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: 21LD44
# Created Sun Dec 22 02:11:17 2024
# Orbit generated from Bernstein formalism
# Fitting 30 observations of 30
# Arc: 2.40y
# First observation: 2020/05/26
# Last observation: 2022/10/21
Preliminary a, adot, b, bdot, g, gdot:
0.000130 0.023860 -0.000000 0.000299 0.025576 0.000000
# Chi-squared of fit: 0.46 DOF: 54 RMS: 0.02
# Min/Max residuals: -0.06 0.04
# Exact a, adot, b, bdot, g, gdot:
1.487878E-05 2.418854E-02 1.082146E-08 3.006504E-04 2.568679E-02 8.121055E-03
# Covariance matrix:
1.5090E-13 -3.0746E-13 2.7905E-16 -2.4482E-15 -2.0099E-13 -6.6019E-12
-3.0746E-13 2.2690E-12 -3.3435E-15 2.3466E-14 1.9356E-12 6.0340E-11
2.7905E-16 -3.3435E-15 1.2607E-13 -7.4702E-14 -4.7576E-15 -5.0978E-15
-2.4482E-15 2.3466E-14 -7.4702E-14 7.3563E-14 2.1646E-14 5.9893E-13
-2.0099E-13 1.9356E-12 -4.7576E-15 2.1646E-14 1.8084E-12 4.8302E-11
-6.6019E-12 6.0340E-11 -5.0978E-15 5.9893E-13 4.8302E-11 1.8928E-09
# lat0 lon0 xBary yBary zBary JD0
1.674119 -73.954779 0.663285 0.022083 -0.759920 2458995.943811
# Heliocentric elements and errors
Epoch: 2458990.5000 = 2020/05/21
Mean Anomaly: 73.04365 +/- 0.250
Argument of Peri: 317.92974 +/- 0.102
Long of Asc Node: 219.34735 +/- 0.019
Inclination: 1.80043 +/- 0.000
Eccentricity: 0.30110620 +/- 0.0015
Semi-Major Axis: 39.63803299 +/- 0.0400
Time of Perihelion: 2440495.8321 +/- 56.8
Perihelion: 27.70277539 +/- 0.0662
Aphelion: 51.57329058 +/- 0.0795
Period (y) 249.5608 +/- 0.38
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 10.33388455 +/- 0.0006
Ecliptic Y -38.31879501 +/- 0.0020
Ecliptic Z 1.13741572 +/- 0.0001
Ecliptic XDOT 0.00272473 +/- 0.0000
Ecliptic YDOT -0.00011451 +/- 0.0000
Ecliptic ZDOT 0.00005709 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.70406699 +/- 0.0019
Geocenter to KBO 38.93051101 +/- 0.0020
# Hcoef: 8.14
The following table shows the complete astrometric record for 21LD44. 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 (21LD44) followed by the observatory code and reference code for the source of the astrometry.
2020 05 26.44301 19 08 45.933 -20 48 45.71 24.8r 21LD44 266 C~6VLq 2020 05 26.50149 19 08 45.704 -20 48 45.99 24.8r 21LD44 266 C~6VLq 2020 05 26.55599 19 08 45.489 -20 48 46.23 24.8r 21LD44 266 C~6VLq 2020 05 29.44698 19 08 34.090 -20 48 59.81 24.2r 21LD44 266 C~6VLq 2020 05 29.53371 19 08 33.731 -20 49 00.24 24.2r 21LD44 266 C~6VLq 2020 05 29.61905 19 08 33.377 -20 49 00.65 24.2r 21LD44 266 C~6VLq 2020 05 31.44139 19 08 25.888 -20 49 09.81 24.2r 21LD44 266 C~6VLq 2020 05 31.52961 19 08 25.511 -20 49 10.28 24.2r 21LD44 266 C~6VLq 2020 05 31.61814 19 08 25.132 -20 49 10.73 24.2r 21LD44 266 C~6VLq 2021 06 09.44201 19 13 39.563 -20 38 57.30 24.3r 21LD44 266 C~6Ip2 2021 06 09.52461 19 13 39.178 -20 38 57.85 24.3r 21LD44 266 C~6Ip2 2021 06 09.61426 19 13 38.759 -20 38 58.44 24.3r 21LD44 266 C~6Ip2 2021 06 17.43605 19 13 01.434 -20 39 