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: 07RT15 # Created Thu May 24 01:37:35 2012 # Orbit generated from Bernstein formalism # Fitting 20 observations of 22 # Arc: 4.78y # First observation: 2003/10/22 # Last observation: 2008/08/03 Preliminary a, adot, b, bdot, g, gdot: 0.000490 0.041867 0.000042 0.003453 0.033591 0.000000 # Chi-squared of fit: 55.30 DOF: 34 RMS: 0.29 # Min/Max residuals: -1.23 0.61 # Exact a, adot, b, bdot, g, gdot: 1.994268E-05 4.224744E-02 1.793607E-06 3.505193E-03 3.374118E-02 1.831137E-03 # Covariance matrix: 4.8929E-13 -2.1114E-13 1.3266E-15 -7.9754E-15 -7.6504E-14 -5.2708E-13 -2.1114E-13 6.1373E-13 -7.1175E-15 4.7965E-14 5.3946E-13 3.2274E-12 1.3266E-15 -7.1175E-15 4.7308E-13 -1.1546E-13 -1.7128E-15 -3.6524E-14 -7.9754E-15 4.7965E-14 -1.1546E-13 3.7002E-14 4.3790E-14 2.6611E-13 -7.6504E-14 5.3946E-13 -1.7128E-15 4.3790E-14 9.3365E-13 3.2661E-12 -5.2708E-13 3.2274E-12 -3.6524E-14 2.6611E-13 3.2661E-12 1.8103E-11 # lat0 lon0 xBary yBary zBary JD0 -12.393089 13.868213 -0.245004 -0.207281 -0.943469 2452934.727953 # Heliocentric elements and errors Epoch: 2452930.5000 = 2003/10/18 Mean Anomaly: 9.63493 +/- 0.019 Argument of Peri: 275.88920 +/- 0.032 Long of Asc Node: 82.29708 +/- 0.001 Inclination: 12.92162 +/- 0.000 Eccentricity: 0.22684242 +/- 0.0001 Semi-Major Axis: 39.28134286 +/- 0.0047 Time of Perihelion: 2450523.7885 +/- 4.8 Perihelion: 30.37066801 +/- 0.0045 Aphelion: 48.19201771 +/- 0.0063 Period (y) 246.1998 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.97881056 +/- 0.0008 Ecliptic Y 7.41148712 +/- 0.0002 Ecliptic Z -6.36063304 +/- 0.0002 Ecliptic XDOT -0.00062626 +/- 0.0000 Ecliptic YDOT 0.00337153 +/- 0.0000 Ecliptic ZDOT 0.00024606 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.58037370 +/- 0.0008 Geocenter to KBO 29.63737826 +/- 0.0008 # Hcoef: 6.92
The following table shows the complete astrometric record for 07RT15. 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 (07RT15) followed by the observatory code and reference code for the source of the astrometry.
2003 10 22.22721 01 10 15.58 -05 57 26.1 21.3R 07RT15 675 Cz3609 2003 10 22.28900 01 10 15.21 -05 57 27.9 21.8R 07RT15 675 Cz3609 2003 10 22.35265 01 10 14.82 -05 57 29.2 21.5R 07RT15 675 Cz3609 2007 09 05.39053 01 48 23.21 -01 00 13.9 21.8V 07RT15 705 Cz2999 2007 09 05.39385 01 48 23.21 -01 00 14.0 22.4 07RT15 705 Cz2999 2007 09 11.31700 01 47 59.74 -01 03 42.7 21.4R 07RT15 675 Cv5236 2007 09 11.36045 01 47 59.54 -01 03 45.4 21.9R 07RT15 675 Cv5236 2007 09 12.35634 01 47 55.28 -01 04 20.7 21.4R 07RT15 675 Cv5236 2007 09 14.34845 01 47 46.58 -01 05 33.8 21.6V 07RT15 705 Cz2999 2007 09 14.35177 01 47 46.56 -01 05 33.9 22.5 07RT15 705 Cz2999 2007 09 16.38006 01 47 37.31 -01 06 48.1 22.0V 07RT15 705 Cz2999 2007 09 16.38338 01 47 37.33 -01 06 48.3 22.8 07RT15 705 Cz2999 2007 09 19.39799 01 47 23.02 -01 08 38.8 22.1V 07RT15 705 Cz2999 2007 09 19.40131 01 47 23.00 -01 08 39.0 22.9 07RT15 705 Cz2999 2007 10 18.31528 01 44 41.44 -01 25 38.7 07RT15 675 Cx3444 2007 10 18.36904 01 44 41.11 -01 25 40.2 07RT15 675 Cx3444 2007 10 18.42292 01 44 40.72 -01 25 42.4 07RT15 675 Cx3444 2007 12 04.14350 01 40 30.79 -01 39 47.0 07RT15 675 Cx3444 2007 12 14.10656 01 39 57.07 -01 39 16.9 07RT15 675 Cx3444 2008 07 31.41417 01 57 35.86 +00 21 31.2 07RT15 675 Cz3609 2008 08 02.40157 01 57 36.49 +00 20 56.1 07RT15 675 Cz3609 2008 08 03.39818 01 57 36.64 +00 20 37.2 07RT15 675 Cz3609
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 -0.03 2 0.0002 -5.79 -0.03 0.48 -0.13 3 0.0003 -11.65 0.05 1.55 0.33 4 3.8718 38952.49 0.02 2931.37 0.01 5 3.8718 38952.45 0.21 2931.27 -0.05 6 3.8880 38532.07 ( 0.45) 2878.27 ( 1.29) 7 3.8881 38528.10 -0.20 2876.96 0.30 8 3.8908 38452.90 ( -0.09) 2869.75 ( 0.97) 9 3.8963 38298.93 0.26 2854.10 -0.06 10 3.8963 38298.61 0.20 2854.12 -0.01 11 3.9019 38136.40 -0.11 2840.76 -0.02 12 3.9019 38136.61 0.37 2840.46 -0.31 13 3.9101 37887.53 0.17 2823.80 -0.04 14 3.9101 37887.17 0.08 2823.73 -0.10 15 3.9893 35175.98 -0.24 2847.94 -0.28 16 3.9894 35170.69 -0.17 2848.53 -0.09 17 3.9896 35164.27 -1.23 2848.83 -0.19 18 4.1175 31291.57 0.20 3565.17 -0.31 19 4.1448 30829.29 0.54 3795.19 0.12 20 4.7753 48947.97 -0.15 4180.80 0.61 21 4.7808 48942.30 0.00 4143.81 0.41 22 4.7835 48936.50 0.08 4125.04 -0.14
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.
07RT15 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.777 39.792 39.763 ecceobj 0.236 0.237 0.236 incobj 12.918 12.918 12.918 qmin 28.891 28.878 28.912 qmax 50.220 50.233 50.258 amean 39.454 39.454 39.454 amin 39.317 39.317 39.314 amax 39.615 39.607 39.613 emean 0.244 0.244 0.244 emin 0.214 0.214 0.215 emax 0.268 0.268 0.269 imean 9.789 9.773 9.806 imin 8.322 8.294 8.351 imax 11.592 11.593 11.591 excite_mean 0.298 0.298 0.298 fracstop 1.000 1.000 1.000 cjmean 2.951 2.951 2.951 libcent 0 180.2 180.1 179.7 libamp 0 63.0 62.0 64.6 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 269.3 269.3 269.3 kozaiamp 36.5 36.4 36.4