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: 04VN112 # Created Sun May 19 01:37:27 2013 # Orbit generated from Bernstein formalism # Fitting 24 observations of 25 # Arc: 3.99y # First observation: 2004/11/06 # Last observation: 2008/11/03 Preliminary a, adot, b, bdot, g, gdot: 0.000081 0.025207 -0.000099 0.009173 0.021872 0.000000 # Chi-squared of fit: 14.27 DOF: 42 RMS: 0.14 # Min/Max residuals: -0.44 0.25 # Exact a, adot, b, bdot, g, gdot: 1.773587E-05 2.502334E-02 7.209255E-06 9.081582E-03 2.146954E-02 -1.750878E-03 # Covariance matrix: 3.0270E-13 1.0272E-14 -5.2028E-14 4.4494E-14 5.4645E-13 9.8078E-13 1.0272E-14 4.8299E-13 -7.6292E-14 1.8736E-13 4.5719E-13 4.9993E-12 -5.2028E-14 -7.6292E-14 1.2929E-13 -7.0222E-14 -1.9336E-13 -9.5024E-13 4.4494E-14 1.8736E-13 -7.0222E-14 1.0427E-13 2.5702E-13 2.1123E-12 5.4645E-13 4.5719E-13 -1.9336E-13 2.5702E-13 1.7726E-12 6.3181E-12 9.8078E-13 4.9993E-12 -9.5024E-13 2.1123E-12 6.3181E-12 5.5815E-11 # lat0 lon0 xBary yBary zBary JD0 -16.494434 28.356917 -0.264030 -0.271887 -0.918669 2453315.610743 # Heliocentric elements and errors Epoch: 2453310.5000 = 2004/11/01 Mean Anomaly: 359.68726 +/- 0.002 Argument of Peri: 327.25690 +/- 0.034 Long of Asc Node: 66.00607 +/- 0.001 Inclination: 25.55927 +/- 0.000 Eccentricity: 0.85218919 +/- 0.0003 Semi-Major Axis: 320.07198641 +/- 0.7423 Time of Perihelion: 2455127.4564 +/- 8.3 Perihelion: 47.31009806 +/- 0.1538 Aphelion: 592.83387476 +/- 1.3791 Period (y) 5726.3739 +/- 19.92 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.01493046 +/- 0.0024 Ecliptic Y 21.90108791 +/- 0.0013 Ecliptic Z -13.22413273 +/- 0.0008 Ecliptic XDOT -0.00141587 +/- 0.0000 Ecliptic YDOT 0.00285545 +/- 0.0000 Ecliptic ZDOT 0.00117393 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.49452598 +/- 0.0022 Geocenter to KBO 46.57761991 +/- 0.0029 # Hcoef: 6.30
The following table shows the complete astrometric record for 04VN112. 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 (04VN112) followed by the observatory code and reference code for the source of the astrometry.
