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: 21CG56 # Created Wed Jul 17 01:11:48 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 3.06y # First observation: 2021/02/15 # Last observation: 2024/03/08 Preliminary a, adot, b, bdot, g, gdot: 0.000012 0.011212 -0.000011 0.002559 0.016227 0.000000 # Chi-squared of fit: 2.07 DOF: 10 RMS: 0.09 # Min/Max residuals: -0.19 0.14 # Exact a, adot, b, bdot, g, gdot: 1.093891E-05 1.134858E-02 2.311129E-06 2.586193E-03 1.628934E-02 4.049622E-03 # Covariance matrix: 7.0556E-13 -6.5760E-13 1.5515E-14 -9.7075E-14 -1.9701E-13 -1.2209E-11 -6.5760E-13 2.3561E-11 -1.2368E-12 5.6467E-12 3.5880E-11 6.9966E-10 1.5515E-14 -1.2368E-12 6.9584E-13 -5.1920E-13 -1.9448E-12 -3.6991E-11 -9.7075E-14 5.6467E-12 -5.1920E-13 1.4705E-12 8.6962E-12 1.6857E-10 -1.9701E-13 3.5880E-11 -1.9448E-12 8.6962E-12 5.8185E-11 1.0763E-09 -1.2209E-11 6.9966E-10 -3.6991E-11 1.6857E-10 1.0763E-09 2.0884E-08 # lat0 lon0 xBary yBary zBary JD0 -3.597674 123.805255 -0.384947 -0.057788 -0.917627 2459260.842241 # Heliocentric elements and errors Epoch: 2459260.5000 = 2021/02/15 Mean Anomaly: 87.99823 +/- 1.524 Argument of Peri: 218.71873 +/- 0.856 Long of Asc Node: 139.23836 +/- 0.002 Inclination: 13.39344 +/- 0.002 Eccentricity: 0.35021211 +/- 0.0081 Semi-Major Axis: 56.46254699 +/- 0.3046 Time of Perihelion: 2421380.4471 +/- 579.8 Perihelion: 36.68867942 +/- 0.5004 Aphelion: 76.23641455 +/- 0.6168 Period (y) 424.2764 +/- 3.43 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -34.91330205 +/- 0.0160 Ecliptic Y 51.45408136 +/- 0.0238 Ecliptic Z -3.85209403 +/- 0.0018 Ecliptic XDOT -0.00197154 +/- 0.0000 Ecliptic YDOT -0.00046792 +/- 0.0000 Ecliptic ZDOT 0.00039090 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 62.30007847 +/- 0.0216 Geocenter to KBO 61.38985601 +/- 0.0287 # Hcoef: 7.20
The following table shows the complete astrometric record for 21CG56. 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 (21CG56) followed by the observatory code and reference code for the source of the astrometry.
2021 02 15.34144 08 20 58.943 +15 48 04.87 25.1r 21CG56 568 C~7xYc 2021 02 16.31223 08 20 55.866 +15 48 18.19 25.0r 21CG56 568 C~7xYc 2022 04 29.99685 08 21 59.554 +15 58 56.10 25.1r 21CG56 304 C~7xYc 2024 02 05.13346 08 29 46.850 +15 44 02.98 25.1r 21CG56 304 C~7xYc 2024 02 05.14167 08 29 46.841 +15 44 03.22 25.0r 21CG56 304 C~7xYc 2024 02 05.17666 08 29 46.723 +15 44 03.73 25.1r 21CG56 304 C~7xYc 2024 02 05.18506 08 29 46.690 +15 44 03.58 25.1r 21CG56 304 C~7xYc 2024 03 08.03608 08 28 11.197 +15 51 16.96 25.2r 21CG56 304 C~7xYc
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 0.04
2 0.0027 -46.28 -0.05 2.75 0.00
3 1.2010 700.69 0.05 835.32 -0.07
4 2.9700 7467.30 -0.19 1557.06 -0.07
5 2.9700 7467.12 0.06 1557.26 0.12
6 2.9701 7465.34 0.09 1557.34 0.14
7 2.9701 7464.92 0.10 1557.08 -0.14
8 3.0573 6021.37 -0.07 1648.00 -0.02
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.
21CG56 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 57.121 58.022 56.334 ecceobj 0.350 0.372 0.328 incobj 13.353 13.354 13.351 qmin 36.261 35.364 36.863 qmax 78.826 81.888 76.286 amean 56.931 57.855 56.078 amin 56.224 57.025 55.392 amax 57.836 58.985 56.968 emean 0.350 0.372 0.328 emin 0.337 0.354 0.314 emax 0.363 0.390 0.342 imean 11.961 12.140 11.980 imin 11.468 11.132 11.379 imax 12.465 13.152 12.525 excite_mean 0.407 0.427 0.388 fracstop 1.000 1.000 1.000 cjmean 3.049 3.036 3.059 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 189.1 183.1 180.3 kozaiamp 180.0 180.0 179.9