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: 21LQ44
# Created Tue Apr 1 01:11:25 2025
# 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:
-0.000008 0.015277 0.000007 0.005696 0.019514 0.000000
# Chi-squared of fit: 0.71 DOF: 30 RMS: 0.04
# Min/Max residuals: -0.07 0.04
# Exact a, adot, b, bdot, g, gdot:
1.223167E-05 1.526476E-02 4.771584E-06 5.817567E-03 1.962026E-02 3.463494E-04
# Covariance matrix:
2.8507E-13 -2.3625E-13 -3.3927E-14 5.2679E-13 4.5962E-13 6.6521E-11
-2.3625E-13 6.2236E-12 6.5371E-13 -1.0075E-11 -3.8203E-12 -1.2839E-09
-3.3927E-14 6.5371E-13 2.6261E-13 -1.3277E-12 -5.1240E-13 -1.5075E-10
5.2679E-13 -1.0075E-11 -1.3277E-12 1.8467E-11 7.9133E-12 2.3253E-09
4.5962E-13 -3.8203E-12 -5.1240E-13 7.9133E-12 4.0653E-12 1.0059E-09
6.6521E-11 -1.2839E-09 -1.5075E-10 2.3253E-09 1.0059E-09 2.9602E-07
# lat0 lon0 xBary yBary zBary JD0
0.899164 -72.425558 0.498693 0.013603 -0.880396 2459374.942811
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 172.66073 +/- 20.559
Argument of Peri: 188.70219 +/- 20.623
Long of Asc Node: 284.70435 +/- 0.001
Inclination: 20.81706 +/- 0.011
Eccentricity: 0.08408498 +/- 0.0031
Semi-Major Axis: 47.86106468 +/- 0.0319
Time of Perihelion: 2401365.8202 +/- 6906.4
Perihelion: 43.83666800 +/- 0.1504
Aphelion: 51.88546136 +/- 0.1516
Period (y) 331.1172 +/- 0.33
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 15.18621899 +/- 0.0016
Ecliptic Y -49.57759523 +/- 0.0050
Ecliptic Z 0.80014245 +/- 0.0001
Ecliptic XDOT 0.00204697 +/- 0.0000
Ecliptic YDOT 0.00061637 +/- 0.0001
Ecliptic ZDOT 0.00081226 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 51.85749149 +/- 0.0048
Geocenter to KBO 50.96771442 +/- 0.0052
# Hcoef: 6.35
The following table shows the complete astrometric record for 21LQ44. 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 (21LQ44) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 15 40.813 -21 23 35.59 23.9r 21LQ44 266 C~6Ip3 2021 06 09.52601 19 15 40.499 -21 23 35.83 23.9r 21LQ44 266 C~6Ip3 2021 06 09.61426 19 15 40.170 -21 23 36.07 23.9r 21LQ44 266 C~6Ip3 2021 06 17.43605 19 15 10.327 -21 24 00.51 23.9r 21LQ44 266 C~6Ip3 2021 06 17.50053 19 15 10.068 -21 24 00.73 23.9r 21LQ44 266 C~6Ip3 2021 06 17.57953 19 15 09.750 -21 24 00.99 23.9r 21LQ44 266 C~6Ip3 2021 09 05.23105 19 10 15.099 -21 28 37.85 24.2r 21LQ44 266 C~6Ip3 2021 09 05.31314 19 10 14.925 -21 28 37.95 24.2r 21LQ44 266 C~6Ip3 2021 09 05.39641 19 10 14.751 -21 28 38.03 24.2r 21LQ44 266 C~6Ip3 2022 10 20.21696 19 13 30.420 -21 01 39.40 23.2V 21LQ44 266 C~7um8 2022 10 20.26058 19 13 30.481 -21 01 39.21 23.2V 21LQ44 266 C~7um8 2022 10 20.29842 19 13 30.534 -21 01 39.04 23.2V 21LQ44 266 C~7um8 2022 10 21.20926 19 13 31.905 -21 01 35.00 22.9V 21LQ44 266 C~7um8 2022 10 21.25420 19 13 31.971 -21 01 34.80 22.9V 21LQ44 266 C~7um8 2022 10 21.29846 19 13 32.037 -21 01 34.59 22.9V 21LQ44 266 C~7um8 2022 10 23.20599 19 13 35.125 -21 01 25.94 23.2V 21LQ44 266 C~7um8 2022 10 23.25093 19 13 35.198 -21 01 25.72 23.2V 21LQ44 266 C~7um8 2022 10 23.29489 19 13 35.270 -21 01 25.50 23.2V 21LQ44 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 -0.02
2 0.0002 -4.38 0.01 0.33 -0.01
3 0.0005 -8.97 0.02 0.68 -0.02
4 0.0219 -425.44 -0.02 30.04 0.01
5 0.0221 -429.06 -0.01 30.28 0.01
6 0.0223 -433.50 -0.02 30.60 0.02
7 0.2404 -4550.69 -0.01 267.27 0.01
8 0.2406 -4553.12 -0.00 267.46 0.00
9 0.2408 -4555.54 0.02 267.68 0.00
10 1.3628 -1641.09 -0.06 1537.64 -0.07
11 1.3630 -1640.22 -0.06 1537.72 -0.07
12 1.3631 -1639.46 -0.06 1537.80 -0.07
13 1.3656 -1619.91 0.03 1539.39 0.04
14 1.3657 -1618.97 0.03 1539.48 0.03
15 1.3658 -1618.03 0.03 1539.57 0.04
16 1.3710 -1574.04 0.04 1542.71 0.03
17 1.3711 -1573.00 0.03 1542.80 0.04
18 1.3713 -1571.97 0.02 1542.90 0.04
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.
21LQ44 quality flag:2 Type: SCATNEAR SCATEXTD SCATEXTD axisobj 47.400 47.881 47.365 ecceobj 0.093 0.123 0.096 incobj 20.918 20.951 20.904 qmin 38.377 41.249 41.581 qmax 57.826 55.307 54.003 amean 47.776 48.123 47.587 amin 47.205 47.718 47.166 amax 48.462 48.554 48.048 emean 0.156 0.124 0.103 emin 0.085 0.108 0.086 emax 0.196 0.140 0.125 imean 21.592 22.515 22.368 imin 20.969 22.203 21.994 imax 22.729 22.812 22.659 excite_mean 0.401 0.402 0.394 fracstop 1.000 1.000 1.000 cjmean 2.943 2.943 2.945 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 197.8 185.8 178.1 kozaiamp 180.0 180.0 180.0