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: 21RK237 # 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: 0.000009 0.024090 -0.000001 0.001516 0.024561 0.000000 # Chi-squared of fit: 11.18 DOF: 10 RMS: 0.21 # Min/Max residuals: -0.46 0.44 # Exact a, adot, b, bdot, g, gdot: 1.527860E-05 2.412623E-02 1.317241E-06 1.520215E-03 2.453530E-02 1.233266E-03 # Covariance matrix: 7.2622E-13 -1.7436E-12 1.6026E-14 -9.3268E-14 -1.2619E-12 -2.8759E-11 -1.7436E-12 5.7324E-11 -6.4197E-13 3.6317E-12 6.3061E-11 1.1199E-09 1.6026E-14 -6.4197E-13 6.3126E-13 -3.7555E-13 -7.0858E-13 -1.2600E-11 -9.3268E-14 3.6317E-12 -3.7555E-13 4.8607E-13 3.9971E-12 7.1324E-11 -1.2619E-12 6.3061E-11 -7.0858E-13 3.9971E-12 7.0971E-11 1.2326E-09 -2.8759E-11 1.1199E-09 -1.2600E-11 7.1324E-11 1.2326E-09 2.1994E-08 # lat0 lon0 xBary yBary zBary JD0 -1.973789 -9.322608 0.260363 -0.033409 -0.969578 2458724.712719 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 54.44483 +/- 2.743 Argument of Peri: 271.76989 +/- 3.452 Long of Asc Node: 18.52041 +/- 0.008 Inclination: 4.07257 +/- 0.001 Eccentricity: 0.05665563 +/- 0.0053 Semi-Major Axis: 43.05378012 +/- 0.0095 Time of Perihelion: 2443115.2953 +/- 786.2 Perihelion: 40.61454105 +/- 0.2270 Aphelion: 45.49301920 +/- 0.2271 Period (y) 282.5043 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.11341952 +/- 0.0138 Ecliptic Y -7.01960658 +/- 0.0023 Ecliptic Z -1.40373165 +/- 0.0005 Ecliptic XDOT 0.00058607 +/- 0.0000 Ecliptic YDOT 0.00263399 +/- 0.0000 Ecliptic ZDOT 0.00016457 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.73198538 +/- 0.0136 Geocenter to KBO 40.75760343 +/- 0.0140 # Hcoef: 9.33
The following table shows the complete astrometric record for 21RK237. 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 (21RK237) followed by the observatory code and reference code for the source of the astrometry.
2019 08 29.211918 23 28 51.506 -05 30 31.79 25.2r 21RK237 W84 C~7XPn 2019 08 29.387113 23 28 50.732 -05 30 36.56 25.2r 21RK237 W84 C~7XPn 2020 10 16.001792 23 30 20.169 -05 14 13.41 25.5r 21RK237 W84 C~7XPn 2020 10 16.175804 23 30 19.514 -05 14 16.94 25.5r 21RK237 W84 C~7XPn 2021 09 05.096099 23 38 14.476 -04 18 39.04 25.7r 21RK237 W84 C~7XPn 2021 09 05.195929 23 38 13.994 -04 18 42.80 25.7r 21RK237 W84 C~7XPn 2021 10 07.004805 23 35 53.714 -04 33 07.14 25.4r 21RK237 W84 C~7XPn 2021 10 07.169933 23 35 53.006 -04 33 11.12 25.4r 21RK237 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 -0.07
2 0.0005 -12.50 -0.05 0.17 0.00
3 1.1329 1602.77 -0.09 376.46 0.01
4 1.1334 1592.38 0.07 377.08 0.14
5 2.0202 9440.09 0.44 628.71 0.28
6 2.0205 9431.96 -0.46 628.12 -0.39
7 2.1076 7159.63 0.06 668.05 -0.07
8 2.1080 7148.32 -0.03 668.60 0.09
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.
21RK237 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.070 43.126 43.027 ecceobj 0.054 0.066 0.044 incobj 4.067 4.066 4.068 qmin 40.114 39.651 40.449 qmax 46.014 46.573 45.540 amean 42.973 43.031 42.929 amin 42.640 42.698 42.598 amax 43.310 43.376 43.271 emean 0.044 0.056 0.035 emin 0.023 0.035 0.013 emax 0.063 0.074 0.053 imean 3.544 3.550 3.538 imin 2.557 2.539 2.560 imax 4.486 4.499 4.476 excite_mean 0.076 0.083 0.071 fracstop 1.000 1.000 1.000 cjmean 3.082 3.082 3.083 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 189.4 190.0 189.8 kozaiamp 180.0 179.9 179.9