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: 21RU237 # 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: 0.000014 0.024822 0.000000 0.001066 0.024719 0.000000 # Chi-squared of fit: 1.42 DOF: 10 RMS: 0.07 # Min/Max residuals: -0.15 0.15 # Exact a, adot, b, bdot, g, gdot: 1.556236E-05 2.477538E-02 9.849955E-07 1.063822E-03 2.464722E-02 -3.769444E-04 # Covariance matrix: 7.4072E-13 1.6522E-12 -3.5917E-15 9.1037E-14 1.7211E-12 4.0608E-11 1.6522E-12 1.9572E-11 -3.9647E-14 9.8499E-13 1.0713E-11 4.3959E-10 -3.5917E-15 -3.9647E-14 3.8284E-13 -1.9114E-13 -2.1238E-14 -8.9979E-13 9.1037E-14 9.8499E-13 -1.9114E-13 2.2929E-13 5.3457E-13 2.2344E-11 1.7211E-12 1.0713E-11 -2.1238E-14 5.3457E-13 8.6240E-12 2.3849E-10 4.0608E-11 4.3959E-10 -8.9979E-13 2.2344E-11 2.3849E-10 9.9719E-09 # lat0 lon0 xBary yBary zBary JD0 -0.656128 -7.228740 0.311926 -0.010932 -0.954903 2458723.711696 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 344.53814 +/- 2.949 Argument of Peri: 3.09377 +/- 3.414 Long of Asc Node: 6.98207 +/- 0.005 Inclination: 2.53251 +/- 0.001 Eccentricity: 0.06928611 +/- 0.0012 Semi-Major Axis: 44.48639880 +/- 0.0144 Time of Perihelion: 2463375.2743 +/- 887.6 Perihelion: 41.40410937 +/- 0.0548 Aphelion: 47.56868823 +/- 0.0554 Period (y) 296.7215 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.15835333 +/- 0.0048 Ecliptic Y -5.54152868 +/- 0.0006 Ecliptic Z -0.46456772 +/- 0.0001 Ecliptic XDOT 0.00031456 +/- 0.0000 Ecliptic YDOT 0.00273587 +/- 0.0000 Ecliptic ZDOT 0.00011842 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.53232972 +/- 0.0048 Geocenter to KBO 40.57253340 +/- 0.0048 # Hcoef: 8.50
The following table shows the complete astrometric record for 21RU237. 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 (21RU237) followed by the observatory code and reference code for the source of the astrometry.
2019 08 28.210895 23 34 29.260 -03 28 18.17 24.7r 21RU237 W84 C~7XPo 2019 08 28.388381 23 34 28.488 -03 28 22.87 24.7r 21RU237 W84 C~7XPo 2019 09 29.013696 23 32 08.625 -03 43 03.74 24.6r 21RU237 W84 C~7XPo 2019 09 29.177510 23 32 07.899 -03 43 08.35 24.6r 21RU237 W84 C~7XPo 2021 09 06.108763 23 44 05.727 -02 18 07.54 24.4r 21RU237 W84 C~7XPo 2021 09 06.196686 23 44 05.322 -02 18 10.25 24.4r 21RU237 W84 C~7XPo 2021 10 04.002582 23 42 01.886 -02 31 09.97 24.6r 21RU237 W84 C~7XPo 2021 10 04.175328 23 42 01.128 -02 31 14.62 24.6r 21RU237 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 0.07 0.00 -0.06
2 0.0005 -12.48 -0.07 0.25 0.06
3 0.0871 -2284.06 0.03 18.19 0.08
4 0.0875 -2295.86 -0.03 18.24 -0.07
5 2.0257 9604.44 0.15 442.99 0.08
6 2.0260 9597.78 -0.15 442.92 -0.07
7 2.1021 7586.85 0.03 461.83 -0.01
8 2.1026 7574.57 -0.03 462.07 0.01
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.
21RU237 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.564 44.616 44.516 ecceobj 0.073 0.072 0.073 incobj 2.533 2.533 2.532 qmin 40.445 40.531 40.362 qmax 48.610 48.652 48.654 amean 44.425 44.478 44.377 amin 44.070 44.131 44.025 amax 44.792 44.846 44.757 emean 0.070 0.069 0.072 emin 0.055 0.054 0.056 emax 0.086 0.085 0.088 imean 2.836 2.848 2.824 imin 2.126 2.155 2.092 imax 3.447 3.440 3.449 excite_mean 0.086 0.086 0.087 fracstop 1.000 1.000 1.000 cjmean 3.097 3.098 3.097 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 182.2 183.2 181.1 kozaiamp 180.0 180.0 180.0