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: 21LL54 # Created Sun Oct 19 01:12:14 2025 # Orbit generated from Bernstein formalism # Fitting 33 observations of 33 # Arc: 3.17y # First observation: 2020/03/21 # Last observation: 2023/05/23 Preliminary a, adot, b, bdot, g, gdot: -0.000039 0.026893 -0.000018 0.003304 0.026493 0.000000 # Chi-squared of fit: 2.08 DOF: 60 RMS: 0.04 # Min/Max residuals: -0.09 0.15 # Exact a, adot, b, bdot, g, gdot: 1.614510E-05 2.654129E-02 1.785356E-06 3.255377E-03 2.617182E-02 5.262231E-04 # Covariance matrix: 4.8712E-13 -3.6206E-13 2.6806E-14 -5.7292E-14 1.7000E-14 -4.0421E-12 -3.6206E-13 9.6732E-13 -1.6471E-13 1.7608E-13 7.0807E-13 1.3493E-11 2.6806E-14 -1.6471E-13 3.1577E-13 -1.8378E-13 -1.4976E-13 -2.4840E-12 -5.7292E-14 1.7608E-13 -1.8378E-13 1.3298E-13 1.2489E-13 2.8027E-12 1.7000E-14 7.0807E-13 -1.4976E-13 1.2489E-13 8.0639E-13 9.9992E-12 -4.0421E-12 1.3493E-11 -2.4840E-12 2.8027E-12 9.9992E-12 2.1299E-10 # lat0 lon0 xBary yBary zBary JD0 17.482192 -119.263236 0.867069 0.150012 -0.476529 2458930.046423 # Heliocentric elements and errors Epoch: 2458930.5000 = 2020/03/22 Mean Anomaly: 350.02310 +/- 1.047 Argument of Peri: 78.01236 +/- 1.110 Long of Asc Node: 173.08342 +/- 0.002 Inclination: 18.73346 +/- 0.000 Eccentricity: 0.02849399 +/- 0.0001 Semi-Major Axis: 39.81566803 +/- 0.0035 Time of Perihelion: 2461473.6537 +/- 266.9 Perihelion: 38.68116077 +/- 0.0054 Aphelion: 40.95017529 +/- 0.0055 Period (y) 251.2402 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -18.81035513 +/- 0.0006 Ecliptic Y -31.81280271 +/- 0.0011 Ecliptic Z 11.47844751 +/- 0.0004 Ecliptic XDOT 0.00245473 +/- 0.0000 Ecliptic YDOT -0.00131102 +/- 0.0000 Ecliptic ZDOT 0.00034112 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.69933634 +/- 0.0010 Geocenter to KBO 38.20903937 +/- 0.0013 # Hcoef: 7.80
The following table shows the complete astrometric record for 21LL54. 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 (21LL54) followed by the observatory code and reference code for the source of the astrometry.
2020 03 21.545622 16 08 39.078 -03 10 25.78 23.9w 21LL54 T14 C~93UB 2020 05 21.477513 16 04 45.354 -02 42 41.40 23.8w 21LL54 T14 C~93UB 2021 04 14.488582 16 13 45.421 -03 04 46.92 23.9w 21LL54 T14 C~93UB 2021 04 14.536162 16 13 45.248 -03 04 45.51 23.6w 21LL54 T14 C~93UB 2021 04 14.570308 16 13 45.115 -03 04 44.49 24.0w 21LL54 T14 C~93UB 2021 04 20.572042 16 13 22.548 -03 01 48.20 23.9w 21LL54 T14 C~93UB 2021 05 14.467564 16 11 34.187 -02 51 50.02 23.8w 21LL54 T14 C~93UB 2021 05 14.494177 16 11 34.051 -02 51 49.51 24.0w 21LL54 T14 C~93UB 2021 06 03.342420 16 09 54.031 -02 46 32.88 23.8w 21LL54 T14 C~93UB 2021 06 03.367760 16 09 53.899 -02 46 32.58 23.8w 21LL54 T14 C~93UB 2021 06 03.393177 16 09 53.770 -02 46 32.22 23.8w 21LL54 T14 C~93UB 2021 06 04.482220 16 09 48.326 -02 46 20.63 23.2w 21LL54 T14 C~93UB 2021 06 08.438899 16 09 28.747 -02 45 43.53 23.9w 21LL54 T14 C~93UB 2021 06 08.464228 16 09 28.627 -02 45 43.40 24.1w 21LL54 T14 C~93UB 2021 06 08.489581 16 09 28.500 -02 45 43.16 24.0w 21LL54 T14 C~93UB 2021 06 11.438248 