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: 21LB45
# Created Wed Mar 26 01:11:28 2025
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 1.37y
# First observation: 2021/06/09
# Last observation: 2022/10/21
Preliminary a, adot, b, bdot, g, gdot:
-0.000016 0.031518 0.000009 0.004869 0.027720 0.000000
# Chi-squared of fit: 1.71 DOF: 24 RMS: 0.06
# Min/Max residuals: -0.13 0.13
# Exact a, adot, b, bdot, g, gdot:
1.811077E-05 3.188731E-02 3.019968E-06 5.021031E-03 2.802020E-02 2.031659E-03
# Covariance matrix:
3.1223E-13 1.4296E-12 -5.4634E-14 8.5568E-13 1.2296E-12 1.3277E-10
1.4296E-12 4.5854E-11 -1.7904E-12 2.7872E-11 3.3186E-11 4.3492E-09
-5.4634E-14 -1.7904E-12 2.5786E-13 -1.2540E-12 -1.2947E-12 -1.7260E-10
8.5568E-13 2.7872E-11 -1.2540E-12 1.7460E-11 2.0161E-11 2.6857E-09
1.2296E-12 3.3186E-11 -1.2947E-12 2.0161E-11 2.4246E-11 3.1450E-09
1.3277E-10 4.3492E-09 -1.7260E-10 2.6857E-09 3.1450E-09 4.1926E-07
# lat0 lon0 xBary yBary zBary JD0
1.272169 -73.217883 0.486470 0.019485 -0.887099 2459374.942811
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 8.29173 +/- 3.241
Argument of Peri: 353.87736 +/- 5.588
Long of Asc Node: 278.18807 +/- 0.003
Inclination: 9.02314 +/- 0.004
Eccentricity: 0.24477227 +/- 0.0066
Semi-Major Axis: 48.15788334 +/- 0.1784
Time of Perihelion: 2456558.9728 +/- 1099.0
Perihelion: 36.37016911 +/- 0.3434
Aphelion: 59.94559756 +/- 0.3861
Period (y) 334.2022 +/- 1.86
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 10.10062797 +/- 0.0018
Ecliptic Y -35.15489308 +/- 0.0060
Ecliptic Z 0.79253138 +/- 0.0001
Ecliptic XDOT 0.00304274 +/- 0.0000
Ecliptic YDOT 0.00072715 +/- 0.0001
Ecliptic ZDOT 0.00049470 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 36.58575268 +/- 0.0058
Geocenter to KBO 35.68854016 +/- 0.0063
# Hcoef: 10.31
The following table shows the complete astrometric record for 21LB45. 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 (21LB45) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 12 06.326 -21 07 22.99 25.9r 21LB45 266 C~6Ip3 2021 06 09.52741 19 12 05.903 -21 07 23.38 25.9r 21LB45 266 C~6Ip3 2021 06 09.61426 19 12 05.473 -21 07 23.75 25.9r 21LB45 266 C~6Ip3 2021 06 17.43605 19 11 25.863 -21 08 02.64 25.5r 21LB45 266 C~6Ip3 2021 06 17.50053 19 11 25.518 -21 08 02.99 25.5r 21LB45 266 C~6Ip3 2021 06 17.57953 19 11 25.094 -21 08 03.40 25.5r 21LB45 266 C~6Ip3 2021 09 06.23258 19 04 59.472 -21 15 42.26 26.3r 21LB45 266 C~6Ip3 2021 09 06.31281 19 04 59.284 -21 15 42.47 26.3r 21LB45 266 C~6Ip3 2021 09 06.39352 19 04 59.096 -21 15 42.66 26.3r 21LB45 266 C~6Ip3 2022 10 20.21696 19 12 31.630 -20 45 52.93 21LB45 266 C~8ebn 2022 10 20.26058 19 12 31.734 -20 45 52.73 21LB45 266 C~8ebn 2022 10 20.29842 19 12 31.826 -20 45 52.54 21LB45 266 C~8ebn 2022 10 21.20926 19 12 34.152 -20 45 48.70 21LB45 266 C~8ebn 2022 10 21.25420 19 12 34.264 -20 45 48.48 21LB45 266 C~8ebn 2022 10 21.29846 19 12 34.376 -20 45 48.26 21LB45 266 C~8ebn
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 -0.04
2 0.0002 -5.92 -0.02 0.34 -0.03
3 0.0005 -11.94 -0.02 0.72 -0.03
4 0.0219 -566.73 0.02 30.06 0.02
5 0.0221 -571.57 0.03 30.30 0.02
6 0.0223 -577.51 0.02 30.62 0.03
7 0.2431 -5988.75 -0.04 206.06 0.01
8 0.2433 -5991.39 0.00 206.15 0.01
9 0.2435 -5994.02 0.03 206.25 0.01
10 1.3628 511.04 -0.02 1236.45 0.12
11 1.3630 512.51 -0.03 1236.47 0.12
12 1.3631 513.81 -0.02 1236.49 0.13
13 1.3656 546.66 0.03 1236.27 -0.13
14 1.3657 548.25 0.02 1236.29 -0.12
15 1.3658 549.84 0.02 1236.31 -0.12
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.
21LB45 quality flag:1 Type: 2:1E SCATNEAR SCATEXTD axisobj 47.419 49.050 46.262 ecceobj 0.234 0.276 0.205 incobj 9.058 9.070 9.046 qmin 35.187 34.612 36.060 qmax 61.050 65.194 57.563 amean 47.798 49.116 46.562 amin 47.296 48.397 46.150 amax 48.397 50.183 47.069 emean 0.237 0.277 0.210 emin 0.209 0.259 0.194 emax 0.263 0.300 0.224 imean 10.631 10.500 10.641 imin 9.832 9.632 9.897 imax 11.645 11.291 11.285 excite_mean 0.301 0.331 0.279 fracstop 1.000 1.000 1.000 cjmean 3.035 3.026 3.036 libcent 0 280.9 -180.0 -180.0 libamp 0 23.6 -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 194.9 177.5 179.5 kozaiamp 180.0 180.0 180.0