2004 11 06.11000 02 08 41.12 -04 33 02.1 22.7R 04VN112 807 Cv6209 2004 11 06.12572 02 08 41.06 -04 33 02.3 22.2I 04VN112 807 Cv6209 2004 11 14.12217 02 08 09.66 -04 34 09.7 23.1R 04VN112 807 Cv6209 2004 11 14.13784 02 08 09.60 -04 34 09.7 22.2I 04VN112 807 Cv6209 2004 11 20.07277 02 07 47.38 -04 34 38.2 23.2R 04VN112 807 Cv6209 2004 11 20.08791 02 07 47.33 -04 34 38.3 22.2I 04VN112 807 Cv6209 2004 12 07.11150 02 06 51.48 -04 34 11.5 22.6R 04VN112 807 Cv6209 2004 12 07.12746 02 06 51.43 -04 34 11.3 22.4I 04VN112 807 Cv6209 2004 12 11.09186 02 06 40.59 -04 33 40.9 22.9R 04VN112 807 Cv6209 2004 12 11.10909 02 06 40.54 -04 33 40.8 22.3I 04VN112 807 Cv6209 2004 12 15.08650 02 06 30.64 -04 33 01.0 22.8R 04VN112 807 Cv6209 2004 12 15.11395 02 06 30.58 -04 33 00.8 22.2I 04VN112 807 Cv6209 2005 12 24.09730 02 10 48.32 -03 32 10.6 22.8R 04VN112 807 Cv6209 2005 12 24.11337 02 10 48.28 -03 32 10.3 22.4I 04VN112 807 Cv6209 2005 12 29.08601 02 10 40.03 -03 30 48.5 22.9R 04VN112 807 Cv6209 2005 12 29.11996 02 10 39.98 -03 30 48.0 22.5I 04VN112 807 Cv6209 2005 12 31.06909 02 10 37.25 -03 30 12.0 23.0R 04VN112 807 Cv6209 2007 11 08.29246 02 22 31.91 -01 34 02.1 04VN112 695 Cy4017 2007 11 08.33091 02 22 31.74 -01 34 02.4 04VN112 695 Cy4017 2008 10 24.35124 02 28 09.43 -00 30 37.5 23.0r 04VN112 695 C~0gMD 2008 10 24.45648 02 28 09.03 -00 30 39.4 23.1r 04VN112 695 C~0gMD 2008 11 03.20374 02 27 29.11 -00 33 01.0 24.2R 04VN112 250 S~06Al 2008 11 03.20999 02 27 29.09 -00 33 01.1 04VN112 250 S~06Al 2008 11 03.26971 02 27 28.84 -00 33 01.9 04VN112 250 S~06Al 2008 11 03.27666 02 27 28.83 -00 33 02.0 04VN112 250 S~06Al
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 0.14 0.00 -0.11 2 0.0000 -0.91 0.18 0.13 -0.16 3 0.0219 -464.20 -0.06 101.85 -0.17 4 0.0220 -465.04 -0.01 102.16 -0.08 5 0.0382 -786.15 -0.02 192.07 -0.02 6 0.0383 -786.89 0.05 192.23 -0.10 7 0.0849 -1559.56 -0.14 510.21 -0.04 8 0.0849 -1560.19 -0.15 510.66 0.07 9 0.0958 -1701.34 -0.05 595.96 0.14 10 0.0958 -1702.01 -0.12 596.31 0.11 11 0.1067 -1826.71 -0.09 685.47 0.16 12 0.1068 -1827.48 -0.04 685.98 0.03 13 1.1307 3065.60 0.21 2749.97 0.06 14 1.1307 3065.15 0.10 2750.46 0.16 15 1.1444 2978.28 0.15 2870.50 0.06 16 1.1444 2977.76 0.14 2871.23 -0.05 17 1.1498 2952.15 0.06 2919.32 0.12 18 3.0039 15465.07 -0.32 5669.84 -0.23 19 3.0040 15462.57 -0.44 5670.46 -0.05 20 3.9651 21602.04 ( -0.33) 7450.93 ( 0.54) 21 3.9654 21595.68 0.06 7451.28 0.17 22 3.9920 20978.86 0.00 7530.60 0.05 23 3.9921 20978.54 0.08 7530.61 0.00 24 3.9922 20974.71 0.00 7531.19 0.00 25 3.9922 20974.53 0.25 7531.15 -0.11
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.
04VN112 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 357.510 357.504 357.516 ecceobj 0.868 0.868 0.868 incobj 25.507 25.507 25.507 qmin 44.082 44.090 44.088 qmax 667.688 667.677 667.699 amean 328.313 328.313 328.313 amin 312.305 312.478 312.174 amax 357.509 357.503 357.515 emean 0.856 0.856 0.856 emin 0.846 0.846 0.846 emax 0.868 0.868 0.868 imean 24.237 24.234 24.236 imin 23.388 23.380 23.383 imax 25.082 25.082 25.082 excite_mean 0.949 0.949 0.949 fracstop 1.000 1.000 1.000 cjmean 3.205 3.205 3.205 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 328.1 328.0 328.1 kozaiamp 2.3 2.0 2.1