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: 21RN238 # Created Mon Apr 28 01:11:28 2025 # 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: -0.000006 0.024904 -0.000001 0.000412 0.025145 0.000000 # Chi-squared of fit: 1.21 DOF: 10 RMS: 0.07 # Min/Max residuals: -0.13 0.12 # Exact a, adot, b, bdot, g, gdot: 1.590579E-05 2.485817E-02 4.481154E-07 4.111703E-04 2.488782E-02 -9.110671E-04 # Covariance matrix: 7.3132E-13 -1.2349E-12 2.5883E-15 -1.4775E-14 -7.5214E-13 -1.7419E-11 -1.2349E-12 1.1591E-11 -3.7435E-14 1.9711E-13 1.5068E-11 2.3136E-10 2.5883E-15 -3.7435E-14 6.1656E-13 -3.4610E-13 -5.3253E-14 -7.7142E-13 -1.4775E-14 1.9711E-13 -3.4610E-13 2.7897E-13 2.6938E-13 4.0423E-12 -7.5214E-13 1.5068E-11 -5.3253E-14 2.6938E-13 2.4219E-11 3.1544E-10 -1.7419E-11 2.3136E-10 -7.7142E-13 4.0423E-12 3.1544E-10 4.7433E-09 # lat0 lon0 xBary yBary zBary JD0 -0.727888 -8.878584 -0.252596 -0.012274 -0.967251 2458755.514497 # Heliocentric elements and errors Epoch: 2458750.5000 = 2019/09/24 Mean Anomaly: 328.96007 +/- 2.195 Argument of Peri: 357.38301 +/- 2.485 Long of Asc Node: 28.29316 +/- 0.034 Inclination: 1.18551 +/- 0.001 Eccentricity: 0.05117443 +/- 0.0019 Semi-Major Axis: 43.00647399 +/- 0.0326 Time of Perihelion: 2467632.6369 +/- 628.1 Perihelion: 40.80564234 +/- 0.0877 Aphelion: 45.20730565 +/- 0.0890 Period (y) 282.0389 +/- 0.32 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.69346535 +/- 0.0079 Ecliptic Y -6.10764625 +/- 0.0012 Ecliptic Z -0.51043663 +/- 0.0001 Ecliptic XDOT 0.00033210 +/- 0.0000 Ecliptic YDOT 0.00271812 +/- 0.0000 Ecliptic ZDOT 0.00004627 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.15242411 +/- 0.0078 Geocenter to KBO 40.18029570 +/- 0.0079 # Hcoef: 8.66
The following table shows the complete astrometric record for 21RN238. 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 (21RN238) followed by the observatory code and reference code for the source of the astrometry.
2019 09 29.013696 23 28 31.473 -04 11 19.80 24.7r 21RN238 W84 C~7XPp 2019 09 29.177510 23 28 30.745 -04 11 24.22 24.7r 21RN238 W84 C~7XPp 2020 10 18.012125 23 32 23.881 -03 44 39.41 24.8r 21RN238 W84 C~7XPp 2020 10 18.176134 23 32 23.250 -03 44 42.98 24.8r 21RN238 W84 C~7XPp 2021 09 06.108763 23 40 39.373 -02 50 08.41 24.6r 21RN238 W84 C~7XPp 2021 09 06.196686 23 40 38.972 -02 50 10.71 24.6r 21RN238 W84 C~7XPp 2021 10 04.002582 23 38 34.502 -03 03 26.01 24.7r 21RN238 W84 C~7XPp 2021 10 04.175328 23 38 33.747 -03 03 30.62 24.7r 21RN238 W84 C~7XPp
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 -0.02 0.00 -0.04
2 0.0004 -11.75 0.02 0.23 0.04
3 1.0541 3827.51 0.07 98.17 -0.12
4 1.0545 3817.41 -0.07 98.62 0.12
5 1.9387 11949.20 -0.01 162.39 -0.13
6 1.9389 11942.75 0.01 162.66 0.10
7 2.0150 9909.96 -0.03 172.55 -0.02
8 2.0155 9897.73 0.03 172.81 0.06
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.
21RN238 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.058 43.127 42.990 ecceobj 0.055 0.059 0.052 incobj 1.188 1.188 1.187 qmin 39.271 39.150 39.350 qmax 46.837 47.092 46.638 amean 42.942 43.010 42.877 amin 42.610 42.665 42.548 amax 43.299 43.364 43.235 emean 0.062 0.066 0.059 emin 0.038 0.043 0.035 emax 0.082 0.086 0.079 imean 1.650 1.618 1.680 imin 0.214 0.209 0.206 imax 2.500 2.481 2.526 excite_mean 0.069 0.073 0.066 fracstop 1.000 1.000 1.000 cjmean 3.083 3.083 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 187.0 185.1 188.9 kozaiamp 180.0 180.0 180.0