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: 20PA7 # Created Sun Dec 22 02:11:14 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 81 observations of 81 # Arc: 3.31y # First observation: 2018/06/13 # Last observation: 2021/10/03 # Chi-squared of fit: 100.10 DOF: 156 RMS: 0.20 # Min/Max residuals: -0.83 0.54 # Exact a, adot, b, bdot, g, gdot: 3.920767E-05 3.144712E-01 6.277219E-06 5.121655E-02 1.227746E-01 -3.041263E-02 # Covariance matrix: 4.1011E-13 8.1894E-13 -6.0948E-14 3.9120E-13 7.6929E-13 4.6355E-12 8.1894E-13 2.2529E-11 -9.3490E-13 5.6982E-12 7.4530E-12 6.8164E-11 -6.0948E-14 -9.3490E-13 2.4194E-13 -1.1847E-12 -4.1619E-13 -4.7962E-12 3.9120E-13 5.6982E-12 -1.1847E-12 8.6965E-12 2.5450E-12 2.8689E-11 7.6929E-13 7.4530E-12 -4.1619E-13 2.5450E-12 3.4376E-12 3.0426E-11 4.6355E-12 6.8164E-11 -4.7962E-12 2.8689E-11 3.0426E-11 3.4441E-10 # lat0 lon0 xBary yBary zBary JD0 -1.555024 -58.441695 0.639635 -0.021146 -0.779719 2458283.030764 # Heliocentric elements and errors Epoch: 2458282.5000 = 2018/06/13 Mean Anomaly: 353.64486 +/- 0.000 Argument of Peri: 17.73609 +/- 0.000 Long of Asc Node: 306.05660 +/- 0.000 Inclination: 9.34940 +/- 0.001 Eccentricity: 0.55993976 +/- 0.0000 Semi-Major Axis: 19.58004502 +/- 0.0000 Time of Perihelion: 2458841.1523 +/- 0.0 Perihelion: 8.61639927 +/- 0.0000 Aphelion: 30.54369077 +/- 0.0000 Period (y) 86.6421 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 4.12395967 +/- 0.0000 Ecliptic Y -7.94397211 +/- 0.0000 Ecliptic Z -0.22090601 +/- 0.0000 Ecliptic XDOT 0.00564395 +/- 0.0000 Ecliptic YDOT 0.00421762 +/- 0.0000 Ecliptic ZDOT 0.00115993 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 8.95340748 +/- 0.0000 Geocenter to KBO 8.14506086 +/- 0.0000 # Hcoef: 13.13
The following table shows the complete astrometric record for 20PA7. 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 (20PA7) followed by the observatory code and reference code for the source of the astrometry.
2018 06 13.529963 20 16 40.653 -21 19 44.22 23.1G 20PA7 F51 C~55jG 2018 06 13.554122 20 16 40.343 -21 19 44.29 22.8G 20PA7 F51 C~55jG 2018 06 13.566205 20 16 40.216 -21 19 44.92 22.7G 20PA7 F51 C~55jG 2018 07 09.490347 20 10 16.870 -21 28 58.01 22.2G 20PA7 F51 C~55jG 2018 07 09.512429 20 10 16.476 -21 28 58.13 22.6G 20PA7 F51 C~55jG 2018 08 05.344527 20 02 04.364 -21 39 40.53 22.4G 20PA7 F51 C~55jG 2018 08 05.355818 20 02 04.164 -21 39 41.12 22.9G 20PA7 F51 C~55jG 2018 08 08.371321 20 01 11.397 -21 40 33.06 22.8G 20PA7 F51 C~55jG 2018 08 08.381046 20 01 11.217 -21 40 32.70 22.7G 20PA7 F51 C~55jG 2018 08 08.390769 20 01 11.055 -21 40 33.03 22.2G 20PA7 F51 C~55jG 2018 