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: 04VU130 # Created Thu May 24 01:37:29 2012 # Orbit generated from Bernstein formalism # Fitting 23 observations of 23 # Arc: 4.07y # First observation: 2004/11/09 # Last observation: 2008/12/06 Preliminary a, adot, b, bdot, g, gdot: 0.000213 0.017813 0.000034 0.002508 0.020349 0.000000 # Chi-squared of fit: 36.81 DOF: 40 RMS: 0.22 # Min/Max residuals: -0.47 0.52 # Exact a, adot, b, bdot, g, gdot: 1.373120E-05 1.835514E-02 4.249968E-06 2.585443E-03 2.053526E-02 7.709625E-03 # Covariance matrix: 2.1682E-13 -2.2256E-13 1.0048E-14 -2.4322E-14 3.4023E-14 -2.5718E-12 -2.2256E-13 5.1658E-13 -2.9366E-14 7.0995E-14 -2.5898E-14 7.5037E-12 1.0048E-14 -2.9366E-14 1.5944E-13 -6.0670E-14 5.1877E-16 -4.5778E-13 -2.4322E-14 7.0995E-14 -6.0670E-14 4.5006E-14 -1.6678E-15 1.1065E-12 3.4023E-14 -2.5898E-14 5.1877E-16 -1.6678E-15 3.4095E-13 -1.9193E-13 -2.5718E-12 7.5037E-12 -4.5778E-13 1.1065E-12 -1.9193E-13 1.1694E-10 # lat0 lon0 xBary yBary zBary JD0 -0.209426 41.389101 -0.097915 -0.003507 -0.987988 2453318.888263 # Heliocentric elements and errors Epoch: 2453310.5000 = 2004/11/01 Mean Anomaly: 40.78302 +/- 0.050 Argument of Peri: 271.21602 +/- 0.014 Long of Asc Node: 42.95794 +/- 0.000 Inclination: 8.04235 +/- 0.001 Eccentricity: 0.42556653 +/- 0.0006 Semi-Major Axis: 61.87783274 +/- 0.0455 Time of Perihelion: 2433169.6414 +/- 11.3 Perihelion: 35.54469804 +/- 0.0463 Aphelion: 88.21096745 +/- 0.0753 Period (y) 486.7555 +/- 0.54 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.20563957 +/- 0.0010 Ecliptic Y 32.92443604 +/- 0.0009 Ecliptic Z -0.17779328 +/- 0.0000 Ecliptic XDOT -0.00084708 +/- 0.0000 Ecliptic YDOT 0.00250922 +/- 0.0000 Ecliptic ZDOT 0.00034103 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 49.68208646 +/- 0.0010 Geocenter to KBO 48.69673438 +/- 0.0014 # Hcoef: 7.09
The following table shows the complete astrometric record for 04VU130. 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 (04VU130) followed by the observatory code and reference code for the source of the astrometry.
