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: 20FQ40 # Created Sat May 4 01:18:33 2024 # Orbit generated from Bernstein formalism # Fitting 9 observations of 11 # Arc: 2.04y # First observation: 2020/03/24 # Last observation: 2022/04/08 Preliminary a, adot, b, bdot, g, gdot: -0.000002 0.004155 -0.000002 0.003582 0.010944 0.000000 # Chi-squared of fit: 3.77 DOF: 12 RMS: 0.11 # Min/Max residuals: -0.23 0.29 # Exact a, adot, b, bdot, g, gdot: 5.742955E-06 4.150069E-03 5.146788E-06 3.577748E-03 1.091716E-02 -5.652016E-04 # Covariance matrix: 6.4572E-13 -6.7137E-13 6.4118E-14 -2.9397E-13 -5.8990E-13 -3.8985E-11 -6.7137E-13 1.6657E-12 -2.6045E-13 1.1817E-12 2.0883E-12 1.5678E-10 6.4118E-14 -2.6045E-13 6.0434E-13 -5.4185E-13 -3.6946E-13 -2.9161E-11 -2.9397E-13 1.1817E-12 -5.4185E-13 1.2607E-12 1.7483E-12 1.3221E-10 -5.8990E-13 2.0883E-12 -3.6946E-13 1.7483E-12 4.7460E-12 2.3152E-10 -3.8985E-11 1.5678E-10 -2.9161E-11 1.3221E-10 2.3152E-10 1.7542E-08 # lat0 lon0 xBary yBary zBary JD0 15.232257 158.328264 -0.424682 0.238145 -0.874780 2458932.822741 # Heliocentric elements and errors Epoch: 2458930.5000 = 2020/03/22 Mean Anomaly: 198.90583 +/- 1.883 Argument of Peri: 193.78958 +/- 1.932 Long of Asc Node: 141.86021 +/- 0.005 Inclination: 43.09560 +/- 0.008 Eccentricity: 0.41720508 +/- 0.0021 Semi-Major Axis: 65.77246026 +/- 0.1532 Time of Perihelion: 2546115.5215 +/- 972.7 Perihelion: 38.33185583 +/- 0.1668 Aphelion: 93.21306469 +/- 0.2588 Period (y) 533.4262 +/- 1.86 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -83.12863813 +/- 0.0164 Ecliptic Y 32.57040342 +/- 0.0065 Ecliptic Z 24.06646485 +/- 0.0048 Ecliptic XDOT -0.00002997 +/- 0.0000 Ecliptic YDOT -0.00110198 +/- 0.0000 Ecliptic ZDOT 0.00082825 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 92.46835343 +/- 0.0150 Geocenter to KBO 91.59888641 +/- 0.0183 # Hcoef: 6.04
The following table shows the complete astrometric record for 20FQ40. 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 (20FQ40) followed by the observatory code and reference code for the source of the astrometry.
2020 03 24.32194 11 04 16.763 +22 30 22.94 25.5r 20FQ40 568 C~5fv2 2020 03 24.49420 11 04 16.363 +22 30 24.64 25.4r 20FQ40 568 C~5fv2 2021 02 12.31471 11 07 08.370 +22 25 32.34 25.7r 20FQ40 304 C~5fv2 2021 02 17.30638 11 06 57.208 +22 27 04.76 25.6r 20FQ40 304 C~5fv2 2021 02 18.19270 11 06 55.181 +22 27 20.99 25.6r 20FQ40 304 C~5fv2 2021 04 12.10703 11 04 55.902 +22 38 38.60 25.7r 20FQ40 304 C~5fv2 2021 04 13.11327 11 04 54.034 +22 38 44.50 25.8r 20FQ40 304 C~5fv2 2022 03 07.22579 11 07 33.478 +22 37 36.21 25.8G 20FQ40 304 C~5fv2 2022 03 07.27168 11 07 33.370 +22 37 36.77 20FQ40 304 C~5fv2 2022 04 08.10817 11 06 21.683 +22 43 45.17 25.5r 20FQ40 304 C~5fv2 2022 04 08.17162 11 06 21.557 +22 43 45.61 25.4r 20FQ40 304 C~5fv2
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 0.06 0.00 0.01
2 0.0005 -5.76 0.06 -0.66 -0.23
3 0.8898 2294.75 -0.12 691.01 0.29
4 0.9034 2115.82 ( -0.10) 712.96 ( 0.47)
5 0.9059 2083.56 ( -0.28) 716.44 ( 0.54)
6 1.0507 298.11 -0.01 671.33 0.01
7 1.0535 272.06 -0.11 666.36 0.10
8 1.9518 2319.84 0.01 1493.82 0.10
9 1.9520 2318.25 0.11 1493.72 -0.01
10 2.0391 1261.72 -0.02 1429.56 -0.13
11 2.0393 1259.95 0.01 1429.26 -0.13
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.
20FQ40 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 65.703 66.255 65.428 ecceobj 0.418 0.425 0.414 incobj 42.984 42.967 43.001 qmin 36.295 36.024 36.644 qmax 96.902 98.500 96.018 amean 65.894 66.525 65.640 amin 65.097 65.712 64.876 amax 66.919 67.576 66.676 emean 0.427 0.439 0.422 emin 0.407 0.416 0.403 emax 0.448 0.458 0.440 imean 41.186 41.026 41.277 imin 40.595 40.517 40.771 imax 41.871 41.805 41.938 excite_mean 0.785 0.790 0.783 fracstop 1.000 1.000 1.000 cjmean 2.470 2.467 2.470 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 270.9 269.7 277.8 kozaiamp 180.0 78.3 80.5