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: 21RZ236 # Created Sun Dec 22 02:11:18 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.10y # First observation: 2019/08/29 # Last observation: 2021/10/03 Preliminary a, adot, b, bdot, g, gdot: 0.000003 0.018667 -0.000007 0.004804 0.021875 0.000000 # Chi-squared of fit: 3.34 DOF: 10 RMS: 0.11 # Min/Max residuals: -0.17 0.25 # Exact a, adot, b, bdot, g, gdot: 1.340010E-05 1.862720E-02 3.921780E-06 4.794604E-03 2.179699E-02 -5.812038E-04 # Covariance matrix: 7.0834E-13 -8.0378E-13 2.2653E-14 -1.3818E-13 -2.4835E-13 -1.3516E-11 -8.0378E-13 4.2452E-11 -1.8269E-12 1.1066E-11 5.1789E-11 1.0820E-09 2.2653E-14 -1.8269E-12 7.0385E-13 -8.1491E-13 -2.2323E-12 -4.6887E-11 -1.3818E-13 1.1066E-11 -8.1491E-13 3.1597E-12 1.3517E-11 2.8402E-10 -2.4835E-13 5.1789E-11 -2.2323E-12 1.3517E-11 6.4921E-11 1.3216E-09 -1.3516E-11 1.0820E-09 -4.6887E-11 2.8402E-10 1.3216E-09 2.7771E-08 # lat0 lon0 xBary yBary zBary JD0 -0.824969 -9.258856 0.261442 -0.013959 -0.969763 2458724.712719 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 205.37114 +/- 5.407 Argument of Peri: 154.99452 +/- 5.382 Long of Asc Node: 353.55132 +/- 0.000 Inclination: 14.44101 +/- 0.002 Eccentricity: 0.08045809 +/- 0.0027 Semi-Major Axis: 43.63390839 +/- 0.0485 Time of Perihelion: 2503939.6758 +/- 1579.5 Perihelion: 40.12320742 +/- 0.1272 Aphelion: 47.14460937 +/- 0.1302 Period (y) 288.2334 +/- 0.48 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.19348707 +/- 0.0167 Ecliptic Y -7.80184044 +/- 0.0027 Ecliptic Z -0.66036628 +/- 0.0002 Ecliptic XDOT 0.00032142 +/- 0.0000 Ecliptic YDOT 0.00232014 +/- 0.0000 Ecliptic ZDOT 0.00060300 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.85235368 +/- 0.0165 Geocenter to KBO 45.87789123 +/- 0.0170 # Hcoef: 9.12
The following table shows the complete astrometric record for 21RZ236. 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 (21RZ236) followed by the observatory code and reference code for the source of the astrometry.
2019 08 29.211918 23 27 16.561 -04 25 40.25 25.8r 21RZ236 W84 C~7XPn 2019 08 29.387113 23 27 15.845 -04 25 44.08 25.8r 21RZ236 W84 C~7XPn 2020 10 17.010669 23 27 30.918 -04 03 39.40 25.8r 21RZ236 W84 C~7XPn 2020 10 17.174574 23 27 30.353 -04 03 42.49 25.8r 21RZ236 W84 C~7XPn 2021 09 07.105479 23 33 40.026 -03 08 12.86 25.4r 21RZ236 W84 C~7XPn 2021 09 07.194942 23 33 39.688 -03 08 15.19 25.4r 21RZ236 W84 C~7XPn 2021 10 03.011907 23 31 53.986 -03 18 18.19 25.9r 21RZ236 W84 C~7XPn 2021 10 03.165173 23 31 53.383 -03 18 21.72 25.9r 21RZ236 W84 C~7XPn
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 -0.09
2 0.0005 -11.35 -0.04 0.70 0.11
3 1.1357 717.58 0.03 1129.56 0.02
4 1.1361 708.59 0.00 1130.05 -0.06
5 2.0257 7110.63 -0.17 2005.90 0.25
6 2.0260 7105.05 0.21 2005.76 -0.16
7 2.0966 5410.95 -0.06 2077.32 0.05
8 2.0971 5401.26 0.01 2077.64 -0.11
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.
21RZ236 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.696 43.824 43.601 ecceobj 0.080 0.092 0.073 incobj 14.420 14.422 14.418 qmin 38.975 38.318 39.256 qmax 48.450 49.497 48.007 amean 43.595 43.729 43.506 amin 43.243 43.326 43.163 amax 43.962 44.191 43.866 emean 0.088 0.105 0.081 emin 0.074 0.085 0.069 emax 0.102 0.122 0.095 imean 14.784 14.655 14.786 imin 14.233 14.018 14.249 imax 15.286 15.291 15.278 excite_mean 0.270 0.274 0.268 fracstop 1.000 1.000 1.000 cjmean 3.008 3.007 3.008 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 180.2 179.8 181.6 kozaiamp 179.9 179.9 180.0