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: 21GU122 # Created Wed Dec 25 02:11:12 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 29 observations of 29 # Arc: 6.09y # First observation: 2017/02/21 # Last observation: 2023/03/28 # Chi-squared of fit: 29.52 DOF: 52 RMS: 0.18 # Min/Max residuals: -0.38 0.44 # Exact a, adot, b, bdot, g, gdot: 1.830304E-05 2.657039E-02 2.799775E-06 5.396404E-03 2.439399E-02 -2.312572E-03 # Covariance matrix: 4.9015E-13 -5.2380E-14 1.9034E-15 -8.5526E-16 3.6418E-13 -1.5684E-14 -5.2380E-14 3.1158E-13 -4.8138E-14 5.9410E-14 5.5590E-13 1.8980E-12 1.9034E-15 -4.8138E-14 3.1148E-13 -7.7885E-14 -8.3195E-14 -3.1435E-13 -8.5526E-16 5.9410E-14 -7.7885E-14 3.0424E-14 1.0536E-13 3.8702E-13 3.6418E-13 5.5590E-13 -8.3195E-14 1.0536E-13 1.6558E-12 3.3870E-12 -1.5684E-14 1.8980E-12 -3.1435E-13 3.8702E-13 3.3870E-12 1.2357E-11 # lat0 lon0 xBary yBary zBary JD0 -1.258847 -166.445399 0.648424 -0.016232 -0.745574 2457806.041240 # Heliocentric elements and errors Epoch: 2457806.5000 = 2017/02/22 Mean Anomaly: 349.02006 +/- 0.012 Argument of Peri: 16.92322 +/- 0.023 Long of Asc Node: 198.74831 +/- 0.000 Inclination: 11.51655 +/- 0.000 Eccentricity: 0.33577922 +/- 0.0002 Semi-Major Axis: 61.58366814 +/- 0.0202 Time of Perihelion: 2463190.3638 +/- 84.5 Perihelion: 40.90515189 +/- 0.0184 Aphelion: 82.26218438 +/- 0.0298 Period (y) 483.2886 +/- 0.24 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -40.72230298 +/- 0.0021 Ecliptic Y -9.15488466 +/- 0.0005 Ecliptic Z -0.90048553 +/- 0.0001 Ecliptic XDOT 0.00094138 +/- 0.0000 Ecliptic YDOT -0.00284802 +/- 0.0000 Ecliptic ZDOT 0.00061115 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.74847056 +/- 0.0021 Geocenter to KBO 40.99379377 +/- 0.0022 # Hcoef: 7.47
The following table shows the complete astrometric record for 21GU122. 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 (21GU122) followed by the observatory code and reference code for the source of the astrometry.
2017 02 21.540439 12 47 55.328 -06 30 32.90 23.5G 21GU122 F51 C~5XzB 2017 03 19.377879 12 46 19.016 -06 19 25.63 21GU122 F51 C~5XzB 2017 03 27.483903 12 45 44.316 -06 15 22.96 23.4G 21GU122 F51 C~5XzB 2018 03 18.422267 12 52 35.377 -06 38 36.94 23.3G 21GU122 F51 C~5XzB 2019 04 03.402782 12 57 41.274 -06 49 11.44 23.3G 21GU122 F51 C~5XzB 2019 04 06.347727 12 57 28.334 -06 47 41.01 23.4G 21GU122 F51 C~5XzB 2019 04 25.319898 12 56 06.977 -06 38 07.83 23.1G 21GU122 F51 C~5XzB 2021 04 05.11569 13 10 04.24 -07 24 10.4 23.9R 21GU122 W93 C~4qrl 2021 04 05.13503 13 10 04.13 -07 24 10.2 24.0R 21GU122 W93 C~4qrl 2021 04 05.15227 13 10 04.05 -07 24 09.8 24.1R 21GU122 W93 C~4qrl 2021 04 05.16966 13 10 03.97 -07 24 08.9 23.6R 21GU122 W93 C~4qrl 2021 04 