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: 20DJ6
# Created Wed Dec 25 02:11:07 2024
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 22
# Arc: 3.97y
# First observation: 2019/04/07
# Last observation: 2023/03/28
Preliminary a, adot, b, bdot, g, gdot:
-0.000041 0.020184 0.000001 -0.000126 0.021890 0.000000
# Chi-squared of fit: 54.76 DOF: 38 RMS: 0.28
# Min/Max residuals: -0.73 0.62
# Exact a, adot, b, bdot, g, gdot:
1.352853E-05 2.004110E-02 -8.927681E-08 -1.250207E-04 2.224704E-02 -1.131803E-03
# Covariance matrix:
7.2925E-13 -3.7369E-13 -1.6317E-15 1.5536E-15 -8.2206E-13 -2.7013E-12
-3.7369E-13 8.5552E-13 2.8386E-15 -5.0912E-15 -3.3464E-13 9.8310E-12
-1.6317E-15 2.8386E-15 2.1213E-13 -7.8177E-14 2.1518E-16 3.3028E-14
1.5536E-15 -5.0912E-15 -7.8177E-14 4.2022E-14 2.7755E-15 -6.2152E-14
-8.2206E-13 -3.3464E-13 2.1518E-16 2.7755E-15 2.3106E-12 -6.0471E-12
-2.7013E-12 9.8310E-12 3.3028E-14 -6.2152E-14 -6.0471E-12 1.2065E-10
# lat0 lon0 xBary yBary zBary JD0
0.302809 -161.948431 0.031211 0.005329 -0.999681 2458580.572391
# Heliocentric elements and errors
Epoch: 2458580.5000 = 2019/04/07
Mean Anomaly: 233.90030 +/- 0.205
Argument of Peri: 273.52167 +/- 0.203
Long of Asc Node: 57.37210 +/- 0.043
Inclination: 0.46715 +/- 0.000
Eccentricity: 0.07750592 +/- 0.0005
Semi-Major Axis: 43.79038704 +/- 0.0110
Time of Perihelion: 2495655.2433 +/- 58.7
Perihelion: 40.39637286 +/- 0.0238
Aphelion: 47.18440122 +/- 0.0246
Period (y) 289.7853 +/- 0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -43.69512536 +/- 0.0029
Ecliptic Y -14.21678719 +/- 0.0010
Ecliptic Z 0.23754683 +/- 0.0000
Ecliptic XDOT 0.00090492 +/- 0.0000
Ecliptic YDOT -0.00230283 +/- 0.0000
Ecliptic ZDOT -0.00001634 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.95038027 +/- 0.0028
Geocenter to KBO 44.94980508 +/- 0.0031
# Hcoef: 7.08
The following table shows the complete astrometric record for 20DJ6. 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 (20DJ6) followed by the observatory code and reference code for the source of the astrometry.
