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: 23FM57 # Created Fri Nov 22 02:11:16 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: 0.000025 0.027337 -0.000015 0.009556 0.026754 0.000000 # Chi-squared of fit: 5.06 DOF: 12 RMS: 0.13 # Min/Max residuals: -0.17 0.25 # Exact a, adot, b, bdot, g, gdot: 1.639349E-05 2.745537E-02 6.402713E-06 9.505602E-03 2.705403E-02 -3.888922E-03 # Covariance matrix: 7.3701E-13 3.5575E-13 6.2329E-15 3.9956E-13 8.9173E-13 3.8892E-11 3.5575E-13 1.5411E-11 -6.2861E-13 8.4593E-12 7.9095E-12 7.7101E-10 6.2329E-15 -6.2861E-13 4.2377E-13 -7.6738E-13 -2.7701E-13 -3.3060E-11 3.9956E-13 8.4593E-12 -7.6738E-13 5.5772E-12 4.4933E-12 4.4364E-10 8.9173E-13 7.9095E-12 -2.7701E-13 4.4933E-12 5.0217E-12 4.1345E-10 3.8892E-11 7.7101E-10 -3.3060E-11 4.4364E-10 4.1345E-10 4.0428E-08 # lat0 lon0 xBary yBary zBary JD0 13.103297 -164.879161 0.258036 0.219978 -0.946079 2460024.923041 # Heliocentric elements and errors Epoch: 2460020.5000 = 2023/03/17 Mean Anomaly: 318.77235 +/- 0.663 Argument of Peri: 92.42896 +/- 1.314 Long of Asc Node: 162.33946 +/- 0.005 Inclination: 22.94168 +/- 0.003 Eccentricity: 0.18522296 +/- 0.0064 Semi-Major Axis: 43.11462422 +/- 0.1004 Time of Perihelion: 2471862.3996 +/- 185.9 Perihelion: 35.12880574 +/- 0.2859 Aphelion: 51.10044270 +/- 0.2987 Period (y) 283.1034 +/- 0.99 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -35.75008844 +/- 0.0029 Ecliptic Y -9.39520852 +/- 0.0008 Ecliptic Z 8.38005012 +/- 0.0007 Ecliptic XDOT 0.00130344 +/- 0.0000 Ecliptic YDOT -0.00251669 +/- 0.0000 Ecliptic ZDOT 0.00084767 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.90203170 +/- 0.0027 Geocenter to KBO 36.96307285 +/- 0.0031 # Hcoef: 7.29
The following table shows the complete astrometric record for 23FM57. 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 (23FM57) followed by the observatory code and reference code for the source of the astrometry.
2023 03 21.42224 13 15 53.809 +06 08 20.05 22.9r 23FM57 T09 C~83ID 2023 03 21.60881 13 15 52.967 +06 08 27.62 23.0r 23FM57 T09 C~83ID 2023 06 11.00523 13 10 25.471 +06 38 21.29 23.0r 23FM57 304 C~83ID 2023 06 11.10436 13 10 25.270 +06 38 21.04 23.1r 23FM57 304 C~83ID 2023 06 23.12429 13 10 10.040 +06 36 48.45 23.0r 23FM57 304 C~83ID 2024 04 12.17820 13 20 48.656 +06 16 06.40 23.0r 23FM57 304 C~83ID 2024 04 12.19262 13 20 48.552 +06 16 06.77 23.0r 23FM57 304 C~83ID 2024 05 04.16765 13 19 04.768 +06 26 28.70 23.1r 23FM57 304 C~83ID 2024 05 04.19271 13 19 04.649 +06 26 29.20 23.1r 23FM57 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 -0.07 0.00 -0.17
2 0.0005 -14.51 0.08 2.13 -0.05
3 0.2234 -5211.77 0.05 -222.08 0.02
4 0.2236 -5214.44 -0.17 -223.46 0.04
5 0.2565 -5388.58 0.12 -396.10 0.23
6 1.0616 3873.66 0.25 2133.10 0.22
7 1.0617 3872.09 -0.15 2132.84 -0.07
8 1.1218 2204.33 -0.02 2105.62 -0.06
9 1.1219 2202.50 -0.08 2105.39 -0.15
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.
23FM57 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.206 43.271 43.167 ecceobj 0.185 0.197 0.177 incobj 22.940 22.933 22.946 qmin 34.845 34.473 35.171 qmax 52.327 52.928 51.979 amean 43.423 43.483 43.381 amin 43.047 43.104 43.014 amax 43.844 43.907 43.802 emean 0.176 0.186 0.169 emin 0.158 0.167 0.152 emax 0.195 0.205 0.187 imean 22.534 22.572 22.506 imin 21.933 21.922 21.929 imax 23.129 23.209 23.081 excite_mean 0.422 0.427 0.418 fracstop 1.000 1.000 1.000 cjmean 2.877 2.873 2.880 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 187.3 182.4 189.2 kozaiamp 179.9 180.0 180.0