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: 21PU23 # Created Fri Mar 29 01:19:43 2024 # Orbit generated from Bernstein formalism # Fitting 64 observations of 65 # Arc: 4.12y # First observation: 2019/06/03 # Last observation: 2023/07/16 Preliminary a, adot, b, bdot, g, gdot: -0.000178 0.081426 0.000220 0.054781 0.065111 0.000000 # Chi-squared of fit: 24.84 DOF: 122 RMS: 0.11 # Min/Max residuals: -0.32 0.28 # Exact a, adot, b, bdot, g, gdot: 1.923763E-05 8.022613E-02 1.280502E-05 5.453468E-02 6.408998E-02 1.810497E-02 # Covariance matrix: 1.5533E-13 -5.2334E-14 3.0678E-15 -1.7757E-14 6.8141E-14 -7.6003E-14 -5.2334E-14 7.9961E-14 -3.2228E-14 4.8708E-14 3.6411E-14 2.4586E-13 3.0678E-15 -3.2228E-14 1.0521E-13 -6.3868E-14 -2.6343E-14 -1.3476E-13 -1.7757E-14 4.8708E-14 -6.3868E-14 6.2715E-14 2.4059E-14 2.0633E-13 6.8141E-14 3.6411E-14 -2.6343E-14 2.4059E-14 1.1575E-13 1.3781E-13 -7.6003E-14 2.4586E-13 -1.3476E-13 2.0633E-13 1.3781E-13 1.0387E-12 # lat0 lon0 xBary yBary zBary JD0 14.268822 -44.902770 0.897337 0.112984 -0.444471 2458638.028666 # Heliocentric elements and errors Epoch: 2458630.5000 = 2019/05/27 Mean Anomaly: 95.56997 +/- 0.008 Argument of Peri: 272.35314 +/- 0.006 Long of Asc Node: 292.73934 +/- 0.000 Inclination: 37.04262 +/- 0.000 Eccentricity: 0.13857877 +/- 0.0000 Semi-Major Axis: 15.57896240 +/- 0.0003 Time of Perihelion: 2452668.0441 +/- 0.5 Perihelion: 13.42004896 +/- 0.0003 Aphelion: 17.73787585 +/- 0.0004 Period (y) 61.4916 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.40438103 +/- 0.0001 Ecliptic Y -11.64118718 +/- 0.0001 Ecliptic Z 3.84598212 +/- 0.0000 Ecliptic XDOT 0.00255186 +/- 0.0000 Ecliptic YDOT 0.00230336 +/- 0.0000 Ecliptic ZDOT 0.00244820 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 16.07979981 +/- 0.0001 Geocenter to KBO 15.60306188 +/- 0.0001 # Hcoef: 9.94
The following table shows the complete astrometric record for 21PU23. 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 (21PU23) followed by the observatory code and reference code for the source of the astrometry.
