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: 10GS136 # Created Fri Nov 22 02:09:05 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 15.09d # First observation: 2010/04/05 # Last observation: 2010/04/20 Preliminary a, adot, b, bdot, g, gdot: -0.000007 -0.273893 -0.000001 0.550174 0.120984 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 21.83 DOF: 15 RMS: 0.26 # Min/Max residuals: -0.38 0.64 # Exact a, adot, b, bdot, g, gdot: 5.715476E-06 5.931740E-02 5.015150E-05 5.527477E-01 1.745714E-01 1.049704E-01 # Covariance matrix: 1.7138E-12 1.2712E-08 1.5396E-13 8.6363E-11 2.0427E-09 1.6893E-09 1.2712E-08 1.3163E-04 1.6993E-09 8.2136E-07 2.1107E-05 1.3877E-05 1.5396E-13 1.6993E-09 4.8990E-13 -6.5273E-12 2.7145E-10 5.7661E-12 8.6363E-11 8.2136E-07 -6.5273E-12 8.0513E-09 1.3240E-07 2.0330E-07 2.0427E-09 2.1107E-05 2.7145E-10 1.3240E-07 3.3847E-06 2.2600E-06 1.6893E-09 1.3877E-05 5.7661E-12 2.0330E-07 2.2600E-06 7.2972E-06 # lat0 lon0 xBary yBary zBary JD0 -5.208405 -155.922097 0.158116 -0.090007 -0.986976 2455291.750056 # Heliocentric elements and errors Epoch: 2455290.5000 = 2010/04/04 Mean Anomaly: 1.81483 +/- 0.592 Argument of Peri: 329.99286 +/- 1.058 Long of Asc Node: 203.26084 +/- 0.080 Inclination: 83.54261 +/- 1.179 Eccentricity: 0.79507309 +/- 0.0421 Semi-Major Axis: 31.34965012 +/- 6.7738 Time of Perihelion: 2454967.2927 +/- 12.1 Perihelion: 6.42438709 +/- 1.9148 Aphelion: 56.27491316 +/- 12.2308 Period (y) 175.5324 +/- 56.89 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -6.17368250 +/- 0.0549 Ecliptic Y -2.58978309 +/- 0.0245 Ecliptic Z -0.51969427 +/- 0.0055 Ecliptic XDOT -0.00183372 +/- 0.0001 Ecliptic YDOT -0.00183339 +/- 0.0002 Ecliptic ZDOT 0.00848361 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 6.71501409 +/- 0.0513 Geocenter to KBO 5.72831624 +/- 0.0604 # Hcoef: 12.60
The following table shows the complete astrometric record for 10GS136. 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 (10GS136) followed by the observatory code and reference code for the source of the astrometry.
2010 04 05.24929 13 21 16.34 -14 10 33.8 20.9V 10GS136 691 C~0GZ1 2010 04 05.26452 13 21 15.93 -14 10 26.3 20.9V 10GS136 691 C~0GZ1 2010 04 05.27972 13 21 15.42 -14 10 18.7 21.1V 10GS136 691 C~0GZ1 2010 04 15.30392 13 16 24.70 -12 46 08.9 20.1V 10GS136 G96 C~0GZ1 2010 04 15.31162 13 16 24.45 -12 46 04.8 20.0V 10GS136 G96 C~0GZ1 2010 04 15.31929 13 16 24.27 -12 46 00.2 20.2V 10GS136 G96 C~0GZ1 2010 04 18.37783 13 14 56.94 -12 20 05.2 21.4g 10GS136 F51 C~7lrk 2010 04 18.42058 13 14 55.69 -12 19 43.2 21.2g 10GS136 F51 C~7lrk 2010 04 18.42890 13 14 55.47 -12 19 39.2 21.2g 10GS136 F51 C~7lrk 2010 04 20.33552 13 14 01.77 -12 03 29.5 20.9r 10GS136 F51 C~7lrk
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 -0.02
2 0.0000 -8.34 0.47 4.72 0.15
3 0.0001 -18.06 -0.38 8.99 -0.13
4 0.0275 -5851.35 0.08 3089.04 -0.30
5 0.0275 -5856.30 -0.32 3091.45 -0.26
6 0.0276 -5860.48 0.02 3094.71 0.64
7 0.0359 -7636.35 0.18 4048.87 -0.17
8 0.0361 -7661.71 -0.09 4062.27 0.01
9 0.0361 -7666.22 0.28 4064.75 -0.09
10 0.0413 -8765.75 -0.18 4662.73 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.
10GS136 quality flag:1 Type: CENTAURR CENTAURR CENTAURR axisobj 31.534 39.553 26.527 ecceobj 0.796 0.830 0.766 incobj 83.356 84.291 82.972 qmin 5.949 5.982 5.917 qmax 57.154 72.393 55.358 amean 29.018 35.939 28.585 amin 27.086 34.128 26.527 amax 31.769 39.553 30.674 emean 0.786 0.822 0.788 emin 0.775 0.810 0.766 emax 0.800 0.831 0.805 imean 83.864 84.692 82.911 imin 83.466 84.211 82.404 imax 84.125 85.183 83.187 excite_mean 1.267 1.291 1.267 fracstop 0.004 0.008 0.002 cjmean 1.184 0.968 1.217 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 320.3 316.6 330.2 kozaiamp 10.6 12.7 2.1