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: 21LY43
# Created Mon Apr 28 01:11:26 2025
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 1.37y
# First observation: 2021/06/09
# Last observation: 2022/10/21
Preliminary a, adot, b, bdot, g, gdot:
-0.000033 0.025489 -0.000004 -0.002260 0.024754 0.000000
# Chi-squared of fit: 0.39 DOF: 30 RMS: 0.03
# Min/Max residuals: -0.05 0.04
# Exact a, adot, b, bdot, g, gdot:
1.622966E-05 2.562680E-02 -1.642392E-06 -2.321698E-03 2.493378E-02 -1.471740E-03
# Covariance matrix:
3.3203E-13 7.9848E-13 4.2422E-14 -6.4861E-13 1.2733E-12 1.7875E-10
7.9848E-13 5.2945E-12 2.7460E-13 -4.2004E-12 7.2834E-12 1.1544E-09
4.2422E-14 2.7460E-13 1.5545E-13 -3.6574E-13 4.0334E-13 6.9413E-11
-6.4861E-13 -4.2004E-12 -3.6574E-13 4.0979E-12 -6.1700E-12 -1.0621E-09
1.2733E-12 7.2834E-12 4.0334E-13 -6.1700E-12 1.0514E-11 1.6951E-09
1.7875E-10 1.1544E-09 6.9413E-11 -1.0621E-09 1.6951E-09 2.9142E-07
# lat0 lon0 xBary yBary zBary JD0
1.077690 -72.021140 0.504896 0.016279 -0.876808 2459374.942811
# Heliocentric elements and errors
Epoch: 2459370.5000 = 2021/06/05
Mean Anomaly: 332.71826 +/- 5.777
Argument of Peri: 204.01957 +/- 8.082
Long of Asc Node: 118.80520 +/- 0.005
Inclination: 5.26386 +/- 0.002
Eccentricity: 0.13534064 +/- 0.0132
Semi-Major Axis: 46.35388845 +/- 0.1607
Time of Perihelion: 2468106.1921 +/- 1849.3
Perihelion: 40.08032373 +/- 0.6296
Aphelion: 52.62745317 +/- 0.6406
Period (y) 315.6003 +/- 1.64
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 12.17595436 +/- 0.0016
Ecliptic Y -39.13586692 +/- 0.0050
Ecliptic Z 0.75433426 +/- 0.0001
Ecliptic XDOT 0.00263372 +/- 0.0000
Ecliptic YDOT 0.00102482 +/- 0.0001
Ecliptic ZDOT -0.00025812 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.99315753 +/- 0.0048
Geocenter to KBO 40.10623239 +/- 0.0052
# Hcoef: 9.00
The following table shows the complete astrometric record for 21LY43. 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 (21LY43) followed by the observatory code and reference code for the source of the astrometry.
2021 06 09.44201 19 17 18.078 -21 09 48.66 25.0r 21LY43 266 C~6Ip2 2021 06 09.52741 19 17 17.701 -21 09 49.40 25.0r 21LY43 266 C~6Ip2 2021 06 09.61426 19 17 17.317 -21 09 50.13 25.0r 21LY43 266 C~6Ip2 2021 06 17.43605 19 16 41.938 -21 11 00.41 25.0r 21LY43 266 C~6Ip2 2021 06 17.50053 19 16 41.629 -21 11 01.03 25.0r 21LY43 266 C~6Ip2 2021 06 17.57953 19 16 41.251 -21 11 01.76 25.0r 21LY43 266 C~6Ip2 2021 07 05.35106 19 15 13.069 -21 13 59.66 25.0r 21LY43 266 C~6Ip2 2021 07 05.43951 19 15 12.607 -21 14 00.60 25.0r 21LY43 266 C~6Ip2 2021 07 05.52517 19 15 12.160 -21 14 01.49 25.0r 21LY43 266 C~6Ip2 2021 09 05.23105 19 10 50.418 -21 23 44.33 25.2r 21LY43 266 C~6Ip2 2021 09 05.31314 19 10 50.220 -21 23 44.88 25.2r 21LY43 266 C~6Ip2 2021 09 05.39641 19 10 50.019 -21 23 45.41 25.2r 21LY43 266 C~6Ip2 2022 10 20.21696 19 16 56.204 -21 22 50.47 21LY43 266 C~8ebm 2022 10 20.26058 19 16 56.290 -21 22 50.41 21LY43 266 C~8ebm 2022 10 20.29842 19 16 56.365 -21 22 50.36 21LY43 266 C~8ebm 2022 10 21.20926 19 16 58.287 -21 22 49.24 21LY43 266 C~8ebn 2022 10 21.25420 19 16 58.381 -21 22 49.17 21LY43 266 C~8ebn 2022 10 21.29846 19 16 58.473 -21 22 49.09 21LY43 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 0.00 0.00 0.04
2 0.0002 -5.33 0.01 -0.04 0.03
3 0.0005 -10.75 0.00 -0.06 0.03
4 0.0219 -510.55 -0.03 -4.81 -0.03
5 0.0221 -514.91 -0.03 -4.86 -0.04
6 0.0223 -520.25 -0.02 -4.90 -0.04
7 0.0709 -1766.09 0.03 -21.54 0.04
8 0.0712 -1772.62 0.02 -21.64 0.04
9 0.0714 -1778.93 0.03 -21.72 0.04
10 0.2404 -5481.90 -0.01 -143.02 -0.04
11 0.2406 -5484.72 0.00 -143.23 -0.05
12 0.2408 -5487.57 -0.01 -143.41 -0.05
13 1.3628 -405.82 0.01 -734.87 0.02
14 1.3630 -404.62 0.01 -734.97 0.02
15 1.3631 -403.57 0.01 -735.06 0.01
16 1.3656 -376.81 -0.01 -737.46 -0.01
17 1.3657 -375.50 -0.00 -737.57 -0.01
18 1.3658 -374.22 -0.01 -737.66 -0.01
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.
21LY43 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.766 45.956 45.753 ecceobj 0.128 0.163 0.126 incobj 5.276 5.269 5.276 qmin 39.427 37.972 39.526 qmax 53.013 54.827 52.772 amean 46.014 46.189 45.989 amin 45.625 45.780 45.605 amax 46.439 46.640 46.409 emean 0.128 0.163 0.125 emin 0.115 0.149 0.111 emax 0.142 0.176 0.138 imean 3.799 3.781 3.787 imin 3.360 3.283 3.357 imax 4.325 4.405 4.290 excite_mean 0.145 0.176 0.141 fracstop 1.000 1.000 1.000 cjmean 3.101 3.091 3.102 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 185.3 182.2 185.9 kozaiamp 180.0 180.0 180.0