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: 21RJ237 # Created Mon Apr 28 01:11:27 2025 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.10y # First observation: 2019/08/30 # Last observation: 2021/10/06 Preliminary a, adot, b, bdot, g, gdot: 0.000006 0.022113 0.000000 0.000026 0.023354 0.000000 # Chi-squared of fit: 5.48 DOF: 10 RMS: 0.15 # Min/Max residuals: -0.34 0.34 # Exact a, adot, b, bdot, g, gdot: 1.528236E-05 2.211698E-02 4.784599E-07 2.624010E-05 2.331135E-02 6.529974E-04 # Covariance matrix: 7.2805E-13 -1.9214E-12 1.0367E-15 -2.1163E-15 -1.4904E-12 -3.5279E-11 -1.9214E-12 9.4343E-11 -8.7163E-14 1.2551E-13 1.0758E-10 2.0115E-09 1.0367E-15 -8.7163E-14 6.2454E-13 -3.3479E-13 -1.0149E-13 -1.8558E-12 -2.1163E-15 1.2551E-13 -3.3479E-13 2.5447E-13 1.4351E-13 2.6831E-12 -1.4904E-12 1.0758E-10 -1.0149E-13 1.4351E-13 1.2438E-10 2.2942E-09 -3.5279E-11 2.0115E-09 -1.8558E-12 2.6831E-12 2.2942E-09 4.3027E-08 # lat0 lon0 xBary yBary zBary JD0 -1.712391 -7.503463 0.274636 -0.028862 -0.965636 2458725.713221 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 82.72870 +/- 1.327 Argument of Peri: 186.17015 +/- 2.442 Long of Asc Node: 80.19798 +/- 0.046 Inclination: 1.67543 +/- 0.000 Eccentricity: 0.02641496 +/- 0.0093 Semi-Major Axis: 43.98418633 +/- 0.0198 Time of Perihelion: 2434235.6766 +/- 392.4 Perihelion: 42.82234581 +/- 0.4097 Aphelion: 45.14602686 +/- 0.4097 Period (y) 291.7112 +/- 0.20 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.43600509 +/- 0.0203 Ecliptic Y -6.00471388 +/- 0.0027 Ecliptic Z -1.28186281 +/- 0.0006 Ecliptic XDOT 0.00042376 +/- 0.0000 Ecliptic YDOT 0.00256589 +/- 0.0000 Ecliptic ZDOT 0.00000056 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.86782761 +/- 0.0201 Geocenter to KBO 42.89756041 +/- 0.0205 # Hcoef: 9.18
The following table shows the complete astrometric record for 21RJ237. 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 (21RJ237) followed by the observatory code and reference code for the source of the astrometry.
2019 08 30.212420 23 35 09.066 -04 33 01.76 25.4r 21RJ237 W84 C~7XPn 2019 08 30.387214 23 35 08.345 -04 33 06.23 25.4r 21RJ237 W84 C~7XPn 2020 10 18.012125 23 36 26.331 -04 24 16.79 25.4r 21RJ237 W84 C~7XPn 2020 10 18.176134 23 36 25.747 -04 24 20.54 25.4r 21RJ237 W84 C~7XPn 2021 09 09.073508 23 43 46.339 -03 37 08.33 25.6r 21RJ237 W84 C~7XPn 2021 09 09.192572 23 43 45.846 -03 37 11.58 25.6r 21RJ237 W84 C~7XPn 2021 10 06.002765 23 41 52.769 -03 49 14.98 25.6r 21RJ237 W84 C~7XPn 2021 10 06.167954 23 41 52.053 -03 49 19.53 25.6r 21RJ237 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 -0.06 0.00 -0.10
2 0.0005 -11.67 0.06 0.16 0.10
3 1.1357 1268.88 0.00 24.75 0.14
4 1.1361 1259.37 -0.00 24.76 -0.14
5 2.0284 8439.29 -0.12 6.30 -0.02
6 2.0287 8431.21 0.12 6.26 -0.08
7 2.1021 6588.09 0.34 15.94 0.11
8 2.1025 6576.44 -0.34 16.03 -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.
21RJ237 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.038 44.071 44.007 ecceobj 0.023 0.037 0.021 incobj 1.676 1.676 1.676 qmin 42.346 41.743 42.400 qmax 45.661 46.330 45.545 amean 43.918 43.954 43.888 amin 43.574 43.616 43.556 amax 44.270 44.307 44.229 emean 0.017 0.031 0.016 emin 0.000 0.014 0.000 emax 0.032 0.046 0.030 imean 0.656 0.658 0.660 imin 0.383 0.363 0.391 imax 0.864 0.887 0.865 excite_mean 0.021 0.033 0.020 fracstop 1.000 1.000 1.000 cjmean 3.100 3.100 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 187.8 187.7 186.8 kozaiamp 179.9 180.0 179.9