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: 20KE53 # Created Sun Dec 22 02:11:12 2024 # Orbit generated from Bernstein formalism # Fitting 27 observations of 27 # Arc: 1.11y # First observation: 2020/05/26 # Last observation: 2021/07/05 Preliminary a, adot, b, bdot, g, gdot: -0.000008 0.026103 0.000001 -0.002161 0.026105 0.000000 # Chi-squared of fit: 2.52 DOF: 48 RMS: 0.05 # Min/Max residuals: -0.12 0.11 # Exact a, adot, b, bdot, g, gdot: 1.588686E-05 2.592040E-02 -8.600942E-07 -2.141679E-03 2.601855E-02 -2.748731E-03 # Covariance matrix: 1.5219E-13 4.3108E-13 3.1112E-15 -6.0488E-14 3.4471E-13 2.6291E-11 4.3108E-13 1.4351E-11 9.5983E-14 -1.6698E-12 6.3168E-12 7.3100E-10 3.1112E-15 9.5983E-14 8.3529E-14 -1.0472E-13 4.2121E-14 5.0031E-12 -6.0488E-14 -1.6698E-12 -1.0472E-13 4.9952E-13 -7.4670E-13 -8.6911E-11 3.4471E-13 6.3168E-12 4.2121E-14 -7.4670E-13 3.0786E-12 3.2648E-10 2.6291E-11 7.3100E-10 5.0031E-12 -8.6911E-11 3.2648E-10 3.8052E-08 # lat0 lon0 xBary yBary zBary JD0 1.899838 -73.409327 0.670492 0.024866 -0.753482 2458995.943811 # Heliocentric elements and errors Epoch: 2458990.5000 = 2020/05/21 Mean Anomaly: 281.56388 +/- 0.680 Argument of Peri: 250.76508 +/- 0.037 Long of Asc Node: 127.21326 +/- 0.006 Inclination: 5.04903 +/- 0.001 Eccentricity: 0.12232998 +/- 0.0074 Semi-Major Axis: 39.58978297 +/- 0.0619 Time of Perihelion: 2478814.2902 +/- 165.4 Perihelion: 34.74676543 +/- 0.2997 Aphelion: 44.43280051 +/- 0.3028 Period (y) 249.1053 +/- 0.58 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.54642429 +/- 0.0007 Ecliptic Y -37.73465213 +/- 0.0025 Ecliptic Z 1.27421957 +/- 0.0001 Ecliptic XDOT 0.00254169 +/- 0.0000 Ecliptic YDOT 0.00105219 +/- 0.0000 Ecliptic ZDOT -0.00023506 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.20146263 +/- 0.0024 Geocenter to KBO 38.43412429 +/- 0.0026 # Hcoef: 10.61
The following table shows the complete astrometric record for 20KE53. 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 (20KE53) followed by the observatory code and reference code for the source of the astrometry.
2020 05 26.44301 19 10 57.861 -20 31 24.50 26.3r 20KE53 266 C~6VL9 2020 05 26.50149 19 10 57.636 -20 31 24.85 26.3r 20KE53 266 C~6VLA 2020 05 26.55599 19 10 57.425 -20 31 25.16 26.3r 20KE53 266 C~6VLA 2020 05 29.44698 19 10 46.209 -20 31 42.12 26.6r 20KE53 266 C~6VLA 2020 05 29.53371 19 10 45.856 -20 31 42.67 26.6r 20KE53 266 C~6VLA 2020 05 29.61905 19 10 45.507 -20 31 43.18 26.6r 20KE53 266 C~6VLA 2020 05 31.44139 19 10 38.127 -20 31 54.70 26.6r 20KE53 266 C~6VLA 2020 05 31.52961 19 10 37.755 -20 31 55.28 26.6r 20KE53 266 C~6VLA 2020 05 31.61814 19 10 37.381 -20 31 55.84 26.6r 20KE53 266 C~6VLA 2020 06 21.45390 19 08 59.329 -20 34 38.71 26.6r 20KE53 266 C~6VLA 2020 06 21.53376 19 08 58.909 -20 