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: 21LO43 # Created Wed May 8 01:18:42 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 0.84y # First observation: 2021/06/06 # Last observation: 2022/04/08 Preliminary a, adot, b, bdot, g, gdot: -0.000019 0.011076 -0.000005 0.002936 0.015758 0.000000 # Chi-squared of fit: 5.18 DOF: 10 RMS: 0.14 # Min/Max residuals: -0.21 0.33 # Exact a, adot, b, bdot, g, gdot: 1.159853E-05 1.103137E-02 2.752744E-06 2.960220E-03 1.602867E-02 5.463105E-03 # Covariance matrix: 7.1063E-13 -1.3626E-12 -4.4422E-15 2.2839E-14 5.4724E-13 8.3794E-12 -1.3626E-12 6.9126E-10 -1.1768E-11 1.2135E-10 3.7065E-10 4.6031E-08 -4.4422E-15 -1.1768E-11 6.4540E-13 -2.7309E-12 -6.3830E-12 -7.8899E-10 2.2839E-14 1.2135E-10 -2.7309E-12 2.3093E-11 6.5740E-11 8.1312E-09 5.4724E-13 3.7065E-10 -6.3830E-12 6.5740E-11 2.0246E-10 2.4936E-08 8.3794E-12 4.6031E-08 -7.8899E-10 8.1312E-09 2.4936E-08 3.0843E-06 # lat0 lon0 xBary yBary zBary JD0 -0.491473 -121.108847 -0.277951 -0.008522 -0.972984 2459371.594141 # Heliocentric elements and errors Epoch: 2459370.5000 = 2021/06/05 Mean Anomaly: 65.42039 +/- 24.111 Argument of Peri: 242.39378 +/- 7.249 Long of Asc Node: 240.95157 +/- 0.001 Inclination: 15.04344 +/- 0.007 Eccentricity: 0.43191872 +/- 0.1121 Semi-Major Axis: 63.28129458 +/- 7.5206 Time of Perihelion: 2425956.9891 +/- 10778.2 Perihelion: 35.94891874 +/- 8.2825 Aphelion: 90.61367042 +/- 12.8964 Period (y) 503.4093 +/- 89.74 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -32.48915055 +/- 0.0286 Ecliptic Y -54.39608624 +/- 0.0474 Ecliptic Z -0.53493803 +/- 0.0004 Ecliptic XDOT 0.00113453 +/- 0.0002 Ecliptic YDOT -0.00176907 +/- 0.0003 Ecliptic ZDOT 0.00049742 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 63.36217531 +/- 0.0433 Geocenter to KBO 62.38820143 +/- 0.0554 # Hcoef: 6.48
The following table shows the complete astrometric record for 21LO43. 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 (21LO43) followed by the observatory code and reference code for the source of the astrometry.
2021 06 06.09334 15 46 12.371 -20 23 28.55 24.8r 21LO43 807 C~6DKi 2021 06 07.08147 15 46 09.163 -20 23 16.83 24.6r 21LO43 807 C~6DKi 2021 09 02.00133 15 44 13.960 -20 14 10.53 24.7r 21LO43 304 C~6DKi 2021 09 02.99310 15 44 15.220 -20 14 12.78 24.4r 21LO43 304 C~6DKi 2021 09 03.07903 15 44 15.320 -20 14 13.06 24.5r 21LO43 304 C~6DKi 2022 03 07.35915 15 52 55.736 -20 36 10.07 24.3r 21LO43 304 C~6DKi 2022 04 08.29179 15 52 06.092 -20 32 56.30 24.2r 21LO43 304 C~6DKi 2022 04 08.33743 15 52 05.988 -20 32 55.99 24.3r 21LO43 304 C~6DKi
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 -0.15 0.00 0.03
2 0.0027 -46.58 0.23 1.54 -0.21
3 0.2407 -1747.82 0.00 176.61 0.33
4 0.2434 -1730.03 0.01 178.36 0.03
5 0.2436 -1728.60 -0.09 178.40 -0.11
6 0.7509 5700.40 -0.20 470.54 0.00
7 0.8383 4977.62 0.03 513.69 -0.01
8 0.8385 4976.13 0.17 513.69 -0.07
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.
21LO43 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