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: 21RM237 # Created Fri Nov 22 02:11:11 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.02y # First observation: 2019/09/28 # Last observation: 2021/10/06 Preliminary a, adot, b, bdot, g, gdot: 0.000002 0.017585 0.000005 -0.003699 0.021890 0.000000 # Chi-squared of fit: 1.52 DOF: 10 RMS: 0.08 # Min/Max residuals: -0.14 0.13 # Exact a, adot, b, bdot, g, gdot: 1.286877E-05 1.758746E-02 -1.992715E-06 -3.697347E-03 2.177540E-02 1.907016E-05 # Covariance matrix: 7.2149E-13 -1.2098E-12 -2.9081E-14 1.8246E-13 -8.6266E-13 -2.3969E-11 -1.2098E-12 1.4730E-11 4.8762E-13 -3.1509E-12 2.2044E-11 4.1408E-10 -2.9081E-14 4.8762E-13 6.3382E-13 -4.5066E-13 7.4449E-13 1.3968E-11 1.8246E-13 -3.1509E-12 -4.5066E-13 9.6102E-13 -4.8583E-12 -9.0345E-11 -8.6266E-13 2.2044E-11 7.4449E-13 -4.8583E-12 3.7604E-11 6.3854E-10 -2.3969E-11 4.1408E-10 1.3968E-11 -9.0345E-11 6.3854E-10 1.1873E-08 # lat0 lon0 xBary yBary zBary JD0 -2.046504 -7.950557 -0.220191 -0.034817 -0.974757 2458754.513078 # Heliocentric elements and errors Epoch: 2458750.5000 = 2019/09/24 Mean Anomaly: 176.79328 +/- 1.458 Argument of Peri: 11.88333 +/- 1.479 Long of Asc Node: 162.85005 +/- 0.002 Inclination: 12.01699 +/- 0.002 Eccentricity: 0.18944237 +/- 0.0006 Semi-Major Axis: 39.43934840 +/- 0.0214 Time of Perihelion: 2504790.1407 +/- 364.7 Perihelion: 31.96786477 +/- 0.0285 Aphelion: 46.91083202 +/- 0.0341 Period (y) 247.6868 +/- 0.20 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.45247349 +/- 0.0128 Ecliptic Y -6.27183265 +/- 0.0018 Ecliptic Z -1.64005947 +/- 0.0005 Ecliptic XDOT 0.00030029 +/- 0.0000 Ecliptic YDOT 0.00219292 +/- 0.0000 Ecliptic ZDOT -0.00046489 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.90264357 +/- 0.0127 Geocenter to KBO 45.92337217 +/- 0.0129 # Hcoef: 8.26
The following table shows the complete astrometric record for 21RM237. 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 (21RM237) followed by the observatory code and reference code for the source of the astrometry.
2019 09 28.012277 23 34 02.051 -05 02 02.78 24.8r 21RM237 W84 C~7XPn 2019 09 28.177548 23 34 01.381 -05 02 07.03 24.8r 21RM237 W84 C~7XPo 2020 10 20.004233 23 36 41.728 -04 59 04.73 25.0r 21RM237 W84 C~7XPo 2020 10 20.172968 23 36 41.181 -04 59 08.29 25.0r 21RM237 W84 C~7XPo 2021 09 09.073508 23 43 23.595 -04 28 35.56 24.8r 21RM237 W84 C~7XPo 2021 09 09.192572 23 43 23.101 -04 28 39.09 24.8r 21RM237 W84 C~7XPo 2021 10 06.002765 23 41 35.945 -04 41 02.14 24.9r 21RM237 W84 C~7XPo 2021 10 06.167954 23 41 35.304 -04 41 06.30 24.9r 21RM237 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 -0.02 0.00 -0.14
2 0.0005 -10.88 0.01 0.06 0.10
3 1.0623 2261.61 -0.10 -781.26 0.07
4 1.0627 2252.69 0.13 -781.29 0.02
5 1.9495 8506.01 0.11 -1491.67 0.03
6 1.9498 8497.82 -0.09 -1491.96 -0.01
7 2.0232 6729.77 -0.04 -1535.13 -0.08
8 2.0237 6719.31 0.01 -1535.13 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.
21RM237 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.476 39.541 39.419 ecceobj 0.187 0.187 0.188 incobj 11.998 11.996 12.000 qmin 30.999 31.132 30.938 qmax 48.207 48.132 48.409 amean 39.456 39.456 39.456 amin 39.103 39.132 39.053 amax 39.866 39.836 39.916 emean 0.186 0.183 0.190 emin 0.160 0.156 0.166 emax 0.212 0.210 0.214 imean 11.888 11.928 11.823 imin 11.101 11.063 11.046 imax 12.818 12.828 12.718 excite_mean 0.278 0.277 0.279 fracstop 1.000 1.000 1.000 cjmean 2.964 2.965 2.963 libcent 0 179.5 179.8 180.4 libamp 0 40.3 24.0 71.0 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 183.2 188.6 189.6 kozaiamp 180.0 180.0 180.0