Orbit Fit and Astrometric record for 20PG3

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: 20PG3     
# Created Sun Dec 22 02:11:14 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     76 observations of     76
# Arc:   6.30y
# First observation: 2018/06/21
#  Last observation: 2024/10/08
# Chi-squared of fit:    43.46 DOF:    146 RMS:  0.13
# Min/Max residuals:    -0.40    0.44
# Exact a, adot, b, bdot, g, gdot:
  3.056392E-05  1.595106E-01 -9.966374E-06 -5.689230E-02  8.579517E-02 -5.066933E-02
# Covariance matrix:
  3.3407E-13 -1.0954E-12 -2.1691E-14  4.3414E-13  3.5951E-13 -1.0692E-12
 -1.0954E-12  2.0171E-11  3.9800E-13 -8.3222E-12 -3.6470E-13  2.0160E-11
 -2.1691E-14  3.9800E-13  2.4688E-13 -2.8417E-13 -2.1723E-14  4.0882E-13
  4.3414E-13 -8.3222E-12 -2.8417E-13  3.9154E-12  3.1234E-13 -8.5193E-12
  3.5951E-13 -3.6470E-13 -2.1723E-14  3.1234E-13  2.5013E-12 -8.8480E-13
 -1.0692E-12  2.0160E-11  4.0882E-13 -8.5193E-12 -8.8480E-13  2.0664E-11
#      lat0       lon0       xBary       yBary       zBary        JD0
    0.281023  -68.309005    0.375127    0.004621   -0.937067  2458291.009690
# Heliocentric elements and errors
Epoch:              2458290.5000  =  2018/06/21
Mean Anomaly:          337.44626 +/-     0.027
Argument of Peri:      240.07080 +/-     0.000
Long of Asc Node:      110.69408 +/-     0.000
Inclination:            19.79456 +/-     0.000
Eccentricity:         0.46089730 +/-    0.0000
Semi-Major Axis:     19.59866807 +/-    0.0000
Time of Perihelion: 2460275.9292 +/-       2.4
Perihelion:          10.56569488 +/-    0.0010
Aphelion:            28.63164125 +/-    0.0010
Period (y)               86.7657 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            4.30530632 +/-    0.0000
Ecliptic Y          -11.84633550 +/-    0.0000
Ecliptic Z            0.05712091 +/-    0.0000
Ecliptic XDOT         0.00414253 +/-    0.0000
Ecliptic YDOT         0.00337174 +/-    0.0000
Ecliptic ZDOT        -0.00182360 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   12.60466363 +/-    0.0000
Geocenter to KBO     11.65580197 +/-    0.0000
# Hcoef: 11.56

The following table shows the complete astrometric record for 20PG3. 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 (20PG3) followed by the observatory code and reference code for the source of the astrometry.

