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: 21RE237 # Created Sun Apr 27 01:11:27 2025 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.11y # First observation: 2019/08/29 # Last observation: 2021/10/07 Preliminary a, adot, b, bdot, g, gdot: 0.000008 0.026903 0.000001 -0.000832 0.025705 0.000000 # Chi-squared of fit: 1.91 DOF: 10 RMS: 0.09 # Min/Max residuals: -0.20 0.19 # Exact a, adot, b, bdot, g, gdot: 1.644738E-05 2.686216E-02 -7.074641E-07 -8.309840E-04 2.557820E-02 -1.287129E-04 # Covariance matrix: 7.2913E-13 -1.7097E-12 -6.8136E-15 4.4304E-14 -1.1578E-12 -2.5033E-11 -1.7097E-12 5.2282E-11 2.3429E-13 -1.6113E-12 5.4974E-11 9.1035E-10 -6.8136E-15 2.3429E-13 6.2547E-13 -3.4201E-13 2.4487E-13 4.1083E-12 4.4304E-14 -1.6113E-12 -3.4201E-13 3.0421E-13 -1.6951E-12 -2.8218E-11 -1.1578E-12 5.4974E-11 2.4487E-13 -1.6951E-12 5.9360E-11 9.5770E-10 -2.5033E-11 9.1035E-10 4.1083E-12 -2.8218E-11 9.5770E-10 1.5943E-08 # lat0 lon0 xBary yBary zBary JD0 -1.356398 -9.448968 0.258223 -0.022973 -0.970454 2458724.712719 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 356.50291 +/- 1.899 Argument of Peri: 221.12773 +/- 2.450 Long of Asc Node: 133.55357 +/- 0.017 Inclination: 2.21796 +/- 0.001 Eccentricity: 0.12240698 +/- 0.0007 Semi-Major Axis: 45.64494401 +/- 0.0361 Time of Perihelion: 2459814.6890 +/- 594.2 Perihelion: 40.05768414 +/- 0.0466 Aphelion: 51.23220388 +/- 0.0530 Period (y) 308.3878 +/- 0.37 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.47255952 +/- 0.0116 Ecliptic Y -6.83757131 +/- 0.0019 Ecliptic Z -0.92547931 +/- 0.0003 Ecliptic XDOT 0.00046483 +/- 0.0000 Ecliptic YDOT 0.00283945 +/- 0.0000 Ecliptic ZDOT -0.00008882 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.07108494 +/- 0.0114 Geocenter to KBO 39.09579670 +/- 0.0118 # Hcoef: 8.82
The following table shows the complete astrometric record for 21RE237. 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 (21RE237) followed by the observatory code and reference code for the source of the astrometry.
2019 08 29.211918 23 27 24.886 -04 59 28.27 24.6r 21RE237 W84 C~7XPn 2019 08 29.387113 23 27 24.100 -04 59 33.43 24.6r 21RE237 W84 C~7XPn 2020 10 17.010669 23 29 33.254 -04 48 57.34 24.6r 21RE237 W84 C~7XPn 2020 10 17.174574 23 29 32.630 -04 49 01.12 24.6r 21RE237 W84 C~7XPn 2021 09 05.096099 23 38 23.517 -03 55 05.95 24.9r 21RE237 W84 C~7XPn 2021 09 05.195929 23 38 23.041 -03 55 09.19 24.9r 21RE237 W84 C~7XPn 2021 10 07.004805 23 35 59.556 -04 10 42.42 24.9r 21RE237 W84 C~7XPn 2021 10 07.169933 23 35 58.843 -04 10 47.06 24.9r 21RE237 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 0.03 0.00 0.04
2 0.0005 -12.83 -0.03 -0.12 0.02
3 1.1357 2011.89 -0.01 -176.52 -0.07
4 1.1361 2001.83 0.00 -176.31 -0.06
5 2.0202 10583.17 0.19 -350.11 0.11
6 2.0205 10575.33 -0.20 -350.26 0.00
7 2.1076 8229.48 0.04 -354.49 0.07
8 2.1080 8217.83 -0.03 -354.52 -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.
21RE237 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.692 45.731 45.657 ecceobj 0.124 0.125 0.124 incobj 2.215 2.215 2.216 qmin 39.209 39.210 39.180 qmax 52.188 52.275 52.190 amean 45.554 45.590 45.522 amin 45.173 45.214 45.136 amax 45.979 46.019 45.942 emean 0.122 0.123 0.122 emin 0.108 0.109 0.107 emax 0.136 0.137 0.136 imean 1.676 1.670 1.686 imin 1.002 1.001 1.002 imax 2.220 2.212 2.258 excite_mean 0.126 0.126 0.126 fracstop 1.000 1.000 1.000 cjmean 3.101 3.101 3.101 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 175.5 176.2 175.8 kozaiamp 179.9 180.0 180.0