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 Fri Dec  3 02:14:03 2021
# Orbit generated from Bernstein formalism
# Fitting     57 observations of     59
# Arc:   3.21y
# First observation: 2018/06/21
#  Last observation: 2021/09/07
Preliminary a, adot, b, bdot, g, gdot:
  -0.028840   0.208987   0.011585  -0.075205   0.101575   0.000000
# Chi-squared of fit:    29.98 DOF:    108 RMS:  0.13
# Min/Max residuals:    -0.41    0.34
# Exact a, adot, b, bdot, g, gdot:
  3.042532E-05  1.595094E-01 -1.026137E-05 -5.689170E-02  8.579536E-02 -5.066914E-02
# Covariance matrix:
  1.4224E-13 -1.2052E-13 -2.0320E-14  3.2026E-14 -1.6665E-14 -1.2375E-13
 -1.2052E-13  1.6988E-13  3.4997E-14 -5.5157E-14  6.9767E-14  2.1278E-13
 -2.0320E-14  3.4997E-14  1.0050E-13 -5.0574E-14  1.0952E-14  5.0925E-14
  3.2026E-14 -5.5157E-14 -5.0574E-14  3.9824E-14 -1.7261E-14 -8.0261E-14
 -1.6665E-14  6.9767E-14  1.0952E-14 -1.7261E-14  1.4280E-13  6.5559E-14
 -1.2375E-13  2.1278E-13  5.0925E-14 -8.0261E-14  6.5559E-14  3.0993E-13
#      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:          337.44382 +/-     0.001
Argument of Peri:      240.07332 +/-     0.001
Long of Asc Node:      110.69403 +/-     0.000
Inclination:            19.79450 +/-     0.000
Eccentricity:         0.46087784 +/-    0.0000
Semi-Major Axis:     19.59775017 +/-    0.0006
Time of Perihelion: 2460276.0041 +/-       0.0
Perihelion:          10.56558138 +/-    0.0004
Aphelion:            28.62991895 +/-    0.0009
Period (y)               86.7596 +/-      0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X            4.30529494 +/-    0.0000
Ecliptic Y          -11.84631127 +/-    0.0000
Ecliptic Z            0.05711734 +/-    0.0000
Ecliptic XDOT         0.00414249 +/-    0.0000
Ecliptic YDOT         0.00337171 +/-    0.0000
Ecliptic ZDOT        -0.00182358 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   12.60451973 +/-    0.0000
Geocenter to KBO     11.65564151 +/-    0.0001
# Hcoef: 11.67

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      

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    -0.21       0.00    -0.05
     2   0.0000     -2.01     0.11      -0.29     0.04
     3   0.0001     -4.46    -0.00      -0.48     0.22
     4   0.0001     -6.69     0.10      -1.10    -0.02
     5   0.0545  -4032.46     0.14    -639.00     0.07
     6   0.0545  -4035.00     0.08    -639.40     0.03
     7   0.1227  -9120.84    -0.01   -1449.09    -0.21
     8   0.1228  -9127.51    -0.21   -1449.93     0.03
     9   0.8900  38737.07 (  -0.10) -10618.22 (   0.53)
    10   0.8900  38736.88    -0.27  -10619.34    -0.20
    11   0.8900  38737.12    -0.00  -10619.88    -0.35
    12   0.8901  38737.14     0.04  -10619.82     0.10
    13   0.9502  37590.90    -0.16  -11646.23    -0.07
    14   0.9502  37589.23     0.06  -11646.93     0.02
    15   0.9503  37588.40     0.18  -11647.33     0.02
    16   0.9748  36490.81     0.14  -12055.37    -0.09
    17   0.9749  36487.95     0.20  -12056.21    -0.06
    18   1.0430  32011.15 (  -0.16) -13108.68 (   0.49)
    19   1.0430  32008.71     0.07  -13109.30     0.34
    20   1.0431  32005.95    -0.02  -13110.07     0.04
    21   1.0431  32003.14    -0.16  -13110.44     0.14
    22   1.0949  27844.61    -0.41  -13797.88    -0.07
    23   1.0949  27842.37     0.08  -13798.08     0.13
    24   1.0949  27839.62     0.08  -13798.55     0.05
    25   1.1630  22688.44     0.20  -14519.39    -0.20
    26   2.0179  75273.32    -0.18  -27459.39    -0.03
    27   2.0179  75271.35    -0.00  -27459.93     0.07
    28   2.0179  75269.40     0.18  -27460.44     0.19
    29   2.0618  71960.36     0.08  -28283.13     0.07
    30   2.0618  71957.75     0.11  -28283.79    -0.10
    31   2.0860  69852.66     0.01  -28655.12    -0.03
    32   2.0860  69849.91    -0.07  -28655.42     0.07
    33   2.0861  69847.32     0.01  -28655.88    -0.00
    34   2.0861  69844.42    -0.23  -28656.42    -0.15
    35   2.0888  69604.74    -0.02  -28693.61    -0.14
    36   2.0888  69602.01     0.01  -28693.95    -0.08
    37   2.0888  69599.22    -0.02  -28694.28    -0.01
    38   2.0889  69596.57     0.08  -28694.66     0.01
    39   2.1487  64174.62    -0.06  -29329.43     0.07
    40   2.1487  64172.11     0.02  -29329.73    -0.02
    41   2.1487  64169.52     0.02  -29329.83     0.10
    42   2.1488  64166.74    -0.17  -29330.12     0.01
    43   2.1516  63920.03     0.14  -29351.10    -0.18
    44   2.1516  63919.59    -0.00  -29350.91     0.03
    45   2.1516  63917.05     0.06  -29351.06     0.08
    46   2.1516  63916.69    -0.02  -29351.12     0.04
    47   3.0416 126445.18    -0.19  -46811.81     0.09
    48   3.0417 126442.77    -0.23  -46812.56     0.13
    49   3.0417 126437.34     0.21  -46814.61     0.02
    50   3.0609 124871.99     0.15  -47280.52    -0.06
    51   3.0610 124869.30     0.03  -47281.10    -0.02
    52   3.0610 124867.01     0.32  -47281.52     0.17
    53   3.0610 124864.08    -0.04  -47282.26     0.04
    54   3.1099 119994.57    -0.01  -48132.00     0.02
    55   3.1099 119990.83    -0.20  -48132.37     0.02
    56   3.1100 119983.05    -0.12  -48133.37    -0.15
    57   3.2138 108820.10     0.07  -48405.72    -0.06
    58   3.2138 108817.69    -0.02  -48405.54    -0.03
    59   3.2139 108813.12     0.07  -48405.30    -0.12

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        19.440    19.441    19.439
ecceobj         0.461     0.461     0.461
incobj         19.802    19.802    19.802
qmin            9.435    10.174     9.424
qmax           30.499    41.569    28.906
amean          18.966    22.088    17.419
amin           17.635    18.518    15.574
amax           20.542    25.950    19.567
emean           0.465     0.514     0.416
emin            0.423     0.412     0.343
emax            0.498     0.602     0.477
imean          18.966    17.924    17.772
imin           15.937    16.063    14.451
imax           21.138    20.349    19.578
excite_mean     0.568     0.601     0.516
fracstop        0.015     0.015     0.016
cjmean          2.916     2.764     3.051

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       189.0     158.5     196.1
kozaiamp        178.4     178.5     178.2