Time of Perihelion: 2449945.1473 +/-       2.5
Perihelion:          31.45118302 +/-    0.0041
Aphelion:            53.26705026 +/-    0.0056
Period (y)              275.6948 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           32.17482173 +/-    0.0006
Ecliptic Y            6.69336767 +/-    0.0001
Ecliptic Z           -3.45112527 +/-    0.0001
Ecliptic XDOT        -0.00015734 +/-    0.0000
Ecliptic YDOT         0.00326154 +/-    0.0000
Ecliptic ZDOT         0.00051166 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   33.04437304 +/-    0.0005
Geocenter to KBO     32.04989222 +/-    0.0006
# Hcoef:  7.59

The following table shows the complete astrometric record for 13TH172. 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 (13TH172) followed by the observatory code and reference code for the source of the astrometry.

2013 10  03.10508  00 53 05.01   -01 01 23.7   22.9g 13TH172   W84  C~3clP      
2013 10  11.21954  00 52 19.384  -01 05 35.68  23.5g 13TH172   W84  C~4yR9      
2013 10  11.21954  00 52 19.39   -01 05 35.7   23.7g 13TH172   W84  C~3clP      
2013 10  29.04626  00 50 42.769  -01 13 35.51  24.1g 13TH172   W84  C~4yR9      
2014 10  02.29685  01 00 19.409  +00 08 20.25  22.5r 13TH172   W84  C~4yR9      
2014 10  02.29685  01 00 19.41   +00 08 20.3   22.6r 13TH172   W84  C~3clP      
2014 10  02.29821  01 00 19.406  +00 08 20.12  22.1i 13TH172   W84  C~4yR9      
2014 10  02.29821  01 00 19.41   +00 08 20.1   22.2i 13TH172   W84  C~3clP      
2014 10  28.21009  00 57 56.342  -00 04 08.39  22.8r 13TH172   W84  C~4yR9      
2014 10  28.21009  00 57 56.34   -00 04 08.4   22.8r 13TH172   W84  C~3clP      
2014 11  13.13399  00 56 39.364  -00 09 35.30  23.0r 13TH172   W84  C~4yR9      
2014 11  13.13399  00 56 39.36   -00 09 35.3   22.9r 13TH172   W84  C~3clP      
2014 11  18.157512 00 56 18.44   -00 10 48.2   20.2z 13TH172   W84  C~35ba      
2016 08  16.38990  01 17 39.684  +02 45 16.00  22.9i 13TH172   W84  C~4yR9      
2016 08  16.38990  01 17 39.68   +02 45 16.0   23.0i 13TH172   W84  C~3clP      
2016 08  16.39126  01 17 39.673  +02 45 16.03  22.5z 13TH172   W84  C~4yR9      
2016 08  16.39126  01 17 39.67   +02 45 16.0   22.5z 13TH172   W84  C~3clP      
2016 08  26.33098  01 17 10.391  +02 41 40.48  23.1r 13TH172   W84  C~4yR9      
2016 08  26.33098  01 17 10.39   +02 41 40.5   23.0r 13TH172   W84  C~3clP      
2016 08  30.359039 01 16 56.04   +02 40 01.6   23.8g 13TH172   W84  C~35ba      
2016 08  30.35956  01 16 56.042  +02 40 01.36  23.9g 13TH172   W84  C~4yR9      
2016 10  23.220556 01 12 22.70   +02 13 36.7   23.1r 13TH172   W84  C~35ba      
2016 10  23.22109  01 12 22.706  +02 13 36.61  23.4r 13TH172   W84  C~4yR9      
2016 10  29.19312  01 11 50.457  +02 10 59.67  22.0i 13TH172   W84  C~4yR9      
2016 10  29.19312  01 11 50.46   +02 10 59.7   22.1i 13TH172   W84  C~3clP      
2016 10  29.19449  01 11 50.436  +02 10 59.49  22.8r 13TH172   W84  C~4yR9      
2016 10  29.19449  01 11 50.44   +02 10 59.5   22.9r 13TH172   W84  C~3clP      
2016 10  29.19587  01 11 50.429  +02 10 59.61  24.0g 13TH172   W84  C~4yR9      
2016 11  08.176921 01 10 59.52   +02 07 08.7   22.2z 13TH172   W84  C~35ba      
2016 11  08.17745  01 10 59.540  +02 07 08.54  22.1z 13TH172   W84  C~4yR9      
2017 08  22.395556 01 24 13.60   +03 49 01.1   23.0r 13TH172   W84  C~35ba      
2017 08  22.39609  01 24 13.616  +03 49 01.23  22.5r 13TH172   W84  C~4yR9      
2017 08  22.410926 01 24 13.55   +03 49 00.9   23.0i 13TH172   W84  C~35ba      
2017 08  22.41145  01 24 13.557  +03 49 00.78  22.8i 13TH172   W84  C~4yR9      
2017 08  27.37623  01 23 58.246  +03 47 14.06  24.2g 13TH172   W84  C~4yR9      
2017 08  28.367766 01 23 54.94   +03 46 51.2   21.7i 13TH172   W84  C~35ba      
2017 08  28.375972 01 23 54.91   +03 46 51.3   22.4r 13TH172   W84  C~35ba      
2017 08  28.37650  01 23 54.907  +03 46 51.24  22.4r 13TH172   W84  C~4yR9      
2017 09  14.325903 01 22 46.33   +03 39 32.3   22.9z 13TH172   W84  C~35ba      
2017 09  14.32643  01 22 46.335  +03 39 32.34  22.4z 13TH172   W84  C~4yR9      
2017 09  18.277025 01 22 27.57   +03 37 38.8   23.9g 13TH172   W84  C~35ba      
2017 09  18.27755  01 22 27.573  +03 37 38.71  23.9g 13TH172   W84  C~4yR9      
2018 09  11.35161  01 29 49.714  +04 46 16.09  22.1i 13TH172   W84  C~4yR9      