2018 06  21.508889 19 33 33.830  -21 24 50.86  23.2G 20PG3     F51  C~44B8      
2018 06  21.521081 19 33 33.691  -21 24 51.46  23.2G 20PG3     F51  C~44B8      
2018 06  21.533248 19 33 33.520  -21 24 52.04  22.5G 20PG3     F51  C~44B8      
2018 06  21.545414 19 33 33.369  -21 24 53.00  22.0G 20PG3     F51  C~44B8      
2018 07  11.414308 19 28 55.281  -21 45 44.06  22.4G 20PG3     F51  C~44B8      
2018 07  11.425795 19 28 55.105  -21 45 44.84  22.2G 20PG3     F51  C~44B8      
2018 08  05.316688 19 23 02.262  -22 11 25.81  22.9G 20PG3     F51  C~44B8      
2018 08  05.350545 19 23 01.796  -22 11 27.58  22.2G 20PG3     F51  C~44B8      
2019 05  12.577868 20 20 55.844  -22 11 34.05  22.2G 20PG3     F51  C~44B8      
2019 05  12.586279 20 20 55.849  -22 11 35.16  22.5G 20PG3     F51  C~44B8      
2019 05  12.594701 20 20 55.874  -22 11 35.62  22.9G 20PG3     F51  C~44B8      
2019 05  12.603127 20 20 55.874  -22 11 35.56  22.5G 20PG3     F51  C~44B8      
2019 06  03.569858 20 19 54.926  -22 32 18.52  22.9G 20PG3     F51  C~44B8      
2019 06  03.587448 20 19 54.824  -22 32 19.58  22.2G 20PG3     F51  C~44B8      
2019 06  03.596256 20 19 54.774  -22 32 20.15  23.0G 20PG3     F51  C~44B8      
2019 06  12.565543 20 18 46.825  -22 43 01.19  22.5G 20PG3     F51  C~44B8      
2019 06  12.585722 20 18 46.644  -22 43 02.65  22.2G 20PG3     F51  C~44B8      
2019 07  07.463959 20 13 56.964  -23 16 41.08  22.5G 20PG3     F51  C~44B8      
2019 07  07.476375 20 13 56.806  -23 16 42.22  22.6G 20PG3     F51  C~44B8      
2019 07  07.488774 20 13 56.628  -23 16 43.58  22.6G 20PG3     F51  C~44B8      
2019 07  07.501176 20 13 56.440  -23 16 44.56  22.7G 20PG3     F51  C~44B8      
2019 07  26.413101 20 09 19.175  -23 43 00.21  22.1G 20PG3     F51  C~44B8      
2019 07  26.425130 20 09 19.022  -23 43 00.88  22.1G 20PG3     F51  C~44B8      
2019 07  26.437185 20 09 18.838  -23 43 01.93  22.3G 20PG3     F51  C~44B8      
2019 08  20.301755 20 03 29.011  -24 12 54.10  22.0G 20PG3     F51  C~44B8      
2020 06  27.532819 21 05 03.505  -23 51 11.66  22.1G 20PG3     F51  C~44B8      
2020 06  27.544409 21 05 03.397  -23 51 12.71  22.4G 20PG3     F51  C~44B8      
2020 06  27.556010 21 05 03.289  -23 51 13.73  22.2G 20PG3     F51  C~44B8      
2020 07  13.577635 21 01 58.219  -24 19 23.02  22.3G 20PG3     F51  C~44B8      
2020 07  13.588914 21 01 58.072  -24 19 24.36  21.8G 20PG3     F51  C~44B8      
2020 07  22.422581 20 59 55.831  -24 35 03.69  21.7G 20PG3     F51  C~44B8      
2020 07  22.433225 20 59 55.667  -24 35 04.75  22.2G 20PG3     F51  C~44B8      
2020 07  22.443847 20 59 55.516  -24 35 05.91  22.0G 20PG3     F51  C~44B8      
2020 07  22.454478 20 59 55.347  -24 35 07.23  21.7G 20PG3     F51  C~44B8      
2020 07  23.430113 20 59 41.254  -24 36 49.58  22.0G 20PG3     F51  C~44B8      
2020 07  23.441065 20 59 41.092  -24 36 50.67  21.8G 20PG3     F51  C~44B8      
2020 07  23.452029 20 59 40.926  -24 36 51.77  22.2G 20PG3     F51  C~44B8      
2020 07  23.462977 20 59 40.769  -24 36 52.87  22.0G 20PG3     F51  C~44B8      
