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: 15FG504 # Created Wed May 21 01:10:25 2025 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 9.02d # First observation: 2015/03/20 # Last observation: 2015/03/29 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.037550 0.000000 -0.008083 0.027772 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 9.73 DOF: 27 RMS: 0.14 # Min/Max residuals: -0.21 0.38 # Exact a, adot, b, bdot, g, gdot: 1.946902E-05 3.314165E-02 -3.928302E-06 -7.352272E-03 2.689288E-02 -3.786878E-04 # Covariance matrix: 1.8489E-12 2.9174E-09 -4.1051E-13 -4.8424E-10 5.5538E-10 4.7258E-09 2.9174E-09 5.9597E-06 -8.3158E-10 -9.8299E-07 1.1265E-06 7.5963E-06 -4.1051E-13 -8.3158E-10 5.1391E-13 1.1952E-10 -1.5729E-10 -1.2210E-09 -4.8424E-10 -9.8299E-07 1.1952E-10 1.6318E-07 -1.8583E-07 -1.2611E-06 5.5538E-10 1.1265E-06 -1.5729E-10 -1.8583E-07 2.1300E-07 1.5283E-06 4.7258E-09 7.5963E-06 -1.2210E-09 -1.2611E-06 1.5283E-06 1.8719E-04 # lat0 lon0 xBary yBary zBary JD0 14.923822 -144.169604 0.588746 0.205962 -0.772320 2457102.086748 # Heliocentric elements and errors Epoch: 2457100.5000 = 2015/03/19 Mean Anomaly: 359.01433 +/- 16.921 Argument of Peri: 133.09652 +/- 66.806 Long of Asc Node: 84.07916 +/- 0.798 Inclination: 19.00932 +/- 0.221 Eccentricity: 0.53551978 +/- 0.1413 Semi-Major Axis: 81.67072010 +/- 23.7067 Time of Perihelion: 2457838.6182 +/- 12667.5 Perihelion: 37.93443412 +/- 15.9497 Aphelion: 125.40700608 +/- 38.1871 Period (y) 738.0874 +/- 321.37 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.12603415 +/- 0.4999 Ecliptic Y -21.02392415 +/- 0.3609 Ecliptic Z 9.57619760 +/- 0.1644 Ecliptic XDOT 0.00184562 +/- 0.0011 Ecliptic YDOT -0.00283231 +/- 0.0008 Ecliptic ZDOT -0.00073310 +/- 0.0004 # Distances at JD0 (AU) Heliocenter to KBO 37.96428428 +/- 0.4462 Geocenter to KBO 37.18456294 +/- 0.6381 # Hcoef: 8.96
The following table shows the complete astrometric record for 15FG504. 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 (15FG504) followed by the observatory code and reference code for the source of the astrometry.
2015 03 20.58597 14 33 41.26 +00 38 47.5 24.3i 15FG504 T09 C~8stm 2015 03 20.60811 14 33 41.18 +00 38 48.4 24.8i 15FG504 T09 C~8stm 2015 03 20.63033 14 33 41.11 +00 38 48.7 24.5i 15FG504 T09 C~8stm 2015 03 25.62086 14 33 23.28 +00 41 12.2 25.7g 15FG504 T09 C~8stm 2015 03 25.62815 14 33 23.26 +00 41 12.6 25.9g 15FG504 T09 C~8stm 2015 03 25.63244 14 33 23.24 +00 41 12.6 25.6g 15FG504 T09 C~8stm 2015 03 29.43339 14 33 08.62 +00 43 00.8 24.6y 15FG504 T09 C~8stm 2015 03 29.43882 14 33 08.57 +00 43 01.1 24.3y 15FG504 T09 C~8stm 2015 03 29.45238 14 33 08.55 +00 43 01.3 24.3y 15FG504 T09 C~8stm 2015 03 29.48533 14 33 08.38 +00 43 02.4 24.2y 15FG504 T09 C~8stm 2015 03 29.55232 14 33 08.13 +00 43 04.3 24.7z 15FG504 T09 C~8stm 2015 03 29.56128 14 33 08.08 +00 43 04.8 24.4z 15FG504 T09 C~8stm 2015 03 29.56672 14 33 08.05 +00 43 04.8 23.9z 15FG504 T09 C~8stm 2015 03 29.57939 14 33 08.01 +00 43 05.1 24.9z 15FG504 T09 C~8stm 2015 03 29.59575 14 33 07.94 +00 43 05.5 24.4z 15FG504 T09 C~8stm 2015 03 29.60939 14 33 07.89 +00 43 05.8 24.2z 15FG504 T09 C~8stm
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 -0.08
2 0.0001 -1.43 -0.12 0.46 0.15
3 0.0001 -2.52 0.09 0.41 -0.13
4 0.0138 -301.94 -0.01 49.99 -0.06
5 0.0138 -302.35 0.03 50.27 0.16
6 0.0138 -302.64 0.02 50.18 0.03
7 0.0242 -545.10 0.26 81.88 -0.05
8 0.0242 -545.91 -0.18 81.92 -0.05
9 0.0243 -546.25 0.38 82.01 -0.05
10 0.0244 -549.02 -0.19 82.23 -0.07
11 0.0245 -553.18 0.12 82.82 0.04
12 0.0246 -554.06 -0.15 83.05 0.21
13 0.0246 -554.48 -0.21 82.91 0.02
14 0.0246 -555.15 -0.03 83.00 0.02
15 0.0247 -556.27 -0.06 83.04 -0.05
16 0.0247 -557.08 0.04 83.08 -0.11
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.
15FG504 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