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 Sat Apr 20 01:18:38 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 66 observations of 66
# Arc: 5.31y
# First observation: 2018/06/21
# Last observation: 2023/10/14
# Chi-squared of fit: 39.05 DOF: 126 RMS: 0.14
# Min/Max residuals: -0.40 0.45
# Exact a, adot, b, bdot, g, gdot:
3.052398E-05 1.595106E-01 -1.008784E-05 -5.689224E-02 8.579523E-02 -5.066924E-02
# Covariance matrix:
9.5172E-14 -4.7553E-14 -1.8400E-14 1.5172E-14 1.5059E-14 -2.8015E-14
-4.7553E-14 3.1902E-14 1.3820E-14 -1.1044E-14 -7.8127E-16 1.8946E-14
-1.8400E-14 1.3820E-14 5.9798E-14 -2.1180E-14 -7.7855E-15 1.2230E-14
1.5172E-14 -1.1044E-14 -2.1180E-14 1.0965E-14 9.0857E-15 -1.0677E-14
1.5059E-14 -7.8127E-16 -7.7855E-15 9.0857E-15 8.6208E-14 -2.7748E-14
-2.8015E-14 1.8946E-14 1.2230E-14 -1.0677E-14 -2.7748E-14 2.2152E-14
# 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: 337.44602 +/- 0.001
Argument of Peri: 240.07098 +/- 0.001
Long of Asc Node: 110.69406 +/- 0.000
Inclination: 19.79453 +/- 0.000
Eccentricity: 0.46089486 +/- 0.0000
Semi-Major Axis: 19.59855982 +/- 0.0054
Time of Perihelion: 2460275.9338 +/- 12.3
Perihelion: 10.56568432 +/- 0.0029
Aphelion: 28.63143531 +/- 0.0079
Period (y) 86.7650 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 4.30530250 +/- 0.0000
Ecliptic Y -11.84632714 +/- 0.0000
Ecliptic Z 0.05711945 +/- 0.0000
Ecliptic XDOT 0.00414253 +/- 0.0000
Ecliptic YDOT 0.00337173 +/- 0.0000
Ecliptic ZDOT -0.00182360 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 12.60465446 +/- 0.0000
Geocenter to KBO 11.65579278 +/- 0.0001
# Hcoef: 11.62
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
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 -0.23 0.00 -0.12
2 0.0000 0.00 0.10 0.00 0.02
3 0.0001 0.00 -0.05 0.00 0.18
4 0.0001 0.00 0.09 0.00 -0.05
5 0.0545 0.00 0.12 0.00 0.05
6 0.0545 0.00 0.06 0.00 0.01
7 0.1227 0.00 -0.01 0.00 -0.25
8 0.1228 0.00 -0.26 0.00 -0.04
9 0.8900 0.00 -0.22 0.00 0.45
10 0.8900 0.00 -0.21 0.00 -0.28
11 0.8900 0.00 0.09 0.00 -0.36
12 0.8901 0.00 0.03 0.00 0.08
13 0.9502 0.00 -0.14 0.00 -0.13
14 0.9502 0.00 0.07 0.00 0.00
15 0.9503 0.00 0.19 0.00 0.03
16 0.9748 0.00 0.18 0.00 -0.09
17 0.9749 0.00 0.24 0.00 -0.04
18 1.0430 0.00 -0.26 0.00 0.40
19 1.0430 0.00 0.02 0.00 0.31
20 1.0431 0.00 -0.01 0.00 -0.00
21 1.0431 0.00 -0.18 0.00 0.07
22 1.0949 0.00 -0.40 0.00 -0.19
23 1.0949 0.00 0.08 0.00 0.11
24 1.0949 0.00 0.10 0.00 0.03
25 1.1630 0.00 0.27 0.00 -0.18
26 2.0179 0.00 -0.14 0.00 -0.10
27 2.0179 0.00 -0.01 0.00 0.04
28 2.0179 0.00 0.11 0.00 0.21
29 2.0618 0.00 0.07 0.00 0.07
30 2.0618 0.00 0.15 0.00 -0.07
31 2.0860 0.00 0.03 0.00 -0.04
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 -0.21
35 2.0888 0.00 0.02 0.00 -0.14
36 2.0888 0.00 0.04 0.00 -0.08
37 2.0888 0.00 -0.01 0.00 -0.03
38 2.0889 0.00 0.08 0.00 0.02
39 2.1487 0.00 -0.06 0.00 0.04
40 2.1487 0.00 0.04 0.00 -0.02
41 2.1487 0.00 0.01 0.00 0.09
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 0.02
45 2.1516 0.00 0.05 0.00 0.08
46 2.1516 0.00 -0.02 0.00 0.02
47 3.0416 0.00 -0.21 0.00 0.01
48 3.0417 0.00 -0.25 0.00 0.03
49 3.0417 0.00 0.10 0.00 0.08
50 3.0609 0.00 0.06 0.00 0.00
51 3.0610 0.00 -0.03 0.00 -0.01
52 3.0610 0.00 0.12 0.00 0.23
53 3.0610 0.00 -0.10 0.00 0.01
54 3.1099 0.00 -0.06 0.00 0.02
55 3.1099 0.00 -0.20 0.00 -0.04
56 3.1100 0.00 -0.08 0.00 -0.15
57 3.2138 0.00 0.06 0.00 -0.00
58 3.2138 0.00 -0.01 0.00 -0.01
59 3.2139 0.00 0.08 0.00 -0.05
60 4.1585 0.00 -0.13 0.00 0.01
61 4.1585 0.00 0.07 0.00 -0.13
62 4.1585 0.00 -0.11 0.00 -0.01
63 4.1586 0.00 0.07 0.00 0.15
64 5.3135 0.00 -0.05 0.00 -0.07
65 5.3136 0.00 -0.02 0.00 -0.10
66 5.3136 0.00 0.16 0.00 0.07
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 19.440 19.441 ecceobj 0.461 0.461 0.461 incobj 19.802 19.802 19.802 qmin 9.625 9.899 9.810 qmax 29.272 28.409 30.237 amean 17.582 18.944 18.883 amin 15.465 18.534 17.285 amax 19.750 19.441 20.402 emean 0.424 0.465 0.454 emin 0.366 0.452 0.408 emax 0.485 0.476 0.491 imean 18.783 17.315 19.104 imin 17.167 16.633 17.160 imax 20.387 18.226 21.517 excite_mean 0.533 0.552 0.560 fracstop 0.007 0.003 0.012 cjmean 3.027 2.929 2.925 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 195.2 273.2 158.8 kozaiamp 177.6 28.9 179.6