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: 21RW209
# Created Sun Nov 24 02:11:08 2024
# Orbit generated from Bernstein formalism
# Fitting 6 observations of 6
# Arc: 1.20y
# First observation: 2021/09/07
# Last observation: 2022/11/20
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 0.011150 -0.000002 -0.009667 0.016908 0.000000
# Chi-squared of fit: 0.72 DOF: 6 RMS: 0.06
# Min/Max residuals: -0.10 0.10
# Exact a, adot, b, bdot, g, gdot:
9.934878E-06 1.124227E-02 -8.652010E-06 -9.732042E-03 1.705523E-02 3.875898E-03
# Covariance matrix:
7.6283E-13 1.8925E-12 7.3945E-15 -2.2174E-12 3.9086E-12 1.9729E-10
1.8925E-12 2.3319E-10 6.1907E-13 -1.9440E-10 3.5634E-10 1.7316E-08
7.3945E-15 6.1907E-13 7.3439E-13 -1.1782E-12 9.5693E-13 4.8265E-11
-2.2174E-12 -1.9440E-10 -1.1782E-12 1.6729E-10 -2.9931E-10 -1.4818E-08
3.9086E-12 3.5634E-10 9.5693E-13 -2.9931E-10 5.4685E-10 2.6657E-08
1.9729E-10 1.7316E-08 4.8265E-11 -1.4818E-08 2.6657E-08 1.3191E-06
# lat0 lon0 xBary yBary zBary JD0
8.955050 8.632735 0.399968 0.142293 -0.904025 2459465.117661
# Heliocentric elements and errors
Epoch: 2459460.5000 = 2021/09/03
Mean Anomaly: 32.46747 +/- 2.999
Argument of Peri: 103.96437 +/- 7.057
Long of Asc Node: 198.36413 +/- 0.009
Inclination: 41.41888 +/- 0.028
Eccentricity: 0.33616128 +/- 0.0778
Semi-Major Axis: 77.50349685 +/- 4.4028
Time of Perihelion: 2436984.1203 +/- 801.1
Perihelion: 51.44982200 +/- 6.7022
Aphelion: 103.55717170 +/- 8.4252
Period (y) 682.3232 +/- 58.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 58.23509425 +/- 0.0785
Ecliptic Y 8.43177646 +/- 0.0119
Ecliptic Z 9.12629687 +/- 0.0125
Ecliptic XDOT 0.00058194 +/- 0.0002
Ecliptic YDOT 0.00192087 +/- 0.0000
Ecliptic ZDOT -0.00144655 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 59.54586763 +/- 0.0768
Geocenter to KBO 58.63302942 +/- 0.0804
# Hcoef: 7.38
The following table shows the complete astrometric record for 21RW209. 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 (21RW209) followed by the observatory code and reference code for the source of the astrometry.
2021 09 07.61686 00 17 21.596 +11 38 30.69 25.0r 21RW209 568 C~6DL3 2021 09 08.61871 00 17 18.560 +11 38 09.18 25.1r 21RW209 568 C~6DL3 2022 10 16.10870 00 18 40.571 +11 07 13.39 25.0r 21RW209 304 C~6DL3 2022 10 16.17879 00 18 40.349 +11 07 11.35 25.0r 21RW209 304 C~6DL3 2022 11 19.04598 00 17 15.856 +10 51 58.73 25.1r 21RW209 304 C~6DL3 2022 11 20.04390 00 17 14.113 +10 51 34.33 25.2r 21RW209 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 0.10 0.00 -0.08
2 0.0027 -49.49 -0.10 -1.79 0.07
3 1.1047 311.06 0.05 -2185.53 0.04
4 1.1049 307.25 -0.05 -2186.09 -0.01
5 1.1976 -1198.57 0.05 -2523.20 0.03
6 1.2003 -1231.89 -0.04 -2535.24 -0.05
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.
21RW209 quality flag:1 Type: SCATNEAR SCATNEAR SCATEXTD axisobj 77.093 98.990 70.368 ecceobj 0.332 0.555 0.154 incobj 41.400 41.325 41.473 qmin 50.563 42.947 58.534 qmax 104.140 157.113 81.975 amean 76.687 98.363 69.995 amin 75.794 96.849 69.326 amax 77.789 100.626 70.724 emean 0.323 0.549 0.148 emin 0.312 0.536 0.139 emax 0.339 0.562 0.159 imean 41.702 41.664 41.658 imin 41.383 41.286 41.453 imax 42.053 42.265 41.874 excite_mean 0.740 0.862 0.681 fracstop 1.000 1.000 1.000 cjmean 2.648 2.564 2.684 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 143.3 119.8 192.7 kozaiamp 41.6 27.3 50.1