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: 20KS53 # Created Sun Nov 24 02:11:02 2024 # Orbit generated from Bernstein formalism # Fitting 27 observations of 27 # Arc: 75.98d # First observation: 2020/05/30 # Last observation: 2020/08/14 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.014835 0.000005 -0.001823 0.021286 0.000000 # Chi-squared of fit: 0.52 DOF: 48 RMS: 0.02 # Min/Max residuals: -0.04 0.06 # Exact a, adot, b, bdot, g, gdot: 1.442333E-05 2.021888E-02 -1.122257E-06 -1.812096E-03 2.220034E-02 2.405703E-04 # Covariance matrix: 2.8630E-13 4.4257E-11 -4.2784E-14 -4.8560E-14 9.1869E-12 3.4298E-10 4.4257E-11 1.1678E-07 -1.0809E-10 5.8620E-11 2.1559E-08 3.5987E-07 -4.2784E-14 -1.0809E-10 2.3549E-13 -8.8926E-13 -1.9963E-11 -3.3472E-10 -4.8560E-14 5.8620E-11 -8.8926E-13 8.6597E-12 1.0363E-11 7.1835E-11 9.1869E-12 2.1559E-08 -1.9963E-11 1.0363E-11 3.9860E-09 6.7760E-08 3.4298E-10 3.5987E-07 -3.3472E-10 7.1835E-11 6.7760E-08 1.4209E-06 # lat0 lon0 xBary yBary zBary JD0 2.578908 -72.847983 0.626242 0.035475 -0.790464 2458999.940151 # Heliocentric elements and errors Epoch: 2458990.5000 = 2020/05/21 Mean Anomaly: 185.43241 +/- 141.650 Argument of Peri: 328.18369 +/- 141.353 Long of Asc Node: 132.84815 +/- 0.415 Inclination: 5.66857 +/- 0.083 Eccentricity: 0.02209686 +/- 0.0304 Semi-Major Axis: 44.86029946 +/- 0.9967 Time of Perihelion: 2512207.7943 +/- 43145.8 Perihelion: 43.86902767 +/- 1.6754 Aphelion: 45.85157124 +/- 1.7014 Period (y) 300.4702 +/- 10.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 12.91110102 +/- 0.0377 Ecliptic Y -43.94504323 +/- 0.1223 Ecliptic Z 2.02680188 +/- 0.0058 Ecliptic XDOT 0.00240241 +/- 0.0001 Ecliptic YDOT 0.00070098 +/- 0.0001 Ecliptic ZDOT -0.00022215 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.84726034 +/- 0.1177 Geocenter to KBO 45.04436098 +/- 0.1281 # Hcoef: 8.31
The following table shows the complete astrometric record for 20KS53. 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 (20KS53) followed by the observatory code and reference code for the source of the astrometry.
2020 05 30.43935 19 12 58.823 -19 46 50.09 24.7r 20KS53 266 C~6c5Y 2020 05 30.53044 19 12 58.499 -19 46 50.56 24.7r 20KS53 266 C~6c5Y 2020 05 30.61862 19 12 58.185 -19 46 51.00 24.7r 20KS53 266 C~6c5Y 2020 06 01.43269 19 12 51.772 -19 47 00.28 25.0r 20KS53 266 C~6c5Y 2020 06 01.47325 19 12 51.623 -19 47 00.51 25.0r 20KS53 266 C~6c5Y 2020 06 01.60571 19 12 51.136 -19 47 01.21 25.0r 20KS53 266 C~6c5Y 2020 06 20.45583 19 11 34.920 -19 49 04.42 24.6r 20KS53 266 C~6c5Y 2020 06 20.52860 19 11 34.594 -19 49 04.97 24.6r 20KS53 266 C~6c5Y 2020 06 20.62233 19 11 34.174 -19 49 05.67 24.6r 20KS53 266 C~6c5Y 2020 06 22.44948 19 11 26.084 -19 49 19.75 25.0r 20KS53 266 C~6c5Y 2020 06 22.52092 