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: 23PX4 # Created Mon Apr 28 01:11:33 2025 # Orbit generated from Bernstein formalism # Fitting 17 observations of 17 # Arc: 1.14y # First observation: 2023/08/13 # Last observation: 2024/10/04 Preliminary a, adot, b, bdot, g, gdot: -0.000002 0.009527 -0.000001 0.000407 0.014745 0.000000 # Chi-squared of fit: 11.94 DOF: 28 RMS: 0.15 # Min/Max residuals: -0.48 0.30 # Exact a, adot, b, bdot, g, gdot: 1.029526E-05 9.519739E-03 4.215935E-08 4.030589E-04 1.472207E-02 -5.890878E-03 # Covariance matrix: 7.1768E-13 -1.3788E-13 -2.8733E-14 3.2100E-13 1.9021E-12 5.6618E-10 -1.3788E-13 9.8253E-13 6.2635E-14 -8.2565E-13 -2.1952E-12 -1.4519E-09 -2.8733E-14 6.2635E-14 2.5465E-13 -3.3799E-13 -3.8299E-13 -1.9770E-10 3.2100E-13 -8.2565E-13 -3.3799E-13 1.7447E-12 4.7736E-12 2.5110E-09 1.9021E-12 -2.1952E-12 -3.8299E-13 4.7736E-12 1.7685E-11 8.4023E-09 5.6618E-10 -1.4519E-09 -1.9770E-10 2.5110E-09 8.4023E-09 4.4183E-06 # lat0 lon0 xBary yBary zBary JD0 3.991931 -9.288647 0.517535 0.059955 -0.862803 2460170.029631 # Heliocentric elements and errors Epoch: 2460170.5000 = 2023/08/14 Mean Anomaly: 302.38617 +/- 20.855 Argument of Peri: 178.89806 +/- 8.473 Long of Asc Node: 292.02023 +/- 0.157 Inclination: 4.63142 +/- 0.008 Eccentricity: 0.53244226 +/- 0.1392 Semi-Major Axis: 70.03136408 +/- 14.3400 Time of Perihelion: 2494428.4667 +/- 6562.4 Perihelion: 32.74370627 +/- 11.8307 Aphelion: 107.31902189 +/- 24.0400 Period (y) 586.0667 +/- 180.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 67.65062235 +/- 0.0191 Ecliptic Y -11.58492431 +/- 0.0032 Ecliptic Z 4.72872558 +/- 0.0014 Ecliptic XDOT -0.00080133 +/- 0.0004 Ecliptic YDOT 0.00193256 +/- 0.0001 Ecliptic ZDOT -0.00000148 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 68.79809606 +/- 0.0188 Geocenter to KBO 67.92523230 +/- 0.0194 # Hcoef: 6.46
The following table shows the complete astrometric record for 23PX4. 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 (23PX4) followed by the observatory code and reference code for the source of the astrometry.
2023 08 13.52883 23 19 35.234 -00 00 36.58 24.6r 23PX4 T09 C~8nlV 2023 08 13.60583 23 19 35.047 -00 00 37.70 24.7r 23PX4 T09 C~8nlV 2023 09 14.15783 23 18 08.615 -00 09 12.33 24.9r 23PX4 269 C~8nlV 2023 09 15.13442 23 18 05.814 -00 09 30.15 24.8r 23PX4 269 C~8nlV 2023 10 06.23922 23 17 07.544 -00 15 55.51 24.6r 23PX4 269 C~8nlV 2023 10 07.11498 23 17 05.345 -00 16 11.19 24.6r 23PX4 269 C~8nlV 2023 10 07.18395 23 17 05.165 -00 16 12.21 24.6r 23PX4 269 C~8nlV 2024 10 03.05716 23 19 12.623 -00 01 00.15 24.8r 23PX4 269 C~8nlV 2024 10 03.09721 23 19 12.493 -00 01 00.82 24.9r 23PX4 269 C~8nlV 2024 10 03.20388 23 19 12.234 -00 01 02.80 23PX4 G37 C~8nlV 2024 10 03.21128 23 19 12.196 -00 01 03.23 23PX4 G37 C~8nlV 2024 10 03.24145 23 19 12.115 -00 01 03.57 23PX4 G37 C~8nlV 2024 10 03.24880 23 19 12.103 -00 01 03.62 23PX4 G37 C~8nlV 2024 10 03.28336 23 19 12.000 -00 01 04.39 23PX4 G37 C~8nlV 2024 10 03.29069 23 19 11.979 -00 01 04.59 23PX4 G37 C~8nlV 2024 10 04.16721 23 19 09.654 -00 01 20.44 23PX4 G37 C~8nlW 2024 10 04.17489 23 19 09.643 -00 01 20.50 23PX4 G37 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 -0.01 0.00 0.08 2 0.0002 -3.02 0.04 0.07 -0.03 3 0.0866 -1397.47 0.01 35.70 0.14 4 0.0893 -1443.11 -0.07 35.80 0.12 5 0.1471 -2398.35 -0.48 24.47 0.09 6 0.1494 -2434.85 0.21 23.00 -0.31 7 0.1496 -2437.73 0.30 23.12 -0.12 8 1.1404 -321.19 0.15 111.47 -0.10 9 1.1405 -323.25 -0.13 111.61 0.08 10 1.1408 -327.60 0.26 111.32 0.02 11 1.1408 -328.29 -0.11 111.15 -0.14 12 1.1409 -329.54 -0.01 111.31 0.04 13 1.1409 -329.73 0.13 111.34 0.08 14 1.1410 -331.45 -0.06 111.23 0.00 15 1.1410 -331.82 -0.10 111.17 -0.05 16 1.1434 -370.12 -0.14 110.29 0.04 17 1.1435 -370.29 0.02 110.30 0.06
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.
23PX4 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0