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: 21RY236 # Created Mon Apr 28 01:11:27 2025 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.11y # First observation: 2019/08/28 # Last observation: 2021/10/07 Preliminary a, adot, b, bdot, g, gdot: 0.000007 0.023738 0.000000 -0.000560 0.024361 0.000000 # Chi-squared of fit: 0.44 DOF: 10 RMS: 0.04 # Min/Max residuals: -0.09 0.06 # Exact a, adot, b, bdot, g, gdot: 1.517995E-05 2.370370E-02 -5.620232E-07 -5.591066E-04 2.426477E-02 -1.174028E-04 # Covariance matrix: 7.2801E-13 -1.9027E-12 -6.1356E-15 3.8731E-14 -1.4350E-12 -3.2442E-11 -1.9027E-12 7.0989E-11 2.5984E-13 -1.6835E-12 7.7705E-11 1.4111E-09 -6.1356E-15 2.5984E-13 6.2555E-13 -3.4060E-13 2.8388E-13 5.1900E-12 3.8731E-14 -1.6835E-12 -3.4060E-13 2.9373E-13 -1.8435E-12 -3.3609E-11 -1.4350E-12 7.7705E-11 2.8388E-13 -1.8435E-12 8.6569E-11 1.5453E-09 -3.2442E-11 1.4111E-09 5.1900E-12 -3.3609E-11 1.5453E-09 2.8170E-08 # lat0 lon0 xBary yBary zBary JD0 -0.608096 -8.932812 0.283390 -0.010225 -0.963765 2458723.711696 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 338.52208 +/- 15.300 Argument of Peri: 226.11694 +/- 16.089 Long of Asc Node: 147.03639 +/- 0.020 Inclination: 1.48163 +/- 0.001 Eccentricity: 0.02334187 +/- 0.0031 Semi-Major Axis: 43.11395904 +/- 0.0372 Time of Perihelion: 2464889.5038 +/- 4394.5 Perihelion: 42.10759875 +/- 0.1373 Aphelion: 44.12031933 +/- 0.1378 Period (y) 283.0969 +/- 0.37 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.62082546 +/- 0.0156 Ecliptic Y -6.83547672 +/- 0.0024 Ecliptic Z -0.43740745 +/- 0.0002 Ecliptic XDOT 0.00041001 +/- 0.0000 Ecliptic YDOT 0.00264483 +/- 0.0000 Ecliptic ZDOT -0.00006317 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.18066120 +/- 0.0154 Geocenter to KBO 41.21201618 +/- 0.0158 # Hcoef: 8.67
The following table shows the complete astrometric record for 21RY236. 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 (21RY236) followed by the observatory code and reference code for the source of the astrometry.
2019 08 28.210895 23 28 08.123 -04 06 00.35 24.9r 21RY236 W84 C~7XPn 2019 08 28.388381 23 28 07.361 -04 06 05.36 24.9r 21RY236 W84 C~7XPn 2020 10 17.010669 23 29 38.545 -03 58 35.24 24.9r 21RY236 W84 C~7XPn 2020 10 17.174574 23 29 37.940 -03 58 39.01 24.9r 21RY236 W84 C~7XPn 2021 09 05.096099 23 37 40.253 -03 08 51.92 24.8r 21RY236 W84 C~7XPn 2021 09 05.195929 23 37 39.814 -03 08 54.92 24.8r 21RY236 W84 C~7XPn 2021 10 07.004805 23 35 21.748 -03 23 52.95 24.7r 21RY236 W84 C~7XPn 2021 10 07.169933 23 35 21.059 -03 23 57.35 24.7r 21RY236 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 0.04
2 0.0005 -12.45 -0.06 -0.11 -0.05
3 1.1384 1418.89 0.02 -124.23 0.01
4 1.1388 1409.09 -0.02 -124.13 0.01
5 2.0230 9228.54 0.04 -235.81 0.05
6 2.0232 9221.30 -0.04 -235.96 -0.09
7 2.1103 6963.61 0.03 -241.46 0.03
8 2.1108 6952.38 -0.03 -241.42 -0.01
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.
21RY236 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.162 43.224 43.120 ecceobj 0.027 0.036 0.025 incobj 1.476 1.476 1.476 qmin 40.741 40.236 40.946 qmax 45.554 46.173 45.276 amean 43.052 43.110 43.012 amin 42.718 42.770 42.686 amax 43.383 43.454 43.346 emean 0.034 0.045 0.028 emin 0.012 0.025 0.006 emax 0.050 0.063 0.045 imean 2.128 2.105 2.158 imin 1.033 1.029 1.034 imax 2.836 2.838 2.882 excite_mean 0.050 0.059 0.047 fracstop 1.000 1.000 1.000 cjmean 3.087 3.087 3.087 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 189.0 190.7 183.6 kozaiamp 179.9 180.0 179.9