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: 21LL37 # Created Wed Dec 25 02:11:12 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 31 observations of 31 # Arc: 7.95y # First observation: 2014/04/28 # Last observation: 2022/04/08 # Chi-squared of fit: 44.27 DOF: 56 RMS: 0.21 # Min/Max residuals: -0.73 0.72 # Exact a, adot, b, bdot, g, gdot: 9.677769E-06 7.978965E-03 -1.874654E-07 -6.423589E-04 1.358751E-02 -9.642269E-04 # Covariance matrix: 1.9165E-13 -7.8576E-14 -2.9401E-15 4.2626E-15 -7.1292E-14 -8.7853E-13 -7.8576E-14 8.2021E-14 4.0798E-15 -6.0874E-15 1.1475E-13 1.2138E-12 -2.9401E-15 4.0798E-15 1.5119E-13 -2.3892E-14 6.0590E-15 6.4772E-14 4.2626E-15 -6.0874E-15 -2.3892E-14 6.0271E-15 -1.0288E-14 -9.6022E-14 -7.1292E-14 1.1475E-13 6.0590E-15 -1.0288E-14 2.8488E-13 1.7646E-12 -8.7853E-13 1.2138E-12 6.4772E-14 -9.6022E-14 1.7646E-12 1.9290E-11 # lat0 lon0 xBary yBary zBary JD0 -8.917986 -132.554588 0.168816 -0.153749 -0.980432 2456775.711398 # Heliocentric elements and errors Epoch: 2456776.5000 = 2014/04/29 Mean Anomaly: 204.71249 +/- 0.063 Argument of Peri: 50.03114 +/- 0.057 Long of Asc Node: 344.93481 +/- 0.003 Inclination: 9.91058 +/- 0.000 Eccentricity: 0.35481851 +/- 0.0001 Semi-Major Axis: 55.78663571 +/- 0.0067 Time of Perihelion: 2522425.4401 +/- 30.8 Perihelion: 35.99250488 +/- 0.0064 Aphelion: 75.58076654 +/- 0.0102 Period (y) 416.6808 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -49.96804615 +/- 0.0019 Ecliptic Y -54.17404816 +/- 0.0021 Ecliptic Z -11.40904754 +/- 0.0004 Ecliptic XDOT 0.00132228 +/- 0.0000 Ecliptic YDOT -0.00093455 +/- 0.0000 Ecliptic ZDOT -0.00009762 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 74.57755464 +/- 0.0020 Geocenter to KBO 73.59712296 +/- 0.0029 # Hcoef: 4.00
The following table shows the complete astrometric record for 21LL37. 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 (21LL37) followed by the observatory code and reference code for the source of the astrometry.
2014 04 28.210620 14 48 50.29 -25 34 32.3 21LL37 W84 C~5fvn 2014 04 28.224168 14 48 50.26 -25 34 32.1 21LL37 W84 C~5fvn 2014 04 29.211720 14 48 47.25 -25 34 21.1 21LL37 W84 C~5fvn 2014 04 29.224482 14 48 47.22 -25 34 20.7 21LL37 W84 C~5fvn 2014 05 02.278392 14 48 37.87 -25 33 45.9 21LL37 W84 C~5fvn 2014 05 02.291112 14 48 37.83 -25 33 45.8 21LL37 W84 C~5fvn 2015 05 19.968823 14 49 38.21 -25 40 20.5 21LL37 W84 C~5fvn 2015 05 23.967630 14 49 26.44 -25 39 25.9 21LL37 W84 C~5fvn 2016 07 18.087871 14 49 27.45 -25 37 35.7 21LL37 W84 C~5fvn 2017 04 06.143745 14 55 35.91 -26 08 08.0 22.6z 21LL37 W84 C~5fvn 2017 04 07.204305 14 55 33.10 -26 08 01.2 22.5z 21LL37 W84 C~5fvn 2017 04 07.205838 14 55 33.11 -26 08 01.4 22.7z 21LL37 W84 C~5fvn 2017 04 07.341986 14 55 32.73 -26 08 00.6 22.6r 21LL37 W84 C~5fvn 2017 04 07.343183 14 