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: 21LK54 # Created Sun Oct 19 01:12:14 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 41 observations of 41 # Arc: 6.39y # First observation: 2017/01/27 # Last observation: 2023/06/19 # Chi-squared of fit: 2.40 DOF: 76 RMS: 0.04 # Min/Max residuals: -0.19 0.09 # Exact a, adot, b, bdot, g, gdot: 1.891103E-05 3.879747E-02 -5.208150E-06 -1.083633E-02 3.220992E-02 9.573870E-04 # Covariance matrix: 6.8221E-13 -3.1913E-13 -6.8497E-14 6.4362E-14 -1.6535E-13 -8.8242E-13 -3.1913E-13 2.3204E-13 5.2158E-14 -5.7372E-14 1.9295E-13 7.6324E-13 -6.8497E-14 5.2158E-14 4.1736E-13 -9.5992E-14 2.0596E-14 2.0497E-13 6.4362E-14 -5.7372E-14 -9.5992E-14 3.3621E-14 -5.0154E-14 -2.0593E-13 -1.6535E-13 1.9295E-13 2.0596E-14 -5.0154E-14 2.9663E-13 6.0165E-13 -8.8242E-13 7.6324E-13 2.0497E-13 -2.0593E-13 6.0165E-13 2.7861E-12 # lat0 lon0 xBary yBary zBary JD0 17.999624 -126.260010 0.946121 -0.085706 0.264304 2457781.159049 # Heliocentric elements and errors Epoch: 2457780.5000 = 2017/01/27 Mean Anomaly: 358.92982 +/- 0.008 Argument of Peri: 130.06539 +/- 0.013 Long of Asc Node: 101.14557 +/- 0.000 Inclination: 23.39357 +/- 0.000 Eccentricity: 0.22570341 +/- 0.0000 Semi-Major Axis: 39.77691926 +/- 0.0029 Time of Perihelion: 2458052.8962 +/- 10.1 Perihelion: 30.79913311 +/- 0.0028 Aphelion: 48.75470540 +/- 0.0040 Period (y) 250.8736 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -18.06511687 +/- 0.0003 Ecliptic Y -23.02961628 +/- 0.0004 Ecliptic Z 9.59348959 +/- 0.0002 Ecliptic XDOT 0.00244790 +/- 0.0000 Ecliptic YDOT -0.00224909 +/- 0.0000 Ecliptic ZDOT -0.00085092 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.80173577 +/- 0.0004 Geocenter to KBO 31.04633939 +/- 0.0005 # Hcoef: 8.69
The following table shows the complete astrometric record for 21LK54. 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 (21LK54) followed by the observatory code and reference code for the source of the astrometry.
2017 01 27.658248 15 43 02.834 -01 14 02.18 23.5r 21LK54 T14 C~93UA 2017 01 27.660161 15 43 02.838 -01 14 02.13 23.3r 21LK54 T14 C~93UA 2020 03 04.622224 16 08 47.051 -04 24 51.28 23.9w 21LK54 T14 C~93UA 2020 03 21.473075 16 08 30.905 -04 17 17.23 24.0w 21LK54 T14 C~93UA 2020 03 21.532905 16 08 30.775 -04 17 15.61 23.7w 21LK54 T14 C~93UB 2020 05 19.479548 16 03 53.194 -03 53 48.84 23.4w 21LK54 T14 C~93UB 2020 05 19.504834 16 03 53.033 -03 53 48.42 23.7w 21LK54 T14 C~93UB 2020 05 19.530225 16 03 52.870 -03 53 48.18 23.8w 21LK54 T14 C~93UB 2020 05 19.555737 16 03 52.698 -03 53 47.85 24.1w 21LK54 T14 C~93UB 2020 05 21.464636 16 03 40.695 -03 53 23.78 23.5w 21LK54 T14 C~93UB 2021 04 09.536947 16 15 55.282 -05 17 02.08 23.8w 21LK54 T14 C~93UB 2021 04 09.575035 16 15 55.126 -05 17 01.16 23.9w 21LK54 T14 C~93UB 2021 04 09.600426 16 15 55.022 -05 17 00.40 24.0w 21LK54 T14 C~93UB 2021 06 03.487586 16 10 46.365 -05 01 00.55 23.5w 21LK54 T14 C~93UB 2021 06 03.513209 16 10 46.203 -05 01 00.43 23.5w 21LK54 T14 C~93UB 2021 06 08.358160 16 10 16.230 -05 00 44.88 23.9w 21LK54 T14 C~93UB 2021 06 08.383479 16 10 16.074 -05 00 44.80 24.0w 21LK54 T14 C~93UB 2021 06 08.413216 16 10 15.886 -05 00 44.77 23.7w 21LK54 T14 C~93UB 2021 06 14.363325 16 09 40.096 -05 00 45.54 23.7w 21LK54 T14 C~93UB 2021 06 14.388791 16 09 39.939 -05 00 45.59 23.6w 21LK54 T14 C~93UB 2021 07 08.292746 16 07 36.396 -05 04 33.62 24.1w 21LK54 T14 C~93UB 2021 07 10.292920 16 07 28.038 -05 05 08.91 23.8w 21LK54 T14 C~93UB 2021 07 11.292256 16 07 24.007 -05 05 27.57 23.6w 21LK54 T14 C~93UB 2022 05 29.109070 16 19 48.166 -06 10 23.45 23.6r 21LK54 269 C~93UB 2022 05 29.112630 16 19 48.143 -06 10 23.46 23.1z 21LK54 269 C~93UB 2022 05 29.116740 16 19 48.119 -06 10 23.40 23.1z 21LK54 269 C~93UB 2022 05 29.121210 16 19 48.085 -06 10 23.38 24.3g 21LK54 269 C~93UB 2022 05 29.125050 16 19 48.062 -06 10 23.33 24.4g 21LK54 269 C~93UB 2022 05 29.128460 16 19 48.040 -06 10 23.33 23.8r 21LK54 269 C~93UB 2022 05 29.131450 16 19 48.024 -06 10 23.31 23.4z 21LK54 269 C~93UB 2022 05 29.134380 16 19 48.005 -06 10 23.28 23.3z 21LK54 269 C~93UB 2022 05 29.137270 16 19 47.986 -06 10 23.20 23.5z 21LK54 269 C~93UB 2022 05 29.140710 16 19 47.959 -06 10 23.27 23.8r 21LK54 269 C~93UB 2022 06 24.450251 16 17 08.571 -06 10 13.94 23.6w 21LK54 T14 C~93UB 2022 06 25.374438 16 17 03.525 -06 10 21.04 23.9w 21LK54 T14 C~93UB 2022 06 28.367639 16 16 47.493 -06 10 47.24 23.9w 21LK54 T14 C~93UB 2022 07 22.314146 16 15 05.401 -06 17 27.90 24.0w 21LK54 T14 C~93UB 2023 04 25.622645 16 31 33.210 -07 26 32.18 23.6w 21LK54 T14 C~93UB 2023 04 26.621424 16 31 28.237 -07 26 12.61 24.4w 21LK54 T14 C~93UB 2023 05 21.456305 16 29 05.052 -07 19 42.18 23.6w 21LK54 T14 C~93UB 2023 06 19.392442 16 26 03.965 -07 17 47.05 23.7w 21LK54 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 -0.03
2 0.0000 0.00 -0.03 0.00 -0.01
3 3.0991 0.00 -0.05 0.00 -0.00
4 3.1453 0.00 0.03 0.00 0.04
5 3.1454 0.00 -0.03 0.00 -0.02
6 3.3068 0.00 0.01 0.00 -0.01
7 3.3069 0.00 0.02 0.00 0.07
8 3.3070 0.00 0.01 0.00 -0.02
9 3.3070 0.00 -0.13 0.00 -0.03
10 3.3123 0.00 0.02 0.00 -0.02
11 4.1968 0.00 0.07 0.00 0.02
12 4.1969 0.00 0.01 0.00 -0.05
13 4.1970 0.00 -0.02 0.00 0.05
14 4.3472 0.00 -0.03 0.00 0.01
15 4.3473 0.00 -0.02 0.00 0.01
16 4.3606 0.00 -0.01 0.00 0.01
17 4.3606 0.00 0.02 0.00 0.05
18 4.3607 0.00 -0.02 0.00 0.02
19 4.3770 0.00 0.02 0.00 -0.01
20 4.3771 0.00 -0.03 0.00 -0.01
21 4.4425 0.00 0.01 0.00 -0.01
22 4.4480 0.00 -0.08 0.00 0.06
23 4.4507 0.00 -0.03 0.00 -0.01
24 5.3318 0.00 0.03 0.00 0.01
25 5.3318 0.00 0.03 0.00 -0.02
26 5.3319 0.00 0.06 0.00 0.01
27 5.3319 0.00 -0.01 0.00 -0.01
28 5.3319 0.00 0.01 0.00 0.01
29 5.3319 0.00 0.01 0.00 -0.01
30 5.3319 0.00 0.06 0.00 -0.02
31 5.3319 0.00 0.06 0.00 -0.01
32 5.3319 0.00 0.06 0.00 0.05
33 5.3319 0.00 -0.01 0.00 -0.05
34 5.4039 0.00 -0.06 0.00 0.01
35 5.4065 0.00 0.09 0.00 -0.07
36 5.4147 0.00 0.00 0.00 -0.03
37 5.4802 0.00 0.01 0.00 0.01
38 6.2395 0.00 -0.19 0.00 0.03
39 6.2422 0.00 0.03 0.00 -0.07
40 6.3102 0.00 0.01 0.00 0.02
41 6.3894 0.00 0.01 0.00 -0.03
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.
21LK54 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.201 39.201 39.202 ecceobj 0.215 0.215 0.215 incobj 23.406 23.406 23.406 qmin 26.661 26.660 26.662 qmax 52.708 52.709 52.707 amean 39.454 39.454 39.454 amin 39.054 39.053 39.056 amax 39.938 39.938 39.939 emean 0.257 0.257 0.257 emin 0.180 0.180 0.181 emax 0.324 0.324 0.324 imean 20.274 20.273 20.275 imin 17.174 17.173 17.175 imax 23.057 23.058 23.059 excite_mean 0.434 0.434 0.434 fracstop 1.000 1.000 1.000 cjmean 2.835 2.835 2.835 libcent 0 180.6 180.5 180.8 libamp 0 54.4 54.0 54.4 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 86.2 86.2 86.2 kozaiamp 62.9 62.9 62.9