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: 23PZ4
# Created Wed Apr 16 01:11:35 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:
-0.000015 0.024353 -0.000002 -0.000396 0.024816 0.000000
# Chi-squared of fit: 0.73 DOF: 10 RMS: 0.05
# Min/Max residuals: -0.07 0.11
# Exact a, adot, b, bdot, g, gdot:
1.584454E-05 2.474624E-02 1.668950E-08 -4.155443E-04 2.516714E-02 6.488592E-03
# Covariance matrix:
7.2097E-13 3.3506E-12 8.3080E-14 -3.9511E-13 2.4702E-12 2.2752E-10
3.3506E-12 3.4609E-10 5.2465E-12 -4.6217E-11 1.3850E-10 2.4136E-08
8.3080E-14 5.2465E-12 3.7029E-13 -9.9452E-13 2.1755E-12 3.6488E-10
-3.9511E-13 -4.6217E-11 -9.9452E-13 7.0918E-12 -1.8304E-11 -3.2379E-09
2.4702E-12 1.3850E-10 2.1755E-12 -1.8304E-11 5.8141E-11 9.6133E-09
2.2752E-10 2.4136E-08 3.6488E-10 -3.2379E-09 9.6133E-09 1.6895E-06
# lat0 lon0 xBary yBary zBary JD0
7.103308 -52.033902 -0.204001 0.121795 -0.979550 2460169.853061
# Heliocentric elements and errors
Epoch: 2460160.5000 = 2023/08/04
Mean Anomaly: 60.81102 +/- 4.233
Argument of Peri: 6.85445 +/- 0.145
Long of Asc Node: 210.59297 +/- 0.035
Inclination: 6.99289 +/- 0.001
Eccentricity: 0.26352720 +/- 0.0523
Semi-Major Axis: 43.60353903 +/- 1.2813
Time of Perihelion: 2442395.6797 +/- 957.1
Perihelion: 32.11282046 +/- 2.4661
Aphelion: 55.09425760 +/- 2.7951
Period (y) 287.9326 +/- 12.69
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 25.03390032 +/- 0.0073
Ecliptic Y -31.73561569 +/- 0.0094
Ecliptic Z 4.91355623 +/- 0.0015
Ecliptic XDOT 0.00255331 +/- 0.0001
Ecliptic YDOT 0.00110767 +/- 0.0001
Ecliptic ZDOT 0.00004244 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.71840497 +/- 0.0086
Geocenter to KBO 39.73434789 +/- 0.0120
# Hcoef: 7.04
The following table shows the complete astrometric record for 23PZ4. 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 (23PZ4) followed by the observatory code and reference code for the source of the astrometry.
2023 08 13.35226 20 34 04.483 -11 24 16.53 23.1r 23PZ4 T09 C~8nlW 2023 08 13.49372 20 34 03.814 -11 24 19.30 23.2r 23PZ4 T09 C~8nlW 2023 09 14.02116 20 31 56.611 -11 35 11.62 23.0r 23PZ4 269 C~8nlW 2023 09 15.02127 20 31 53.515 -11 35 31.21 23.1r 23PZ4 269 C~8nlW 2023 10 06.06582 20 31 07.176 -11 41 40.14 23.1r 23PZ4 269 C~8nlW 2023 10 07.04784 20 31 05.966 -11 41 54.68 23.1r 23PZ4 269 C~8nlW 2024 10 03.22934 20 36 42.033 -11 21 33.38 23PZ4 G37 C~8nlW 2024 10 04.19282 20 36 40.537 -11 21 48.75 23PZ4 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 -0.06 0.00 -0.06
2 0.0004 -10.22 0.08 -0.23 0.04
3 0.0867 -1983.54 0.01 -166.96 -0.07
4 0.0894 -2032.47 -0.04 -174.67 -0.02
5 0.1471 -2783.48 -0.05 -363.67 -0.00
6 0.1497 -2804.30 0.07 -373.37 0.11
7 1.1413 2283.77 0.03 -422.98 -0.04
8 1.1440 2258.60 -0.03 -432.31 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.
23PZ4 quality flag:1 Type: 7:4EEE CENTAURR CLASSICAL axisobj 43.325 48.470 40.238 ecceobj 0.262 0.381 0.155 incobj 7.008 7.007 7.008 qmin 31.520 29.919 33.451 qmax 56.892 67.880 47.770 amean 43.726 48.750 40.424 amin 43.172 48.416 40.023 amax 44.404 49.042 40.819 emean 0.266 0.384 0.157 emin 0.252 0.381 0.140 emax 0.281 0.387 0.171 imean 8.537 7.509 10.469 imin 7.474 7.502 7.454 imax 9.441 7.521 14.999 excite_mean 0.305 0.406 0.241 fracstop 1.000 0.000 1.000 cjmean 2.986 2.950 2.997 libcent 0 178.0 -180.0 -180.0 libamp 0 129.2 -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 168.0 15.2 167.3 kozaiamp 180.0 0.7 179.9