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: 21LK44
# 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:
-0.000009 0.041933 -0.000003 0.007239 0.026460 0.000000
# Chi-squared of fit: 0.03 DOF: 18 RMS: 0.01
# Min/Max residuals: -0.02 0.02
# Exact a, adot, b, bdot, g, gdot:
1.673098E-05 2.489441E-02 4.780631E-06 7.219651E-03 2.353118E-02 9.208823E-03
# Covariance matrix:
3.6089E-13 -1.0273E-11 -8.4972E-15 4.6889E-13 -3.0103E-13 2.8714E-10
-1.0273E-11 2.7385E-07 -4.9069E-11 -5.8007E-10 4.4690E-08 -1.2228E-06
-8.4972E-15 -4.9069E-11 2.2556E-13 -1.0553E-12 -8.0914E-12 2.0184E-10
4.6889E-13 -5.8007E-10 -1.0553E-12 1.6262E-11 -9.0960E-11 3.3564E-09
-3.0103E-13 4.4690E-08 -8.0914E-12 -9.0960E-11 7.3031E-09 -1.9753E-07
2.8714E-10 -1.2228E-06 2.0184E-10 3.3564E-09 -1.9753E-07 5.8803E-06
# lat0 lon0 xBary yBary zBary JD0
1.119649 -72.390981 0.499224 0.016984 -0.880036 2459374.942811
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 12.81893 +/- 2.629
Argument of Peri: 311.25422 +/- 10.103
Long of Asc Node: 283.16049 +/- 0.078
Inclination: 16.12560 +/- 0.306
Eccentricity: 0.57776392 +/- 0.0775
Semi-Major Axis: 87.92953428 +/- 10.0030
Time of Perihelion: 2448646.6681 +/- 1220.3
Perihelion: 37.12702183 +/- 8.0137
Aphelion: 138.73204672 +/- 17.1891
Period (y) 824.5374 +/- 140.70
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.65244568 +/- 0.0467
Ecliptic Y -41.49254077 +/- 0.1471
Ecliptic Z 0.83068134 +/- 0.0030
Ecliptic XDOT 0.00308542 +/- 0.0000
Ecliptic YDOT -0.00012204 +/- 0.0003
Ecliptic ZDOT 0.00086059 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.38669557 +/- 0.1413
Geocenter to KBO 42.49681304 +/- 0.1543
# Hcoef: 8.40
The following table shows the complete astrometric record for 21LK44. 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 (21LK44) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 15 42.316 -21 10 12.42 24.7r 21LK44 266 C~6Ip2 2021 06 09.52741 19 15 41.956 -21 10 12.65 24.7r 21LK44 266 C~6Ip2 2021 06 09.61426 19 15 41.591 -21 10 12.86 24.7r 21LK44 266 C~6Ip2 2021 06 17.43605 19 15 07.914 -21 10 36.33 24.6r 21LK44 266 C~6Ip2 2021 06 17.50053 19 15 07.620 -21 10 36.55 24.6r 21LK44 266 C~6Ip2 2021 06 17.57953 19 15 07.260 -21 10 36.81 24.6r 21LK44 266 C~6Ip2 2021 07 05.35106 19 13 43.617 -21 11 46.98 24.5r 21LK44 266 C~6Ip2 2021 07 05.43951 19 13 43.179 -21 11 47.38 24.5r 21LK44 266 C~6Ip2 2021 07 05.52517 19 13 42.756 -21 11 47.75 24.5r 21LK44 266 C~6Ip2 2021 09 06.23258 19 09 34.246 -21 15 26.08 25.0r 21LK44 266 C~6Ip2 2021 09 06.31281 19 09 34.072 -21 15 26.15 25.0r 21LK44 266 C~6Ip2 2021 09 06.39352 19 09 33.898 -21 15 26.21 25.0r 21LK44 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 -0.00 0.00 0.01
2 0.0002 -5.02 -0.01 0.42 0.01
3 0.0005 -10.11 0.00 0.87 0.02
4 0.0219 -480.27 0.01 38.17 -0.01
5 0.0221 -484.38 0.00 38.48 -0.01
6 0.0223 -489.41 -0.00 38.86 -0.01
7 0.0709 -1658.72 0.00 117.88 -0.01
8 0.0712 -1664.85 -0.01 118.26 -0.01
9 0.0714 -1670.76 -0.00 118.64 -0.02
10 0.2431 -5147.07 -0.00 328.31 0.00
11 0.2433 -5149.50 0.00 328.53 0.01
12 0.2435 -5151.92 0.00 328.76 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.
21LK44 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0