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: 23PY4
# Created Sun Apr 27 01:11:33 2025
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 1.14y
# First observation: 2023/08/13
# Last observation: 2024/10/04
Preliminary a, adot, b, bdot, g, gdot:
-0.000016 0.075202 0.000022 -0.010658 0.044626 0.000000
# Chi-squared of fit: 5.43 DOF: 10 RMS: 0.15
# Min/Max residuals: -0.31 0.27
# Exact a, adot, b, bdot, g, gdot:
2.587950E-05 7.368275E-02 -3.352241E-06 -1.033020E-02 4.429045E-02 -2.527808E-02
# Covariance matrix:
6.8968E-13 5.8846E-12 8.3187E-14 -1.2785E-12 2.3088E-12 9.9760E-11
5.8846E-12 1.0779E-09 1.5728E-11 -2.3788E-10 2.6515E-10 1.8532E-08
8.3187E-14 1.5728E-11 5.1307E-13 -3.7654E-12 3.8569E-12 2.7073E-10
-1.2785E-12 -2.3788E-10 -3.7654E-12 5.3371E-11 -5.8378E-11 -4.0944E-09
2.3088E-12 2.6515E-10 3.8569E-12 -5.8378E-11 6.6950E-11 4.5484E-09
9.9760E-11 1.8532E-08 2.7073E-10 -4.0944E-09 4.5484E-09 3.1898E-07
# lat0 lon0 xBary yBary zBary JD0
4.854959 -14.864175 0.431442 0.076836 -0.907656 2460170.005101
# Heliocentric elements and errors
Epoch: 2460170.5000 = 2023/08/14
Mean Anomaly: 358.85746 +/- 0.118
Argument of Peri: 191.65306 +/- 0.648
Long of Asc Node: 194.16853 +/- 0.003
Inclination: 9.24677 +/- 0.001
Eccentricity: 0.89459288 +/- 0.0077
Semi-Major Axis: 195.81697511 +/- 13.4011
Time of Perihelion: 2463346.9572 +/- 31.3
Perihelion: 20.64050356 +/- 2.0646
Aphelion: 370.99344665 +/- 25.4342
Period (y) 2740.2091 +/- 281.30
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 22.52284811 +/- 0.0040
Ecliptic Y -6.41946234 +/- 0.0011
Ecliptic Z 1.91084628 +/- 0.0003
Ecliptic XDOT -0.00028761 +/- 0.0000
Ecliptic YDOT 0.00479604 +/- 0.0000
Ecliptic ZDOT -0.00076852 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 23.49764919 +/- 0.0039
Geocenter to KBO 22.57822879 +/- 0.0042
# Hcoef: 8.80
The following table shows the complete astrometric record for 23PY4. 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 (23PY4) followed by the observatory code and reference code for the source of the astrometry.
2023 08 13.50430 22 57 45.439 -01 22 36.03 22.5r 23PY4 T09 C~8nlW 2023 08 13.57965 22 57 44.971 -01 22 39.18 22.4r 23PY4 T09 C~8nlW 2023 09 14.19207 22 54 12.282 -01 46 57.57 22.5r 23PY4 269 C~8nlW 2023 09 15.16258 22 54 05.674 -01 47 46.88 22.4r 23PY4 269 C~8nlW 2023 10 06.08037 22 51 53.953 -02 05 11.27 22.3r 23PY4 269 C~8nlW 2023 10 07.09587 22 51 48.348 -02 05 59.71 22.4r 23PY4 269 C~8nlW 2024 10 03.23446 23 08 57.621 -00 57 48.90 23PY4 G37 C~8nlW 2024 10 04.19796 23 08 51.708 -00 58 37.95 23PY4 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 0.09 0.00 -0.07
2 0.0002 -7.69 0.06 -0.21 -0.31
3 0.0868 -3512.72 -0.26 -120.71 0.27
4 0.0894 -3623.16 -0.11 -128.17 0.09
5 0.1467 -5848.70 0.03 -334.25 0.13
6 0.1495 -5944.95 0.19 -346.74 -0.08
7 1.1409 9883.97 0.02 -2511.28 -0.01
8 1.1436 9783.00 -0.02 -2522.33 -0.03
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.
23PY4 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 186.128 187.774 185.670 ecceobj 0.889 0.889 0.889 incobj 9.257 9.256 9.256 qmin 19.456 19.419 19.080 qmax 381.333 508.926 501.350 amean 166.817 219.624 203.162 amin 148.005 164.027 174.390 amax 200.997 264.992 261.025 emean 0.876 0.904 0.897 emin 0.859 0.868 0.878 emax 0.899 0.921 0.924 imean 9.462 9.993 9.395 imin 8.790 8.984 8.678 imax 10.429 11.660 10.488 excite_mean 0.891 0.920 0.912 fracstop 0.255 0.376 0.331 cjmean 2.418 2.407 2.398 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 226.0 220.1 225.1 kozaiamp 33.6 29.0 32.1