2019 06 03.527865 20 53 37.785 -02 38 10.99 22.1G 21PU23 F51 C~4ypQ 2019 06 03.540637 20 53 37.701 -02 38 10.13 22.3G 21PU23 F51 C~4ypQ 2019 06 03.553432 20 53 37.640 -02 38 09.39 22.4G 21PU23 F51 C~4ypQ 2019 06 03.566245 20 53 37.592 -02 38 08.85 22.0G 21PU23 F51 C~4ypQ 2019 08 04.395872 20 43 21.045 -02 17 15.59 22.1G 21PU23 F51 C~4ypQ 2019 08 04.407050 20 43 20.911 -02 17 15.68 21.9G 21PU23 F51 C~4ypQ 2019 08 04.418189 20 43 20.772 -02 17 15.84 21.7G 21PU23 F51 C~4ypQ 2019 08 04.429350 20 43 20.625 -02 17 16.09 21.6G 21PU23 F51 C~4ypQ 2019 09 24.232878 20 34 48.427 -02 46 17.20 22.2G 21PU23 F51 C~4ypQ 2019 09 24.244184 20 34 48.352 -02 46 17.64 22.5G 21PU23 F51 C~4ypQ 2019 09 24.255530 20 34 48.285 -02 46 18.16 22.1G 21PU23 F51 C~4ypQ 2019 09 24.266852 20 34 48.191 -02 46 18.60 21.7G 21PU23 F51 C~4ypQ 2020 06 27.458183 21 04 48.970 +01 58 32.27 22.4G 21PU23 F51 C~4ypQ 2020 06 27.470353 21 04 48.861 +01 58 32.56 22.0G 21PU23 F51 C~4ypQ 2020 06 27.482481 21 04 48.734 +01 58 33.37 21.8G 21PU23 F51 C~4ypQ 2020 06 27.494563 21 04 48.630 +01 58 33.71 21.8G 21PU23 F51 C~4ypQ 2020 08 13.315826 20 55 58.780 +02 00 35.96 22.0G 21PU23 F51 C~4ypQ 2020 08 13.330102 20 55 58.609 +02 00 35.48 21.9G 21PU23 F51 C~4ypQ 2020 08 13.344429 20 55 58.435 +02 00 35.14 22.0G 21PU23 F51 C~4ypQ 2020 08 13.358765 20 55 58.267 +02 00 34.67 22.0G 21PU23 F51 C~4ypQ 2020 08 19.319884 20 54 47.413 +01 57 22.77 21.6G 21PU23 F51 C~4ypQ 2020 08 19.332071 20 54 47.274 +01 57 22.18 22.2G 21PU23 F51 C~4ypQ 2020 08 19.344280 20 54 47.127 +01 57 21.86 22.3G 21PU23 F51 C~4ypQ 2020 08 19.356549 20 54 46.979 +01 57 21.55 22.2G 21PU23 F51 C~4ypQ 2020 09 07.388302 20 51 22.419 +01 43 46.48 21.6G 21PU23 F51 C~4ypQ 2020 09 07.395515 20 51 22.357 +01 43 45.71 22.3G 21PU23 F51 C~4ypQ 2020 09 07.403642 20 51 22.290 +01 43 45.09 22.3G 21PU23 F51 C~4ypQ 2021 06 13.516744 21 20 26.214 +05 54 38.94 22.4w 21PU23 F51 C~4ypQ 2021 06 13.540094 21 20 26.068 +05 54 40.56 22.6w 21PU23 F51 C~4ypQ 2021 06 13.551788 21 20 25.988 +05 54 41.66 22.7w 21PU23 F51 C~4ypQ 2021 07 07.421800 21 17 18.962 +06 15 11.32 22.5w 21PU23 F51 C~4ypQ 2021 07 07.433479 21 17 18.856 +06 15 11.59 22.4w 21PU23 F51 C~4ypQ 2021 07 07.445172 21 17 18.716 +06 15 12.00 22.4w 21PU23 F51 C~4ypQ 2021 08 07.322838 21 11 30.626 +06 17 53.87 22.8w 21PU23 F51 C~4ypQ 2021 08 07.335818 21 11 30.471 +06 17 53.65 22.4w 21PU23 F51 C~4ypQ 2021 08 07.361545 21 11 30.156 +06 17 53.15 22.1w 21PU23 F51 C~4ypQ 2021 08 09.324064 21 11 06.443 +06 17 11.29 21.8G 21PU23 F51 C~4ypQ 2021 08 09.333206 