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: 21LS43 # Created Sun Nov 24 02:11:07 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 0.84y # First observation: 2021/06/07 # Last observation: 2022/04/08 Preliminary a, adot, b, bdot, g, gdot: -0.000026 0.011773 0.000000 -0.000685 0.015453 0.000000 # Chi-squared of fit: 2.89 DOF: 14 RMS: 0.09 # Min/Max residuals: -0.15 0.21 # Exact a, adot, b, bdot, g, gdot: 1.180252E-05 1.148971E-02 -4.019812E-07 -6.839187E-04 1.559346E-02 -7.633816E-03 # Covariance matrix: 5.7652E-13 4.2410E-12 -1.3052E-14 -1.9644E-13 3.7197E-12 3.8007E-10 4.2410E-12 1.4099E-10 -2.3014E-13 -5.1041E-12 8.5373E-11 9.9599E-09 -1.3052E-14 -2.3014E-13 2.6093E-13 -3.6516E-13 -1.7056E-13 -1.8104E-11 -1.9644E-13 -5.1041E-12 -3.6516E-13 1.4372E-12 -3.2714E-12 -3.7249E-10 3.7197E-12 8.5373E-11 -1.7056E-13 -3.2714E-12 5.7105E-11 6.3658E-09 3.8007E-10 9.9599E-09 -1.8104E-11 -3.7249E-10 6.3658E-09 7.2583E-07 # lat0 lon0 xBary yBary zBary JD0 -1.725012 -126.874233 -0.388631 -0.028295 -0.933896 2459372.508631 # Heliocentric elements and errors Epoch: 2459370.5000 = 2021/06/05 Mean Anomaly: 329.70281 +/- 6.053 Argument of Peri: 305.73763 +/- 1.012 Long of Asc Node: 26.79300 +/- 0.041 Inclination: 3.78173 +/- 0.005 Eccentricity: 0.60401849 +/- 0.0664 Semi-Major Axis: 92.75380612 +/- 11.7847 Time of Perihelion: 2486830.2050 +/- 1647.8 Perihelion: 36.72879178 +/- 7.7267 Aphelion: 148.77882047 +/- 19.8807 Period (y) 893.3174 +/- 170.25 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.70563742 +/- 0.0187 Ecliptic Y -52.26345883 +/- 0.0248 Ecliptic Z -1.93045662 +/- 0.0009 Ecliptic XDOT 0.00242544 +/- 0.0001 Ecliptic YDOT -0.00012881 +/- 0.0001 Ecliptic ZDOT -0.00007987 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 65.06398512 +/- 0.0228 Geocenter to KBO 64.12944850 +/- 0.0311 # Hcoef: 6.57
The following table shows the complete astrometric record for 21LS43. 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 (21LS43) followed by the observatory code and reference code for the source of the astrometry.
2021 06 07.00783 15 21 04.403 -20 13 23.49 24.7r 21LS43 807 C~6Eqe 2021 06 07.15758 15 21 03.949 -20 13 21.80 24.8r 21LS43 807 C~6Eqe 2021 06 18.96902 15 20 30.574 -20 11 13.12 24.8r 21LS43 304 C~6Eqe 2021 06 19.12491 15 20 30.156 -20 11 11.57 24.9r 21LS43 304 C~6Eqe 2021 06 19.27135 15 20 29.756 -20 11 09.76 24.9r 21LS43 304 C~6Eqe 2021 09 03.00160 15 19 41.700 -20 06 49.12 24.6r 21LS43 304 C~6Eqe 2021 09 03.04054 15 19 41.776 -20 06 49.11 24.5r 21LS43 304 C~6Eqe 2022 03 07.34748 15 27 54.446 -20 39 02.23 24.5r 21LS43 304 C~6Eqe 2022 04 08.24174 15 26 55.831 -20 36 30.69 24.3r 21LS43 304 C~6Eqe 2022 04 08.27621 15 26 55.730 -20 36 30.43 24.4r 21LS43 304 C~6Eqe
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 -0.03 0.00 -0.06
2 0.0004 -6.61 0.02 0.01 -0.05
3 0.0327 -493.71 0.08 4.74 -0.02
4 0.0332 -499.80 0.07 4.73 -0.07
5 0.0336 -505.70 -0.15 5.05 0.17
6 0.2409 -1226.59 -0.06 83.92 -0.11
7 0.2410 -1225.56 0.08 84.20 0.13
8 0.7484 5966.76 0.02 -53.01 0.21
9 0.8357 5131.26 0.05 -107.72 -0.08
10 0.8358 5129.82 -0.07 -107.81 -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.
21LS43 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0