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: 23FR54
# Created Wed Jul 17 01:11:59 2024
# Orbit generated from Bernstein formalism
# Fitting 10 observations of 10
# Arc: 0.97y
# First observation: 2023/03/21
# Last observation: 2024/03/08
Preliminary a, adot, b, bdot, g, gdot:
-0.000012 0.021425 0.000006 -0.003860 0.023005 0.000000
# Chi-squared of fit: 2.41 DOF: 14 RMS: 0.09
# Min/Max residuals: -0.18 0.12
# Exact a, adot, b, bdot, g, gdot:
1.432667E-05 2.131371E-02 -2.694819E-06 -3.848886E-03 2.323495E-02 -2.678033E-04
# Covariance matrix:
7.2517E-13 3.0388E-12 7.5988E-14 -6.9857E-13 2.5034E-12 1.6993E-10
3.0388E-12 4.8894E-10 6.9724E-12 -8.2295E-11 1.6900E-10 2.0630E-08
7.5988E-14 6.9724E-12 3.9704E-13 -1.5227E-12 2.5049E-12 2.9651E-10
-6.9857E-13 -8.2295E-11 -1.5227E-12 1.4691E-11 -2.8914E-11 -3.4864E-09
2.5034E-12 1.6900E-10 2.5049E-12 -2.8914E-11 6.2888E-11 7.2312E-09
1.6993E-10 2.0630E-08 2.9651E-10 -3.4864E-09 7.2312E-09 8.7362E-07
# lat0 lon0 xBary yBary zBary JD0
2.836918 157.204467 -0.391315 0.045592 -0.924518 2460024.799871
# Heliocentric elements and errors
Epoch: 2460020.5000 = 2023/03/17
Mean Anomaly: 182.36816 +/- 63.004
Argument of Peri: 342.60286 +/- 63.050
Long of Asc Node: 352.64606 +/- 0.003
Inclination: 10.66039 +/- 0.002
Eccentricity: 0.03781084 +/- 0.0019
Semi-Major Axis: 42.35661027 +/- 0.0172
Time of Perihelion: 2509702.4375 +/- 17621.7
Perihelion: 40.75507106 +/- 0.0835
Aphelion: 43.95814948 +/- 0.0838
Period (y) 275.6703 +/- 0.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -40.62464829 +/- 0.0135
Ecliptic Y 16.65253068 +/- 0.0057
Ecliptic Z 2.13001719 +/- 0.0007
Ecliptic XDOT -0.00096660 +/- 0.0001
Ecliptic YDOT -0.00231011 +/- 0.0000
Ecliptic ZDOT -0.00045456 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.95686295 +/- 0.0127
Geocenter to KBO 43.03861740 +/- 0.0147
# Hcoef: 6.14
The following table shows the complete astrometric record for 23FR54. 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 (23FR54) followed by the observatory code and reference code for the source of the astrometry.
2023 03 21.29907 10 39 57.110 +11 29 53.41 22.4r 23FR54 568 C~7xZn 2023 03 21.49670 10 39 56.264 +11 29 57.47 22.5r 23FR54 568 C~7xZn 2023 04 22.05788 10 38 08.974 +11 37 55.82 22.5r 23FR54 304 C~7xZn 2023 04 22.12657 10 38 08.786 +11 37 56.47 22.5r 23FR54 304 C~7xZn 2023 05 15.08792 10 37 33.582 +11 39 03.88 22.5r 23FR54 304 C~7xZn 2023 05 15.96946 10 37 33.100 +11 39 01.21 22.6r 23FR54 304 C~7xZn 2024 03 06.26934 10 45 15.671 +10 44 39.91 23FR54 G37 C~7xZn 2024 03 06.29451 10 45 15.558 +10 44 40.61 23FR54 G37 C~7xZn 2024 03 07.25858 10 45 11.200 +10 45 04.33 22.6r 23FR54 304 C~7xZn 2024 03 08.25091 10 45 06.732 +10 45 28.18 22.6r 23FR54 304 C~7xZn
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 0.04 0.00 0.02
2 0.0005 -13.05 -0.01 -0.89 -0.05
3 0.0870 -1654.32 0.07 -146.02 0.00
4 0.0871 -1657.13 -0.18 -146.44 -0.02
5 0.1500 -2162.26 -0.01 -276.56 0.02
6 0.1524 -2167.83 0.09 -281.67 0.05
7 0.9609 5366.35 0.12 -749.81 -0.13
8 0.9610 5364.54 0.12 -749.79 -0.03
9 0.9636 5296.07 -0.07 -752.13 0.10
10 0.9663 5226.05 -0.18 -754.96 0.05
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.
23FR54 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.581 43.445 42.443 ecceobj 0.034 0.101 0.062 incobj 10.644 10.644 10.646 qmin 40.413 38.338 39.147 qmax 45.026 48.774 46.054 amean 42.597 43.432 42.468 amin 42.278 43.083 42.132 amax 42.927 43.808 42.809 emean 0.035 0.097 0.053 emin 0.021 0.081 0.034 emax 0.050 0.115 0.076 imean 10.877 10.918 10.807 imin 10.129 10.210 10.001 imax 11.574 11.640 11.651 excite_mean 0.192 0.213 0.195 fracstop 1.000 1.000 1.000 cjmean 3.041 3.040 3.038 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 181.1 183.6 177.8 kozaiamp 179.9 180.0 180.0