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: 21CP40 # Created Fri Nov 22 02:11:08 2024 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 1.14y # First observation: 2021/02/15 # Last observation: 2022/04/09 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.010208 0.000002 0.007905 0.016832 0.000000 # Chi-squared of fit: 5.30 DOF: 12 RMS: 0.14 # Min/Max residuals: -0.27 0.30 # Exact a, adot, b, bdot, g, gdot: 1.050026E-05 1.026477E-02 6.582688E-06 7.975357E-03 1.691149E-02 1.673256E-03 # Covariance matrix: 5.2162E-13 1.7544E-12 -1.0007E-14 1.8022E-12 3.6491E-12 2.0648E-10 1.7544E-12 1.5139E-10 -6.6945E-13 1.2150E-10 2.5162E-10 1.3942E-08 -1.0007E-14 -6.6945E-13 4.9214E-13 -1.0073E-12 -1.0955E-12 -6.3558E-11 1.8022E-12 1.2150E-10 -1.0073E-12 1.0043E-10 2.0025E-10 1.1427E-08 3.6491E-12 2.5162E-10 -1.0955E-12 2.0025E-10 4.2336E-10 2.3014E-08 2.0648E-10 1.3942E-08 -6.3558E-11 1.1427E-08 2.3014E-08 1.3087E-06 # lat0 lon0 xBary yBary zBary JD0 -6.796124 120.682202 -0.434409 -0.106257 -0.890820 2459260.838601 # Heliocentric elements and errors Epoch: 2459260.5000 = 2021/02/15 Mean Anomaly: 116.67470 +/- 19.068 Argument of Peri: 217.36530 +/- 17.758 Long of Asc Node: 129.56505 +/- 0.005 Inclination: 38.56188 +/- 0.018 Eccentricity: 0.16380404 +/- 0.0598 Semi-Major Axis: 54.92975502 +/- 0.9140 Time of Perihelion: 2411067.4828 +/- 7783.9 Perihelion: 45.93203899 +/- 3.3701 Aphelion: 63.92747105 +/- 3.4503 Period (y) 407.1174 +/- 10.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.78630079 +/- 0.0364 Ecliptic Y 51.04019894 +/- 0.0614 Ecliptic Z -6.99705710 +/- 0.0085 Ecliptic XDOT -0.00163786 +/- 0.0001 Ecliptic YDOT -0.00047905 +/- 0.0002 Ecliptic ZDOT 0.00124982 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 60.01547327 +/- 0.0555 Geocenter to KBO 59.13141199 +/- 0.0719 # Hcoef: 6.90
The following table shows the complete astrometric record for 21CP40. 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 (21CP40) followed by the observatory code and reference code for the source of the astrometry.
2021 02 15.33780 08 05 32.466 +13 21 46.25 24.3r 21CP40 568 C~5fvf 2021 02 16.162830 08 05 29.87 +13 22 00.4 21CP40 W84 C~5zHJ 2021 02 16.38628 08 05 29.142 +13 22 04.67 24.4r 21CP40 568 C~5fvf 2022 03 07.08061 08 07 22.204 +13 46 48.08 24.6G 21CP40 304 C~5fvf 2022 03 07.09096 08 07 22.180 +13 46 48.13 24.7G 21CP40 304 C~5fvf 2022 03 07.16924 08 07 21.977 +13 46 49.52 25.0G 21CP40 304 C~5fvf 2022 03 07.17968 08 07 21.964 +13 46 49.86 21CP40 304 C~5fvf 2022 04 08.02387 08 06 36.283 +13 54 39.66 24.6r 21CP40 304 C~5fvf 2022 04 09.01300 08 06 35.895 +13 54 51.49 24.5r 21CP40 304 C~5fvf
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 -0.19 0.00 0.18
2 0.0023 -40.00 0.30 5.94 -0.27
3 0.0029 -51.28 -0.12 7.90 0.09
4 1.0534 1249.94 0.04 1803.84 0.03
5 1.0534 1249.59 0.08 1803.81 -0.09
6 1.0536 1246.41 -0.12 1804.55 -0.05
7 1.0536 1246.15 0.02 1804.84 0.15
8 1.1408 496.96 0.03 2124.41 0.06
9 1.1435 488.95 -0.05 2134.80 -0.10
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.
21CP40 quality flag:1 Type: SCATEXTD SCATNEAR SCATEXTD axisobj 55.468 61.351 54.662 ecceobj 0.162 0.354 0.105 incobj 38.424 38.476 38.387 qmin 45.062 38.729 47.602 qmax 65.917 84.192 61.741 amean 55.252 60.923 54.500 amin 54.757 60.300 54.030 amax 55.798 61.772 55.017 emean 0.165 0.347 0.111 emin 0.149 0.329 0.100 emax 0.181 0.363 0.123 imean 36.895 37.080 36.896 imin 36.649 36.705 36.700 imax 37.173 37.598 37.094 excite_mean 0.623 0.696 0.611 fracstop 1.000 1.000 1.000 cjmean 2.682 2.623 2.692 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 180.6 183.5 194.1 kozaiamp 180.0 180.0 180.0