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: 11FS53 # Created Wed Nov 27 02:09:09 2024 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 5.93d # First observation: 2011/03/31 # Last observation: 2011/04/06 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.796462 0.000000 -0.050709 0.232418 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: 22.19 DOF: 23 RMS: 0.22 # Min/Max residuals: -0.56 0.46 # Exact a, adot, b, bdot, g, gdot: 5.362436E-05 7.884651E-01 -3.137384E-06 -5.069813E-02 2.311371E-01 -8.692656E-03 # Covariance matrix: 1.5367E-10 2.2500E-06 2.9245E-12 4.4788E-10 3.5731E-07 -3.1837E-07 2.2500E-06 3.3048E-02 4.2812E-08 6.6694E-06 5.2481E-03 -4.7844E-03 2.9245E-12 4.2812E-08 4.0599E-13 -1.7205E-11 6.7996E-09 -5.6560E-09 4.4788E-10 6.6694E-06 -1.7205E-11 4.2675E-09 1.0585E-06 -1.3102E-06 3.5731E-07 5.2481E-03 6.7996E-09 1.0585E-06 8.3339E-04 -7.5905E-04 -3.1837E-07 -4.7844E-03 -5.6560E-09 -1.3102E-06 -7.5905E-04 1.1030E-03 # lat0 lon0 xBary yBary zBary JD0 -0.788800 -168.149751 0.030758 -0.013830 -1.002334 2455651.871266 # Heliocentric elements and errors Epoch: 2455650.5000 = 2011/03/30 Mean Anomaly: 359.38990 +/- 1.267 Argument of Peri: 192.49505 +/- 7.599 Long of Asc Node: 1.67630 +/- 2.050 Inclination: 3.73876 +/- 0.843 Eccentricity: 0.57438521 +/- 0.1717 Semi-Major Axis: 12.50637383 +/- 3.7605 Time of Perihelion: 2455677.8776 +/- 55.5 Perihelion: 5.32289763 +/- 2.6787 Aphelion: 19.68985002 +/- 6.2981 Period (y) 44.2288 +/- 19.95 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -5.21709645 +/- 0.5288 Ecliptic Y -1.06451412 +/- 0.1109 Ecliptic Z -0.05955968 +/- 0.0074 Ecliptic XDOT 0.00202514 +/- 0.0005 Ecliptic YDOT -0.00911161 +/- 0.0009 Ecliptic ZDOT -0.00059903 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 5.32492563 +/- 0.5186 Geocenter to KBO 4.32643673 +/- 0.5404 # Hcoef: 14.71
The following table shows the complete astrometric record for 11FS53. 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 (11FS53) followed by the observatory code and reference code for the source of the astrometry.
2011 03 31.37050 12 42 20.959 -05 24 41.43 21.5w 11FS53 F51 C~0UWw 2011 03 31.40261 12 42 20.156 -05 24 37.81 21.6w 11FS53 F51 C~0UWw 2011 03 31.41812 12 42 19.787 -05 24 35.82 21.5w 11FS53 F51 C~0UWw 2011 04 02.40325 12 41 32.298 -05 20 36.52 21.2R 11FS53 F65 C~0UWw 2011 04 02.40527 12 41 32.256 -05 20 35.98 22.0R 11FS53 F65 C~0UWw 2011 04 02.40726 12 41 32.196 -05 20 35.94 21.0R 11FS53 F65 C~0UWw 2011 04 05.31309 12 40 22.80 -05 14 45.6 21.7V 11FS53 G96 C~0UWw 2011 04 05.32184 12 40 22.58 -05 14 44.5 21.4V 11FS53 G96 C~0UWw 2011 04 05.33060 12 40 22.36 -05 14 43.3 21.6V 11FS53 G96 C~0UWw 2011 04 05.33937 12 40 22.15 -05 14 42.9 21.3V 11FS53 G96 C~0UWw 2011 04 06.27779 12 39 59.86 -05 12 49.7 21.2V 11FS53 G96 C~0UWw 2011 04 06.28414 12 39 59.72 -05 12 48.5 22.7V 11FS53 G96 C~0UWw 2011 04 06.29057 12 39 59.58 -05 12 47.4 21.8V 11FS53 G96 C~0UWw 2011 04 06.29693 12 39 59.40 -05 12 46.8 21.5V 11FS53 G96 C~0UWw
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 0.07 0.00 -0.07 2 0.0001 -12.45 -0.00 -1.36 -0.34 3 0.0001 -18.30 0.14 -1.68 -0.13 4 0.0056 -764.60 -0.12 -58.89 0.14 5 0.0056 -765.39 -0.12 -58.64 0.46 6 0.0056 -766.23 -0.19 -58.95 0.21 7 0.0135 -1857.19 0.21 -142.45 0.09 8 0.0136 -1860.65 0.12 -142.72 0.10 9 0.0136 -1864.14 -0.01 -142.90 0.19 10 0.0136 -1867.18 0.32 -143.77 -0.38 11 0.0162 -2217.91 -0.11 -170.09 -0.56 12 0.0162 -2220.30 -0.07 -169.81 -0.07 13 0.0162 -2222.66 0.04 -169.61 0.33 14 0.0162 -2225.37 -0.23 -170.11 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.
11FS53 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