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: 23FZ54 # Created Wed Jul 17 01:11:59 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 0.97y # First observation: 2023/03/21 # Last observation: 2024/03/08 Preliminary a, adot, b, bdot, g, gdot: -0.000015 0.026157 -0.000002 0.002221 0.025543 0.000000 # Chi-squared of fit: 4.86 DOF: 10 RMS: 0.14 # Min/Max residuals: -0.22 0.34 # Exact a, adot, b, bdot, g, gdot: 1.574040E-05 2.611909E-02 1.872391E-06 2.222101E-03 2.584878E-02 3.080516E-03 # Covariance matrix: 7.4064E-13 4.8859E-12 -4.9442E-14 4.8213E-13 3.0753E-12 2.0680E-10 4.8859E-12 7.2192E-10 -4.9706E-12 5.8275E-11 2.4262E-10 2.5478E-08 -4.9442E-14 -4.9706E-12 3.3327E-13 -7.7569E-13 -1.7160E-12 -1.7640E-10 4.8213E-13 5.8275E-11 -7.7569E-13 5.9510E-12 1.9803E-11 2.0631E-09 3.0753E-12 2.4262E-10 -1.7160E-12 1.9803E-11 8.5898E-11 8.6447E-09 2.0680E-10 2.5478E-08 -1.7640E-10 2.0631E-09 8.6447E-09 9.0176E-07 # lat0 lon0 xBary yBary zBary JD0 -1.432977 157.803437 -0.381318 -0.023472 -0.929499 2460024.781511 # Heliocentric elements and errors Epoch: 2460020.5000 = 2023/03/17 Mean Anomaly: 64.84255 +/- 1.092 Argument of Peri: 264.29165 +/- 2.691 Long of Asc Node: 174.27349 +/- 0.007 Inclination: 5.08862 +/- 0.002 Eccentricity: 0.13462418 +/- 0.0367 Semi-Major Axis: 41.30961467 +/- 0.4144 Time of Perihelion: 2442552.9194 +/- 132.1 Perihelion: 35.74834157 +/- 1.5564 Aphelion: 46.87088776 +/- 1.5859 Period (y) 265.5125 +/- 4.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.80464391 +/- 0.0128 Ecliptic Y 14.60888209 +/- 0.0053 Ecliptic Z -0.96737622 +/- 0.0003 Ecliptic XDOT -0.00135450 +/- 0.0001 Ecliptic YDOT -0.00242731 +/- 0.0000 Ecliptic ZDOT 0.00022710 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.60981023 +/- 0.0121 Geocenter to KBO 38.68654229 +/- 0.0139 # Hcoef: 7.24
The following table shows the complete astrometric record for 23FZ54. 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 (23FZ54) followed by the observatory code and reference code for the source of the astrometry.
2023 03 21.28071 10 35 45.190 +07 18 45.49 23.1r 23FZ54 568 C~7xZo 2023 03 21.47603 10 35 44.308 +07 18 50.96 23.0r 23FZ54 568 C~7xZo 2023 04 22.04597 10 33 53.953 +07 31 15.33 23.3r 23FZ54 304 C~7xZo 2023 04 22.11575 10 33 53.788 +07 31 16.60 23.0r 23FZ54 304 C~7xZo 2023 05 15.08371 10 33 21.352 +07 35 47.13 23.4r 23FZ54 304 C~7xZo 2023 05 16.06978 10 33 21.028 +07 35 52.73 23.1r 23FZ54 304 C~7xZo 2024 03 07.21938 10 42 32.108 +06 45 57.51 23.2r 23FZ54 304 C~7xZo 2024 03 08.24755 10 42 27.209 +06 46 28.60 23.3r 23FZ54 304 C~7xZo
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 0.05 0.00 -0.11
2 0.0005 -14.22 -0.06 0.21 -0.22
3 0.0870 -1814.73 -0.03 82.79 0.25
4 0.0872 -1817.48 0.06 83.06 0.34
5 0.1500 -2365.74 -0.03 155.82 -0.19
6 0.1527 -2372.28 0.01 159.24 -0.06
7 0.9636 6356.62 0.07 433.89 0.05
8 0.9664 6277.24 -0.07 435.37 -0.06
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.
23FZ54 quality flag:2 Type: SCATNEAR SCATNEAR CLASSICAL axisobj 41.599 43.801 40.200 ecceobj 0.138 0.228 0.050 incobj 5.082 5.082 5.082 qmin 34.060 33.470 36.472 qmax 49.624 54.577 44.063 amean 41.568 43.346 40.195 amin 41.203 42.225 39.885 amax 42.069 44.294 40.535 emean 0.133 0.195 0.043 emin 0.102 0.155 0.008 emax 0.181 0.234 0.089 imean 7.974 3.771 8.076 imin 4.535 0.716 4.533 imax 10.762 6.272 12.456 excite_mean 0.194 0.208 0.148 fracstop 1.000 1.000 1.000 cjmean 3.027 3.043 3.031 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 182.9 179.8 181.3 kozaiamp 180.0 179.9 180.0