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: 15FZ431
# Created Sun Apr 27 01:10:22 2025
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 95.84d
# First observation: 2015/03/17
# Last observation: 2015/06/21
Preliminary a, adot, b, bdot, g, gdot:
-0.000006 0.018120 -0.000017 -0.002726 0.018572 0.000000
# Chi-squared of fit: 4.16 DOF: 10 RMS: 0.13
# Min/Max residuals: -0.19 0.27
# Exact a, adot, b, bdot, g, gdot:
1.252861E-05 1.366322E-02 -4.077260E-06 -3.132572E-03 1.787674E-02 6.907912E-03
# Covariance matrix:
4.9973E-13 8.2816E-12 -3.0809E-14 7.0685E-13 2.3527E-12 7.5887E-11
8.2816E-12 1.0299E-08 -3.6443E-11 9.7844E-10 1.4453E-09 -1.6184E-07
-3.0809E-14 -3.6443E-11 4.8307E-13 -5.2294E-12 -5.0906E-12 5.8188E-10
7.0685E-13 9.7844E-10 -5.2294E-12 1.1175E-10 1.3584E-10 -1.5829E-08
2.3527E-12 1.4453E-09 -5.0906E-12 1.3584E-10 2.0971E-10 -2.1136E-08
7.5887E-11 -1.6184E-07 5.8188E-10 -1.5829E-08 -2.1136E-08 2.9492E-06
# lat0 lon0 xBary yBary zBary JD0
8.740954 -164.335599 0.328528 0.142354 -0.924987 2457098.946658
# Heliocentric elements and errors
Epoch: 2457090.5000 = 2015/03/09
Mean Anomaly: 51.26466 +/- 10.410
Argument of Peri: 41.91920 +/- 2.413
Long of Asc Node: 48.78513 +/- 0.228
Inclination: 15.33497 +/- 0.089
Eccentricity: 0.44867541 +/- 0.1064
Semi-Major Axis: 63.65519275 +/- 7.0523
Time of Perihelion: 2430674.6386 +/- 3083.0
Perihelion: 35.09467302 +/- 7.8094
Aphelion: 92.21571248 +/- 12.2574
Period (y) 507.8775 +/- 84.40
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -54.22824597 +/- 0.0431
Ecliptic Y -14.86473564 +/- 0.0121
Ecliptic Z 8.50062759 +/- 0.0069
Ecliptic XDOT -0.00051547 +/- 0.0003
Ecliptic YDOT -0.00232261 +/- 0.0001
Ecliptic ZDOT -0.00031332 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 56.86759794 +/- 0.0413
Geocenter to KBO 55.93860481 +/- 0.0453
# Hcoef: 8.05
The following table shows the complete astrometric record for 15FZ431. 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 (15FZ431) followed by the observatory code and reference code for the source of the astrometry.
2015 03 17.44588 13 11 08.650 +01 54 24.52 25.5r 15FZ431 568 C~444Y 2015 03 17.54322 13 11 08.329 +01 54 26.26 15FZ431 568 C~444Y 2015 03 17.61735 13 11 08.099 +01 54 27.68 15FZ431 568 C~444Y 2015 04 18.17995 13 09 20.776 +02 05 00.65 15FZ431 304 C~444Y 2015 04 18.24185 13 09 20.538 +02 05 01.46 25.5r 15FZ431 304 C~444Y 2015 04 19.25957 13 09 17.060 +02 05 19.21 15FZ431 304 C~444Y 2015 06 20.36231 13 06 48.294 +02 11 59.53 15FZ431 568 C~444Y 2015 06 21.28847 13 06 47.516 +02 11 53.74 15FZ431 568 C~444Y
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 0.27
2 0.0003 -5.11 -0.05 -0.24 -0.09
3 0.0005 -8.84 0.14 -0.25 -0.19
4 0.0869 -1737.50 0.12 -31.91 0.18
5 0.0871 -1741.10 -0.09 -32.53 -0.19
6 0.0898 -1796.06 -0.04 -36.10 0.01
7 0.2599 -4009.86 0.10 -519.90 0.03
8 0.2624 -4018.43 -0.09 -529.71 -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.
15FZ431 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