08 13.383115 19 59 47.274 -21 41 44.97 22.8G 20PA7 F51 C~55jG 2018 08 13.394792 19 59 47.076 -21 41 45.08 22.4G 20PA7 F51 C~55jG 2018 08 13.406472 19 59 46.871 -21 41 45.06 22.5G 20PA7 F51 C~55jG 2018 08 13.418145 19 59 46.685 -21 41 45.20 22.4G 20PA7 F51 C~55jG 2019 06 01.568913 21 28 04.704 -13 32 42.87 22.0G 20PA7 F52 C~55jG 2019 06 01.590894 21 28 04.763 -13 32 41.62 22.8G 20PA7 F52 C~55jG 2019 07 04.508885 21 25 09.712 -13 24 20.00 22.1G 20PA7 F51 C~55jG 2019 07 04.520631 21 25 09.587 -13 24 20.02 22.4G 20PA7 F51 C~55jG 2019 07 07.524828 21 24 33.528 -13 25 10.70 22.7G 20PA7 F51 C~55jG 2019 07 07.535890 21 24 33.385 -13 25 10.78 23.3G 20PA7 F51 C~55jG 2019 09 23.314447 21 04 47.544 -14 15 39.17 22.3G 20PA7 F51 C~55jG 2019 09 23.325116 21 04 47.472 -14 15 39.50 22.5G 20PA7 F51 C~55jG 2019 09 23.335806 21 04 47.356 -14 15 39.55 22.2G 20PA7 F51 C~55jG 2020 07 17.547155 22 31 58.426 -04 06 00.89 23.3G 20PA7 F52 C~44BH 2020 07 28.523762 22 29 51.962 -04 08 54.41 22.2G 20PA7 F51 C~44BH 2020 07 28.537046 22 29 51.783 -04 08 54.76 22.7G 20PA7 F51 C~44BH 2020 07 28.550334 22 29 51.587 -04 08 55.00 22.9G 20PA7 F51 C~44BH 2020 08 09.465041 22 26 59.192 -04 16 37.10 21.0G 20PA7 F52 C~44BH 2020 08 09.478122 22 26 58.959 -04 16 38.50 21.0G 20PA7 F52 C~44BH 2020 08 09.491220 22 26 58.749 -04 16 38.39 21.4G 20PA7 F52 C~44BH 2020 08 13.40936 22 25 56.157 -04 20 03.88 22.5w 20PA7 F51 C~44BH 2020 08 13.42112 22 25 55.958 -04 20 04.61 22.4w 20PA7 F51 C~44BH 2020 08 13.43284 22 25 55.762 -04 20 04.91 22.6w 20PA7 F51 C~44BH 2020 08 13.44458 22 25 55.552 -04 20 05.74 22.3w 20PA7 F51 C~44BH 2020 08 19.426490 22 24 16.186 -04 26 00.25 22.2w 20PA7 F51 C~44BH 2020 08 19.438432 22 24 15.990 -04 26 00.78 22.1w 20PA7 F51 C~44BH 2020 08 19.450339 22 24 15.780 -04 26 01.64 22.4w 20PA7 F51 C~44BH 2020 08 19.462328 22 24 15.580 -04 26 02.42 22.6w 20PA7 F51 C~44BH 2020 08 21.443529 22 23 41.993 -04 28 09.39 22.4G 20PA7 F51 C~44BH 2020 08 21.519056 22 23 40.658 -04 28 14.30 22.1G 20PA7 F51 C~44BH 2020 08 21.585341 22 23 39.482 -04 28 19.32 21.1G 20PA7 F51 C~44BH 2020 08 22.355313 22 23 26.488 -04 29 08.72 21.0G 20PA7 F51 C~44BH 2020 08 22.367111 22 23 26.277 -04 29 09.90 21.4G 20PA7 F51 C~44BH 2020 08 22.378919 22 23 26.069 -04 29 10.54 21.7G 20PA7 F51 C~44BH 2020 08 22.390729 22 23 25.861 -04 29 11.35 21.7G 20PA7 F51 C~44BH 2020 08 23.414682 22 23 08.362 -04 30 19.54 22.3G 20PA7 F52 C~44BH 2020 08 23.424991 22 23 08.203 -04 30 20.27 22.5G 20PA7 F52 C~44BH 2020 08 23.430228 22 23 08.093 -04 30 20.51 22.8w 20PA7 F51 C~44BH 2020 08 23.444336 22 23 07.837 -04 30 21.36 22.4w 20PA7 F51 C~44BH 2020 08 23.458796 22 23 07.586 -04 30 22.38 22.6w 20PA7 F51 C~44BH 2020 08 23.473322 22 23 07.332 -04 30 23.46 22.8w 20PA7 F51 C~44BH 2020 10 11.285411 22 11 41.607 -05 24 59.06 23.3G 20PA7 F51 C~55jG 2020 12 06.223578 22 15 25.478 -05 14 07.10 22.8G 20PA7 F51 C~55jG 2020 12 06.235208 22 15 25.652 -05 14 06.05 22.7G 20PA7 F51 C~55jG 2020 12 06.246865 22 15 25.841 -05 14 05.01 22.8G 20PA7 F51 C~55jG 2020 12 06.258492 22 15 25.977 -05 14 04.44 23.4G 20PA7 F51 C~55jG 2021 05 19.599227 23 27 43.008 +03 02 58.38 23.8G 20PA7 F51 C~55jG 2021 07 18.533870 23 35 09.038 +04 56 53.43 21.9G 20PA7 F51 C~55jG 2021 07 18.558546 23 35 08.982 +04 56 54.32 23.0G 20PA7 F51 C~55jG 2021 07 18.570975 23 35 08.931 +04 56 54.58 23.0G 20PA7 F51 C~55jG 2021 08 08.341820 23 32 29.853 +05 01 32.60 22.7G 20PA7 G37 C~55jG 2021 08 08.390780 23 32 29.300 +05 01 31.90 20PA7 G37 C~55jG 2021 08 08.436620 23 32 28.773 +05 01 31.25 20PA7 G37 C~55jG 2021 08 13.526933 23 31 28.781 +04 59 46.37 22.6G 20PA7 F51 C~55jG 2021 09 07.449889 23 25 17.915 +04 37 28.51 22.2G 20PA7 F51 C~55jG 2021 09 07.460975 23 25 17.752 +04 37 28.03 22.4G 20PA7 F51 C~55jG 2021 09 07.472066 23 25 17.550 +04 37 26.97 22.9G 20PA7 F51 C~55jG 2021 09 07.483189 23 25 17.394 +04 37 25.90 22.3G 20PA7 F51 C~55jG 2021 09 12.334615 23 23 57.238 +04 30 59.34 22.0G 20PA7 F51 C~55jG 2021 09 12.346021 23 23 57.050 +04 30 58.54 22.1G 20PA7 F51 C~55jG 2021 09 13.344795 23 23 40.498 +04 29 35.52 23.1G 20PA7 F51 C~55jG 2021 09 13.356595 23 23 40.290 +04 29 34.59 22.4G 20PA7 F51 C~55jG 2021 09 13.368344 23 23 40.104 +04 29 33.64 22.7G 20PA7 F51 C~55jG 2021 09 13.380082 23 23 39.891 +04 29 32.57 22.3G 20PA7 F51 C~55jG 2021 09 30.290883 23 19 08.702 +04 04 11.54 22.1G 20PA7 F51 C~55jG 2021 09 30.303172 23 19 08.484 +04 04 10.55 22.1G 20PA7 F51 C~55jG 2021 09 30.315470 23 19 08.293 +04 04 09.46 22.5G 20PA7 F51 C~55jG 2021 09 30.327774 23 19 08.115 +04 04 08.40 21.9G 20PA7 F51 C~55jG 2021 10 03.134170 23 18 26.498 +03 59 46.10 22.3G 20PA7 G37 C~55jG 2021 10 03.187240 23 18 25.707 +03 59 41.27 20PA7 G37 C~55jG 2021 10 03.240210 23 18 24.913 +03 59 36.27 20PA7 G37 C~55jG
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 0.26 0.00 0.12
2 0.0001 0.00 -0.24 0.00 0.37
3 0.0001 0.00 -0.07 0.00 -0.10
4 0.0711 0.00 -0.08 0.00 -0.28
5 0.0711 0.00 0.02 0.00 0.17
6 0.1446 0.00 -0.08 0.00 0.12
7 0.1446 0.00 -0.00 0.00 -0.26
8 0.1529 0.00 0.14 0.00 -0.12
9 0.1529 0.00 0.03 0.00 0.40
10 0.1529 0.00 0.18 0.00 0.22
11 0.1666 0.00 0.06 0.00 -0.23
12 0.1666 0.00 0.01 0.00 -0.19
13 0.1667 0.00 -0.13 0.00 -0.03
14 0.1667 0.00 0.01 0.00 -0.04
15 0.9666 0.00 -0.54 0.00 -0.21
16 0.9666 0.00 -0.00 0.00 0.02