2020 08  14.317411 20 54 13.882  -25 12 16.87  22.5w 20PG3     F51  C~44B8      
2020 08  14.327993 20 54 13.729  -25 12 17.86  22.5w 20PG3     F51  C~44B8      
2020 08  14.338574 20 54 13.567  -25 12 18.68  22.0w 20PG3     F51  C~44B8      
2020 08  14.349144 20 54 13.397  -25 12 19.74  22.4w 20PG3     F51  C~44B8      
2020 08  15.381722 20 53 58.186  -25 13 48.90  22.5G 20PG3     568  C~44B8      
2020 08  15.382900 20 53 58.155  -25 13 48.85  22.0G 20PG3     568  C~44B8      
2020 08  15.393576 20 53 57.997  -25 13 49.71  21.9G 20PG3     568  C~44B8      
2020 08  15.394757 20 53 57.975  -25 13 49.87  22.1G 20PG3     568  C~44B8      
2021 07  06.463966 21 57 19.079  -23 52 42.57  21.9w 20PG3     F51  C~4u3G      
2021 07  06.475204 21 57 18.982  -23 52 43.93  22.2w 20PG3     F51  C~4u3G      
2021 07  06.502941 21 57 18.771  -23 52 47.28  22.3w 20PG3     F51  C~4u3G      
2021 07  13.515294 21 56 14.977  -24 07 16.54  21.8w 20PG3     F51  C~4v6i      
2021 07  13.525735 21 56 14.862  -24 07 17.87  21.8w 20PG3     F51  C~4v6i      
2021 07  13.536178 21 56 14.763  -24 07 18.94  22.1w 20PG3     F51  C~4v6i      
2021 07  13.546603 21 56 14.640  -24 07 20.47  22.0w 20PG3     F51  C~4v6i      
2021 07  31.404991 21 52 39.733  -24 44 57.87  21.9w 20PG3     F51  C~4wRr      
2021 07  31.416657 21 52 39.560  -24 44 59.39  21.8w 20PG3     F51  C~4wRr      
2021 07  31.442542 21 52 39.204  -24 45 02.74  21.5w 20PG3     F51  C~4wRr      
2021 09  07.350818 21 43 27.650  -25 50 19.40  21.8w 20PG3     F52  C~4ylK      
2021 09  07.359731 21 43 27.522  -25 50 20.06  21.7w 20PG3     F52  C~4ylL      
2021 09  07.377558 21 43 27.282  -25 50 21.39  21.8w 20PG3     F52  C~4ylL      
2022 08  18.394250 22 46 44.953  -24 00 02.54  21.6w 20PG3     F51  C~5kgO      
2022 08  18.405897 22 46 44.800  -24 00 04.23  21.6w 20PG3     F51  C~5kgO      
2022 08  18.417498 22 46 44.622  -24 00 05.64  21.4w 20PG3     F51  C~5kgO      
2022 08  18.429075 22 46 44.469  -24 00 07.02  21.7w 20PG3     F51  C~5kgO      
2023 10  14.282424 23 32 39.793  -22 49 26.82  21.8w 20PG3     F51  C~7Bk6      
2023 10  14.306852 23 32 39.499  -22 49 27.57  21.7w 20PG3     F51  C~7Bk6      
2023 10  14.318383 23 32 39.372  -22 49 27.74  21.8w 20PG3     F51  C~7Bk6      
2024 09  11.438822 00 37 17.674  -18 17 14.16  21.7w 20PG3     F51  C~8G0S      
2024 09  11.450000 00 37 17.539  -18 17 15.56  21.5w 20PG3     F51  C~8G0S      
2024 09  11.461236 00 37 17.397  -18 17 17.12  21.5w 20PG3     F51  C~8G0S      
2024 09  26.394469 00 33 49.075  -18 46 28.79  21.3w 20PG3     F52  C~8HXy      
2024 09  26.405071 00 33 48.905  -18 46 29.88  21.5w 20PG3     F52  C~8HXy      
2024 09  26.415697 00 33 48.742  -18 46 31.09  21.4w 20PG3     F52  C~8HXy      
2024 09  26.426323 00 33 48.592  -18 46 32.19  21.7w 20PG3     F52  C~8HXy      
2024 10  08.395396 00 30 53.622  -19 04 03.08  21.8w 20PG3     F51  C~8HXy      
2024 10  08.406090 00 30 53.459  -19 04 03.48  21.8w 20PG3     F51  C~8HXy      
2024 10  08.416557 00 30 53.299  -19 04 04.43  21.7w 20PG3     F51  C~8HXy      