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    -0.33       0.00     0.16
     2   0.0222   -728.31     0.02      34.30    -0.20
     3   0.0222   -728.39    -0.05      34.36    -0.15
     4   0.0710  -2249.89     0.30     156.45    -0.19
     5   0.9971   7634.46    -0.01    1315.62     0.08
     6   0.9971   7634.50     0.02    1315.66     0.12
     7   0.9971   7634.37     0.02    1315.52    -0.02
     8   0.9971   7634.42     0.06    1315.48    -0.07
     9   1.0680   5364.02     0.01    1462.13     0.04
    10   1.0680   5364.05     0.04    1462.13     0.04
    11   1.1116   4172.54    -0.11    1610.86    -0.02
    12   1.1116   4172.60    -0.05    1610.84    -0.04
    13   1.1254   3855.01     0.19    1665.95     0.19
    14   2.8700  25799.38    -0.03    3941.25     0.02
    15   2.8700  25799.43     0.02    3941.22    -0.01
    16   2.8701  25799.23    -0.11    3941.31     0.08
    17   2.8701  25799.29    -0.06    3941.32     0.09
    18   2.8973  25303.68     0.01    3912.08    -0.06
    19   2.8973  25303.68     0.01    3912.06    -0.08
    20   2.9083  25063.56     0.11    3904.03     0.21
    21   2.9083  25063.49     0.07    3903.79    -0.02
    22   3.0558  20618.55    -0.26    4030.42     0.09
    23   3.0558  20618.60    -0.16    4030.31    -0.03
    24   3.0721  20107.29     0.24    4073.30     0.06
    25   3.0721  20107.24     0.18    4073.29     0.05
    26   3.0721  20106.93    -0.00    4073.23    -0.02
    27   3.0721  20106.87    -0.06    4073.25    -0.01
    28   3.0721  20106.82     0.00    4073.40     0.13
    29   3.0994  19306.66    -0.23    4156.92     0.19
    30   3.0994  19306.88     0.03    4156.65    -0.08
    31   3.8858  32863.52    -0.09    5208.21     0.02
    32   3.8858  32863.80     0.22    5208.24     0.05
    33   3.8858  32862.73    -0.11    5208.31     0.15
    34   3.8858  32862.78    -0.03    5208.16    -0.00
    35   3.8994  32603.73    -0.03    5197.63    -0.03
    36   3.9022  32547.87     0.02    5195.54    -0.37
    37   3.9022  32547.49     0.12    5195.80    -0.09
    38   3.9022  32547.42     0.08    5195.77    -0.13
    39   3.9486  31403.86    -0.13    5185.44    -0.04
    40   3.9486  31403.94    -0.00    5185.45    -0.03
    41   3.9594  31093.94     0.01    5188.83     0.07
    42   3.9594  31093.95     0.06    5188.73    -0.04
    43   4.9398  39013.48     0.00    6474.08    -0.06

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.

13TH172    quality flag:3

Type:          5:3EE     5:3EE     5:3EE

axisobj        42.641    42.653    42.628
ecceobj         0.263     0.263     0.263
incobj         11.539    11.539    11.539
qmin           30.342    30.362    30.356
qmax           54.987    55.011    54.973
amean          42.326    42.326    42.326
amin           41.843    41.858    41.854
amax           42.876    42.875    42.890
emean           0.262     0.260     0.263
emin            0.232     0.219     0.235
emax            0.283     0.283     0.283
imean          10.259    10.453    10.210
imin            9.320     9.563     9.248
imax           12.177    13.049    11.893
excite_mean     0.317     0.317     0.317
fracstop        1.000     1.000     1.000
cjmean          2.963     2.963     2.963

libcent 0       181.1     180.7     179.8
libamp  0        84.0      86.3      84.2
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       167.2     146.6     172.5
kozaiamp        179.9     180.0     180.0