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: 21LR44
# Created Sun Dec 22 02:11:18 2024
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 1.37y
# First observation: 2021/06/09
# Last observation: 2022/10/23
Preliminary a, adot, b, bdot, g, gdot:
-0.000045 0.026146 -0.000006 -0.003267 0.026175 0.000000
# Chi-squared of fit: 0.14 DOF: 30 RMS: 0.02
# Min/Max residuals: -0.02 0.03
# Exact a, adot, b, bdot, g, gdot:
1.576122E-05 2.629922E-02 -1.966122E-06 -3.348892E-03 2.638794E-02 -4.323556E-03
# Covariance matrix:
4.4596E-13 6.1654E-13 6.2859E-14 -7.5949E-13 1.2315E-12 1.4554E-10
6.1654E-13 3.2188E-12 3.1887E-13 -3.8645E-12 5.0985E-12 7.3794E-10
6.2859E-14 3.1887E-13 2.3063E-13 -6.2645E-13 5.5956E-13 9.0945E-11
-7.5949E-13 -3.8645E-12 -6.2645E-13 5.9976E-12 -6.7841E-12 -1.1038E-09
1.2315E-12 5.0985E-12 5.5956E-13 -6.7841E-12 8.7010E-12 1.2949E-09
1.4554E-10 7.3794E-10 9.0945E-11 -1.1038E-09 1.2949E-09 2.1042E-07
# lat0 lon0 xBary yBary zBary JD0
1.139731 -72.891185 0.491521 0.017379 -0.884354 2459374.942811
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 287.86231 +/- 1.578
Argument of Peri: 263.52665 +/- 0.146
Long of Asc Node: 115.08295 +/- 0.003
Inclination: 7.32958 +/- 0.003
Eccentricity: 0.17612432 +/- 0.0172
Semi-Major Axis: 39.75081364 +/- 0.2423
Time of Perihelion: 2477713.7892 +/- 364.6
Perihelion: 32.74972844 +/- 0.7111
Aphelion: 46.75189883 +/- 0.7396
Period (y) 250.6266 +/- 2.29
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 10.94501262 +/- 0.0012
Ecliptic Y -37.20672977 +/- 0.0041
Ecliptic Z 0.75378399 +/- 0.0001
Ecliptic XDOT 0.00248356 +/- 0.0000
Ecliptic YDOT 0.00123190 +/- 0.0000
Ecliptic ZDOT -0.00035650 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.79049151 +/- 0.0039
Geocenter to KBO 37.89610615 +/- 0.0042
# Hcoef: 8.50
The following table shows the complete astrometric record for 21LR44. 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 (21LR44) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 13 33.974 -21 12 49.88 24.9r 21LR44 266 C~6Ip3 2021 06 09.52881 19 13 33.561 -21 12 50.69 24.9r 21LR44 266 C~6Ip3 2021 06 09.61426 19 13 33.155 -21 12 51.47 24.9r 21LR44 266 C~6Ip3 2021 07 05.35106 19 11 19.994 -21 17 19.61 24.7r 21LR44 266 C~6Ip3 2021 07 05.43951 19 11 19.501 -21 17 20.61 24.7r 21LR44 266 C~6Ip3 2021 07 05.52517 19 11 19.024 -21 17 21.56 24.7r 21LR44 266 C~6Ip3 2021 09 06.23258 19 06 40.238 -21 27 52.99 25.6r 21LR44 266 C~6Ip3 2021 09 06.31281 19 06 40.045 -21 27 53.56 25.6r 21LR44 266 C~6Ip3 2021 09 06.39352 19 06 39.853 -21 27 54.11 25.6r 21LR44 266 C~6Ip3 2022 10 20.21696 19 13 02.564 -21 31 06.26 23.7V 21LR44 266 C~7um8 2022 10 20.26058 19 13 02.659 -21 31 06.21 23.7V 21LR44 266 C~7um8 2022 10 20.29842 19 13 02.742 -21 31 06.17 23.7V 21LR44 266 C~7um8 2022 10 21.20926 19 13 04.853 -21 31 05.44 23.8V 21LR44 266 C~7um8 2022 10 21.25420 19 13 04.956 -21 31 05.39 23.8V 21LR44 266 C~7um8 2022 10 21.29846 19 13 05.057 -21 31 05.34 23.8V 21LR44 266 C~7um8 2022 10 23.20599 19 13 09.776 -21 31 03.19 23.9V 21LR44 266 C~7um8 2022 10 23.25093 19 13 09.889 -21 31 03.12 23.9V 21LR44 266 C~7um8 2022 10 23.29489 19 13 09.999 -21 31 03.05 23.9V 21LR44 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 -0.00 0.00 -0.01
2 0.0002 -5.83 -0.00 -0.08 -0.01
3 0.0005 -11.56 0.01 -0.14 -0.01
4 0.0709 -1892.07 -0.00 -35.82 -0.00
5 0.0712 -1899.04 -0.01 -35.97 0.00
6 0.0714 -1905.77 -0.00 -36.10 -0.00
7 0.2431 -5848.72 -0.00 -202.35 0.01
8 0.2433 -5851.47 -0.00 -202.61 0.01
9 0.2435 -5854.19 0.01 -202.84 0.01
10 1.3628 -572.50 -0.01 -1032.88 -0.02
11 1.3630 -571.18 -0.01 -1033.00 -0.02
12 1.3631 -570.02 -0.00 -1033.10 -0.02
13 1.3656 -540.71 0.02 -1036.05 -0.01
14 1.3657 -539.27 0.03 -1036.18 -0.01
15 1.3658 -537.87 0.02 -1036.31 -0.02
16 1.3710 -472.26 -0.02 -1042.39 0.03
17 1.3711 -470.69 -0.01 -1042.52 0.03
18 1.3713 -469.16 -0.02 -1042.64 0.03
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.
21LR44 quality flag:1 Type: 3:2E CENTAURS SCATNEAR axisobj 39.323 39.781 39.020 ecceobj 0.178 0.219 0.137 incobj 7.350 7.341 7.359 qmin 31.950 30.078 33.327 qmax 47.268 55.374 46.311 amean 39.456 36.587 39.411 amin 39.114 32.578 38.882 amax 39.862 43.447 40.072 emean 0.172 0.128 0.117 emin 0.154 0.001 0.042 emax 0.188 0.275 0.158 imean 5.515 6.891 7.820 imin 5.043 2.763 4.071 imax 6.149 10.185 14.545 excite_mean 0.197 0.182 0.188 fracstop 1.000 1.000 1.000 cjmean 3.008 2.991 3.012 libcent 0 180.5 -180.0 -180.0 libamp 0 34.5 -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 181.3 184.8 177.7 kozaiamp 180.0 180.0 180.0