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: 23PA5 # Created Sat Aug 30 01:12:14 2025 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 1.96y # First observation: 2023/08/13 # Last observation: 2025/07/29 Preliminary a, adot, b, bdot, g, gdot: 0.000206 0.034225 0.000038 -0.001946 0.031202 0.000000 # Chi-squared of fit: 3.03 DOF: 18 RMS: 0.09 # Min/Max residuals: -0.25 0.16 # Exact a, adot, b, bdot, g, gdot: 1.752912E-05 3.415788E-02 -6.324648E-07 -1.926414E-03 3.083397E-02 -2.190796E-03 # Covariance matrix: 6.9215E-13 3.8177E-13 4.8292E-14 -6.4001E-14 1.2994E-12 1.1973E-11 3.8177E-13 3.0479E-12 9.9231E-14 -2.1947E-13 2.6071E-12 4.8187E-11 4.8292E-14 9.9231E-14 2.6445E-13 -1.6072E-13 1.6279E-13 1.9337E-12 -6.4001E-14 -2.1947E-13 -1.6072E-13 1.8743E-13 -2.5573E-13 -3.8866E-12 1.2994E-12 2.6071E-12 1.6279E-13 -2.5573E-13 4.3516E-12 5.1082E-11 1.1973E-11 4.8187E-11 1.9337E-12 -3.8866E-12 5.1082E-11 8.3441E-10 # lat0 lon0 xBary yBary zBary JD0 6.352591 -53.585372 -0.230587 0.108301 -0.975228 2460169.849191 # Heliocentric elements and errors Epoch: 2460160.5000 = 2023/08/04 Mean Anomaly: 312.37554 +/- 0.264 Argument of Peri: 172.24324 +/- 0.344 Long of Asc Node: 188.86730 +/- 0.005 Inclination: 6.97284 +/- 0.000 Eccentricity: 0.07628727 +/- 0.0008 Semi-Major Axis: 35.09746718 +/- 0.0110 Time of Perihelion: 2470207.5757 +/- 55.5 Perihelion: 32.41997738 +/- 0.0292 Aphelion: 37.77495698 +/- 0.0298 Period (y) 207.9323 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 19.91113279 +/- 0.0013 Ecliptic Y -26.58954456 +/- 0.0018 Ecliptic Z 3.58849966 +/- 0.0002 Ecliptic XDOT 0.00233385 +/- 0.0000 Ecliptic YDOT 0.00194897 +/- 0.0000 Ecliptic ZDOT -0.00019152 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.41159108 +/- 0.0016 Geocenter to KBO 32.43176557 +/- 0.0022 # Hcoef: 7.61
The following table shows the complete astrometric record for 23PA5. 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 (23PA5) followed by the observatory code and reference code for the source of the astrometry.
2023 08 13.34839 20 28 43.345 -12 30 39.44 23.1r 23PA5 T09 C~8nlW 2023 08 13.48871 20 28 42.550 -12 30 42.95 23.1r 23PA5 T09 C~8nlW 2023 09 14.01378 20 26 13.387 -12 43 28.01 23.0r 23PA5 269 C~8nlW 2023 09 15.01638 20 26 09.852 -12 43 50.43 23.1r 23PA5 269 C~8nlW 2023 10 06.05196 20 25 19.103 -12 50 47.12 22.9r 23PA5 269 C~8nlW 2023 10 07.04047 20 25 17.897 -12 51 03.48 22.9r 23PA5 269 C~8nlW 2024 10 03.22326 20 33 08.414 -12 28 29.07 23PA5 G37 C~8nlW 2024 10 04.18672 20 33 06.821 -12 28 46.56 23PA5 G37 C~8nlW 2025 07 29.392560 20 45 54.392 -11 38 42.06 22.7w 23PA5 F52 C~91b8 2025 07 29.404159 20 45 54.304 -11 38 42.51 22.7w 23PA5 F52 C~91b8 2025 07 29.415792 20 45 54.261 -11 38 42.62 22.7w 23PA5 F52 C~91b8 2025 07 29.427447 20 45 54.183 -11 38 43.00 22.6w 23PA5 F52 C~91b8
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 -0.07 2 0.0004 -12.15 0.04 -0.59 -0.16 3 0.0867 -2315.61 -0.06 -217.59 -0.00 4 0.0894 -2371.20 0.02 -226.96 0.16 5 0.1470 -3191.81 0.06 -454.10 0.02 6 0.1497 -3212.84 -0.06 -465.77 0.02 7 1.1413 3796.91 -0.04 -820.45 0.11 8 1.1440 3769.98 0.04 -831.66 0.01 9 1.9604 15451.36 0.07 -757.04 0.03 10 1.9605 15449.99 -0.25 -757.15 -0.06 11 1.9605 15449.35 0.16 -757.09 0.01 12 1.9605 15448.14 0.01 -757.16 -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.
23PA5 quality flag:3 Type: 5:4E 5:4E 5:4E axisobj 34.873 34.891 34.854 ecceobj 0.075 0.075 0.075 incobj 6.988 6.988 6.988 qmin 31.931 31.966 31.935 qmax 38.290 38.262 38.278 amean 34.947 34.947 34.947 amin 34.625 34.602 34.644 amax 35.285 35.307 35.266 emean 0.063 0.063 0.064 emin 0.040 0.042 0.043 emax 0.086 0.085 0.086 imean 5.997 5.987 5.933 imin 4.692 4.751 4.663 imax 7.122 7.070 7.169 excite_mean 0.123 0.122 0.122 fracstop 1.000 1.000 1.000 cjmean 3.000 3.000 3.000 libcent 0 180.0 178.9 180.8 libamp 0 77.6 86.3 68.8 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 179.6 179.9 179.5 kozaiamp 180.0 180.0 180.0