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: 21LZ44
# Created Tue Apr 1 01:11:25 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 1.37y
# First observation: 2021/06/09
# Last observation: 2022/10/23
Preliminary a, adot, b, bdot, g, gdot:
-0.000012 0.023792 -0.000001 -0.000295 0.024065 0.000000
# Chi-squared of fit: 0.83 DOF: 24 RMS: 0.04
# Min/Max residuals: -0.07 0.08
# Exact a, adot, b, bdot, g, gdot:
1.577379E-05 2.395218E-02 -1.807439E-07 -3.128568E-04 2.426693E-02 9.118829E-05
# Covariance matrix:
3.8914E-13 1.4668E-12 3.0296E-14 -4.3276E-13 2.6336E-12 4.2730E-10
1.4668E-12 1.7603E-11 3.5986E-13 -5.2010E-12 2.9153E-11 5.0914E-09
3.0296E-14 3.5986E-13 1.9425E-13 -2.5879E-13 6.0951E-13 1.0844E-10
-4.3276E-13 -5.2010E-12 -2.5879E-13 1.8621E-12 -8.8168E-12 -1.5717E-09
2.6336E-12 2.9153E-11 6.0951E-13 -8.8168E-12 4.9106E-11 8.6255E-09
4.2730E-10 5.0914E-09 1.0844E-10 -1.5717E-09 8.6255E-09 1.5354E-06
# lat0 lon0 xBary yBary zBary JD0
1.514559 -73.296940 0.485245 0.023255 -0.887678 2459374.942811
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 348.62052 +/- 59.827
Argument of Peri: 128.69163 +/- 65.766
Long of Asc Node: 169.81440 +/- 0.045
Inclination: 1.65254 +/- 0.001
Eccentricity: 0.04596096 +/- 0.0110
Semi-Major Axis: 44.08844463 +/- 0.0279
Time of Perihelion: 2462750.4115 +/- 17769.8
Perihelion: 42.06209758 +/- 0.4838
Aphelion: 46.11479169 +/- 0.4839
Period (y) 292.7490 +/- 0.28
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.63833561 +/- 0.0034
Ecliptic Y -40.45062351 +/- 0.0114
Ecliptic Z 1.08924547 +/- 0.0003
Ecliptic XDOT 0.00259712 +/- 0.0000
Ecliptic YDOT 0.00077307 +/- 0.0001
Ecliptic ZDOT -0.00003520 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.10570334 +/- 0.0110
Geocenter to KBO 41.20834598 +/- 0.0119
# Hcoef: 8.25
The following table shows the complete astrometric record for 21LZ44. 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 (21LZ44) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 11 38.512 -20 53 31.91 25.0r 21LZ44 266 C~6Ip3 2021 06 09.52601 19 11 38.141 -20 53 32.47 25.0r 21LZ44 266 C~6Ip3 2021 06 09.61426 19 11 37.752 -20 53 33.03 25.0r 21LZ44 266 C~6Ip3 2021 06 17.43605 19 11 02.501 -20 54 27.72 24.9r 21LZ44 266 C~6Ip3 2021 06 17.50053 19 11 02.195 -20 54 28.20 24.9r 21LZ44 266 C~6Ip3 2021 06 17.57953 19 11 01.819 -20 54 28.77 24.9r 21LZ44 266 C~6Ip3 2021 09 06.23258 19 05 17.955 -21 05 03.21 25.2r 21LZ44 266 C~6Ip3 2021 09 06.31281 19 05 17.779 -21 05 03.64 25.2r 21LZ44 266 C~6Ip3 2021 09 06.39352 19 05 17.604 -21 05 04.06 25.2r 21LZ44 266 C~6Ip3 2022 10 20.21696 19 11 01.358 -20 58 20.03 23.9V 21LZ44 266 C~7um8 2022 10 20.26058 19 11 01.446 -20 58 19.96 23.9V 21LZ44 266 C~7um8 2022 10 20.29842 19 11 01.523 -20 58 19.90 23.9V 21LZ44 266 C~7um8 2022 10 23.20599 19 11 08.016 -20 58 15.27 23.7V 21LZ44 266 C~7um8 2022 10 23.25093 19 11 08.120 -20 58 15.17 23.7V 21LZ44 266 C~7um8 2022 10 23.29489 19 11 08.222 -20 58 15.08 23.7V 21LZ44 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 -0.03 0.00 -0.00
2 0.0002 -5.23 -0.04 0.08 -0.01
3 0.0005 -10.71 -0.03 0.19 0.00
4 0.0219 -507.67 0.03 6.12 0.04
5 0.0221 -511.98 0.04 6.17 0.04
6 0.0223 -517.28 0.04 6.24 0.04
7 0.2431 -5375.13 -0.01 -60.52 -0.04
8 0.2433 -5377.62 -0.01 -60.67 -0.04
9 0.2435 -5380.11 0.00 -60.81 -0.04
10 1.3628 -551.77 0.01 -222.52 -0.07
11 1.3630 -550.54 0.02 -222.60 -0.07
12 1.3631 -549.46 0.03 -222.68 -0.07
13 1.3710 -458.63 -0.02 -229.13 0.07
14 1.3711 -457.17 -0.02 -229.21 0.08
15 1.3713 -455.74 -0.02 -229.29 0.08
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.
21LZ44 quality flag:2 Type: CLASSICAL CLASSICAL SCATNEAR axisobj 43.570 44.928 43.461 ecceobj 0.037 0.134 0.061 incobj 1.653 1.655 1.653 qmin 41.433 38.421 38.225 qmax 46.378 52.366 49.691 amean 43.801 45.189 43.696 amin 43.462 44.815 43.294 amax 44.144 45.620 44.189 emean 0.035 0.132 0.080 emin 0.018 0.116 0.040 emax 0.051 0.148 0.125 imean 2.373 2.281 2.405 imin 1.666 1.617 1.300 imax 3.033 2.909 3.336 excite_mean 0.055 0.138 0.091 fracstop 1.000 1.000 1.000 cjmean 3.096 3.093 3.087 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 174.3 171.8 196.0 kozaiamp 179.9 180.0 180.0