17 1.0568 0.00 -0.29 0.00 -0.19
18 1.0568 0.00 -0.06 0.00 -0.04
19 1.0650 0.00 0.12 0.00 -0.05
20 1.0650 0.00 0.12 0.00 0.08
21 1.2780 0.00 -0.22 0.00 0.19
22 1.2780 0.00 0.12 0.00 0.05
23 1.2780 0.00 -0.20 0.00 0.19
24 2.0945 0.00 0.15 0.00 0.10
25 2.1246 0.00 0.11 0.00 -0.12
26 2.1246 0.00 0.12 0.00 -0.11
27 2.1246 0.00 -0.12 0.00 0.02
28 2.1572 0.00 0.53 0.00 0.54
29 2.1573 0.00 0.20 0.00 -0.21
30 2.1573 0.00 0.21 0.00 0.54
31 2.1680 0.00 0.12 0.00 -0.07
32 2.1681 0.00 0.08 0.00 -0.14
33 2.1681 0.00 0.08 0.00 0.20
34 2.1681 0.00 -0.13 0.00 0.02
35 2.1845 0.00 -0.13 0.00 -0.12
36 2.1846 0.00 0.03 0.00 0.10
37 2.1846 0.00 -0.02 0.00 -0.01
38 2.1846 0.00 0.10 0.00 -0.03
39 2.1900 0.00 0.20 0.00 -0.11
40 2.1903 0.00 -0.05 0.00 -0.11
41 2.1904 0.00 -0.40 0.00 -0.83
42 2.1925 0.00 0.12 0.00 0.31
43 2.1926 0.00 0.05 0.00 -0.09
44 2.1926 0.00 0.02 0.00 0.05
45 2.1926 0.00 -0.00 0.00 0.02
46 2.1954 0.00 0.03 0.00 -0.06
47 2.1955 0.00 0.36 0.00 -0.10
48 2.1955 0.00 0.09 0.00 0.01
49 2.1955 0.00 -0.03 0.00 0.11
50 2.1956 0.00 0.01 0.00 0.05
51 2.1956 0.00 0.02 0.00 -0.05
52 2.3292 0.00 -0.13 0.00 -0.10
53 2.4824 0.00 -0.14 0.00 -0.24
54 2.4824 0.00 -0.17 0.00 -0.08
55 2.4825 0.00 0.02 0.00 0.07
56 2.4825 0.00 -0.59 0.00 -0.25
57 2.9324 0.00 -0.05 0.00 -0.00
58 3.0965 0.00 -0.71 0.00 -0.06
59 3.0966 0.00 0.08 0.00 -0.19
60 3.0966 0.00 0.13 0.00 -0.44
61 3.1535 0.00 -0.07 0.00 0.01
62 3.1536 0.00 0.01 0.00 -0.01
63 3.1537 0.00 -0.03 0.00 -0.01
64 3.1677 0.00 -0.28 0.00 0.04
65 3.2359 0.00 -0.29 0.00 0.02
66 3.2360 0.00 0.07 0.00 0.39
67 3.2360 0.00 -0.15 0.00 0.18
68 3.2360 0.00 0.32 0.00 -0.04
69 3.2493 0.00 0.02 0.00 -0.20
70 3.2493 0.00 0.09 0.00 -0.06
71 3.2521 0.00 0.03 0.00 0.01
72 3.2521 0.00 -0.09 0.00 0.07
73 3.2521 0.00 0.11 0.00 0.10
74 3.2522 0.00 -0.10 0.00 0.01
75 3.2985 0.00 0.33 0.00 -0.02
76 3.2985 0.00 -0.09 0.00 0.13
77 3.2985 0.00 -0.10 0.00 0.19
78 3.2986 0.00 0.08 0.00 0.27
79 3.3062 0.00 -0.01 0.00 -0.08
80 3.3064 0.00 -0.02 0.00 0.02
81 3.3065 0.00 -0.07 0.00 -0.05
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.
20PA7 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 19.490 19.490 19.490 ecceobj 0.560 0.560 0.560 incobj 9.317 9.317 9.317 qmin 8.333 8.324 8.341 qmax 30.406 30.406 30.406 amean 18.717 18.300 18.997 amin 18.182 17.063 18.230 amax 19.490 19.490 19.490 emean 0.548 0.537 0.551 emin 0.536 0.507 0.542 emax 0.560 0.561 0.560 imean 11.519 11.788 10.896 imin 10.824 10.824 10.824 imax 12.487 12.660 11.118 excite_mean 0.584 0.575 0.582 fracstop 0.001 0.001 0.000 cjmean 2.901 2.935 2.888 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 29.1 34.4 27.5 kozaiamp 9.7 15.6 8.2