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: 13AX158 # Created Fri Apr 26 01:14:14 2024 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 3.00d # First observation: 2013/01/04 # Last observation: 2013/01/07 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.444043 0.000001 -0.029231 0.153684 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 2.41 DOF: 23 RMS: 0.07 # Min/Max residuals: -0.11 0.10 # Exact a, adot, b, bdot, g, gdot: 4.503610E-05 4.343449E-01 -2.600310E-06 -2.980497E-02 1.520207E-01 1.463172E-01 # Covariance matrix: 1.8355E-11 1.7900E-07 2.5963E-12 1.1910E-08 2.9363E-08 2.6518E-07 1.7900E-07 1.7869E-03 2.5717E-08 1.1899E-04 2.9289E-04 2.3966E-03 2.5963E-12 2.5717E-08 6.7825E-13 1.6626E-09 4.2181E-09 3.8924E-08 1.1910E-08 1.1899E-04 1.6626E-09 7.9365E-06 1.9502E-05 1.5677E-04 2.9363E-08 2.9289E-04 4.2181E-09 1.9502E-05 4.8008E-05 3.9668E-04 2.6518E-07 2.3966E-03 3.8924E-08 1.5677E-04 3.9668E-04 8.8872E-03 # lat0 lon0 xBary yBary zBary JD0 -13.229327 121.775762 0.299568 -0.213739 -0.909621 2456296.780758 # Heliocentric elements and errors Epoch: 2456290.5000 = 2012/12/29 Mean Anomaly: 3.52339 +/- 5.466 Argument of Peri: 209.77578 +/- 16.877 Long of Asc Node: 232.45868 +/- 2.604 Inclination: 12.55539 +/- 0.293 Eccentricity: 0.75987371 +/- 0.2739 Semi-Major Axis: 28.41356371 +/- 28.8817 Time of Perihelion: 2455749.0669 +/- 155.0 Perihelion: 6.82284376 +/- 10.4235 Aphelion: 50.00428366 +/- 51.4203 Period (y) 151.4596 +/- 230.93 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -3.60841683 +/- 0.1537 Ecliptic Y 6.39809611 +/- 0.2481 Ecliptic Z -1.50545510 +/- 0.0686 Ecliptic XDOT -0.00794226 +/- 0.0011 Ecliptic YDOT -0.00204169 +/- 0.0012 Ecliptic ZDOT -0.00112545 +/- 0.0003 # Distances at JD0 (AU) Heliocenter to KBO 7.49817984 +/- 0.2247 Geocenter to KBO 6.57805166 +/- 0.2998 # Hcoef: 14.37
The following table shows the complete astrometric record for 13AX158. 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 (13AX158) followed by the observatory code and reference code for the source of the astrometry.
2013 01 04.27998 08 04 20.31 +06 50 49.0 23.1r 13AX158 W84 C~0sQM 2013 01 04.29034 08 04 20.11 +06 50 49.1 23.0r 13AX158 W84 C~0sQM 2013 01 04.30079 08 04 19.91 +06 50 49.2 23.5r 13AX158 W84 C~0sQM 2013 01 05.25672 08 04 01.75 +06 50 54.5 22.9r 13AX158 W84 C~0sQM 2013 01 05.26720 08 04 01.54 +06 50 54.5 22.7r 13AX158 W84 C~0sQM 2013 01 05.27756 08 04 01.34 +06 50 54.6 22.7r 13AX158 W84 C~0sQM 2013 01 05.28817 08 04 01.13 +06 50 54.7 23.0r 13AX158 W84 C~0sQM 2013 01 06.27283 08 03 42.25 +06 51 02.6 22.9r 13AX158 W84 C~0sQM 2013 01 06.28339 08 03 42.04 +06 51 02.6 23.0r 13AX158 W84 C~0sQM 2013 01 06.30427 08 03 41.62 +06 51 02.8 23.1r 13AX158 W84 C~0sQM 2013 01 07.25164 08 03 23.33 +06 51 12.9 22.9r 13AX158 W84 C~0sQM 2013 01 07.25771 08 03 23.21 +06 51 13.0 23.0r 13AX158 W84 C~0sQM 2013 01 07.27239 08 03 22.92 +06 51 13.1 22.7r 13AX158 W84 C~0sQM 2013 01 07.28289 08 03 22.71 +06 51 13.4 23.1r 13AX158 W84 C~0sQM
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 0.03 0.00 -0.10
2 0.0000 -2.93 0.03 -0.53 -0.04
3 0.0001 -5.87 0.06 -1.06 0.02
4 0.0027 -271.36 0.01 -52.92 0.09
5 0.0027 -274.41 -0.05 -53.58 0.01
6 0.0027 -277.35 -0.01 -54.11 0.05
7 0.0028 -280.43 -0.05 -54.67 0.07
8 0.0055 -556.96 0.02 -106.20 0.04
9 0.0055 -560.01 0.01 -106.86 -0.06
10 0.0055 -566.17 -0.11 -107.98 -0.07
11 0.0081 -834.58 0.02 -155.46 -0.04
12 0.0082 -836.35 0.02 -155.74 -0.01
13 0.0082 -840.60 0.07 -156.55 -0.07
14 0.0082 -843.72 0.01 -156.92 0.10
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.
13AX158 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