16 09 14.153 -02 45 21.21 23.4w 21LL54 T14 C~93UB 2021 06 11.463886 16 09 14.031 -02 45 21.07 23.8w 21LL54 T14 C~93UB 2021 07 08.318065 16 07 20.677 -02 45 43.49 23.9w 21LL54 T14 C~93UB 2021 07 11.318329 16 07 10.673 -02 46 10.57 23.8w 21LL54 T14 C~93UB 2022 05 29.167210 16 16 33.323 -02 54 20.46 23.8r 21LL54 269 C~93UB 2022 05 29.170170 16 16 33.312 -02 54 20.38 23.5z 21LL54 269 C~93UB 2022 05 29.173030 16 16 33.293 -02 54 20.37 23.2z 21LL54 269 C~93UB 2022 05 29.177220 16 16 33.272 -02 54 20.34 24.4g 21LL54 269 C~93UB 2022 05 29.181050 16 16 33.250 -02 54 20.27 24.4g 21LL54 269 C~93UB 2022 05 29.184590 16 16 33.233 -02 54 20.22 23.8r 21LL54 269 C~93UB 2022 05 29.187750 16 16 33.214 -02 54 20.23 23.8z 21LL54 269 C~93UB 2022 05 29.190650 16 16 33.203 -02 54 20.16 23.5z 21LL54 269 C~93UB 2022 05 29.193490 16 16 33.189 -02 54 19.97 23.6z 21LL54 269 C~93UB 2022 05 29.197180 16 16 33.167 -02 54 20.05 23.7r 21LL54 269 C~93UB 2022 06 24.441805 16 14 26.279 -02 51 23.07 23.9w 21LL54 T14 C~93UB 2022 06 28.337919 16 14 09.568 -02 51 29.00 23.9w 21LL54 T14 C~93UB 2022 07 22.292667 16 12 48.061 -02 55 06.00 24.1w 21LL54 T14 C~93UB 2023 05 23.436752 16 23 15.360 -03 02 22.09 23.7w 21LL54 T14 C~93UB
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 -0.02 0.00 0.04
2 0.1668 -3759.19 -0.00 949.11 0.02
3 1.0649 4435.95 0.02 1223.40 -0.02
4 1.0650 4433.14 0.03 1224.28 -0.04
5 1.0651 4430.98 -0.09 1224.90 -0.07
6 1.0815 4065.07 0.03 1332.41 -0.05
7 1.1469 2356.18 0.06 1604.50 -0.02
8 1.1470 2354.08 0.04 1604.61 -0.07
9 1.2014 822.49 -0.00 1624.04 -0.05
10 1.2014 820.49 -0.05 1623.95 -0.03
11 1.2015 818.53 -0.06 1623.93 0.05
12 1.2045 736.26 0.03 1619.43 0.00
13 1.2153 441.30 -0.02 1598.76 0.09
14 1.2154 439.51 0.09 1598.54 0.03
15 1.2155 437.59 0.08 1598.40 0.06
16 1.2235 222.47 -0.03 1578.10 0.02
17 1.2236 220.65 0.03 1577.88 -0.00
18 1.2971 -1440.84 -0.05 1225.02 -0.08
19 1.3053 -1582.57 -0.03 1169.22 0.00
20 2.1865 6784.56 -0.01 2324.86 0.02
21 2.1865 6784.38 0.04 2324.90 0.07
22 2.1865 6784.10 -0.01 2324.86 0.03
23 2.1865 6783.79 0.00 2324.83 0.00
24 2.1865 6783.45 -0.03 2324.83 0.01
25 2.1866 6783.19 -0.01 2324.83 0.02
26 2.1866 6782.91 -0.04 2324.77 -0.04
27 2.1866 6782.74 0.01 2324.80 -0.00
28 2.1866 6782.49 -0.01 2324.95 0.15
29 2.1866 6782.19 -0.03 2324.81 0.01
30 2.2584 4881.22 -0.03 2130.82 -0.01
31 2.2691 4636.59 0.01 2076.52 -0.03
32 2.3347 3480.14 0.06 1626.94 -0.03
33 3.1701 12801.99 0.02 3012.22 -0.06
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.
21LL54 quality flag:2 Type: SCATEXTD SCATEXTD SCATNEAR axisobj 39.359 39.371 39.347 ecceobj 0.018 0.018 0.018 incobj 18.767 18.767 18.767 qmin 37.340 37.263 32.908 qmax 42.165 42.140 46.722 amean 39.610 39.627 39.473 amin 39.268 39.291 38.924 amax 39.939 39.954 40.021 emean 0.031 0.030 0.085 emin 0.005 0.005 0.010 emax 0.056 0.056 0.167 imean 18.891 18.903 18.252 imin 17.971 17.992 16.757 imax 19.746 19.758 19.567 excite_mean 0.325 0.325 0.326 fracstop 1.000 1.000 1.000 cjmean 2.929 2.929 2.929 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 180.9 180.0 225.3 kozaiamp 180.0 180.0 180.0