19 11 25.759 -19 49 20.31 25.0r 20KS53 266 C~6c5Y 2020 06 22.59118 19 11 25.441 -19 49 20.84 25.0r 20KS53 266 C~6c5Y 2020 06 24.43648 19 11 17.177 -19 49 35.50 24.8r 20KS53 266 C~6c5Y 2020 06 24.51619 19 11 16.812 -19 49 36.14 24.8r 20KS53 266 C~6c5Y 2020 06 24.59604 19 11 16.446 -19 49 36.76 24.8r 20KS53 266 C~6c5Y 2020 06 25.44823 19 11 12.606 -19 49 43.64 24.7r 20KS53 266 C~6c5Y 2020 06 25.53213 19 11 12.219 -19 49 44.32 24.7r 20KS53 266 C~6c5Y 2020 06 25.61487 19 11 11.839 -19 49 44.97 24.7r 20KS53 266 C~6c5Y 2020 08 12.26680 19 07 41.885 -19 56 58.95 25.1r 20KS53 266 C~6c5Y 2020 08 12.34843 19 07 41.578 -19 56 59.69 25.1r 20KS53 266 C~6c5Y 2020 08 12.42950 19 07 41.273 -19 57 00.42 25.1r 20KS53 266 C~6c5Y 2020 08 13.24332 19 07 38.313 -19 57 07.77 24.9r 20KS53 266 C~6c5Y 2020 08 13.33331 19 07 37.979 -19 57 08.59 24.9r 20KS53 266 C~6c5Y 2020 08 13.42301 19 07 37.646 -19 57 09.39 24.9r 20KS53 266 C~6c5Y 2020 08 14.24286 19 07 34.699 -19 57 16.76 24.8r 20KS53 266 C~6c5Y 2020 08 14.33285 19 07 34.370 -19 57 17.58 24.8r 20KS53 266 C~6c5Y 2020 08 14.42134 19 07 34.047 -19 57 18.36 24.8r 20KS53 266 C~6c5Y
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 -0.00 0.00 -0.03 2 0.0002 -4.60 -0.00 0.10 -0.04 3 0.0005 -9.05 0.01 0.22 -0.04 4 0.0055 -100.02 -0.00 2.29 0.06 5 0.0056 -102.13 -0.01 2.32 0.05 6 0.0059 -109.04 -0.00 2.48 0.05 7 0.0575 -1191.68 0.02 13.11 -0.01 8 0.0577 -1196.32 0.03 13.12 -0.01 9 0.0580 -1202.28 0.02 13.16 -0.02 10 0.0630 -1317.31 0.01 13.17 0.03 11 0.0632 -1321.93 0.01 13.17 0.03 12 0.0634 -1326.45 0.01 13.20 0.04 13 0.0684 -1443.99 -0.01 12.91 -0.02 14 0.0687 -1449.18 -0.00 12.90 -0.02 15 0.0689 -1454.38 -0.01 12.91 -0.02 16 0.0712 -1509.00 -0.02 12.70 -0.02 17 0.0714 -1514.51 -0.03 12.69 -0.03 18 0.0717 -1519.91 -0.03 12.70 -0.03 19 0.2021 -4512.69 -0.03 -64.37 0.00 20 0.2024 -4517.08 -0.02 -64.60 0.00 21 0.2026 -4521.44 -0.02 -64.82 -0.00 22 0.2048 -4563.77 0.04 -67.25 -0.00 23 0.2050 -4568.54 0.05 -67.51 -0.00 24 0.2053 -4573.30 0.04 -67.76 -0.00 25 0.2075 -4615.45 -0.03 -70.23 0.01 26 0.2078 -4620.15 -0.02 -70.50 0.00 27 0.2080 -4624.77 -0.02 -70.74 0.01
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.
20KS53 quality flag:1 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.329 49.294 41.773 ecceobj 0.033 0.152 0.157 incobj 5.678 5.429 5.943 qmin 41.842 41.270 35.058 qmax 47.398 58.353 49.167 amean 44.553 49.612 41.991 amin 44.209 49.182 41.587 amax 44.916 50.093 42.390 emean 0.041 0.154 0.098 emin 0.022 0.144 0.053 emax 0.056 0.165 0.162 imean 4.481 4.173 3.891 imin 3.968 3.936 1.084 imax 5.027 4.471 6.041 excite_mean 0.088 0.170 0.124 fracstop 1.000 1.000 1.000 cjmean 3.099 3.137 3.059 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 171.5 189.6 178.6 kozaiamp 180.0 179.9 180.0