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: 21RD237 # Created Sun Dec 22 02:11:18 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 2.10y # First observation: 2019/08/29 # Last observation: 2021/10/05 Preliminary a, adot, b, bdot, g, gdot: 0.000009 0.015500 -0.000007 0.010056 0.021679 0.000000 # Chi-squared of fit: 4.61 DOF: 18 RMS: 0.11 # Min/Max residuals: -0.26 0.21 # Exact a, adot, b, bdot, g, gdot: 1.104201E-05 1.548679E-02 7.184571E-06 1.004874E-02 2.164223E-02 -2.175868E-04 # Covariance matrix: 6.0980E-13 3.1562E-13 -4.6705E-14 3.5862E-13 1.1221E-12 1.6716E-11 3.1562E-13 2.2076E-12 -2.1180E-13 1.6312E-12 2.9385E-12 7.6034E-11 -4.6705E-14 -2.1180E-13 3.7052E-13 -3.5146E-13 -2.8888E-13 -7.8704E-12 3.5862E-13 1.6312E-12 -3.5146E-13 1.4481E-12 2.2217E-12 6.0627E-11 1.1221E-12 2.9385E-12 -2.8888E-13 2.2217E-12 5.3947E-12 1.0356E-10 1.6716E-11 7.6034E-11 -7.8704E-12 6.0627E-11 1.0356E-10 2.8260E-09 # lat0 lon0 xBary yBary zBary JD0 -1.532621 -8.786302 0.269432 -0.025876 -0.967328 2458724.712719 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 186.34348 +/- 1.098 Argument of Peri: 172.30104 +/- 1.104 Long of Asc Node: 353.19237 +/- 0.000 Inclination: 32.97662 +/- 0.001 Eccentricity: 0.12981726 +/- 0.0002 Semi-Major Axis: 41.78032323 +/- 0.0108 Time of Perihelion: 2506302.7213 +/- 300.3 Perihelion: 36.35651601 +/- 0.0134 Aphelion: 47.20413045 +/- 0.0155 Period (y) 270.0635 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.56538708 +/- 0.0049 Ecliptic Y -7.47659620 +/- 0.0008 Ecliptic Z -1.23549625 +/- 0.0001 Ecliptic XDOT 0.00031413 +/- 0.0000 Ecliptic YDOT 0.00193575 +/- 0.0000 Ecliptic ZDOT 0.00127127 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.17797383 +/- 0.0048 Geocenter to KBO 46.20595886 +/- 0.0050 # Hcoef: 8.22
The following table shows the complete astrometric record for 21RD237. 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 (21RD237) followed by the observatory code and reference code for the source of the astrometry.
2019 08 29.211918 23 30 08.280 -04 53 31.16 24.9r 21RD237 W84 C~7XPn 2019 08 29.387113 23 30 07.546 -04 53 34.78 24.9r 21RD237 W84 C~7XPn 2019 09 27.014583 23 28 05.722 -05 03 40.20 24.8r 21RD237 W84 C~7XPn 2019 09 27.176040 23 28 05.015 -05 03 43.12 24.8r 21RD237 W84 C~7XPn 2020 10 17.010669 23 29 06.196 -04 17 17.46 24.8r 21RD237 W84 C~7XPn 2020 10 17.174574 23 29 05.603 -04 17 20.07 24.8r 21RD237 W84 C~7XPn 2021 09 04.092679 23 34 25.871 -03 09 59.87 25.0r 21RD237 W84 C~7XPn 2021 09 04.195842 23 34 25.449 -03 10 01.67 25.0r 21RD237 W84 C~7XPn 2021 10 03.011907 23 32 23.135 -03 20 10.44 24.7r 21RD237 W84 C~7XPn 2021 10 03.165173 23 32 22.508 -03 20 13.38 24.7r 21RD237 W84 C~7XPn 2021 10 05.001523 23 32 15.063 -03 20 49.69 24.9r 21RD237 W84 C~7XPn 2021 10 05.173614 23 32 14.354 -03 20 53.16 24.9r 21RD237 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 0.03
2 0.0005 -11.51 0.03 1.00 0.06
3 0.0789 -1923.28 0.04 162.22 -0.26
4 0.0793 -1934.14 -0.07 163.70 0.18
5 1.1357 4.23 -0.06 2363.71 -0.03
6 1.1361 -4.96 -0.03 2364.81 -0.03
7 2.0175 5997.61 -0.26 4184.28 -0.02
8 2.0178 5991.08 0.13 4185.13 0.21
9 2.0966 4066.38 -0.05 4350.04 -0.08
10 2.0971 4056.59 0.11 4351.05 -0.02
11 2.1021 3939.76 0.11 4361.73 0.00
12 2.1026 3928.63 0.01 4362.74 -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.
21RD237 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.813 41.842 41.786 ecceobj 0.129 0.129 0.128 incobj 32.921 32.921 32.921 qmin 35.113 35.128 35.097 qmax 48.645 48.646 48.609 amean 41.734 41.748 41.690 amin 41.403 41.417 41.356 amax 42.096 42.121 42.063 emean 0.140 0.140 0.139 emin 0.123 0.123 0.122 emax 0.156 0.156 0.156 imean 33.468 33.474 33.463 imin 33.079 33.078 33.092 imax 33.809 33.820 33.833 excite_mean 0.569 0.569 0.569 fracstop 1.000 1.000 1.000 cjmean 2.665 2.665 2.665 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 189.4 188.9 192.2 kozaiamp 180.0 179.8 180.0