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: 10SB41 # Created Thu May 24 01:37:54 2012 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 76.81d # First observation: 2010/09/16 # Last observation: 2010/12/02 Preliminary a, adot, b, bdot, g, gdot: -0.000013 0.062626 0.000017 -0.003302 0.038312 0.000000 # Chi-squared of fit: 33.45 DOF: 22 RMS: 0.27 # Min/Max residuals: -0.60 0.65 # Exact a, adot, b, bdot, g, gdot: 2.070843E-05 4.706346E-02 -1.879489E-06 -2.867118E-03 3.586708E-02 -3.766164E-03 # Covariance matrix: 4.5344E-13 -2.2895E-11 -2.2061E-14 4.8114E-13 -1.7757E-12 3.8676E-10 -2.2895E-11 1.5787E-08 1.7124E-11 -4.0955E-10 2.0790E-09 -1.5361E-07 -2.2061E-14 1.7124E-11 2.9861E-13 -2.3702E-12 2.2631E-12 -1.6595E-10 4.8114E-13 -4.0955E-10 -2.3702E-12 3.1933E-11 -5.4440E-11 3.9106E-09 -1.7757E-12 2.0790E-09 2.2631E-12 -5.4440E-11 2.8090E-10 -1.9016E-08 3.8676E-10 -1.5361E-07 -1.6595E-10 3.9106E-09 -1.9016E-08 1.7254E-06 # lat0 lon0 xBary yBary zBary JD0 -3.988118 7.516037 0.244645 -0.067542 -0.968367 2455455.943276 # Heliocentric elements and errors Epoch: 2455450.5000 = 2010/09/11 Mean Anomaly: 347.78616 +/- 3.120 Argument of Peri: 250.55120 +/- 6.231 Long of Asc Node: 139.36219 +/- 0.080 Inclination: 5.20640 +/- 0.007 Eccentricity: 0.28812737 +/- 0.0176 Semi-Major Axis: 39.82628129 +/- 0.5587 Time of Perihelion: 2458565.1029 +/- 792.8 Perihelion: 28.35123968 +/- 0.8050 Aphelion: 51.30132289 +/- 1.0039 Period (y) 251.3407 +/- 5.29 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.57274440 +/- 0.0129 Ecliptic Y 3.52169111 +/- 0.0017 Ecliptic Z -1.93913168 +/- 0.0009 Ecliptic XDOT -0.00076890 +/- 0.0001 Ecliptic YDOT 0.00352849 +/- 0.0000 Ecliptic ZDOT -0.00019835 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 28.85418969 +/- 0.0128 Geocenter to KBO 27.88072167 +/- 0.0130 # Hcoef: 8.16
The following table shows the complete astrometric record for 10SB41. 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 (10SB41) followed by the observatory code and reference code for the source of the astrometry.
2010 09 16.44251 00 33 54.24 -00 40 55.8 23.0w 10SB41 F51 C~0OrT 2010 09 16.45376 00 33 54.16 -00 40 56.4 23.0w 10SB41 F51 C~0OrT 2010 09 16.46504 00 33 54.13 -00 40 56.9 22.9w 10SB41 F51 C~0OrT 2010 10 04.41398 00 32 05.79 -00 53 19.0 23.0w 10SB41 F51 C~0OrT 2010 10 04.42726 00 32 05.72 -00 53 19.6 22.3w 10SB41 F51 C~0OrT 2010 10 04.44280 00 32 05.62 -00 53 20.2 22.6w 10SB41 F51 C~0OrT 2010 10 04.45674 00 32 05.54 -00 53 20.3 22.9w 10SB41 F51 C~0OrT 2010 11 01.47461 00 29 25.43 -01 09 55.9 10SB41 D35 C~0OrT 2010 11 01.53685 00 29 25.10 -01 09 57.2 10SB41 D35 C~0OrT 2010 11 01.61748 00 29 24.71 -01 09 59.7 10SB41 D35 C~0OrT 2010 11 01.69420 00 29 24.33 -01 10 02.4 10SB41 D35 C~0OrT 2010 11 14.487572 00 28 27.239 -01 15 14.45 22.3R 10SB41 568 C~0PNK 2010 12 02.14711 00 27 35.43 -01 19 03.1 22.4R 10SB41 688 C~0Po2 2010 12 02.25232 00 27 35.13 -01 19 02.9 10SB41 688 C~0Po2
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 0.01 0.00 0.13 2 0.0000 -1.34 -0.23 -0.08 0.08 3 0.0001 -1.95 0.27 -0.36 -0.17 4 0.0492 -1787.90 -0.21 -41.54 -0.03 5 0.0492 -1789.10 -0.05 -41.68 -0.17 6 0.0493 -1790.72 -0.08 -41.64 -0.12 7 0.0493 -1791.86 0.20 -41.26 0.26 8 0.1260 -4391.76 -0.05 -9.67 -0.09 9 0.1262 -4396.83 -0.02 -8.91 0.44 10 0.1264 -4403.19 0.21 -8.91 0.13 11 0.1266 -4409.50 0.16 -9.14 -0.39 12 0.1617 -5319.87 -0.27 41.45 -0.11 13 0.2100 -6124.67 0.48 137.44 -0.60 14 0.2103 -6128.73 -0.42 139.40 0.65
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.
10SB41 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.835 39.834 39.835 ecceobj 0.289 0.289 0.289 incobj 5.207 5.207 5.207 qmin 27.958 27.968 27.943 qmax 51.681 51.725 51.645 amean 39.455 39.455 39.455 amin 38.950 38.943 38.949 amax 40.054 40.070 40.054 emean 0.277 0.277 0.277 emin 0.262 0.262 0.262 emax 0.291 0.292 0.291 imean 4.200 4.198 4.199 imin 3.726 3.725 3.725 imax 4.649 4.635 4.648 excite_mean 0.287 0.287 0.287 fracstop 1.000 1.000 1.000 cjmean 2.957 2.957 2.957 libcent 0 180.1 180.3 179.9 libamp 0 101.6 101.6 101.7 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 184.1 184.7 184.3 kozaiamp 180.0 180.0 180.0