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: 21FQ54 # Created Tue Apr 1 01:11:24 2025 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 2.04y # First observation: 2020/03/24 # Last observation: 2022/04/09 Preliminary a, adot, b, bdot, g, gdot: 0.000043 0.014222 -0.000011 -0.002303 0.017925 0.000000 # Chi-squared of fit: 2.40 DOF: 12 RMS: 0.09 # Min/Max residuals: -0.19 0.17 # Exact a, adot, b, bdot, g, gdot: 1.286139E-05 1.442200E-02 -2.422705E-06 -2.338680E-03 1.785391E-02 6.528392E-03 # Covariance matrix: 7.2786E-13 -1.0180E-12 -2.3572E-14 1.1245E-13 -7.6481E-13 -2.2985E-11 -1.0180E-12 3.3185E-12 1.1378E-13 -5.0049E-13 2.0968E-12 1.0086E-10 -2.3572E-14 1.1378E-13 5.5827E-13 -3.4086E-13 3.3889E-14 3.7644E-12 1.1245E-13 -5.0049E-13 -3.4086E-13 3.4943E-13 -3.1198E-13 -1.6545E-11 -7.6481E-13 2.0968E-12 3.3889E-14 -3.1198E-13 6.7650E-12 6.8887E-11 -2.2985E-11 1.0086E-10 3.7644E-12 -1.6545E-11 6.8887E-11 3.3337E-09 # lat0 lon0 xBary yBary zBary JD0 15.263052 157.619294 -0.435868 0.237214 -0.869516 2458932.822741 # Heliocentric elements and errors Epoch: 2458930.5000 = 2020/03/22 Mean Anomaly: 46.42100 +/- 0.329 Argument of Peri: 24.65632 +/- 0.071 Long of Asc Node: 35.96185 +/- 0.006 Inclination: 17.58476 +/- 0.001 Eccentricity: 0.43617323 +/- 0.0037 Semi-Major Axis: 66.90771756 +/- 0.2660 Time of Perihelion: 2433153.9519 +/- 99.0 Perihelion: 37.72436260 +/- 0.2908 Aphelion: 96.09107252 +/- 0.4561 Period (y) 547.2963 +/- 3.26 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -50.95951438 +/- 0.0073 Ecliptic Y 20.50637682 +/- 0.0030 Ecliptic Z 14.74460708 +/- 0.0021 Ecliptic XDOT -0.00181422 +/- 0.0000 Ecliptic YDOT -0.00163852 +/- 0.0000 Ecliptic ZDOT -0.00008267 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 56.87518821 +/- 0.0066 Geocenter to KBO 56.01014482 +/- 0.0082 # Hcoef: 7.87
The following table shows the complete astrometric record for 21FQ54. 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 (21FQ54) followed by the observatory code and reference code for the source of the astrometry.
2020 03 24.32194 11 01 36.890 +22 48 28.51 25.1r 21FQ54 568 C~6DKf 2020 03 24.49420 11 01 36.275 +22 48 30.47 25.0r 21FQ54 568 C~6DKf 2021 03 17.17184 11 05 04.373 +22 19 46.10 25.7r 21FQ54 304 C~6DKf 2021 03 17.21689 11 05 04.218 +22 19 46.67 25.7r 21FQ54 304 C~6DKf 2021 03 18.21584 11 05 00.589 +22 20 01.72 25.6r 21FQ54 304 C~6DKf 2022 03 07.24712 11 08 38.965 +21 49 53.83 25.4G 21FQ54 304 C~6DKf 2022 03 07.29461 11 08 38.785 +21 49 54.54 25.2G 21FQ54 304 C~6DKf 2022 04 08.11601 11 06 48.254 +21 56 53.87 25.2r 21FQ54 304 C~6DKg 2022 04 09.12445 11 06 45.194 +21 56 59.89 25.2r 21FQ54 304 C~6DKg
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 0.07
2 0.0005 -8.58 0.03 -1.60 0.01
3 0.9797 3324.00 -0.19 -423.01 -0.01
4 0.9799 3321.80 0.01 -423.36 -0.05
5 0.9826 3269.65 0.15 -429.95 -0.09
6 1.9519 6780.20 -0.01 -846.36 0.01
7 1.9520 6777.62 0.05 -846.74 -0.18
8 2.0391 5200.72 0.05 -1092.08 0.17
9 2.0419 5159.35 -0.08 -1103.90 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.
21FQ54 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 67.663 68.425 66.925 ecceobj 0.443 0.453 0.433 incobj 17.602 17.601 17.603 qmin 36.606 36.346 36.862 qmax 100.064 101.999 98.035 amean 67.529 68.309 66.636 amin 66.657 67.477 65.692 amax 68.690 69.521 67.853 emean 0.443 0.453 0.431 emin 0.429 0.438 0.416 emax 0.458 0.468 0.446 imean 16.791 16.746 16.791 imin 16.128 16.100 16.146 imax 17.514 17.556 17.511 excite_mean 0.529 0.537 0.519 fracstop 1.000 1.000 1.000 cjmean 3.017 3.012 3.021 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 155.7 154.8 155.4 kozaiamp 179.9 179.9 180.0