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: 21LZ43
# Created Tue Apr 1 01:11:25 2025
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 1.37y
# First observation: 2021/06/09
# Last observation: 2022/10/23
Preliminary a, adot, b, bdot, g, gdot:
-0.000041 0.027971 0.000001 0.000457 0.026225 0.000000
# Chi-squared of fit: 0.08 DOF: 36 RMS: 0.01
# Min/Max residuals: -0.02 0.02
# Exact a, adot, b, bdot, g, gdot:
1.678332E-05 2.820310E-02 3.248836E-07 4.620391E-04 2.647295E-02 1.006056E-03
# Covariance matrix:
3.4917E-13 1.3096E-12 -2.1789E-15 3.4871E-14 1.4882E-12 1.9011E-10
1.3096E-12 1.2458E-11 -1.9745E-14 3.0844E-13 1.2679E-11 1.8380E-09
-2.1789E-15 -1.9745E-14 1.3889E-13 -1.0953E-13 -2.0334E-14 -3.0040E-12
3.4871E-14 3.0844E-13 -1.0953E-13 1.8492E-13 3.1806E-13 4.6526E-11
1.4882E-12 1.2679E-11 -2.0334E-14 3.1806E-13 1.3103E-11 1.8864E-09
1.9011E-10 1.8380E-09 -3.0040E-12 4.6526E-11 1.8864E-09 2.8571E-07
# lat0 lon0 xBary yBary zBary JD0
1.173823 -72.866192 0.491907 0.017901 -0.884129 2459374.942811
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 8.82510 +/- 7.586
Argument of Peri: 39.04306 +/- 9.799
Long of Asc Node: 236.04331 +/- 0.028
Inclination: 1.48886 +/- 0.001
Eccentricity: 0.12083798 +/- 0.0045
Semi-Major Axis: 43.89091697 +/- 0.0571
Time of Perihelion: 2456766.8795 +/- 2238.0
Perihelion: 38.58722720 +/- 0.2041
Aphelion: 49.19460674 +/- 0.2079
Period (y) 290.7838 +/- 0.57
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 10.92486052 +/- 0.0015
Ecliptic Y -37.08513696 +/- 0.0049
Ecliptic Z 0.77392221 +/- 0.0001
Ecliptic XDOT 0.00282327 +/- 0.0000
Ecliptic YDOT 0.00076795 +/- 0.0001
Ecliptic ZDOT 0.00004972 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.66857790 +/- 0.0048
Geocenter to KBO 37.77440090 +/- 0.0052
# Hcoef: 7.68
The following table shows the complete astrometric record for 21LZ43. 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 (21LZ43) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 13 39.253 -21 10 36.82 24.0r 21LZ43 266 C~6Ip2 2021 06 09.52881 19 13 38.843 -21 10 37.43 24.0r 21LZ43 266 C~6Ip2 2021 06 09.61426 19 13 38.440 -21 10 38.02 24.0r 21LZ43 266 C~6Ip2 2021 06 17.43605 19 13 00.710 -21 11 36.21 24.1r 21LZ43 266 C~6Ip2 2021 06 17.50053 19 13 00.381 -21 11 36.72 24.1r 21LZ43 266 C~6Ip2 2021 06 17.57953 19 12 59.979 -21 11 37.33 24.1r 21LZ43 266 C~6Ip2 2021 07 05.35106 19 11 26.348 -21 14 08.19 23.8r 21LZ43 266 C~6Ip2 2021 07 05.43951 19 11 25.859 -21 14 09.00 23.8r 21LZ43 266 C~6Ip2 2021 07 05.52517 19 11 25.385 -21 14 09.76 23.8r 21LZ43 266 C~6Ip2 2021 09 06.23258 19 06 49.649 -21 22 24.69 24.4r 21LZ43 266 C~6Ip2 2021 09 06.31281 19 06 49.460 -21 22 25.09 24.4r 21LZ43 266 C~6Ip2 2021 09 06.39352 19 06 49.272 -21 22 25.47 24.4r 21LZ43 266 C~6Ip2 2022 10 20.21696 19 13 33.779 -21 10 34.13 23.1V 21LZ43 266 C~7um8 2022 10 20.26058 19 13 33.875 -21 10 34.02 23.1V 21LZ43 266 C~7um8 2022 10 20.29842 19 13 33.958 -21 10 33.91 23.1V 21LZ43 266 C~7um8 2022 10 21.20926 19 13 36.092 -21 10 31.66 22.9V 21LZ43 266 C~7um8 2022 10 21.25420 19 13 36.195 -21 10 31.53 22.9V 21LZ43 266 C~7um8 2022 10 21.29846 19 13 36.298 -21 10 31.40 22.9V 21LZ43 266 C~7um8 2022 10 23.20599 19 13 41.064 -21 10 26.05 22.9V 21LZ43 266 C~7um8 2022 10 23.25093 19 13 41.177 -21 10 25.90 22.9V 21LZ43 266 C~7um8 2022 10 23.29489 19 13 41.289 -21 10 25.76 22.9V 21LZ43 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 0.01 0.00 -0.01
2 0.0002 -5.77 0.01 0.12 -0.00
3 0.0005 -11.43 0.01 0.24 -0.01
4 0.0219 -542.27 -0.02 8.55 0.01
5 0.0221 -546.90 -0.02 8.62 0.01
6 0.0223 -552.55 -0.00 8.72 0.01
7 0.0709 -1870.50 0.00 20.61 0.01
8 0.0712 -1877.38 0.00 20.64 0.01
9 0.0714 -1884.05 -0.00 20.70 0.00
10 0.2431 -5770.38 0.00 -13.86 -0.01
11 0.2433 -5773.05 -0.00 -13.96 -0.01
12 0.2435 -5775.71 0.00 -14.03 -0.01
13 1.3628 -75.62 -0.01 12.29 0.02
14 1.3630 -74.28 -0.01 12.23 0.02
15 1.3631 -73.11 -0.02 12.19 0.02
16 1.3656 -43.21 0.02 10.67 -0.00
17 1.3657 -41.77 0.01 10.62 -0.00
18 1.3658 -40.32 0.01 10.57 -0.00
19 1.3710 26.48 0.00 7.50 -0.02
20 1.3711 28.07 -0.00 7.45 -0.01
21 1.3713 29.64 0.00 7.39 -0.02
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.
21LZ43 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.321 44.023 42.868 ecceobj 0.111 0.143 0.098 incobj 1.498 1.498 1.497 qmin 37.928 37.215 37.484 qmax 49.526 51.799 49.115 amean 43.586 44.314 43.121 amin 43.211 43.931 42.743 amax 43.971 44.739 43.528 emean 0.104 0.139 0.102 emin 0.076 0.119 0.074 emax 0.127 0.159 0.128 imean 3.858 3.863 4.095 imin 2.762 2.737 2.762 imax 4.764 4.961 5.188 excite_mean 0.124 0.155 0.124 fracstop 1.000 1.000 1.000 cjmean 3.077 3.076 3.072 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 181.7 180.8 181.8 kozaiamp 179.9 180.0 180.0