34 39.42 26.6r 20KE53 266 C~6VLA 2020 06 21.61261 19 08 58.495 -20 34 40.11 26.6r 20KE53 266 C~6VLA 2020 06 24.43648 19 08 43.793 -20 35 05.95 26.6r 20KE53 266 C~6VLA 2020 06 24.52739 19 08 43.307 -20 35 06.79 26.6r 20KE53 266 C~6VLA 2020 06 24.61708 19 08 42.830 -20 35 07.59 26.6r 20KE53 266 C~6VLA 2020 08 12.26680 19 04 34.546 -20 43 14.57 26.5r 20KE53 266 C~6VLA 2020 08 12.34843 19 04 34.194 -20 43 15.36 26.5r 20KE53 266 C~6VLA 2020 08 12.42950 19 04 33.844 -20 43 16.12 26.5r 20KE53 266 C~6VLA 2020 08 14.24286 19 04 26.327 -20 43 33.32 26.6r 20KE53 266 C~6VLA 2020 08 14.33285 19 04 25.951 -20 43 34.17 26.6r 20KE53 266 C~6VLA 2020 08 14.42134 19 04 25.581 -20 43 34.99 26.6r 20KE53 266 C~6VLA 2021 06 17.43604 19 15 46.685 -20 30 14.77 26.4r 20KE53 266 C~7ulo 2021 06 17.50052 19 15 46.359 -20 30 15.37 26.4r 20KE53 266 C~7ulo 2021 06 17.57952 19 15 45.960 -20 30 16.10 26.4r 20KE53 266 C~7ulo 2021 07 05.35105 19 14 13.058 -20 33 15.42 26.0r 20KE53 266 C~7ulo 2021 07 05.43950 19 14 12.571 -20 33 16.39 26.0r 20KE53 266 C~7ulo 2021 07 05.52516 19 14 12.100 -20 33 17.30 26.0r 20KE53 266 C~7ulo
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 -0.03 0.00 -0.09 2 0.0002 -3.18 -0.02 0.04 -0.10 3 0.0003 -6.16 -0.02 0.09 -0.09 4 0.0082 -164.61 -0.00 2.34 0.01 5 0.0085 -169.60 0.00 2.39 0.00 6 0.0087 -174.53 0.00 2.48 0.01 7 0.0137 -278.83 0.02 3.57 -0.04 8 0.0139 -284.09 0.01 3.63 -0.04 9 0.0142 -289.37 0.01 3.71 -0.04 10 0.0712 -1676.15 0.08 6.59 0.04 11 0.0714 -1682.09 0.08 6.59 0.05 12 0.0716 -1687.94 0.07 6.59 0.05 13 0.0794 -1896.02 -0.06 5.30 0.02 14 0.0796 -1902.90 -0.07 5.27 0.02 15 0.0799 -1909.64 -0.06 5.27 0.02 16 0.2131 -5428.61 0.01 -78.82 0.06 17 0.2133 -5433.60 0.01 -79.06 0.06 18 0.2135 -5438.57 -0.00 -79.27 0.06 19 0.2185 -5545.37 -0.01 -84.61 0.02 20 0.2187 -5550.71 -0.01 -84.87 0.03 21 0.2190 -5555.96 -0.01 -85.11 0.02 22 1.0595 4035.07 -0.01 -437.79 0.10 23 1.0597 4030.45 -0.01 -437.79 0.11 24 1.0599 4024.79 -0.01 -437.80 0.10 25 1.1086 2707.19 0.02 -449.39 -0.11 26 1.1088 2700.29 0.01 -449.49 -0.12 27 1.1091 2693.61 0.01 -449.55 -0.12
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.
20KE53 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.138 39.220 39.082 ecceobj 0.126 0.144 0.108 incobj 5.058 5.060 5.056 qmin 33.816 33.344 34.418 qmax 45.499 45.963 45.088 amean 39.459 39.458 39.460 amin 39.028 39.103 38.982 amax 39.928 39.850 39.977 emean 0.123 0.138 0.107 emin 0.104 0.121 0.084 emax 0.141 0.154 0.129 imean 3.887 3.745 4.547 imin 3.099 3.198 2.689 imax 4.731 4.355 6.265 excite_mean 0.140 0.152 0.134 fracstop 1.000 1.000 1.000 cjmean 3.030 3.026 3.031 libcent 0 179.6 181.4 180.1 libamp 0 87.8 45.2 116.2 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 177.7 177.4 181.6 kozaiamp 179.9 179.8 180.0