21 11 06.330 +06 17 11.09 21.8G 21PU23 F51 C~4ypQ 2021 08 09.342333 21 11 06.218 +06 17 10.89 21.9G 21PU23 F51 C~4ypQ 2021 08 09.351550 21 11 06.106 +06 17 10.69 21.7G 21PU23 F51 C~4ypQ 2021 08 10.336235 21 10 54.221 +06 16 47.51 22.0G 21PU23 F51 C~4ypQ 2021 08 10.351660 21 10 54.029 +06 16 47.01 22.0G 21PU23 F51 C~4ypQ 2021 08 10.367154 21 10 53.837 +06 16 46.73 22.3G 21PU23 F51 C~4ypQ 2021 08 10.382677 21 10 53.645 +06 16 46.34 21.9G 21PU23 F51 C~4ypQ 2021 08 13.538380 21 10 15.600 +06 15 22.80 22.1G 21PU23 F51 C~4ypQ 2021 08 13.539205 21 10 15.590 +06 15 22.67 22.2G 21PU23 F51 C~4ypQ 2021 08 13.549137 21 10 15.461 +06 15 22.45 22.1G 21PU23 F51 C~4ypQ 2021 08 13.549966 21 10 15.438 +06 15 22.31 22.1G 21PU23 F51 C~4ypQ 2021 08 14.489642 21 10 04.187 +06 14 54.82 22.1G 21PU23 F51 C~4ypQ 2021 08 14.505920 21 10 03.986 +06 14 54.37 21.9G 21PU23 F51 C~4ypQ 2021 08 14.522152 21 10 03.777 +06 14 53.86 22.0G 21PU23 F51 C~4ypQ 2021 08 14.538280 21 10 03.598 +06 14 53.32 21.9G 21PU23 F51 C~4ypQ 2021 08 17.369721 21 09 29.831 +06 13 22.87 21PU23 568 C~4ypQ 2021 09 10.301484 21 05 08.172 +05 54 44.57 21.9w 21PU23 F51 C~52hb 2021 09 10.313834 21 05 08.044 +05 54 43.90 21.9w 21PU23 F51 C~52hb 2021 09 10.326069 21 05 07.934 +05 54 43.15 21.8w 21PU23 F51 C~52hb 2021 09 13.292847 21 04 40.227 +05 51 51.40 21.9w 21PU23 F52 C~52hb 2021 09 13.303738 21 04 40.122 +05 51 50.64 21.8w 21PU23 F52 C~52hb 2021 09 13.314707 21 04 40.019 +05 51 50.00 21.9w 21PU23 F52 C~52hb 2022 09 26.254885 21 16 51.064 +09 44 11.00 21.9w 21PU23 F51 C~5rCd 2022 09 26.266697 21 16 50.958 +09 44 09.64 22.1w 21PU23 F51 C~5rCd 2022 09 26.278756 21 16 50.862 +09 44 09.21 22.0w 21PU23 F51 C~5rCd 2023 07 16.436750 21 43 49.373 +14 20 06.71 21.9w 21PU23 F52 C~6wsl 2023 07 16.447632 21 43 49.278 +14 20 07.17 22.0w 21PU23 F52 C~6wsl 2023 07 16.469361 21 43 49.061 +14 20 07.68 22.0w 21PU23 F52 C~6wsl
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 0.11 0.00 0.13 2 0.0000 -0.97 -0.10 1.18 0.28 3 0.0001 -1.63 -0.02 2.15 0.21 4 0.0001 -2.17 0.20 2.87 -0.10 5 0.1694 -8522.79 -0.18 3805.45 -0.10 6 0.1694 -8524.75 -0.04 3805.93 -0.03 7 0.1694 -8526.79 0.00 3806.36 0.01 8 0.1695 -8528.98 -0.10 3806.74 -0.02 9 0.3086 -16416.75 0.18 4284.32 -0.06 10 0.3086 -16417.96 0.11 4284.21 -0.03 11 0.3086 -16419.08 0.15 4283.99 -0.11 12 0.3087 -16420.56 -0.19 4283.96 0.00 13 1.0676 14387.80 0.06 13122.48 -0.05 14 1.0676 14386.31 0.05 13123.22 -0.22 15 1.0676 14384.70 -0.07 13124.54 0.18 16 1.0677 14383.29 -0.00 13125.31 0.04 17 1.1959 6762.82 -0.11 