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: 21RN237 # Created Sun Apr 27 01:11:27 2025 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 2.10y # First observation: 2019/08/30 # Last observation: 2021/10/06 Preliminary a, adot, b, bdot, g, gdot: 0.000012 0.023869 -0.000000 0.000473 0.024074 0.000000 # Chi-squared of fit: 9.86 DOF: 18 RMS: 0.16 # Min/Max residuals: -0.31 0.32 # Exact a, adot, b, bdot, g, gdot: 1.720555E-05 2.388512E-02 6.182236E-07 4.738144E-04 2.404152E-02 8.610637E-04 # Covariance matrix: 6.4987E-13 5.5792E-13 -4.2092E-15 1.5117E-14 1.3461E-12 1.5712E-11 5.5792E-13 4.2245E-12 -1.9922E-14 8.7960E-14 4.9222E-12 9.0476E-11 -4.2092E-15 -1.9922E-14 3.3096E-13 -1.9310E-13 -2.5473E-14 -4.4243E-13 1.5117E-14 8.7960E-14 -1.9310E-13 1.8035E-13 1.0412E-13 1.9741E-12 1.3461E-12 4.9222E-12 -2.5473E-14 1.0412E-13 7.0307E-12 1.0749E-10 1.5712E-11 9.0476E-11 -4.4243E-13 1.9741E-12 1.0749E-10 2.0295E-09 # lat0 lon0 xBary yBary zBary JD0 -2.394758 -7.561820 0.273652 -0.040372 -0.965503 2458725.713221 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 23.73971 +/- 1.175 Argument of Peri: 268.03376 +/- 1.398 Long of Asc Node: 56.46578 +/- 0.020 Inclination: 2.59440 +/- 0.000 Eccentricity: 0.07498140 +/- 0.0008 Semi-Major Axis: 45.65151940 +/- 0.0099 Time of Perihelion: 2451291.0930 +/- 367.6 Perihelion: 42.22850444 +/- 0.0394 Aphelion: 49.07453437 +/- 0.0398 Period (y) 308.4545 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.12175252 +/- 0.0045 Ecliptic Y -5.87424198 +/- 0.0006 Ecliptic Z -1.73797860 +/- 0.0002 Ecliptic XDOT 0.00046576 +/- 0.0000 Ecliptic YDOT 0.00268378 +/- 0.0000 Ecliptic ZDOT 0.00004959 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.56488370 +/- 0.0045 Geocenter to KBO 41.59471367 +/- 0.0046 # Hcoef: 9.07
The following table shows the complete astrometric record for 21RN237. 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 (21RN237) followed by the observatory code and reference code for the source of the astrometry.
2019 08 30.212420 23 36 01.217 -05 12 00.79 25.3r 21RN237 W84 C~7XPo 2019 08 30.387214 23 36 00.509 -05 12 05.10 25.3r 21RN237 W84 C~7XPo 2019 09 28.012277 23 33 56.399 -05 25 17.64 25.4r 21RN237 W84 C~7XPo 2019 09 28.177548 23 33 55.645 -05 25 22.07 25.4r 21RN237 W84 C~7XPo 2020 10 18.012125 23 37 33.434 -04 59 36.70 25.3r 21RN237 W84 C~7XPo 2020 10 18.176134 23 37 32.835 -04 59 39.92 25.3r 21RN237 W84 C~7XPo 2020 10 20.004233 23 37 26.299 -05 00 17.64 25.4r 21RN237 W84 C~7XPo 2020 10 20.172968 23 37 25.701 -05 00 21.42 25.4r 21RN237 W84 C~7XPo 2021 09 09.073508 23 45 17.406 -04 08 29.66 25.0r 21RN237 W84 C~7XPo 2021 09 09.192572 23 45 16.876 -04 08 33.11 25.0r 21RN237 W84 C~7XPo 2021 10 06.002765 23 43 20.969 -04 20 45.24 25.2r 21RN237 W84 C~7XPo 2021 10 06.167954 23 43 20.263 -04 20 49.14 25.2r 21RN237 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 -0.31 0.00 -0.06
2 0.0005 -11.42 0.32 0.23 0.21
3 0.0788 -2027.45 0.23 5.57 -0.06
4 0.0793 -2039.55 -0.25 5.95 0.08
5 1.1357 1559.87 -0.15 137.28 -0.14
6 1.1361 1550.38 0.06 137.88 0.02
7 1.1411 1445.76 0.05 141.97 0.08
8 1.1416 1436.05 0.04 142.04 -0.31
9 2.0284 9150.79 0.08 191.84 0.13
10 2.0287 9142.13 -0.08 191.84 0.10
11 2.1021 7257.17 0.02 211.64 -0.17
12 2.1025 7245.92 -0.01 212.27 0.14
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.
21RN237 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.705 45.733 45.676 ecceobj 0.075 0.076 0.074 incobj 2.594 2.594 2.594 qmin 41.627 41.643 41.639 qmax 49.791 49.831 49.687 amean 45.566 45.595 45.537 amin 45.204 45.220 45.177 amax 45.961 45.977 45.922 emean 0.070 0.071 0.069 emin 0.056 0.057 0.055 emax 0.083 0.084 0.082 imean 1.556 1.557 1.554 imin 1.078 1.080 1.074 imax 2.034 2.033 2.034 excite_mean 0.075 0.076 0.074 fracstop 1.000 1.000 1.000 cjmean 3.114 3.114 3.114 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 188.7 189.9 187.5 kozaiamp 180.0 179.9 179.9