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: 21RR237 # Created Sun Dec 22 02:11:19 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.11y # First observation: 2019/08/30 # Last observation: 2021/10/07 Preliminary a, adot, b, bdot, g, gdot: 0.000006 0.023589 -0.000016 0.009040 0.025200 0.000000 # Chi-squared of fit: 7.41 DOF: 10 RMS: 0.17 # Min/Max residuals: -0.29 0.46 # Exact a, adot, b, bdot, g, gdot: 1.477645E-05 2.348285E-02 5.348672E-06 9.005382E-03 2.501273E-02 -1.526550E-03 # Covariance matrix: 7.0260E-13 -6.8339E-13 2.6522E-14 -1.6035E-13 -8.5553E-14 -8.2942E-12 -6.8339E-13 1.9759E-11 -1.2736E-12 7.5196E-12 2.2800E-11 3.8885E-10 2.6522E-14 -1.2736E-12 7.0591E-13 -8.2563E-13 -1.4726E-12 -2.5455E-11 -1.6035E-13 7.5196E-12 -8.2563E-13 3.1604E-12 8.6777E-12 1.5035E-10 -8.5553E-14 2.2800E-11 -1.4726E-12 8.6777E-12 2.8069E-11 4.4873E-10 -8.2942E-12 3.8885E-10 -2.5455E-11 1.5035E-10 4.4873E-10 7.7750E-09 # lat0 lon0 xBary yBary zBary JD0 -2.940651 -8.539771 0.257119 -0.049801 -0.969599 2458725.713221 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 314.03277 +/- 1.081 Argument of Peri: 45.29919 +/- 1.424 Long of Asc Node: 358.53688 +/- 0.000 Inclination: 21.15145 +/- 0.001 Eccentricity: 0.08280992 +/- 0.0031 Semi-Major Axis: 43.27865540 +/- 0.0404 Time of Perihelion: 2471999.1805 +/- 311.6 Perihelion: 39.69475326 +/- 0.1388 Aphelion: 46.86255754 +/- 0.1407 Period (y) 284.7206 +/- 0.40 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.40911126 +/- 0.0084 Ecliptic Y -6.33445191 +/- 0.0013 Ecliptic Z -2.05080367 +/- 0.0004 Ecliptic XDOT 0.00027514 +/- 0.0000 Ecliptic YDOT 0.00255975 +/- 0.0000 Ecliptic ZDOT 0.00099276 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.95396623 +/- 0.0083 Geocenter to KBO 39.97964243 +/- 0.0085 # Hcoef: 9.26
The following table shows the complete astrometric record for 21RR237. 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 (21RR237) followed by the observatory code and reference code for the source of the astrometry.
2019 08 30.212420 23 33 16.962 -06 05 17.40 25.3r 21RR237 W84 C~7XPo 2019 08 30.387214 23 33 16.160 -06 05 21.87 25.3r 21RR237 W84 C~7XPo 2020 10 16.001792 23 33 49.248 -05 23 10.97 25.4r 21RR237 W84 C~7XPo 2020 10 16.175804 23 33 48.528 -05 23 14.02 25.4r 21RR237 W84 C~7XPo 2021 09 09.073508 23 40 48.544 -04 08 06.05 25.1r 21RR237 W84 C~7XPo 2021 09 09.192572 23 40 47.965 -04 08 09.93 25.1r 21RR237 W84 C~7XPo 2021 10 07.004805 23 38 37.959 -04 19 22.69 25.3r 21RR237 W84 C~7XPo 2021 10 07.169933 23 38 37.214 -04 19 26.36 25.3r 21RR237 W84 C~7XPo
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 0.01 0.00 0.07
2 0.0005 -12.75 -0.00 0.63 -0.08
3 1.1302 1442.33 0.03 2129.65 -0.08
4 1.1306 1431.25 -0.05 2131.10 0.08
5 2.0284 8990.27 0.24 3777.70 0.46
6 2.0287 8980.76 -0.27 3777.58 -0.29
7 2.1048 6925.51 0.03 3933.67 -0.06
8 2.1053 6913.81 0.01 3934.73 -0.10
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.
21RR237 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.340 43.415 43.271 ecceobj 0.087 0.093 0.081 incobj 21.114 21.116 21.112 qmin 38.889 38.683 39.045 qmax 47.801 48.125 47.450 amean 43.230 43.301 43.164 amin 42.900 42.964 42.827 amax 43.590 43.661 43.525 emean 0.084 0.090 0.079 emin 0.072 0.078 0.066 emax 0.097 0.103 0.091 imean 21.482 21.491 21.475 imin 21.077 21.089 21.074 imax 21.874 21.876 21.869 excite_mean 0.376 0.377 0.375 fracstop 1.000 1.000 1.000 cjmean 2.918 2.918 2.919 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 177.2 177.6 178.7 kozaiamp 180.0 179.9 180.0