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: 23FO61 # Created Mon Jul 7 01:12:06 2025 # Orbit generated from Bernstein formalism # Fitting 4 observations of 4 # Arc: 31.84d # First observation: 2023/03/21 # Last observation: 2023/04/22 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.031996 0.000000 0.001890 0.025317 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 0.57 DOF: 3 RMS: 0.07 # Min/Max residuals: -0.11 0.11 # Exact a, adot, b, bdot, g, gdot: 1.563095E-05 2.387532E-02 1.609873E-06 2.030319E-03 2.381609E-02 8.264111E-04 # Covariance matrix: 3.0718E-11 4.1677E-08 -2.7761E-13 -6.2321E-10 8.4756E-09 -2.6885E-08 4.1677E-08 5.7952E-05 -3.8617E-10 -8.6702E-07 1.1778E-05 -4.0377E-05 -2.7761E-13 -3.8617E-10 7.3042E-13 -2.5935E-12 -7.8381E-11 3.3233E-10 -6.2321E-10 -8.6702E-07 -2.5935E-12 1.3203E-08 -1.7593E-07 7.7452E-07 8.4756E-09 1.1778E-05 -7.8381E-11 -1.7593E-07 2.3959E-06 -6.8496E-06 -2.6885E-08 -4.0377E-05 3.3233E-10 7.7452E-07 -6.8496E-06 8.5395E-04 # lat0 lon0 xBary yBary zBary JD0 -1.116901 157.341820 -0.388797 -0.018284 -0.926512 2460024.781511 # Heliocentric elements and errors Epoch: 2460020.5000 = 2023/03/17 Mean Anomaly: 22.62822 +/- 173.955 Argument of Peri: 319.41828 +/- 315.392 Long of Asc Node: 170.43444 +/- 4.593 Inclination: 5.00627 +/- 1.784 Eccentricity: 0.10601144 +/- 0.6710 Semi-Major Axis: 47.45998694 +/- 21.8175 Time of Perihelion: 2452513.9941 +/- 177054.3 Perihelion: 42.42868556 +/- 37.3460 Aphelion: 52.49128831 +/- 39.9571 Period (y) 326.9638 +/- 225.46 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -39.73663500 +/- 2.5178 Ecliptic Y 16.17044136 +/- 1.0513 Ecliptic Z -0.81837882 +/- 0.0532 Ecliptic XDOT -0.00115109 +/- 0.0031 Ecliptic YDOT -0.00248577 +/- 0.0016 Ecliptic ZDOT 0.00023148 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 42.90865972 +/- 2.3651 Geocenter to KBO 41.98842360 +/- 2.7290 # Hcoef: 7.60
The following table shows the complete astrometric record for 23FO61. 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 (23FO61) followed by the observatory code and reference code for the source of the astrometry.
2023 03 21.28071 10 34 29.813 +07 46 38.42 23.7r 23FO61 T09 C~8vOI 2023 03 21.47603 10 34 29.006 +07 46 43.60 24.0r 23FO61 T09 C~8vOI 2023 04 22.04981 10 32 47.450 +07 57 56.60 24.0r 23FO61 269 C~8vOI 2023 04 22.11966 10 32 47.299 +07 57 57.87 23.8r 23FO61 269 C~8vOI
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 -0.05
2 0.0005 -13.06 -0.05 0.37 0.05
3 0.0870 -1664.00 -0.02 67.27 -0.11
4 0.0872 -1666.55 0.02 67.62 0.11
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.
23FO61 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