2004 11 09.38752 02 36 05.92 +15 02 55.9 24.2r 04VU130 568 C~0D3L 2004 11 09.41397 02 36 05.80 +15 02 55.5 23.8r 04VU130 568 C~0D3L 2004 11 09.43995 02 36 05.69 +15 02 55.1 24.2r 04VU130 568 C~0D3L 2004 11 10.30379 02 36 02.11 +15 02 39.5 24.3r 04VU130 568 C~0D3L 2005 01 05.22568 02 33 08.33 +14 50 30.6 23.6i 04VU130 568 C~0WzI 2005 01 05.28317 02 33 08.23 +14 50 30.2 23.7i 04VU130 568 C~0WzI 2005 01 05.35171 02 33 08.14 +14 50 29.8 23.4i 04VU130 568 C~0WzI 2005 10 25.50968 02 41 03.97 +15 34 57.3 04VU130 568 C~0WzI 2005 10 25.54218 02 41 03.84 +15 34 57.0 04VU130 568 C~0WzI 2005 10 25.57629 02 41 03.72 +15 34 56.1 04VU130 568 C~0WzI 2005 10 26.54983 02 40 59.73 +15 34 39.1 23.2r 04VU130 568 C~0WzI 2006 10 23.25324 02 45 06.56 +16 02 26.7 04VU130 675 C~0WzI 2006 10 23.29181 02 45 06.42 +16 02 26.1 23. R 04VU130 675 C~0WzI 2006 10 23.34180 02 45 06.21 +16 02 25.2 04VU130 675 C~0WzI 2006 11 25.21958 02 42 52.08 +15 53 04.3 04VU130 695 C~0WzI 2006 11 25.30950 02 42 51.71 +15 53 03.1 04VU130 695 C~0WzI 2007 09 12.44494 02 51 06.80 +16 37 01.1 23.4r 04VU130 695 C~0WzI 2007 09 12.48749 02 51 06.71 +16 37 00.6 23.3r 04VU130 695 C~0WzI 2007 11 08.20228 02 47 52.23 +16 24 10.2 23.9r 04VU130 695 C~0WzI 2007 11 08.26346 02 47 51.97 +16 24 09.2 24.0r 04VU130 695 C~0WzI 2008 12 06.12735 02 49 47.77 +16 42 08.5 04VU130 675 C~0WzI 2008 12 06.16505 02 49 47.65 +16 42 08.2 23.6R 04VU130 675 C~0WzI 2008 12 06.21054 02 49 47.48 +16 42 07.9 23.8R 04VU130 675 C~0WzI
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 0.08 0.00 -0.47 2 0.0001 -1.78 -0.01 0.16 -0.36 3 0.0001 -3.42 0.01 0.27 -0.29 4 0.0025 -57.56 -0.11 1.46 -0.34 5 0.1556 -2678.08 0.16 91.00 0.20 6 0.1558 -2679.58 -0.05 91.08 0.16 7 0.1560 -2680.95 0.12 91.10 0.06 8 0.9586 4694.05 -0.29 508.30 0.23 9 0.9587 4692.17 -0.14 508.58 0.46 10 0.9588 4690.24 0.06 508.25 0.08 11 0.9614 4630.12 -0.02 509.55 -0.01 12 1.9517 8533.57 -0.10 1026.70 0.52 13 1.9518 8531.46 0.15 1026.73 0.48 14 1.9520 8528.30 0.05 1026.77 0.44 15 2.0420 6512.05 0.07 1072.41 -0.19 16 2.0422 6506.60 -0.08 1072.88 0.13 17 2.8393 14117.88 0.15 1477.75 -0.19 18 2.8394 14116.49 0.09 1477.65 -0.37 19 2.9947 11205.64 -0.02 1562.70 -0.15 20 2.9949 11201.75 -0.04 1562.85 -0.10 21 4.0732 13117.70 -0.20 2105.23 -0.32 22 4.0733 13115.96 0.06 2105.45 -0.16 23 4.0734 13113.53 0.06 2105.88 0.20
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.
04VU130 quality flag:3 Type: 3:1EE 3:1EE 3:1EE axisobj 62.980 63.120 62.840 ecceobj 0.432 0.434 0.430 incobj 8.000 8.000 8.000 qmin 35.487 35.278 35.463 qmax 90.857 90.826 91.091 amean 62.629 62.628 62.631 amin 62.158 62.275 62.030 amax 63.173 63.061 63.304 emean 0.432 0.433 0.431 emin 0.427 0.427 0.423 emax 0.438 0.440 0.439 imean 7.368 7.355 7.437 imin 7.244 7.209 7.092 imax 7.509 7.493 7.733 excite_mean 0.450 0.452 0.450 fracstop 1.000 1.000 1.000 cjmean 3.061 3.059 3.062 libcent 0 180.1 180.3 179.0 libamp 0 159.8 150.0 172.3 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 201.5 214.8 193.3 kozaiamp 179.9 180.0 180.0