2019 04 07.07159 13 07 03.36 -06 48 01.2 23.4R 20DJ6 W93 C~4iU2 2019 04 07.10118 13 07 03.22 -06 48 00.2 23.1R 20DJ6 W93 C~4iU2 2020 02 28.20986 13 13 43.30 -07 29 11.7 21.3R 20DJ6 W93 C~44Aa 2020 02 28.24544 13 13 43.20 -07 29 11.7 20DJ6 W93 C~44Aa 2020 02 28.28222 13 13 43.07 -07 29 10.8 20DJ6 W93 C~44Aa 2020 03 01.20628 13 13 37.28 -07 28 35.8 20DJ6 W93 C~44Aa 2020 03 01.24589 13 13 37.14 -07 28 34.1 23.3R 20DJ6 W93 C~44Aa 2020 03 01.28328 13 13 37.03 -07 28 33.4 23.0R 20DJ6 W93 C~44Aa 2020 03 03.19854 13 13 31.05 -07 27 56.4 20DJ6 W93 C~44Aa 2020 03 03.23509 13 13 30.89 -07 27 55.9 20DJ6 W93 C~44Aa 2020 03 03.27422 13 13 30.75 -07 27 54.9 23.4R 20DJ6 W93 C~44Aa 2021 03 22.18242 13 16 40.60 -07 47 28.9 23.7R 20DJ6 W93 C~4iU2 2021 03 22.20353 13 16 40.51 -07 47 28.4 23.6R 20DJ6 W93 C~4iU2 2021 03 22.22274 13 16 40.39 -07 47 28.2 23.8R 20DJ6 W93 C~4iU2 2022 03 26.14347 13 20 43.95 -08 12 18.6 23.6R 20DJ6 W93 C~5ahW 2022 03 26.18023 13 20 43.80 -08 12 18.1 24.1R 20DJ6 W93 C~5ahW 2022 03 26.21168 13 20 43.71 -08 12 17.3 20DJ6 W93 C~5ahW 2022 03 28.14190 13 20 35.85 -08 11 30.2 23.6R 20DJ6 W93 C~5ahW 2022 03 28.17563 13 20 35.74 -08 11 29.2 23.2R 20DJ6 W93 C~5ahW 2023 03 28.13990 13 24 55.99 -08 37 47.2 20DJ6 W93 C~7xXX 2023 03 28.18352 13 24 55.77 -08 37 46.2 23.6R 20DJ6 W93 C~7xXX 2023 03 28.22185 13 24 55.64 -08 37 45.7 23.3R 20DJ6 W93 C~7xXX
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 0.15 0.00 0.00
2 0.0001 -2.31 -0.14 0.13 0.14
3 0.8957 6446.84 -0.40 -28.59 0.20
4 0.8958 6445.46 -0.04 -29.15 -0.35
5 0.8959 6443.33 -0.38 -29.05 -0.24
6 0.9011 6350.29 0.52 -29.15 -0.73
7 0.9012 6347.72 -0.05 -28.36 0.07
8 0.9013 6345.94 0.06 -28.33 0.11
9 0.9066 6249.52 0.54 -27.66 0.42
10 0.9067 6247.13 0.06 -28.09 -0.01
11 0.9068 6244.82 -0.20 -27.95 0.14
12 1.9579 9306.09 0.10 -51.93 0.29
13 1.9579 9304.66 0.03 -51.97 0.26
14 1.9580 9302.93 -0.47 -52.45 -0.22
15 2.9680 13227.45 -0.04 -78.26 0.04
16 2.9681 13225.19 0.11 -78.63 -0.31
17 2.9682 13223.64 0.62 -78.39 -0.06
18 2.9735 13097.29 -0.34 -78.31 -0.02
19 2.9736 13095.39 -0.00 -77.99 0.31
20 3.9728 17289.80 0.14 -104.22 0.24
21 3.9729 17286.38 -0.40 -104.50 -0.03
22 3.9730 17284.39 0.14 -104.76 -0.26
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.
20DJ6 quality flag:1 Type: CLASSICAL 7:4EEE SCATNEAR axisobj 43.423 43.457 43.389 ecceobj 0.081 0.080 0.083 incobj 0.464 0.464 0.464 qmin 39.292 39.712 36.662 qmax 48.514 48.034 51.438 amean 43.729 43.727 43.712 amin 43.321 43.364 43.238 amax 44.139 44.106 44.267 emean 0.074 0.077 0.135 emin 0.046 0.063 0.073 emax 0.099 0.089 0.163 imean 1.643 1.593 1.794 imin 0.751 0.755 0.028 imax 2.356 2.252 2.602 excite_mean 0.080 0.082 0.139 fracstop 1.000 1.000 1.000 cjmean 3.090 3.090 3.074 libcent 0 -180.0 182.6 -180.0 libamp 0 -180.0 99.1 -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 189.5 168.9 198.3 kozaiamp 180.0 168.1 179.9