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    -0.24       0.00    -0.14
     2   0.0000      0.00     0.09       0.00    -0.00
     3   0.0001      0.00    -0.06       0.00     0.15
     4   0.0001      0.00     0.09       0.00    -0.07
     5   0.0545      0.00     0.11       0.00     0.02
     6   0.0545      0.00     0.05       0.00    -0.02
     7   0.1227      0.00    -0.03       0.00    -0.28
     8   0.1228      0.00    -0.27       0.00    -0.06
     9   0.8900      0.00    -0.21       0.00     0.44
    10   0.8900      0.00    -0.21       0.00    -0.29
    11   0.8900      0.00     0.10       0.00    -0.37
    12   0.8901      0.00     0.03       0.00     0.06
    13   0.9502      0.00    -0.13       0.00    -0.14
    14   0.9502      0.00     0.08       0.00    -0.01
    15   0.9503      0.00     0.20       0.00     0.01
    16   0.9748      0.00     0.19       0.00    -0.10
    17   0.9749      0.00     0.24       0.00    -0.05
    18   1.0430      0.00    -0.26       0.00     0.39
    19   1.0430      0.00     0.02       0.00     0.30
    20   1.0431      0.00    -0.01       0.00    -0.01
    21   1.0431      0.00    -0.18       0.00     0.06
    22   1.0949      0.00    -0.40       0.00    -0.20
    23   1.0949      0.00     0.07       0.00     0.10
    24   1.0949      0.00     0.09       0.00     0.02
    25   1.1630      0.00     0.26       0.00    -0.19
    26   2.0179      0.00    -0.14       0.00    -0.09
    27   2.0179      0.00    -0.01       0.00     0.05
    28   2.0179      0.00     0.12       0.00     0.21
    29   2.0618      0.00     0.07       0.00     0.08
    30   2.0618      0.00     0.15       0.00    -0.07
    31   2.0860      0.00     0.03       0.00    -0.03
    32   2.0860      0.00    -0.07       0.00     0.03
    33   2.0861      0.00     0.02       0.00    -0.01
    34   2.0861      0.00    -0.16       0.00    -0.20
    35   2.0888      0.00     0.02       0.00    -0.14
    36   2.0888      0.00     0.04       0.00    -0.07
    37   2.0888      0.00    -0.01       0.00    -0.02
    38   2.0889      0.00     0.08       0.00     0.03
    39   2.1487      0.00    -0.07       0.00     0.05
    40   2.1487      0.00     0.03       0.00    -0.01
    41   2.1487      0.00    -0.00       0.00     0.10
    42   2.1488      0.00    -0.15       0.00    -0.04
    43   2.1516      0.00     0.20       0.00    -0.13
    44   2.1516      0.00    -0.00       0.00     0.03
    45   2.1516      0.00     0.04       0.00     0.08
    46   2.1516      0.00    -0.02       0.00     0.02
    47   3.0416      0.00    -0.21       0.00     0.03
    48   3.0417      0.00    -0.25       0.00     0.05
    49   3.0417      0.00     0.10       0.00     0.10
    50   3.0609      0.00     0.07       0.00     0.03
    51   3.0610      0.00    -0.03       0.00     0.01
    52   3.0610      0.00     0.12       0.00     0.26
    53   3.0610      0.00    -0.10       0.00     0.04
    54   3.1099      0.00    -0.06       0.00     0.04
    55   3.1099      0.00    -0.20       0.00    -0.02
    56   3.1100      0.00    -0.08       0.00    -0.13
    57   3.2138      0.00     0.05       0.00     0.02
    58   3.2138      0.00    -0.02       0.00     0.01
    59   3.2139      0.00     0.07       0.00    -0.03
    60   4.1585      0.00    -0.13       0.00     0.05
    61   4.1585      0.00     0.07       0.00    -0.09
    62   4.1585      0.00    -0.12       0.00     0.04
    63   4.1586      0.00     0.07       0.00     0.19
    64   5.3135      0.00    -0.05       0.00    -0.02
    65   5.3136      0.00    -0.02       0.00    -0.04
    66   5.3136      0.00     0.16       0.00     0.13
    67   6.2257      0.00    -0.27       0.00    -0.05
    68   6.2257      0.00    -0.04       0.00     0.01
    69   6.2257      0.00     0.09       0.00    -0.09
    70   6.2666      0.00     0.16       0.00     0.04
    71   6.2667      0.00    -0.01       0.00     0.04
    72   6.2667      0.00    -0.08       0.00    -0.07
    73   6.2667      0.00     0.05       0.00    -0.08
    74   6.2995      0.00     0.12       0.00    -0.25
    75   6.2995      0.00     0.05       0.00     0.12
    76   6.2995      0.00    -0.02       0.00    -0.08

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.

20PG3    quality flag:3

Type:       CENTAURR  CENTAURR  CENTAURR

axisobj        19.441    19.441    19.441
ecceobj         0.461     0.461     0.461
incobj         19.802    19.802    19.802
qmin            9.071    10.013    10.137
qmax           29.768    31.211    28.409
amean          18.366    18.856    18.648
amin           16.903    18.500    18.140
amax           19.751    20.709    19.537
emean           0.459     0.457     0.425
emin            0.393     0.446     0.399
emax            0.522     0.507     0.466
imean          17.453    17.983    19.023
imin           15.277    17.436    17.257
imax           19.853    18.471    20.254
excite_mean     0.549     0.552     0.536
fracstop        0.014     0.006     0.017
cjmean          2.963     2.933     2.959

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       229.3     292.5     141.2
kozaiamp        176.9      46.8     179.4