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 Wed Apr 30 01:11:32 2025
# Orbit generated from Bernstein formalism
# Fitting 6 observations of 6
# Arc: 54.71d
# First observation: 2023/08/13
# Last observation: 2023/10/07
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.031446 -0.000001 0.004320 0.027280 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 1.75 DOF: 7 RMS: 0.10
# Min/Max residuals: -0.16 0.17
# Exact a, adot, b, bdot, g, gdot:
1.622653E-05 2.810891E-02 2.394558E-06 4.166022E-03 2.676136E-02 -8.165450E-03
# Covariance matrix:
7.8162E-13 6.8908E-11 -2.1249E-14 3.3873E-12 1.1418E-11 -2.5713E-09
6.8908E-11 1.1251E-07 -3.5039E-11 4.7751E-09 1.4442E-08 -4.9312E-06
-2.1249E-14 -3.5039E-11 6.6270E-13 -6.6792E-12 -4.4571E-12 1.5521E-09
3.3873E-12 4.7751E-09 -6.6792E-12 2.7053E-10 6.1894E-10 -2.0740E-07
1.1418E-11 1.4442E-08 -4.4571E-12 6.1894E-10 1.8995E-09 -6.1744E-07
-2.5713E-09 -4.9312E-06 1.5521E-09 -2.0740E-07 -6.1744E-07 2.2194E-04
# lat0 lon0 xBary yBary zBary JD0
2.984037 -61.696877 -0.366334 0.048614 -0.937770 2460169.824371
# Heliocentric elements and errors
Epoch: 2460160.5000 = 2023/08/04
Mean Anomaly: 320.38307 +/- 26.361
Argument of Peri: 91.15959 +/- 26.848
Long of Asc Node: 279.81084 +/- 0.323
Inclination: 8.85269 +/- 0.143
Eccentricity: 0.32428354 +/- 0.5599
Semi-Major Axis: 47.12633033 +/- 20.3959
Time of Perihelion: 2473164.3574 +/- 1898.1
Perihelion: 31.84403728 +/- 29.7702
Aphelion: 62.40862338 +/- 37.7606
Period (y) 323.5219 +/- 210.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 18.47003125 +/- 0.0288
Ecliptic Y -33.50645498 +/- 0.0535
Ecliptic Z 1.94540298 +/- 0.0032
Ecliptic XDOT 0.00212247 +/- 0.0007
Ecliptic YDOT 0.00212568 +/- 0.0014
Ecliptic ZDOT 0.00038215 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 38.30938752 +/- 0.0488
Geocenter to KBO 37.36731341 +/- 0.0609
# 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.
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 0.08 0.00 0.01
2 0.0004 -10.13 -0.08 0.04 -0.06
3 0.0868 -1810.65 0.02 -18.80 -0.07
4 0.0895 -1849.52 -0.01 -20.14 0.17
5 0.1471 -2343.37 -0.10 -62.72 0.10
6 0.1498 -2350.18 0.10 -65.30 -0.16
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: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