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: 07XV50
# Created Thu May 24 01:37:48 2012
# Orbit generated from Bernstein formalism
# Fitting 24 observations of 24
# Arc: 3.97y
# First observation: 2007/12/13
# Last observation: 2011/12/01
Preliminary a, adot, b, bdot, g, gdot:
0.000006 0.018765 -0.000011 0.007744 0.021987 0.000000
# Chi-squared of fit: 216.85 DOF: 42 RMS: 0.53
# Min/Max residuals: -1.85 1.03
# Exact a, adot, b, bdot, g, gdot:
1.700836E-05 1.881199E-02 5.087638E-06 7.760301E-03 2.210063E-02 1.240489E-03
# Covariance matrix:
1.4606E-13 -2.1232E-13 2.1718E-14 -6.6357E-14 4.4143E-14 -2.1529E-12
-2.1232E-13 7.3003E-13 -8.5760E-14 2.6087E-13 -1.9755E-13 8.4608E-12
2.1718E-14 -8.5760E-14 1.1163E-13 -6.7408E-14 2.4806E-14 -1.0384E-12
-6.6357E-14 2.6087E-13 -6.7408E-14 1.2973E-13 -6.2707E-14 3.1781E-12
4.4143E-14 -1.9755E-13 2.4806E-14 -6.2707E-14 3.1397E-13 -1.9997E-12
-2.1529E-12 8.4608E-12 -1.0384E-12 3.1781E-12 -1.9997E-12 1.0312E-10
# lat0 lon0 xBary yBary zBary JD0
4.822527 64.535241 -0.276265 0.079954 -0.946727 2454447.742084
# Heliocentric elements and errors
Epoch: 2454440.5000 = 2007/12/06
Mean Anomaly: 93.60558 +/- 0.212
Argument of Peri: 270.96362 +/- 0.185
Long of Asc Node: 53.60510 +/- 0.000
Inclination: 22.91637 +/- 0.000
Eccentricity: 0.06716874 +/- 0.0005
Semi-Major Axis: 45.79210462 +/- 0.0095
Time of Perihelion: 2425010.9525 +/- 66.0
Perihelion: 42.71630654 +/- 0.0232
Aphelion: 48.86790270 +/- 0.0237
Period (y) 309.8804 +/- 0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 19.54368266 +/- 0.0005
Ecliptic Y 41.67909774 +/- 0.0010
Ecliptic Z 3.80416951 +/- 0.0001
Ecliptic XDOT -0.00206660 +/- 0.0000
Ecliptic YDOT 0.00106646 +/- 0.0000
Ecliptic ZDOT 0.00097076 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.19063136 +/- 0.0010
Geocenter to KBO 45.24757275 +/- 0.0011
# Hcoef: 4.93
The following table shows the complete astrometric record for 07XV50. 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 (07XV50) followed by the observatory code and reference code for the source of the astrometry.
2007 12 13.24133 04 06 21.12 +25 47 05.7 21.2R 07XV50 675 Cx7660 2007 12 13.28509 04 06 20.93 +25 47 05.5 21.3R 07XV50 675 Cx7660 2007 12 14.24781 04 06 16.25 +25 46 56.4 21.3R 07XV50 675 Cx7660 2007 12 14.29151 04 06 16.10 +25 46 55.8 21.3R 07XV50 675 Cx7660 2007 12 30.13671 04 05 05.68 +25 44 13.7 07XV50 675 Cx7660 2007 12 30.19125 04 05 05.51 +25 44 13.0 07XV50 675 Cx7660 2007 12 30.24506 04 05 05.27 +25 44 12.6 07XV50 675 Cx7660 2008 01 10.09723 04 04 25.26 +25 42 28.0 07XV50 675 Cx7660 2008 01 10.15189 04 04 25.06 +25 42 27.6 07XV50 675 Cx7660 2008 02 01.11721 04 03 32.33 +25 39 42.1 07XV50 675 Cx7660 2008 02 01.21458 04 03 32.19 +25 39 41.4 07XV50 675 Cx7660 2008 10 25.48037 04 14 34.51 +26 30 24.7 07XV50 695 C~01NQ 2008 10 25.49934 04 14 34.43 +26 30 24.6 07XV50 695 C~01NQ 2008 10 27.46652 04 14 26.12 +26 30 20.7 07XV50 695 C~01NQ 2008 10 27.49032 04 14 26.03 +26 30 20.8 07XV50 695 C~01NQ 2008 11 17.24287 04 12 48.55 +26 28 47.7 07XV50 675 C~01NQ 2008 11 17.29708 04 12 48.24 +26 28 46.9 07XV50 675 C~01NQ 2009 02 24.16734 04 07 39.1 +26 16 15.2 07XV50 675 YC~05YK 2009 10 18.61277 04 19 25.05 +27 07 21.8 07XV50 568 C~0AbP 2009 10 18.63126 04 19 24.97 +27 07 21.8 07XV50 568 C~0AbP 2011 12 01.204795 04 24 58.41 +28 17 44.1 21.7V 07XV50 H21 C~0b3K 2011 12 01.224046 04 24 58.32 +28 17 44.1 21.4V 07XV50 H21 C~0b3K 2011 12 01.243702 04 24 58.21 +28 17 43.9 21.5V 07XV50 H21 C~0b3K 2011 12 01.260305 04 24 58.12 +28 17 43.8 21.5V 07XV50 H21 C~0b3K
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 -0.73 0.00 0.10 2 0.0001 -2.56 -0.37 0.29 0.27 3 0.0028 -66.35 -1.08 3.37 1.03 4 0.0029 -68.45 -0.29 3.16 0.71 5 0.0463 -1033.23 -0.24 25.94 -0.21 6 0.0464 -1035.62 0.45 25.69 -0.51 7 0.0466 -1038.88 0.23 25.92 -0.33 8 0.0763 -1589.60 0.21 27.59 -0.35 9 0.0764 -1592.33 0.03 27.72 -0.23 10 0.1366 -2323.77 0.33 3.91 0.17 11 0.1368 -2325.77 0.38 3.59 0.02 12 0.8686 7008.56 0.51 1345.50 0.32 13 0.8686 7007.49 0.50 1345.58 0.26 14 0.8740 6896.85 0.01 1361.21 0.22 15 0.8741 6895.67 0.21 1361.52 0.34 16 0.9309 5589.87 0.36 1500.39 0.22 17 0.9310 5585.63 -0.18 1500.34 -0.14 18 1.2017 1362.39 0.23 1519.75 0.48 19 1.8491 11226.75 -0.05 2873.11 -1.85 20 1.8491 11225.70 -0.20 2873.28 -1.84 21 3.9670 16296.23 -0.14 6349.82 0.27 22 3.9671 16295.05 0.03 6350.00 0.38 23 3.9672 16293.57 -0.07 6350.03 0.33 24 3.9672 16292.38 -0.11 6350.11 0.35
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.
07XV50 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.356 46.357 46.356 ecceobj 0.072 0.072 0.072 incobj 22.787 22.787 22.787 qmin 42.272 42.266 42.242 qmax 50.097 50.070 50.073 amean 46.045 46.045 46.045 amin 45.672 45.669 45.684 amax 46.426 46.423 46.416 emean 0.068 0.068 0.068 emin 0.058 0.058 0.058 emax 0.079 0.079 0.079 imean 21.831 21.831 21.831 imin 21.595 21.595 21.595 imax 22.106 22.105 22.106 excite_mean 0.378 0.378 0.378 fracstop 1.000 1.000 1.000 cjmean 2.945 2.945 2.945 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 174.8 174.9 174.8 kozaiamp 179.9 180.0 180.0