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: 21LL44
# Created Tue Apr 1 01:11:25 2025
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 88.95d
# First observation: 2021/06/09
# Last observation: 2021/09/06
Preliminary a, adot, b, bdot, g, gdot:
-0.000007 0.038593 -0.000006 -0.000426 0.026751 0.000000
# Chi-squared of fit: 0.04 DOF: 18 RMS: 0.01
# Min/Max residuals: -0.02 0.02
# Exact a, adot, b, bdot, g, gdot:
1.531106E-05 2.341849E-02 -3.431244E-07 -5.321859E-04 2.412994E-02 1.487268E-05
# Covariance matrix:
3.6168E-13 -9.8057E-12 3.0491E-15 -9.8104E-14 -2.1685E-13 2.7457E-10
-9.8057E-12 2.2167E-07 -8.7187E-11 1.6177E-09 3.6002E-08 -1.0046E-06
3.0491E-15 -8.7187E-11 2.5028E-13 -1.7630E-12 -1.4164E-11 3.9457E-10
-9.8104E-14 1.6177E-09 -1.7630E-12 2.5417E-11 2.6247E-10 -7.3883E-09
-2.1685E-13 3.6002E-08 -1.4164E-11 2.6247E-10 5.8575E-09 -1.6125E-07
2.7457E-10 -1.0046E-06 3.9457E-10 -7.3883E-09 -1.6125E-07 4.9340E-06
# lat0 lon0 xBary yBary zBary JD0
1.292654 -72.921335 0.491056 0.019745 -0.884563 2459374.942811
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 322.71505 +/- 151.448
Argument of Peri: 174.17691 +/- 160.147
Long of Asc Node: 150.96698 +/- 0.709
Inclination: 1.80369 +/- 0.023
Eccentricity: 0.02069319 +/- 0.0823
Semi-Major Axis: 43.03842720 +/- 1.2401
Time of Perihelion: 2470051.5527 +/- 43383.1
Perihelion: 42.14782475 +/- 3.7457
Aphelion: 43.92902965 +/- 3.7627
Period (y) 282.3532 +/- 12.20
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.96655304 +/- 0.0386
Ecliptic Y -40.59946527 +/- 0.1256
Ecliptic Z 0.93496596 +/- 0.0030
Ecliptic XDOT 0.00254642 +/- 0.0000
Ecliptic YDOT 0.00078457 +/- 0.0003
Ecliptic ZDOT -0.00006052 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.33661693 +/- 0.1210
Geocenter to KBO 41.44228566 +/- 0.1314
# Hcoef: 9.41
The following table shows the complete astrometric record for 21LL44. 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 (21LL44) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 13 21.346 -21 03 57.30 25.5r 21LL44 266 C~6Ip2 2021 06 09.52741 19 13 20.971 -21 03 57.90 25.5r 21LL44 266 C~6Ip2 2021 06 09.61426 19 13 20.590 -21 03 58.49 25.5r 21LL44 266 C~6Ip2 2021 06 17.43605 19 12 45.524 -21 04 56.26 25.7r 21LL44 266 C~6Ip2 2021 06 17.49913 19 12 45.226 -21 04 56.76 25.7r 21LL44 266 C~6Ip2 2021 06 17.57953 19 12 44.845 -21 04 57.37 25.7r 21LL44 266 C~6Ip2 2021 07 05.35106 19 11 18.007 -21 07 26.20 25.2r 21LL44 266 C~6Ip2 2021 07 05.43951 19 11 17.554 -21 07 26.99 25.2r 21LL44 266 C~6Ip2 2021 07 05.52517 19 11 17.115 -21 07 27.74 25.2r 21LL44 266 C~6Ip2 2021 09 06.23258 19 07 00.367 -21 15 46.80 26.0r 21LL44 266 C~6Ip2 2021 09 06.31281 19 07 00.187 -21 15 47.23 26.0r 21LL44 266 C~6Ip2 2021 09 06.39352 19 07 00.008 -21 15 47.65 26.0r 21LL44 266 C~6Ip2
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 0.01 0.00 -0.00
2 0.0002 -5.28 0.00 0.06 0.00
3 0.0005 -10.65 0.00 0.14 0.00
4 0.0219 -504.83 -0.01 4.04 -0.01
5 0.0221 -509.03 -0.00 4.06 -0.02
6 0.0223 -514.40 -0.01 4.11 -0.02
7 0.0709 -1738.73 0.00 6.02 0.02
8 0.0712 -1745.12 0.00 6.01 0.02
9 0.0714 -1751.30 0.00 6.02 0.02
10 0.2431 -5377.06 0.01 -63.63 -0.00
11 0.2433 -5379.61 -0.00 -63.76 -0.00
12 0.2435 -5382.14 -0.00 -63.89 -0.01
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.
21LL44 quality flag:1 Type: CLASSICAL SCATNEAR CLASSICAL axisobj 42.551 48.940 40.736 ecceobj 0.016 0.270 0.126 incobj 1.804 1.738 1.864 qmin 40.924 34.482 34.404 qmax 44.807 68.186 47.978 amean 42.772 49.406 40.981 amin 42.449 48.559 40.611 amax 43.102 51.597 41.422 emean 0.023 0.282 0.128 emin 0.000 0.260 0.103 emax 0.040 0.322 0.159 imean 2.500 2.232 2.707 imin 1.264 0.907 1.245 imax 3.337 3.130 3.914 excite_mean 0.050 0.285 0.137 fracstop 1.000 1.000 1.000 cjmean 3.084 3.064 3.047 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 185.0 178.0 175.9 kozaiamp 180.0 179.9 179.9