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: 21RU236 # Created Tue Apr 1 01:11:26 2025 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.10y # First observation: 2019/08/28 # Last observation: 2021/10/04 Preliminary a, adot, b, bdot, g, gdot: 0.000002 0.019419 0.000000 -0.000185 0.021825 0.000000 # Chi-squared of fit: 1.74 DOF: 10 RMS: 0.08 # Min/Max residuals: -0.14 0.17 # Exact a, adot, b, bdot, g, gdot: 1.357628E-05 1.939816E-02 -3.682812E-07 -1.850266E-04 2.177826E-02 4.694871E-05 # Covariance matrix: 7.2562E-13 -2.2815E-12 -3.0920E-15 1.9532E-14 -1.9536E-12 -4.9530E-11 -2.2815E-12 1.7921E-10 2.7237E-13 -1.7440E-12 2.0682E-10 4.4313E-09 -3.0920E-15 2.7237E-13 6.2787E-13 -3.3889E-13 3.1427E-13 6.7466E-12 1.9532E-14 -1.7440E-12 -3.3889E-13 2.7178E-13 -2.0133E-12 -4.3194E-11 -1.9536E-12 2.0682E-10 3.1427E-13 -2.0133E-12 2.4013E-10 5.1158E-09 -4.9530E-11 4.4313E-09 6.7466E-12 -4.3194E-11 5.1158E-09 1.0975E-07 # lat0 lon0 xBary yBary zBary JD0 -0.127494 -7.137382 0.313448 -0.002120 -0.954465 2458723.711696 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 181.05492 +/- 16.287 Argument of Peri: 11.80048 +/- 16.308 Long of Asc Node: 159.71851 +/- 0.037 Inclination: 0.56580 +/- 0.001 Eccentricity: 0.05656589 +/- 0.0003 Semi-Major Axis: 44.36728511 +/- 0.0528 Time of Perihelion: 2512375.4714 +/- 4882.4 Perihelion: 41.85761012 +/- 0.0511 Aphelion: 46.87696009 +/- 0.0569 Period (y) 295.5306 +/- 0.53 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.47237117 +/- 0.0324 Ecliptic Y -6.14175936 +/- 0.0041 Ecliptic Z -0.10218909 +/- 0.0001 Ecliptic XDOT 0.00031726 +/- 0.0000 Ecliptic YDOT 0.00241958 +/- 0.0000 Ecliptic ZDOT -0.00002350 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.87657126 +/- 0.0321 Geocenter to KBO 45.91735468 +/- 0.0327 # Hcoef: 7.94
The following table shows the complete astrometric record for 21RU236. 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 (21RU236) followed by the observatory code and reference code for the source of the astrometry.
2019 08 28.210895 23 33 59.203 -02 57 00.07 24.7r 21RU236 W84 C~7XPn 2019 08 28.388381 23 33 58.507 -02 57 04.56 24.7r 21RU236 W84 C~7XPn 2020 10 21.004397 23 34 37.386 -02 53 40.41 24.5r 21RU236 W84 C~7XPn 2020 10 21.174149 23 34 36.830 -02 53 43.84 24.5r 21RU236 W84 C~7XPn 2021 09 06.108763 23 41 36.586 -02 09 10.33 24.6r 21RU236 W84 C~7XPn 2021 09 06.196686 23 41 36.212 -02 09 12.52 24.6r 21RU236 W84 C~7XPn 2021 10 04.002582 23 39 45.378 -02 21 12.66 24.4r 21RU236 W84 C~7XPn 2021 10 04.175328 23 39 44.699 -02 21 17.03 24.4r 21RU236 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 0.10 0.00 0.05
2 0.0005 -11.35 -0.10 -0.00 0.00
3 1.1493 604.34 0.02 -42.70 -0.10
4 1.1498 595.33 -0.03 -42.56 -0.02
5 2.0257 7433.22 0.13 -78.50 -0.03
6 2.0260 7427.20 -0.14 -78.29 0.17
7 2.1021 5614.78 0.05 -80.84 -0.02
8 2.1026 5603.70 -0.03 -80.82 -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.
21RU236 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.442 44.615 44.388 ecceobj 0.054 0.072 0.055 incobj 0.558 0.558 0.557 qmin 40.844 40.062 40.842 qmax 48.028 49.132 47.866 amean 44.318 44.487 44.268 amin 43.966 44.126 43.923 amax 44.689 44.867 44.628 emean 0.059 0.080 0.058 emin 0.044 0.064 0.043 emax 0.075 0.095 0.073 imean 1.675 1.620 1.708 imin 1.006 0.904 1.042 imax 2.224 2.222 2.247 excite_mean 0.066 0.085 0.066 fracstop 1.000 1.000 1.000 cjmean 3.100 3.099 3.100 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 172.5 182.4 170.0 kozaiamp 180.0 180.0 180.0