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: 21RB237 # Created Tue Apr 1 01:11:26 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: 0.000006 0.022878 0.000000 -0.000657 0.023948 0.000000 # Chi-squared of fit: 7.65 DOF: 10 RMS: 0.17 # Min/Max residuals: -0.35 0.25 # Exact a, adot, b, bdot, g, gdot: 1.476571E-05 2.282490E-02 -1.023143E-06 -6.557879E-04 2.382993E-02 -6.275970E-04 # Covariance matrix: 7.2772E-13 -1.9073E-12 -7.2707E-15 4.7236E-14 -1.4680E-12 -3.3775E-11 -1.9073E-12 7.0075E-11 2.9842E-13 -2.0254E-12 7.8081E-11 1.4483E-09 -7.2707E-15 2.9842E-13 6.2550E-13 -3.4332E-13 3.3139E-13 6.1997E-12 4.7236E-14 -2.0254E-12 -3.4332E-13 3.1289E-13 -2.2581E-12 -4.2041E-11 -1.4680E-12 7.8081E-11 3.3139E-13 -2.2581E-12 8.8561E-11 1.6148E-09 -3.3775E-11 1.4483E-09 6.1997E-12 -4.2041E-11 1.6148E-09 3.0064E-08 # lat0 lon0 xBary yBary zBary JD0 -1.155637 -9.274664 0.261175 -0.019557 -0.969739 2458724.712719 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 273.16257 +/- 1.462 Argument of Peri: 304.68405 +/- 0.768 Long of Asc Node: 136.02497 +/- 0.021 Inclination: 2.00151 +/- 0.001 Eccentricity: 0.03056091 +/- 0.0076 Semi-Major Axis: 42.97125074 +/- 0.0517 Time of Perihelion: 2483538.6764 +/- 415.3 Perihelion: 41.65801001 +/- 0.3306 Aphelion: 44.28449147 +/- 0.3311 Period (y) 281.6924 +/- 0.51 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.32503069 +/- 0.0164 Ecliptic Y -7.18293199 +/- 0.0027 Ecliptic Z -0.84638554 +/- 0.0003 Ecliptic XDOT 0.00035846 +/- 0.0000 Ecliptic YDOT 0.00260054 +/- 0.0000 Ecliptic ZDOT -0.00007410 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.93855032 +/- 0.0161 Geocenter to KBO 41.96404055 +/- 0.0166 # Hcoef: 9.22
The following table shows the complete astrometric record for 21RB237. 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 (21RB237) followed by the observatory code and reference code for the source of the astrometry.
2019 08 29.211918 23 27 44.419 -04 44 16.85 25.3r 21RB237 W84 C~7XPn 2019 08 29.387113 23 27 43.673 -04 44 21.94 25.3r 21RB237 W84 C~7XPn 2020 10 17.010669 23 29 11.670 -04 37 29.37 25.4r 21RB237 W84 C~7XPn 2020 10 17.174574 23 29 11.072 -04 37 33.06 25.4r 21RB237 W84 C~7XPn 2021 09 05.096099 23 37 00.883 -03 49 35.08 25.5r 21RB237 W84 C~7XPn 2021 09 05.195929 23 37 00.436 -03 49 38.65 25.5r 21RB237 W84 C~7XPn 2021 10 07.004805 23 34 44.218 -04 04 22.08 25.6r 21RB237 W84 C~7XPn 2021 10 07.169933 23 34 43.573 -04 04 26.45 25.6r 21RB237 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 0.08 0.00 0.12 2 0.0005 -12.26 -0.08 -0.29 -0.10 3 1.1357 1359.43 0.04 -139.66 -0.00 4 1.1361 1349.76 -0.04 -139.52 -0.04 5 2.0202 8948.51 0.25 -276.60 0.25 6 2.0205 8940.94 -0.25 -277.22 -0.35 7 2.1076 6716.10 -0.19 -280.22 0.21 8 2.1080 6705.49 0.20 -280.41 -0.10
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.
21RB237 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.028 43.133 42.949 ecceobj 0.035 0.053 0.018 incobj 1.998 1.998 1.998 qmin 39.936 39.219 40.651 qmax 46.090 47.044 45.186 amean 42.916 43.017 42.841 amin 42.585 42.679 42.515 amax 43.259 43.382 43.170 emean 0.046 0.064 0.030 emin 0.026 0.044 0.009 emax 0.066 0.085 0.047 imean 2.091 2.087 2.103 imin 0.939 0.904 0.943 imax 2.949 3.000 2.928 excite_mean 0.059 0.074 0.047 fracstop 1.000 1.000 1.000 cjmean 3.084 3.083 3.085 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 183.3 183.6 182.5 kozaiamp 180.0 180.0 179.9