15485.36 0.05 18 1.1959 6760.22 -0.08 15485.62 -0.03 19 1.1959 6757.61 -0.04 15486.03 0.04 20 1.1960 6755.05 0.05 15486.29 -0.05 21 1.2123 5677.99 -0.07 15601.30 0.01 22 1.2123 5675.82 -0.03 15601.32 -0.17 23 1.2124 5673.61 -0.02 15601.63 -0.06 24 1.2124 5671.38 -0.01 15601.96 0.06 25 1.2645 2488.84 ( -0.24) 15683.01 ( 0.47) 26 1.2645 2487.73 -0.23 15682.53 0.04 27 1.2645 2486.59 -0.12 15682.22 -0.23 28 2.0287 32175.40 0.11 23008.03 -0.17 29 2.0288 32173.73 -0.05 23010.23 -0.17 30 2.0288 32172.88 -0.14 23011.65 0.15 31 2.0942 29785.69 -0.00 24998.30 0.15 32 2.0942 29784.22 0.12 24999.00 0.01 33 2.0942 29782.28 -0.21 24999.99 0.15 34 2.1788 24732.49 0.03 26602.81 -0.02 35 2.1788 24730.16 0.10 26603.24 -0.01 36 2.1789 24725.41 0.11 26604.05 -0.00 37 2.1842 24366.84 0.01 26661.42 -0.04 38 2.1843 24365.13 -0.01 26661.69 -0.03 39 2.1843 24363.44 -0.01 26661.96 -0.02 40 2.1843 24361.74 0.01 26662.23 -0.02 41 2.1870 24181.43 0.08 26688.83 -0.07 42 2.1871 24178.48 0.00 26689.14 -0.19 43 2.1871 24175.59 0.00 26689.66 -0.09 44 2.1871 24172.67 -0.02 26690.08 -0.10 45 2.1958 23592.94 0.18 26766.14 0.04 46 2.1958 23592.75 0.15 26766.05 -0.07 47 2.1958 23590.81 0.05 26766.37 0.03 48 2.1958 23590.43 -0.17 26766.33 -0.03 49 2.1984 23418.23 0.10 26786.11 0.01 50 2.1984 23415.17 0.07 26786.50 0.06 51 2.1985 23411.97 -0.10 26786.87 0.09 52 2.1985 23409.20 0.13 26787.08 -0.03 53 2.2063 22890.22 0.09 26838.70 0.02 54 2.2718 18754.83 0.07 26832.92 0.10 55 2.2718 18752.77 -0.02 26832.80 0.16 56 2.2719 18750.96 0.10 26832.52 0.07 57 2.2800 18298.35 0.05 26780.09 0.14 58 2.2800 18296.60 -0.03 26779.78 0.04 59 2.2800 18294.92 -0.04 26779.59 0.04 60 3.3148 33116.44 0.18 37620.28 0.14 61 3.3148 33114.46 -0.20 37619.33 -0.32 62 3.3149 33112.92 -0.12 37619.29 0.12 63 4.1175 62759.13 -0.18 48543.48 0.09 64 4.1175 62757.80 0.07 48544.31 0.12 65 4.1176 62754.59 0.01 48545.65 -0.15
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.
21PU23 quality flag:3 Type: CENTAURS CENTAURS CENTAURS axisobj 15.467 15.470 15.464 ecceobj 0.136 0.136 0.135 incobj 37.105 37.105 37.105 qmin 13.287 13.037 13.326 qmax 17.800 17.963 17.832 amean 15.539 15.554 15.548 amin 15.426 15.363 15.416 amax 15.653 15.693 15.659 emean 0.079 0.097 0.089 emin 0.026 0.038 0.034 emax 0.141 0.155 0.140 imean 38.611 38.624 38.519 imin 37.855 37.906 37.668 imax 39.317 39.297 39.322 excite_mean 0.629 0.632 0.629 fracstop 1.000 1.000 1.000 cjmean 3.056 3.053 3.056 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 180.1 179.6 179.8 kozaiamp 179.9 180.0 180.0