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: 21DO15 # Created Sun Dec 22 02:11:16 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 3.74y # First observation: 2018/03/10 # Last observation: 2021/12/06 Preliminary a, adot, b, bdot, g, gdot: 0.000020 0.011913 0.000022 -0.005035 0.017609 0.000000 # Chi-squared of fit: 3.53 DOF: 18 RMS: 0.10 # Min/Max residuals: -0.21 0.25 # Exact a, adot, b, bdot, g, gdot: 1.077238E-05 1.197216E-02 -4.647590E-06 -5.017357E-03 1.718119E-02 7.872341E-04 # Covariance matrix: 6.5339E-13 -6.2656E-13 -8.1426E-14 2.1576E-13 -8.3292E-13 -1.1261E-11 -6.2656E-13 1.4064E-12 2.3711E-13 -6.2843E-13 2.6002E-12 3.2857E-11 -8.1426E-14 2.3711E-13 5.1793E-13 -2.6089E-13 4.9912E-13 5.9892E-12 2.1576E-13 -6.2843E-13 -2.6089E-13 3.6409E-13 -1.3236E-12 -1.5877E-11 -8.3292E-13 2.6002E-12 4.9912E-13 -1.3236E-12 6.2487E-12 6.9453E-11 -1.1261E-11 3.2857E-11 5.9892E-12 -1.5877E-11 6.9453E-11 8.3136E-10 # lat0 lon0 xBary yBary zBary JD0 -3.442967 96.316698 -0.946812 -0.017815 -0.298594 2458187.554539 # Heliocentric elements and errors Epoch: 2458180.5000 = 2018/03/03 Mean Anomaly: 150.95363 +/- 0.540 Argument of Peri: 29.82443 +/- 0.549 Long of Asc Node: 269.15063 +/- 0.001 Inclination: 23.02309 +/- 0.002 Eccentricity: 0.17130461 +/- 0.0009 Semi-Major Axis: 50.63519702 +/- 0.0096 Time of Perihelion: 2402995.8552 +/- 196.6 Perihelion: 41.96115459 +/- 0.0463 Aphelion: 59.30923945 +/- 0.0470 Period (y) 360.3188 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -7.36817229 +/- 0.0010 Ecliptic Y 57.93201605 +/- 0.0084 Ecliptic Z -3.49569830 +/- 0.0005 Ecliptic XDOT -0.00189839 +/- 0.0000 Ecliptic YDOT -0.00013770 +/- 0.0000 Ecliptic ZDOT -0.00080576 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 58.50323370 +/- 0.0083 Geocenter to KBO 58.20318991 +/- 0.0085 # Hcoef: 6.35
The following table shows the complete astrometric record for 21DO15. 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 (21DO15) followed by the observatory code and reference code for the source of the astrometry.
2018 03 10.053738 06 26 49.27 +19 50 57.9 23.7r 21DO15 W84 C~5zHK 2018 03 10.055802 06 26 49.26 +19 50 57.8 21DO15 W84 C~5zHK 2019 02 28.039348 06 29 52.66 +19 31 27.0 23.9V 21DO15 W84 C~5zHK 2019 02 28.041416 06 29 52.64 +19 31 27.0 21DO15 W84 C~5zHK 2021 02 16.36081 06 35 54.082 +18 51 58.63 24.0r 21DO15 568 C~5Jzg 2021 02 17.38361 06 35 51.647 +18 52 01.61 23.9r 21DO15 568 C~5Jzg 2021 04 11.98750 06 35 23.797 +18 53 45.43 24.0r 21DO15 304 C~5Jzg 2021 04 12.99833 06 35 25.253 +18 53 46.01 24.2r 21DO15 304 C~5Jzg 2021 10 30.35533 06 44 34.717 +18 32 19.06 24.1r 21DO15 304 C~5Jzg 2021 12 02.24712 06 43 12.129 +18 30 22.04 24.2r 21DO15 304 C~5Jzg 2021 12 02.29547 06 43 11.955 +18 30 21.64 24.2r 21DO15 304 C~5Jzg 2021 12 06.21694 06 42 58.574 +18 30 15.95 24.0r 21DO15 304 C~5Jzg
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 0.05 0.00 0.01
2 0.0000 -0.14 -0.06 -0.11 -0.10
3 0.9719 2644.25 0.13 -1043.23 0.11
4 0.9719 2643.97 -0.11 -1043.24 0.10
5 2.9413 7891.67 -0.04 -3126.23 -0.12
6 2.9441 7856.93 -0.03 -3125.30 0.00
7 3.0909 7455.58 -0.00 -3044.90 -0.21
8 3.0936 7476.21 0.04 -3043.11 0.03
9 3.6422 15376.29 0.01 -3821.21 -0.08
10 3.7322 14206.85 0.06 -4021.10 0.25
11 3.7324 14204.40 -0.06 -4021.67 -0.08
12 3.7431 14014.02 0.01 -4040.56 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.
21DO15 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 51.086 51.115 51.057 ecceobj 0.166 0.165 0.168 incobj 22.891 22.888 22.893 qmin 41.299 41.379 41.257 qmax 60.868 60.807 60.933 amean 50.849 50.880 50.823 amin 50.395 50.410 50.374 amax 51.352 51.395 51.336 emean 0.172 0.170 0.173 emin 0.158 0.157 0.160 emax 0.185 0.184 0.187 imean 24.442 24.433 24.447 imin 24.186 24.183 24.200 imax 24.750 24.744 24.757 excite_mean 0.448 0.447 0.449 fracstop 1.000 1.000 1.000 cjmean 2.923 2.924 2.922 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 180.3 181.5 180.4 kozaiamp 179.9 180.0 180.0