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: 07TA418 # Created Sat Oct 20 01:08:42 2018 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 33 observations of 33 # Arc: 8.10y # First observation: 2006/09/14 # Last observation: 2014/10/22 # Chi-squared of fit: 10.56 DOF: 60 RMS: 0.10 # Min/Max residuals: -0.35 0.31 # Exact a, adot, b, bdot, g, gdot: 2.029201E-05 3.354011E-02 -7.051181E-07 -9.617127E-05 2.715807E-02 -5.064643E-03 # Covariance matrix: 5.8267E-13 -4.0419E-13 -5.2066E-16 5.4750E-15 1.0989E-13 -1.2445E-12 -4.0419E-13 4.2307E-13 6.4759E-15 -4.5881E-15 7.9844E-14 1.3574E-12 -5.2066E-16 6.4759E-15 8.1509E-14 -2.2626E-14 8.2221E-15 2.2224E-14 5.4750E-15 -4.5881E-15 -2.2626E-14 1.3549E-14 6.2116E-16 -1.5040E-14 1.0989E-13 7.9844E-14 8.2221E-15 6.2116E-16 2.4822E-13 2.9009E-13 -1.2445E-12 1.3574E-12 2.2224E-14 -1.5040E-14 2.9009E-13 4.5016E-12 # lat0 lon0 xBary yBary zBary JD0 -22.409469 31.435701 0.646794 -0.294740 -0.715133 2453992.853414 # Heliocentric elements and errors Epoch: 2453992.5000 = 2006/09/14 Mean Anomaly: 351.36661 +/- 0.004 Argument of Peri: 297.80071 +/- 0.011 Long of Asc Node: 121.67161 +/- 0.001 Inclination: 21.96366 +/- 0.000 Eccentricity: 0.49949994 +/- 0.0001 Semi-Major Axis: 71.86921426 +/- 0.0122 Time of Perihelion: 2459329.4316 +/- 55.5 Perihelion: 35.97054637 +/- 0.0082 Aphelion: 107.76788214 +/- 0.0191 Period (y) 609.2879 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.03850217 +/- 0.0005 Ecliptic Y 17.60223660 +/- 0.0003 Ecliptic Z -14.03725243 +/- 0.0003 Ecliptic XDOT -0.00216465 +/- 0.0000 Ecliptic YDOT 0.00263210 +/- 0.0000 Ecliptic ZDOT 0.00018563 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.53936372 +/- 0.0005 Geocenter to KBO 36.82160496 +/- 0.0007 # Hcoef: 7.15
The following table shows the complete astrometric record for 07TA418. 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 (07TA418) followed by the observatory code and reference code for the source of the astrometry.
2006 09 14.35266 02 27 55.70 -09 05 21.7 22.3R 07TA418 807 Cx2653 2006 09 16.38925 02 27 49.51 -09 06 44.6 22.6R 07TA418 807 Cx2653 2007 10 04.33334 02 34 05.08 -08 38 27.1 22.6R 07TA418 807 Cx2653 2007 10 08.34192 02 33 47.74 -08 40 51.7 22.6R 07TA418 807 Cx2653 2007 10 08.37703 02 33 47.59 -08 40 52.9 22.4I 07TA418 807 Cx2653 2007 10 14.33609 02 33 20.37 -08 44 15.9 22.6R 07TA418 807 Cx2653 2007 10 14.36201 02 33 20.25 -08 44 16.8 22.2I 07TA418 807 Cx2653 2007 11 03.33264 02 31 41.42 -08 53 20.7 22.6R 07TA418 807 Cx2653 2007 11 05.31594 02 31 31.35 -08 54 00.6 22.6R 07TA418 807 Cx2653 2007 11 05.34573 02 31 31.19 -08 54 01.1 21.9I 07TA418 807 Cx2653 2007 11 07.35201 02 31 21.01 -08 54 39.1 22.6R 07TA418 807 Cx2653 2007 11 09.14120 02 31 11.99 -08 55 10.0 22.1I 07TA418 807 Cx2653 2007 11 09.16289 02 31 11.89 -08 55 10.6 22.7R 07TA418 807 Cx2653 2007 11 11.14855 02 31 01.89 -08 55 42.5 22.7R 07TA418 807 Cx2653 2007 11 