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: 21RL237 # Created Tue Apr 1 01:11:26 2025 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.03y # First observation: 2019/09/27 # Last observation: 2021/10/07 Preliminary a, adot, b, bdot, g, gdot: -0.000022 0.033874 -0.000024 0.008424 0.027971 0.000000 # Chi-squared of fit: 8.20 DOF: 10 RMS: 0.18 # Min/Max residuals: -0.34 0.28 # Exact a, adot, b, bdot, g, gdot: 1.876136E-05 3.364007E-02 3.671931E-06 8.357883E-03 2.736871E-02 -3.496862E-03 # Covariance matrix: 7.2271E-13 -1.0926E-12 3.1217E-14 -1.8641E-13 -4.6439E-13 -1.0715E-11 -1.0926E-12 7.9672E-12 -3.3462E-13 1.9732E-12 8.3217E-12 1.1339E-10 3.1217E-14 -3.3462E-13 6.2934E-13 -4.2897E-13 -3.7557E-13 -4.9436E-12 -1.8641E-13 1.9732E-12 -4.2897E-13 7.7879E-13 2.1915E-12 2.9129E-11 -4.6439E-13 8.3217E-12 -3.7557E-13 2.1915E-12 1.2433E-11 1.2591E-10 -1.0715E-11 1.1339E-10 -4.9436E-12 2.9129E-11 1.2591E-10 1.6738E-09 # lat0 lon0 xBary yBary zBary JD0 -2.048086 -10.665853 -0.249643 -0.034597 -0.967804 2458753.515384 # Heliocentric elements and errors Epoch: 2458750.5000 = 2019/09/24 Mean Anomaly: 356.31125 +/- 0.044 Argument of Peri: 6.66703 +/- 0.179 Long of Asc Node: 357.68104 +/- 0.000 Inclination: 14.09244 +/- 0.001 Eccentricity: 0.54651810 +/- 0.0008 Semi-Major Axis: 81.73675312 +/- 0.1327 Time of Perihelion: 2461516.1731 +/- 32.3 Perihelion: 37.06613838 +/- 0.0890 Aphelion: 126.40736785 +/- 0.2154 Period (y) 738.9827 +/- 1.80 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.88489190 +/- 0.0046 Ecliptic Y -6.69899568 +/- 0.0009 Ecliptic Z -1.30568586 +/- 0.0002 Ecliptic XDOT 0.00031714 +/- 0.0000 Ecliptic YDOT 0.00336714 +/- 0.0000 Ecliptic ZDOT 0.00084783 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.51101983 +/- 0.0045 Geocenter to KBO 36.53807218 +/- 0.0047 # Hcoef: 10.29
The following table shows the complete astrometric record for 21RL237. 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 (21RL237) followed by the observatory code and reference code for the source of the astrometry.
2019 09 27.014583 23 24 00.881 -06 06 20.55 26.0r 21RL237 W84 C~7XPn 2019 09 27.176040 23 24 00.094 -06 06 24.94 26.0r 21RL237 W84 C~7XPn 2020 10 16.001792 23 28 56.155 -05 01 23.05 26.0r 21RL237 W84 C~7XPn 2020 10 16.175804 23 28 55.459 -05 01 25.70 26.0r 21RL237 W84 C~7XPn 2021 09 05.096099 23 38 33.162 -03 31 40.56 25.8r 21RL237 W84 C~7XPn 2021 09 05.195929 23 38 32.678 -03 31 42.98 25.8r 21RL237 W84 C~7XPn 2021 10 07.004805 23 35 59.565 -03 45 18.53 25.9r 21RL237 W84 C~7XPn 2021 10 07.169933 23 35 58.781 -03 45 22.12 25.9r 21RL237 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 0.14 0.00 0.24
2 0.0004 -12.52 -0.16 0.58 -0.16
3 1.0540 5588.98 -0.23 1845.16 -0.34
4 1.0545 5578.37 0.28 1846.84 0.17
5 1.9414 15676.73 -0.03 3368.86 -0.04
6 1.9416 15669.08 0.06 3369.52 0.12
7 2.0287 13229.54 0.08 3531.68 -0.18
8 2.0292 13217.30 -0.13 3533.04 0.19
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.
21RL237 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 81.987 82.215 81.764 ecceobj 0.549 0.550 0.548 incobj 14.074 14.074 14.075 qmin 35.617 35.630 35.317 qmax 128.896 130.304 129.418 amean 80.840 81.341 80.926 amin 79.425 79.875 79.502 amax 82.693 83.372 82.987 emean 0.547 0.549 0.549 emin 0.533 0.535 0.535 emax 0.560 0.563 0.564 imean 13.666 13.811 13.383 imin 12.905 12.996 12.241 imax 14.798 14.802 14.798 excite_mean 0.596 0.598 0.596 fracstop 1.000 1.000 1.000 cjmean 3.039 3.039 3.038 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 171.9 148.7 158.7 kozaiamp 179.9 180.0 180.0