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: 21LP43
# Created Wed Jul 17 01:11:50 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 20 observations of 20
# Arc: 21.74y
# First observation: 2001/05/24
# Last observation: 2023/02/19
# Chi-squared of fit: 20.88 DOF: 34 RMS: 0.18
# Min/Max residuals: -0.51 0.27
# Exact a, adot, b, bdot, g, gdot:
1.579316E-05 1.973034E-02 1.089492E-06 8.658077E-04 1.947622E-02 9.816918E-03
# Covariance matrix:
7.3410E-13 -8.4653E-14 4.3065E-15 -2.2850E-15 -6.1121E-14 -1.4149E-13
-8.4653E-14 3.8050E-14 -2.0962E-15 1.5132E-15 -3.8061E-14 9.3560E-14
4.3065E-15 -2.0962E-15 6.3506E-13 -3.3292E-14 -3.6746E-15 -5.8447E-15
-2.2850E-15 1.5132E-15 -3.3292E-14 2.0958E-15 -1.0457E-15 3.9682E-15
-6.1121E-14 -3.8061E-14 -3.6746E-15 -1.0457E-15 5.5877E-13 -6.3684E-14
-1.4149E-13 9.3560E-14 -5.8447E-15 3.9682E-15 -6.3684E-14 2.4541E-13
# lat0 lon0 xBary yBary zBary JD0
8.785434 -152.669790 -0.595599 0.126137 -0.817252 2452053.753828
# Heliocentric elements and errors
Epoch: 2452054.5000 = 2001/05/25
Mean Anomaly: 6.60556 +/- 0.007
Argument of Peri: 10.19800 +/- 0.008
Long of Asc Node: 134.09826 +/- 0.001
Inclination: 8.99488 +/- 0.000
Eccentricity: 0.76651755 +/- 0.0002
Semi-Major Axis: 169.13833828 +/- 0.1240
Time of Perihelion: 2437312.0788 +/- 23.0
Perihelion: 39.49083325 +/- 0.0391
Aphelion: 298.78584330 +/- 0.2207
Period (y) 2199.7397 +/- 2.42
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -45.53551213 +/- 0.0017
Ecliptic Y -24.20081154 +/- 0.0009
Ecliptic Z 7.84220024 +/- 0.0003
Ecliptic XDOT 0.00006993 +/- 0.0000
Ecliptic YDOT -0.00307932 +/- 0.0000
Ecliptic ZDOT 0.00033125 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 52.15954859 +/- 0.0016
Geocenter to KBO 51.34429767 +/- 0.0020
# Hcoef: 6.13
The following table shows the complete astrometric record for 21LP43. 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 (21LP43) followed by the observatory code and reference code for the source of the astrometry.
2001 05 24.253085 13 54 04.30 -02 18 45.6 23.1r 21LP43 645 C~6DKi 2001 05 24.253914 13 54 04.29 -02 18 45.7 21LP43 645 C~6DKi 2016 04 01.470943 14 53 00.45 -07 00 38.8 23.8r 21LP43 T09 C~6DKi 2016 04 01.492834 14 53 00.39 -07 00 38.2 21LP43 T09 C~6DKi 2016 04 01.555448 14 53 00.22 -07 00 37.1 21LP43 T09 C~6DKi 2016 04 01.576766 14 53 00.15 -07 00 36.8 21LP43 T09 C~6DKi 2016 04 01.597693 14 53 00.09 -07 00 36.4 21LP43 T09 C~6DKi 2016 04 01.618245 14 53 00.06 -07 00 36.0 21LP43 T09 C~6DKi 2021 05 01.297987 15 07 05.58 -08 02 07.1 23.6i 21LP43 W84 C~6Ip1 2021 05 02.315134 15 07 02.40 -08 01 52.4 21LP43 W84 C~6Ip1 2021 06 07.04696 15 05 13.178 -07 55 15.11 24.3r 21LP43 807 C~6DKi 2021 06 09.12434 15 05 07.526 -07 55 00.89 24.1r 21LP43 807 C~6DKi 2022 04 08.23493 15 11 09.884 -08 20 51.20 24.0r 21LP43 304 C~6DKi 2022 04 08.26945 15 11 09.794 -08 20 50.44 24.0r 21LP43 304 C~6DKi 2022 04 09.17486 15 11 07.454 -08 20 36.79 24.0r 21LP43 304 C~6DKi 2022 04 29.33430 15 10 09.160 -08 15 31.99 24.1r 21LP43 304 C~6DKi 2022 04 29.36491 15 10 09.062 -08 15 31.58 24.3r 21LP43 304 C~6DKi 2022 04 30.31422 15 10 06.128 -08 15 17.91 24.0r 21LP43 304 C~6DKi 2023 02 18.37307 15 15 11.030 -08 43 54.89 24.3r 21LP43 304 C~6Eqd 2023 02 19.37623 15 15 11.005 -08 43 45.97 24.3r 21LP43 304 C~6Eqd
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 0.02 0.00 -0.09
2 0.0000 0.00 -0.10 0.00 -0.20
3 14.8562 0.00 0.14 0.00 0.02
4 14.8562 0.00 0.12 0.00 0.24
5 14.8564 0.00 0.09 0.00 0.26
6 14.8565 0.00 -0.10 0.00 0.19
7 14.8565 0.00 -0.15 0.00 0.23
8 14.8566 0.00 0.22 0.00 0.27
9 19.9372 0.00 -0.03 0.00 0.03
10 19.9399 0.00 0.18 0.00 0.16
11 20.0378 0.00 0.10 0.00 -0.35
12 20.0435 0.00 -0.00 0.00 -0.51
13 20.8733 0.00 -0.17 0.00 -0.08
14 20.8734 0.00 -0.15 0.00 0.15
15 20.8759 0.00 0.14 0.00 -0.20
16 20.9311 0.00 -0.18 0.00 0.03
17 20.9312 0.00 -0.22 0.00 -0.01
18 20.9338 0.00 -0.21 0.00 0.03
19 21.7389 0.00 0.15 0.00 -0.05
20 21.7416 0.00 0.18 0.00 -0.15
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.
21LP43 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 166.150 166.155 166.145 ecceobj 0.762 0.762 0.762 incobj 9.000 9.000 9.000 qmin 37.940 37.870 37.826 qmax 323.312 316.572 316.330 amean 170.937 168.906 168.619 amin 163.570 163.193 163.160 amax 181.456 178.029 177.905 emean 0.768 0.766 0.765 emin 0.755 0.755 0.755 emax 0.782 0.778 0.778 imean 7.273 7.128 7.137 imin 6.978 6.752 6.818 imax 7.757 7.756 7.755 excite_mean 0.779 0.776 0.775 fracstop 1.000 1.000 1.000 cjmean 3.202 3.201 3.202 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 50.2 60.1 56.2 kozaiamp 42.1 52.2 47.1