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: 23FL57 # Created Wed Dec 25 02:11:20 2024 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 1.12y # First observation: 2023/03/21 # Last observation: 2024/05/04 Preliminary a, adot, b, bdot, g, gdot: 0.000010 0.019632 -0.000001 0.000823 0.021758 0.000000 # Chi-squared of fit: 6.26 DOF: 12 RMS: 0.15 # Min/Max residuals: -0.31 0.20 # Exact a, adot, b, bdot, g, gdot: 1.414494E-05 1.979611E-02 2.060898E-07 8.273241E-04 2.197708E-02 -1.033842E-03 # Covariance matrix: 7.3014E-13 1.3597E-12 -1.7834E-14 1.1768E-13 1.8655E-12 1.0778E-10 1.3597E-12 3.6099E-11 -2.5825E-13 2.7575E-12 1.9036E-11 2.4960E-09 -1.7834E-14 -2.5825E-13 3.4661E-13 -3.5944E-13 -1.5576E-13 -1.7968E-11 1.1768E-13 2.7575E-12 -3.5944E-13 8.5877E-13 1.4351E-12 1.9470E-10 1.8655E-12 1.9036E-11 -1.5576E-13 1.4351E-12 1.3208E-11 1.3030E-09 1.0778E-10 2.4960E-09 -1.7968E-11 1.9470E-10 1.3030E-09 1.7618E-07 # lat0 lon0 xBary yBary zBary JD0 -1.258655 159.511801 -0.354032 -0.020883 -0.940310 2460024.818081 # Heliocentric elements and errors Epoch: 2460020.5000 = 2023/03/17 Mean Anomaly: 224.49531 +/- 14.160 Argument of Peri: 113.23660 +/- 14.069 Long of Asc Node: 187.01103 +/- 0.022 Inclination: 2.70890 +/- 0.002 Eccentricity: 0.06373333 +/- 0.0128 Semi-Major Axis: 44.33755323 +/- 0.0860 Time of Perihelion: 2500609.4533 +/- 4239.8 Perihelion: 41.51177342 +/- 0.5733 Aphelion: 47.16333304 +/- 0.5750 Period (y) 295.2336 +/- 0.86 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -43.60964837 +/- 0.0070 Ecliptic Y 15.92006567 +/- 0.0027 Ecliptic Z -0.99947217 +/- 0.0002 Ecliptic XDOT -0.00074660 +/- 0.0000 Ecliptic YDOT -0.00234572 +/- 0.0000 Ecliptic ZDOT 0.00010584 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.43542684 +/- 0.0067 Geocenter to KBO 45.50194206 +/- 0.0075 # Hcoef: 6.37
The following table shows the complete astrometric record for 23FL57. 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 (23FL57) followed by the observatory code and reference code for the source of the astrometry.
2023 03 21.31728 10 42 24.106 +06 50 12.30 22.9r 23FL57 T09 C~83ID 2023 03 21.51709 10 42 23.314 +06 50 17.15 22.9r 23FL57 T09 C~83ID 2023 04 22.10011 10 40 43.705 +07 01 06.01 23.0r 23FL57 304 C~83ID 2023 05 15.10664 10 40 10.668 +07 05 11.65 23.2r 23FL57 304 C~83ID 2023 05 16.08784 10 40 10.189 +07 05 17.15 23.0r 23FL57 304 C~83ID 2024 04 12.00469 10 45 24.491 +06 35 38.25 23.1r 23FL57 304 C~83ID 2024 04 12.12534 10 45 24.127 +06 35 40.56 23.0r 23FL57 304 C~83ID 2024 05 04.01891 10 44 35.930 +06 41 13.10 23.0r 23FL57 304 C~83ID 2024 05 04.07898 10 44 35.855 +06 41 13.64 23.0r 23FL57 304 C~83ID
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 0.08 2 0.0005 -12.75 -0.04 0.07 0.02 3 0.0870 -1631.09 0.11 45.59 0.05 4 0.1500 -2179.14 -0.27 89.27 -0.31 5 0.1527 -2187.81 0.17 91.71 0.12 6 1.0614 2818.84 0.03 200.49 0.20 7 1.0618 2812.94 -0.04 200.59 0.16 8 1.1217 2022.37 -0.12 238.27 -0.15 9 1.1219 2021.13 0.14 238.35 -0.16
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.
23FL57 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.551 44.731 44.504 ecceobj 0.060 0.104 0.052 incobj 2.707 2.706 2.708 qmin 41.180 39.465 41.409 qmax 48.282 50.448 47.858 amean 44.616 44.820 44.556 amin 44.264 44.458 44.202 amax 44.977 45.215 44.928 emean 0.059 0.102 0.050 emin 0.044 0.087 0.033 emax 0.074 0.116 0.066 imean 3.463 3.539 3.475 imin 2.864 2.862 2.864 imax 4.033 4.153 4.005 excite_mean 0.085 0.119 0.079 fracstop 1.000 1.000 1.000 cjmean 3.100 3.094 3.101 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 181.5 178.5 180.5 kozaiamp 179.9 179.9 179.9