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: 23PK5 # Created Mon May 5 01:11:44 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 13 observations of 13 # Arc: 9.27y # First observation: 2014/06/28 # Last observation: 2023/10/07 # Chi-squared of fit: 8.31 DOF: 20 RMS: 0.14 # Min/Max residuals: -0.24 0.38 # Exact a, adot, b, bdot, g, gdot: 1.682298E-05 2.678660E-02 2.513277E-06 4.179125E-03 2.618342E-02 -2.578434E-03 # Covariance matrix: 5.7924E-13 -1.7418E-13 1.0402E-14 -1.9360E-14 5.0930E-15 -4.8298E-13 -1.7418E-13 3.1728E-13 -2.7145E-14 5.0240E-14 2.1312E-13 1.2364E-12 1.0402E-14 -2.7145E-14 5.1981E-13 -6.4372E-14 -1.7238E-14 -1.0924E-13 -1.9360E-14 5.0240E-14 -6.4372E-14 1.6958E-14 3.1441E-14 2.0231E-13 5.0930E-15 2.1312E-13 -1.7238E-14 3.1441E-14 5.0868E-13 7.4574E-13 -4.8298E-13 1.2364E-12 -1.0924E-13 2.0231E-13 7.4574E-13 4.9874E-12 # lat0 lon0 xBary yBary zBary JD0 0.798085 -74.895864 0.152475 0.014122 -1.006968 2456836.860834 # Heliocentric elements and errors Epoch: 2456836.5000 = 2014/06/28 Mean Anomaly: 311.03570 +/- 0.027 Argument of Peri: 65.39700 +/- 0.037 Long of Asc Node: 279.92145 +/- 0.000 Inclination: 8.92614 +/- 0.000 Eccentricity: 0.11992609 +/- 0.0001 Semi-Major Axis: 42.12656393 +/- 0.0045 Time of Perihelion: 2470419.9325 +/- 15.6 Perihelion: 37.07448968 +/- 0.0053 Aphelion: 47.17863817 +/- 0.0062 Period (y) 273.4275 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.06475757 +/- 0.0003 Ecliptic Y -37.87926493 +/- 0.0010 Ecliptic Z 0.53208658 +/- 0.0000 Ecliptic XDOT 0.00262720 +/- 0.0000 Ecliptic YDOT 0.00099215 +/- 0.0000 Ecliptic ZDOT 0.00043331 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.19726991 +/- 0.0010 Geocenter to KBO 38.19219377 +/- 0.0010 # Hcoef: 7.40
The following table shows the complete astrometric record for 23PK5. 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 (23PK5) followed by the observatory code and reference code for the source of the astrometry.
2014 06 28.360056 19 05 11.03 -21 47 26.9 23PK5 W84 C~8rAj 2014 06 28.362137 19 05 11.03 -21 47 26.9 23PK5 W84 C~8rAj 2015 09 02.144410 19 06 32.36 -21 28 53.5 23PK5 W84 C~8rAj 2021 07 18.120664 19 48 30.87 -18 33 45.0 23PK5 W84 C~8rAj 2021 07 18.157970 19 48 30.65 -18 33 45.6 23PK5 W84 C~8rAj 2022 09 03.105643 19 51 14.82 -18 11 15.5 23PK5 W84 C~8rAj 2023 05 19.333559 20 05 28.05 -17 21 26.2 23PK5 W84 C~8rAj 2023 08 13.32357 19 59 07.379 -17 34 37.06 23.2r 23PK5 T09 C~8nlW 2023 08 13.46178 19 59 06.684 -17 34 39.02 23.0r 23PK5 T09 C~8nlW 2023 09 14.03643 19 57 03.452 -17 40 51.28 23.3r 23PK5 269 C~8nlW 2023 09 15.03141 19 57 00.803 -17 41 00.18 23.4r 23PK5 269 C~8nlW 2023 10 06.04283 19 56 27.488 -17 43 18.10 23.2r 23PK5 269 C~8nlW 2023 10 07.03331 19 56 27.056 -17 43 21.96 23.2r 23PK5 269 C~8nlW
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 -0.14 0.00 -0.01 2 0.0000 0.00 0.03 0.00 -0.00 3 1.1794 0.00 0.17 0.00 -0.02 4 7.0548 0.00 0.11 0.00 0.14 5 7.0549 0.00 -0.14 0.00 -0.02 6 8.1827 0.00 -0.13 0.00 -0.04 7 8.8897 0.00 -0.13 0.00 0.07 8 9.1252 0.00 0.38 0.00 0.06 9 9.1255 0.00 0.23 0.00 -0.04 10 9.2120 0.00 -0.05 0.00 -0.08 11 9.2147 0.00 -0.14 0.00 0.14 12 9.2722 0.00 -0.24 0.00 -0.00 13 9.2749 0.00 0.03 0.00 -0.21
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.
23PK5 quality flag:3 Type: 5:3EE 5:3EE 5:3EE axisobj 42.153 42.153 42.153 ecceobj 0.124 0.124 0.124 incobj 8.921 8.921 8.921 qmin 36.242 36.243 36.241 qmax 48.755 48.753 48.756 amean 42.329 42.329 42.329 amin 41.973 41.974 41.971 amax 42.721 42.720 42.721 emean 0.114 0.114 0.114 emin 0.088 0.088 0.088 emax 0.143 0.143 0.143 imean 10.955 10.955 10.955 imin 10.038 10.038 10.038 imax 11.921 11.921 11.921 excite_mean 0.222 0.222 0.222 fracstop 1.000 1.000 1.000 cjmean 3.023 3.023 3.023 libcent 0 180.5 180.5 180.5 libamp 0 48.4 48.4 48.3 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 182.0 181.8 182.0 kozaiamp 180.0 180.0 180.0