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: 21LA44
# Created Sun Dec 22 02:11:17 2024
# 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:
-0.000035 0.026563 -0.000003 -0.002121 0.026408 0.000000
# Chi-squared of fit: 0.69 DOF: 36 RMS: 0.03
# Min/Max residuals: -0.07 0.07
# Exact a, adot, b, bdot, g, gdot:
1.589548E-05 2.669112E-02 -1.326556E-06 -2.172887E-03 2.658909E-02 -5.055850E-03
# Covariance matrix:
3.2886E-13 6.2933E-13 3.7188E-14 -5.6720E-13 1.2175E-12 1.6188E-10
6.2933E-13 3.3805E-12 1.8899E-13 -2.8838E-12 5.5405E-12 8.2069E-10
3.7188E-14 1.8899E-13 1.5164E-13 -3.0866E-13 3.4469E-13 5.6776E-11
-5.6720E-13 -2.8838E-12 -3.0866E-13 3.2287E-12 -5.2605E-12 -8.6673E-10
1.2175E-12 5.5405E-12 3.4469E-13 -5.2605E-12 9.7426E-12 1.4957E-09
1.6188E-10 8.2069E-10 5.6776E-11 -8.6673E-10 1.4957E-09 2.4603E-07
# lat0 lon0 xBary yBary zBary JD0
1.134490 -72.018316 0.504939 0.017148 -0.876766 2459374.942811
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 290.10209 +/- 1.679
Argument of Peri: 259.54319 +/- 0.199
Long of Asc Node: 120.62909 +/- 0.006
Inclination: 4.77585 +/- 0.002
Eccentricity: 0.20162756 +/- 0.0183
Semi-Major Axis: 39.70752186 +/- 0.2993
Time of Perihelion: 2477115.2249 +/- 376.2
Perihelion: 31.70139112 +/- 0.7656
Aphelion: 47.71365260 +/- 0.8114
Period (y) 250.2173 +/- 2.83
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 11.40689610 +/- 0.0013
Ecliptic Y -36.76014312 +/- 0.0042
Ecliptic Z 0.74466704 +/- 0.0001
Ecliptic XDOT 0.00246037 +/- 0.0000
Ecliptic YDOT 0.00134644 +/- 0.0000
Ecliptic ZDOT -0.00023419 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.49649243 +/- 0.0040
Geocenter to KBO 37.60941027 +/- 0.0044
# Hcoef: 7.42
The following table shows the complete astrometric record for 21LA44. 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 (21LA44) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 17 16.874 -21 06 24.62 23.8r 21LA44 266 C~6Ip2 2021 06 09.52601 19 17 16.476 -21 06 25.37 23.8r 21LA44 266 C~6Ip2 2021 06 09.61426 19 17 16.058 -21 06 26.15 23.8r 21LA44 266 C~6Ip2 2021 06 17.43605 19 16 38.126 -21 07 39.75 23.6r 21LA44 266 C~6Ip2 2021 06 17.50053 19 16 37.795 -21 07 40.39 23.6r 21LA44 266 C~6Ip2 2021 06 17.57953 19 16 37.389 -21 07 41.15 23.6r 21LA44 266 C~6Ip2 2021 07 05.35106 19 15 02.841 -21 10 48.24 23.7r 21LA44 266 C~6Ip2 2021 07 05.43951 19 15 02.346 -21 10 49.23 23.7r 21LA44 266 C~6Ip2 2021 07 05.52517 19 15 01.866 -21 10 50.17 23.7r 21LA44 266 C~6Ip2 2021 09 05.23105 19 10 21.109 -21 21 04.54 23.8r 21LA44 266 C~6Ip2 2021 09 05.31314 19 10 20.895 -21 21 05.11 23.8r 21LA44 266 C~6Ip2 2021 09 05.39641 19 10 20.680 -21 21 05.66 23.8r 21LA44 266 C~6Ip2 2022 10 20.21696 19 16 40.276 -21 19 26.65 22.6V 21LA44 266 C~7um8 2022 10 20.26058 19 16 40.367 -21 19 26.58 22.6V 21LA44 266 C~7um8 2022 10 20.29842 19 16 40.447 -21 19 26.52 22.6V 21LA44 266 C~7um8 2022 10 21.20926 19 16 42.477 -21 19 25.20 23.1V 21LA44 266 C~7um8 2022 10 21.25420 19 16 42.576 -21 19 25.13 23.1V 21LA44 266 C~7um8 2022 10 21.29846 19 16 42.674 -21 19 25.05 23.1V 21LA44 266 C~7um8 2022 10 23.20599 19 16 47.260 -21 19 21.92 22.5V 21LA44 266 C~7um8 2022 10 23.25093 19 16 47.368 -21 19 21.83 22.5V 21LA44 266 C~7um8 2022 10 23.29489 19 16 47.476 -21 19 21.73 22.5V 21LA44 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 -5.62 -0.01 -0.01 0.02
3 0.0005 -11.52 -0.01 -0.01 0.01
4 0.0219 -547.36 0.00 -3.39 -0.01
5 0.0221 -552.03 0.01 -3.42 -0.01
6 0.0223 -557.77 0.00 -3.43 0.00
7 0.0709 -1893.56 0.00 -17.83 0.01
8 0.0712 -1900.55 0.00 -17.92 0.01
9 0.0714 -1907.33 -0.00 -17.99 0.00
10 0.2404 -5879.40 0.00 -139.21 -0.02
11 0.2406 -5882.44 -0.00 -139.42 -0.02
12 0.2408 -5885.49 -0.00 -139.60 -0.01
13 1.3628 -609.91 0.04 -708.16 -0.03
14 1.3630 -608.64 0.03 -708.26 -0.03
15 1.3631 -607.53 0.04 -708.34 -0.03
16 1.3656 -579.23 -0.07 -710.74 0.07
17 1.3657 -577.85 -0.07 -710.85 0.07
18 1.3658 -576.48 -0.07 -710.95 0.06
19 1.3710 -512.54 0.04 -716.23 -0.03
20 1.3711 -511.04 0.02 -716.34 -0.03
21 1.3713 -509.53 0.04 -716.44 -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.
21LA44 quality flag:2 Type: 3:2E CENTAURR 3:2E axisobj 39.281 39.876 38.870 ecceobj 0.203 0.247 0.159 incobj 4.786 4.780 4.792 qmin 31.034 29.829 31.954 qmax 48.277 55.385 47.969 amean 39.456 40.561 39.460 amin 39.106 38.462 38.745 amax 39.875 43.034 40.202 emean 0.197 0.246 0.172 emin 0.180 0.199 0.147 emax 0.211 0.289 0.195 imean 3.064 4.408 3.809 imin 2.686 2.872 1.297 imax 3.744 6.032 6.464 excite_mean 0.204 0.259 0.186 fracstop 1.000 0.050 1.000 cjmean 3.004 2.985 3.013 libcent 0 180.8 -180.0 179.4 libamp 0 33.8 -180.0 164.7 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 193.2 161.3 169.8 kozaiamp 180.0 179.7 180.0