55 32.73 -26 08 00.7 23.0g 21LL37 W84 C~5fvn 2019 05 13.227447 14 57 39.38 -26 22 23.1 22.6i 21LL37 W84 C~5fvn 2019 06 07.173322 14 56 26.32 -26 16 49.4 23.2g 21LL37 W84 C~5fvn 2019 08 18.028231 14 55 08.92 -26 04 20.2 22.8r 21LL37 W84 C~5fvn 2021 03 14.236335 15 04 10.91 -26 48 34.7 23.4g 21LL37 W84 C~5fvn 2021 03 14.256794 15 04 10.88 -26 48 34.7 23.4g 21LL37 W84 C~5fvn 2021 06 12.97884 15 00 02.642 -26 35 20.18 22.8r 21LL37 W84 C~5fvn 2021 06 13.10750 15 00 02.336 -26 35 18.81 22.8r 21LL37 W84 C~5fvn 2021 07 12.06152 14 59 06.670 -26 29 04.41 22.8r 21LL37 304 C~5fvn 2021 07 12.21407 14 59 06.464 -26 29 02.54 22.9r 21LL37 304 C~5fvn 2021 07 13.98305 14 59 04.355 -26 28 42.93 22.8r 21LL37 304 C~5fvn 2021 07 14.11785 14 59 04.204 -26 28 41.36 22.8r 21LL37 304 C~5fvn 2021 09 02.98516 14 59 17.981 -26 23 31.06 22.2r 21LL37 304 C~5fvn 2021 09 03.02605 14 59 18.038 -26 23 31.23 22.1r 21LL37 304 C~5fvn 2022 03 07.32761 15 06 18.252 -26 57 57.24 22.5G 21LL37 304 C~5fvn 2022 03 07.39268 15 06 18.161 -26 57 57.62 21LL37 304 C~5fvn 2022 04 08.22934 15 05 14.251 -26 57 15.15 22.3r 21LL37 304 C~5fvn 2022 04 08.33152 15 05 13.963 -26 57 14.50 22.1r 21LL37 304 C~5fvn
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 -0.12 0.00 -0.09
2 0.0000 0.00 0.05 0.00 -0.04
3 0.0027 0.00 0.01 0.00 -0.02
4 0.0028 0.00 0.15 0.00 0.24
5 0.0111 0.00 -0.04 0.00 0.07
6 0.0112 0.00 -0.05 0.00 0.02
7 1.0589 0.00 -0.01 0.00 0.01
8 1.0698 0.00 0.19 0.00 -0.03
9 2.2228 0.00 -0.21 0.00 -0.51
10 2.9403 0.00 0.07 0.00 -0.09
11 2.9432 0.00 -0.05 0.00 0.25
12 2.9432 0.00 0.16 0.00 0.04
13 2.9435 0.00 -0.01 0.00 -0.01
14 2.9436 0.00 0.03 0.00 -0.12
15 5.0404 0.00 0.19 0.00 0.12
16 5.1087 0.00 -0.73 0.00 0.30
17 5.3055 0.00 -0.19 0.00 0.15
18 6.8776 0.00 -0.03 0.00 0.05
19 6.8776 0.00 0.04 0.00 0.07
20 7.1260 0.00 0.38 0.00 -0.21
21 7.1263 0.00 0.72 0.00 -0.60
22 7.2056 0.00 0.09 0.00 0.09
23 7.2060 0.00 -0.08 0.00 0.18
24 7.2109 0.00 -0.13 0.00 -0.15
25 7.2112 0.00 0.01 0.00 -0.09
26 7.3505 0.00 -0.04 0.00 0.19
27 7.3506 0.00 -0.20 0.00 0.01
28 7.8580 0.00 -0.15 0.00 0.08
29 7.8581 0.00 -0.25 0.00 -0.11
30 7.9453 0.00 0.16 0.00 0.06
31 7.9456 0.00 -0.02 0.00 0.15
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.
21LL37 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 55.561 55.561 55.561 ecceobj 0.361 0.361 0.361 incobj 9.945 9.945 9.945 qmin 35.205 35.205 35.205 qmax 77.633 77.457 77.508 amean 55.871 55.874 55.873 amin 55.105 55.110 55.120 amax 56.672 56.664 56.671 emean 0.353 0.354 0.354 emin 0.338 0.339 0.340 emax 0.370 0.369 0.368 imean 10.733 10.732 10.733 imin 9.803 9.807 9.803 imax 11.594 11.594 11.595 excite_mean 0.400 0.400 0.400 fracstop 1.000 1.000 1.000 cjmean 3.042 3.042 3.042 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 182.3 182.7 182.7 kozaiamp 180.0 180.0 180.0