05.18715 13 10 03.91 -07 24 08.5 23.5R 21GU122 W93 C~4qrl 2021 04 10.464605 13 09 40.531 -07 21 28.37 23.2G 21GU122 F51 C~5XzB 2021 04 12.08818 13 09 33.36 -07 20 38.9 21GU122 W93 C~4qrl 2021 04 12.14765 13 09 33.11 -07 20 36.9 21GU122 W93 C~4qrl 2021 04 12.16501 13 09 33.03 -07 20 36.6 21GU122 W93 C~4qrl 2021 04 14.443954 13 09 22.952 -07 19 27.77 23.2G 21GU122 F51 C~5XzB 2021 05 08.349953 13 07 44.198 -07 08 03.33 23.4G 21GU122 F51 C~5XzB 2021 05 08.360918 13 07 44.162 -07 08 03.27 23.0G 21GU122 F51 C~5XzB 2021 05 08.382868 13 07 44.082 -07 08 02.55 22.8G 21GU122 F51 C~5XzB 2021 05 14.323191 13 07 22.893 -07 05 32.64 22.9G 21GU122 F51 C~5XzB 2022 03 30.13076 13 16 50.36 -07 44 53.8 23.0R 21GU122 W93 C~5XzB 2022 03 30.16581 13 16 50.23 -07 44 52.9 22.7R 21GU122 W93 C~5XzB 2022 03 30.20301 13 16 50.06 -07 44 51.8 23.2R 21GU122 W93 C~5XzB 2022 04 01.13530 13 16 41.62 -07 43 54.3 23.0R 21GU122 W93 C~5XzB 2022 04 01.16679 13 16 41.50 -07 43 53.6 21GU122 W93 C~5XzB 2023 03 28.13990 13 23 20.35 -08 03 15.9 21GU122 W93 C~7xYf 2023 03 28.18352 13 23 20.19 -08 03 14.7 23.7R 21GU122 W93 C~7xYf 2023 03 28.22185 13 23 20.05 -08 03 13.8 21GU122 W93 C~7xYf
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 0.22
2 0.0707 0.00 -0.26 0.00 0.04
3 0.0929 0.00 0.17 0.00 -0.10
4 1.0674 0.00 0.20 0.00 -0.08
5 2.1105 0.00 -0.01 0.00 -0.15
6 2.1186 0.00 0.05 0.00 -0.03
7 2.1705 0.00 0.16 0.00 -0.05
8 4.1166 0.00 0.29 0.00 0.33
9 4.1166 0.00 -0.06 0.00 -0.05
10 4.1167 0.00 -0.10 0.00 -0.18
11 4.1167 0.00 -0.13 0.00 0.20
12 4.1168 0.00 0.15 0.00 0.07
13 4.1312 0.00 -0.10 0.00 -0.00
14 4.1357 0.00 -0.07 0.00 -0.07
15 4.1358 0.00 0.18 0.00 0.13
16 4.1359 0.00 0.15 0.00 -0.09
17 4.1421 0.00 -0.14 0.00 -0.18
18 4.2076 0.00 -0.18 0.00 -0.05
19 4.2076 0.00 -0.10 0.00 -0.28
20 4.2076 0.00 -0.05 0.00 -0.13
21 4.2239 0.00 -0.06 0.00 0.15
22 5.0995 0.00 -0.04 0.00 0.26
23 5.0996 0.00 0.32 0.00 0.13
24 5.0997 0.00 0.23 0.00 0.13
25 5.1050 0.00 -0.37 0.00 0.21
26 5.1051 0.00 -0.07 0.00 -0.03
27 6.0934 0.00 -0.38 0.00 -0.02
28 6.0935 0.00 0.05 0.00 -0.09
29 6.0936 0.00 0.44 0.00 -0.30
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.
21GU122 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 60.455 60.455 60.455 ecceobj 0.323 0.323 0.323 incobj 11.577 11.577 11.577 qmin 40.059 40.058 40.064 qmax 82.814 82.766 82.853 amean 60.934 60.933 60.934 amin 60.286 60.262 60.270 amax 61.744 61.732 61.775 emean 0.329 0.329 0.329 emin 0.318 0.319 0.318 emax 0.341 0.341 0.341 imean 11.561 11.561 11.561 imin 11.237 11.242 11.243 imax 11.937 11.938 11.938 excite_mean 0.385 0.385 0.385 fracstop 1.000 1.000 1.000 cjmean 3.126 3.126 3.126 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 169.5 169.5 169.5 kozaiamp 179.9 179.9 179.9