54.47 24.4r 21LD44 266 C~6Ip2 2021 06 17.50053 19 13 01.110 -20 39 54.97 24.4r 21LD44 266 C~6Ip2 2021 06 17.57953 19 13 00.712 -20 39 55.56 24.4r 21LD44 266 C~6Ip2 2021 07 05.34556 19 11 28.369 -20 42 23.71 24.7r 21LD44 266 C~6Ip2 2021 07 05.35106 19 11 28.345 -20 42 23.82 23.9r 21LD44 266 C~6Ip2 2021 07 05.39262 19 11 28.113 -20 42 24.14 24.7r 21LD44 266 C~6Ip2 2021 07 05.43532 19 11 27.880 -20 42 24.53 24.7r 21LD44 266 C~6Ip2 2021 07 05.43951 19 11 27.863 -20 42 24.62 23.9r 21LD44 266 C~6Ip2 2021 07 05.52517 19 11 27.397 -20 42 25.37 23.9r 21LD44 266 C~6Ip2 2021 09 06.23258 19 06 54.391 -20 51 04.78 24.5r 21LD44 266 C~6Ip2 2021 09 06.31281 19 06 54.200 -20 51 05.24 24.5r 21LD44 266 C~6Ip2 2021 09 06.39352 19 06 54.009 -20 51 05.69 24.5r 21LD44 266 C~6Ip2 2022 10 20.21696 19 12 31.235 -20 42 19.71 23.3V 21LD44 266 C~7um8 2022 10 20.26058 19 12 31.322 -20 42 19.65 23.3V 21LD44 266 C~7um8 2022 10 20.29842 19 12 31.399 -20 42 19.59 23.3V 21LD44 266 C~7um8 2022 10 21.20926 19 12 33.343 -20 42 18.40 23.1V 21LD44 266 C~7um8 2022 10 21.25420 19 12 33.438 -20 42 18.32 23.1V 21LD44 266 C~7um8 2022 10 21.29846 19 12 33.531 -20 42 18.24 23.1V 21LD44 266 C~7um8
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 0.00 0.00 0.04
2 0.0002 -3.22 0.01 0.10 0.03
3 0.0003 -6.24 0.00 0.22 0.04
4 0.0082 -166.56 0.00 5.50 -0.02
5 0.0085 -171.61 0.00 5.67 -0.02
6 0.0087 -176.58 0.00 5.84 -0.02
7 0.0137 -281.94 0.00 9.05 0.00
8 0.0139 -287.24 -0.00 9.20 0.00
9 0.0142 -292.57 -0.01 9.38 0.00
10 1.0376 4160.79 0.01 84.09 -0.03
11 1.0379 4155.36 0.02 84.22 -0.02
12 1.0381 4149.45 0.02 84.37 -0.02
13 1.0595 3622.48 0.00 94.06 -0.02
14 1.0597 3617.91 0.01 94.13 -0.03
15 1.0599 3612.29 0.01 94.24 -0.03
16 1.1086 2307.79 -0.06 106.54 0.04
17 1.1086 2307.44 0.02 106.47 -0.03
18 1.1087 2304.17 -0.06 106.55 0.04
19 1.1088 2300.88 -0.06 106.56 0.03
20 1.1088 2300.63 0.01 106.50 -0.03
21 1.1091 2294.05 0.02 106.55 -0.02
22 1.2807 -1569.35 0.01 43.56 0.01
23 1.2810 -1572.06 0.01 43.41 0.01
24 1.2812 -1574.77 0.01 43.27 0.01
25 2.4005 3183.86 -0.00 2.38 0.02
26 2.4006 3185.08 -0.00 2.29 0.01
27 2.4007 3186.16 0.01 2.21 0.01
28 2.4032 3213.38 -0.00 0.03 -0.00
29 2.4033 3214.71 0.01 -0.06 -0.00
30 2.4034 3216.02 -0.00 -0.14 0.00
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.
21LD44 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.113 39.217 39.010 ecceobj 0.300 0.302 0.297 incobj 1.810 1.810 1.810 qmin 26.889 26.784 26.952 qmax 52.690 52.704 52.804 amean 39.455 39.455 39.455 amin 38.997 39.025 38.911 amax 40.057 39.995 40.138 emean 0.305 0.306 0.303 emin 0.291 0.293 0.290 emax 0.318 0.319 0.317 imean 3.157 3.153 3.142 imin 2.751 2.758 2.777 imax 3.532 3.499 3.604 excite_mean 0.310 0.311 0.308 fracstop 1.000 1.000 1.000 cjmean 2.940 2.939 2.941 libcent 0 179.3 180.1 179.6 libamp 0 72.3 64.3 114.2 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 160.6 161.8 154.2 kozaiamp 180.0 180.0 180.0