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: 21RV209 # Created Wed Jul 17 01:11:51 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 14 observations of 14 # Arc: 22.09y # First observation: 2000/08/01 # Last observation: 2022/09/03 # Chi-squared of fit: 11.31 DOF: 22 RMS: 0.16 # Min/Max residuals: -0.42 0.28 # Exact a, adot, b, bdot, g, gdot: 1.020519E-05 1.182029E-02 3.927485E-06 2.895748E-03 1.673480E-02 5.963502E-03 # Covariance matrix: 4.7551E-13 -3.2591E-13 3.7878E-14 -7.5964E-14 -4.6119E-13 -1.3137E-12 -3.2591E-13 1.1829E-12 -1.4523E-13 2.9111E-13 1.9763E-12 5.0303E-12 3.7878E-14 -1.4523E-13 4.0480E-13 -5.3964E-14 -2.4250E-13 -6.1822E-13 -7.5964E-14 2.9111E-13 -5.3964E-14 7.2923E-14 4.8585E-13 1.2392E-12 -4.6119E-13 1.9763E-12 -2.4250E-13 4.8585E-13 3.6446E-12 8.3887E-12 -1.3137E-12 5.0303E-12 -6.1822E-13 1.2392E-12 8.3887E-12 2.1414E-11 # lat0 lon0 xBary yBary zBary JD0 -1.214443 -50.410274 0.013827 -0.021675 -1.014289 2451757.666633 # Heliocentric elements and errors Epoch: 2451758.5000 = 2000/08/02 Mean Anomaly: 64.36596 +/- 0.038 Argument of Peri: 239.60412 +/- 0.020 Long of Asc Node: 314.44488 +/- 0.000 Inclination: 13.81782 +/- 0.000 Eccentricity: 0.43715624 +/- 0.0003 Semi-Major Axis: 61.04522275 +/- 0.0091 Time of Perihelion: 2420610.5345 +/- 19.8 Perihelion: 34.35892257 +/- 0.0196 Aphelion: 87.73152294 +/- 0.0230 Period (y) 476.9641 +/- 0.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.71507280 +/- 0.0048 Ecliptic Y -46.82511142 +/- 0.0058 Ecliptic Z -1.26626074 +/- 0.0002 Ecliptic XDOT 0.00211115 +/- 0.0000 Ecliptic YDOT 0.00047854 +/- 0.0000 Ecliptic ZDOT 0.00045312 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 60.77014788 +/- 0.0054 Geocenter to KBO 59.75542326 +/- 0.0076 # Hcoef: 5.84
The following table shows the complete astrometric record for 21RV209. 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 (21RV209) followed by the observatory code and reference code for the source of the astrometry.
2000 08 01.16589 20 49 29.26 -19 01 15.6 22.3R 21RV209 807 C~6DL3 2000 08 01.23941 20 49 28.99 -19 01 16.4 21RV209 807 C~6DL3 2001 08 19.10985 20 51 00.51 -18 44 24.2 22.2R 21RV209 807 C~6DL3 2001 08 19.18759 20 51 00.22 -18 44 24.8 21RV209 807 C~6DL3 2021 09 03.03552 21 34 24.478 -12 24 39.91 24.5r 21RV209 807 C~6DL3 2021 09 03.17190 21 34 24.085 -12 24 41.91 24.4r 21RV209 807 C~6DL3 2021 10 02.00362 21 33 13.111 -12 30 22.73 24.1r 21RV209 304 C~6DL3 2021 10 02.14763 21 33 12.834 -12 30 23.94 24.2r 21RV209 304 C~6DL3 2021 12 02.03393 21 32 54.834 -12 32 15.70 24.3r 21RV209 304 C~6DL3 2021 12 07.03627 21 33 02.786 -12 31 38.54 24.3r 21RV209 304 C~6DL3 2022 04 29.41554 21 39 55.721 -11 53 48.70 24.5r 21RV209 304 C~6DL3 2022 04 30.41473 21 39 56.822 -11 53 40.15 24.4r 21RV209 304 C~6DL3 2022 09 02.22697 21 36 23.706 -12 06 28.44 24.1r 21RV209 304 C~6DL3 2022 09 03.22731 21 36 20.808 -12 06 42.17 24.3r 21RV209 304 C~6DL3
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 0.27 0.00 -0.18
2 0.0002 0.00 0.20 0.00 -0.08
3 1.0484 0.00 -0.07 0.00 -0.01
4 1.0487 0.00 -0.42 0.00 0.28
5 21.0893 0.00 -0.02 0.00 0.22
6 21.0897 0.00 0.06 0.00 0.07
7 21.1686 0.00 -0.01 0.00 -0.07
8 21.1690 0.00 0.10 0.00 0.09
9 21.3357 0.00 -0.02 0.00 -0.04
10 21.3494 0.00 -0.03 0.00 -0.15
11 21.7420 0.00 0.13 0.00 0.11
12 21.7447 0.00 -0.23 0.00 -0.18
13 22.0864 0.00 0.10 0.00 -0.00
14 22.0891 0.00 -0.16 0.00 -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.
21RV209 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 61.161 61.162 61.161 ecceobj 0.437 0.437 0.437 incobj 13.799 13.799 13.799 qmin 33.267 33.186 33.243 qmax 91.197 91.291 91.077 amean 61.282 61.231 61.362 amin 59.900 59.984 60.017 amax 62.644 62.501 62.591 emean 0.439 0.439 0.439 emin 0.418 0.414 0.418 emax 0.458 0.461 0.456 imean 15.214 15.173 15.289 imin 13.993 13.739 13.874 imax 16.380 16.388 16.359 excite_mean 0.511 0.511 0.512 fracstop 1.000 1.000 1.000 cjmean 2.965 2.965 2.965 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 193.9 189.9 194.6 kozaiamp 180.0 179.9 179.9