15.14721 02 30 42.00 -08 56 37.5 22.2I 07TA418 807 Cx2653 2007 11 15.16015 02 30 41.93 -08 56 37.7 22.9R 07TA418 807 Cx2653 2007 11 17.13643 02 30 32.25 -08 57 00.2 22.5R 07TA418 807 Cx2653 2007 11 19.29311 02 30 21.79 -08 57 21.2 22.6R 07TA418 807 Cx2653 2007 11 19.33174 02 30 21.60 -08 57 21.4 22.2I 07TA418 807 Cx2653 2007 12 01.22981 02 29 27.24 -08 58 08.4 22.7R 07TA418 807 Cx2653 2007 12 05.14711 02 29 10.89 -08 57 57.8 22.7R 07TA418 807 Cx2653 2007 12 05.16972 02 29 10.80 -08 57 57.9 22.3I 07TA418 807 Cx2653 2007 12 07.17487 02 29 02.78 -08 57 47.2 22.7R 07TA418 807 Cx2653 2007 12 09.11873 02 28 55.28 -08 57 33.9 22.6R 07TA418 807 Cx2653 2007 12 09.13668 02 28 55.20 -08 57 33.6 22.2I 07TA418 807 Cx2653 2007 12 11.11958 02 28 47.81 -08 57 16.6 22.7R 07TA418 807 Cx2653 2007 12 11.14056 02 28 47.73 -08 57 16.4 22.2I 07TA418 807 Cx2653 2008 09 26.30726 02 41 58.60 -07 53 07.0 24.2R 07TA418 250 S~06BK 2008 09 26.31421 02 41 58.58 -07 53 07.2 07TA418 250 S~06BK 2008 09 26.32046 02 41 58.56 -07 53 07.5 07TA418 250 S~06BK 2008 09 26.32740 02 41 58.53 -07 53 07.7 07TA418 250 S~06BK 2014 10 22.35370 03 25 41.95 -03 47 07.0 22.1R 07TA418 G37 C~1BxQ 2014 10 22.44696 03 25 41.51 -03 47 09.7 07TA418 G37 C~1BxQ
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 -0.16 0.00 0.10 2 0.0056 0.00 0.13 0.00 0.03 3 1.0540 0.00 0.08 0.00 0.10 4 1.0650 0.00 0.02 0.00 0.01 5 1.0651 0.00 0.14 0.00 0.05 6 1.0814 0.00 0.05 0.00 0.02 7 1.0815 0.00 0.10 0.00 -0.03 8 1.1362 0.00 0.23 0.00 -0.35 9 1.1416 0.00 0.21 0.00 0.02 10 1.1417 0.00 0.10 0.00 0.10 11 1.1472 0.00 -0.06 0.00 -0.07 12 1.1521 0.00 0.03 0.00 0.31 13 1.1521 0.00 0.20 0.00 0.08 14 1.1576 0.00 -0.02 0.00 0.03 15 1.1685 0.00 0.06 0.00 -0.02 16 1.1685 0.00 -0.02 0.00 -0.06 17 1.1739 0.00 0.15 0.00 -0.07 18 1.1799 0.00 0.15 0.00 -0.10 19 1.1800 0.00 0.11 0.00 0.04 20 1.2125 0.00 0.03 0.00 -0.08 21 1.2233 0.00 0.03 0.00 0.01 22 1.2233 0.00 0.09 0.00 -0.19 23 1.2288 0.00 -0.05 0.00 0.03 24 1.2341 0.00 0.12 0.00 -0.10 25 1.2342 0.00 -0.04 0.00 0.06 26 1.2396 0.00 0.05 0.00 0.01 27 1.2397 0.00 0.03 0.00 0.01 28 2.0341 0.00 -0.04 0.00 0.05 29 2.0341 0.00 0.05 0.00 0.12 30 2.0341 0.00 0.09 0.00 0.06 31 2.0342 0.00 0.02 0.00 0.13 32 8.1040 0.00 0.03 0.00 -0.01 33 8.1043 0.00 0.10 0.00 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.
07TA418 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 73.836 73.836 73.837 ecceobj 0.512 0.512 0.512 incobj 21.958 21.958 21.958 qmin 35.290 35.089 35.006 qmax 112.315 112.556 112.740 amean 72.672 72.703 72.636 amin 71.568 71.520 71.482 amax 74.197 74.236 74.253 emean 0.497 0.497 0.501 emin 0.479 0.479 0.484 emax 0.515 0.518 0.518 imean 21.247 21.223 20.742 imin 20.342 20.112 19.924 imax 22.313 22.238 21.883 excite_mean 0.615 0.615 0.614 fracstop 1.000 1.000 1.000 cjmean 2.928 2.928 2.928 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 192.5 198.8 187.1 kozaiamp 180.0 180.0 180.0