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: 21RT237 # Created Fri Nov 22 02:11:11 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.02y # First observation: 2019/09/29 # Last observation: 2021/10/04 Preliminary a, adot, b, bdot, g, gdot: -0.000002 0.020321 0.000001 -0.000966 0.023164 0.000000 # Chi-squared of fit: 1.06 DOF: 10 RMS: 0.06 # Min/Max residuals: -0.11 0.17 # Exact a, adot, b, bdot, g, gdot: 1.379137E-05 2.032174E-02 -5.204959E-07 -9.653566E-04 2.304074E-02 1.221575E-05 # Covariance matrix: 7.3035E-13 -1.2702E-12 -6.9807E-15 4.3997E-14 -8.9402E-13 -2.2224E-11 -1.2702E-12 1.2831E-11 9.5829E-14 -6.2201E-13 1.8100E-11 3.1456E-10 -6.9807E-15 9.5829E-14 6.1728E-13 -3.5036E-13 1.3889E-13 2.4026E-12 4.3997E-14 -6.2201E-13 -3.5036E-13 3.0688E-13 -9.1412E-13 -1.5622E-11 -8.9402E-13 1.8100E-11 1.3889E-13 -9.1412E-13 3.0310E-11 4.6255E-10 -2.2224E-11 3.1456E-10 2.4026E-12 -1.5622E-11 4.6255E-10 7.9009E-09 # lat0 lon0 xBary yBary zBary JD0 -0.624295 -7.561975 -0.230303 -0.010585 -0.972820 2458755.514497 # Heliocentric elements and errors Epoch: 2458750.5000 = 2019/09/24 Mean Anomaly: 175.25301 +/- 1.769 Argument of Peri: 16.39232 +/- 1.779 Long of Asc Node: 160.07423 +/- 0.007 Inclination: 2.78549 +/- 0.001 Eccentricity: 0.12236300 +/- 0.0006 Semi-Major Axis: 39.55210529 +/- 0.0207 Time of Perihelion: 2505376.4504 +/- 445.2 Perihelion: 34.71239112 +/- 0.0303 Aphelion: 44.39181946 +/- 0.0336 Period (y) 248.7497 +/- 0.20 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.01918147 +/- 0.0103 Ecliptic Y -5.61793350 +/- 0.0014 Ecliptic Z -0.47293129 +/- 0.0001 Ecliptic XDOT 0.00032647 +/- 0.0000 Ecliptic YDOT 0.00239466 +/- 0.0000 Ecliptic ZDOT -0.00011495 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.37874692 +/- 0.0102 Geocenter to KBO 43.40138493 +/- 0.0104 # Hcoef: 8.20
The following table shows the complete astrometric record for 21RT237. 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 (21RT237) followed by the observatory code and reference code for the source of the astrometry.
2019 09 29.013696 23 33 12.635 -03 34 26.99 24.6r 21RT237 W84 C~7XPo 2019 09 29.177510 23 33 11.939 -03 34 31.39 24.6r 21RT237 W84 C~7XPo 2020 10 18.012125 23 36 18.469 -03 18 09.36 24.6r 21RT237 W84 C~7XPo 2020 10 18.176134 23 36 17.885 -03 18 13.05 24.6r 21RT237 W84 C~7XPo 2021 09 06.108763 23 43 33.146 -02 34 38.04 24.5r 21RT237 W84 C~7XPo 2021 09 06.196686 23 43 32.757 -02 34 40.29 24.5r 21RT237 W84 C~7XPo 2021 10 04.002582 23 41 35.605 -02 47 33.59 24.6r 21RT237 W84 C~7XPo 2021 10 04.175328 23 41 34.890 -02 47 38.20 24.6r 21RT237 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 0.03 0.00 -0.03 2 0.0004 -11.31 -0.03 0.07 0.04 3 1.0541 2942.48 -0.05 -202.45 -0.02 4 1.0545 2932.99 0.05 -202.38 -0.01 5 1.9387 9963.21 0.09 -388.03 -0.11 6 1.9389 9956.95 -0.09 -387.78 0.17 7 2.0150 8035.19 0.00 -400.31 -0.02 8 2.0155 8023.51 0.00 -400.28 -0.03
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.
21RT237 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.591 39.647 39.539 ecceobj 0.120 0.120 0.121 incobj 2.776 2.775 2.777 qmin 33.745 33.840 33.688 qmax 45.502 45.536 45.542 amean 39.458 39.459 39.458 amin 39.114 39.061 39.156 amax 39.842 39.900 39.802 emean 0.126 0.124 0.128 emin 0.108 0.105 0.112 emax 0.142 0.142 0.144 imean 2.733 2.898 2.684 imin 2.156 2.193 2.165 imax 3.366 3.539 3.308 excite_mean 0.135 0.134 0.137 fracstop 1.000 1.000 1.000 cjmean 3.031 3.032 3.031 libcent 0 180.1 179.8 180.0 libamp 0 38.1 69.1 10.5 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 183.9 181.5 181.4 kozaiamp 180.0 180.0 179.9