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: 04VF131 # Created Sun Dec 22 02:08:47 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 9.85y # First observation: 1999/10/13 # Last observation: 2009/08/19 # Chi-squared of fit: 68.15 DOF: 46 RMS: 0.29 # Min/Max residuals: -0.52 0.61 # Exact a, adot, b, bdot, g, gdot: 1.556021E-05 2.478101E-02 1.264455E-07 -3.049638E-04 2.502478E-02 5.369146E-03 # Covariance matrix: 4.7868E-13 -1.2838E-13 -1.3435E-15 9.5039E-16 -3.2120E-14 -3.3962E-13 -1.2838E-13 1.1490E-13 1.9199E-15 -1.3728E-15 2.2543E-13 4.9942E-13 -1.3435E-15 1.9199E-15 3.6031E-13 -5.0025E-14 4.2107E-15 9.0267E-15 9.5039E-16 -1.3728E-15 -5.0025E-14 8.3218E-15 -3.0334E-15 -6.4591E-15 -3.2120E-14 2.2543E-13 4.2107E-15 -3.0334E-15 7.7070E-13 1.1170E-12 -3.3962E-13 4.9942E-13 9.0267E-15 -6.4591E-15 1.1170E-12 2.3526E-12 # lat0 lon0 xBary yBary zBary JD0 0.431236 35.800049 0.275737 0.006938 -0.950820 2451464.880478 # Heliocentric elements and errors Epoch: 2451464.5000 = 1999/10/13 Mean Anomaly: 59.02424 +/- 0.014 Argument of Peri: 65.82422 +/- 0.024 Long of Asc Node: 246.61612 +/- 0.006 Inclination: 0.81281 +/- 0.000 Eccentricity: 0.21637371 +/- 0.0000 Semi-Major Axis: 44.06651838 +/- 0.0050 Time of Perihelion: 2433946.3006 +/- 5.1 Perihelion: 34.53168233 +/- 0.0044 Aphelion: 53.60135444 +/- 0.0064 Period (y) 292.5306 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.34915087 +/- 0.0011 Ecliptic Y 23.70974465 +/- 0.0008 Ecliptic Z 0.30076843 +/- 0.0000 Ecliptic XDOT -0.00111386 +/- 0.0000 Ecliptic YDOT 0.00255078 +/- 0.0000 Ecliptic ZDOT -0.00002887 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.91940354 +/- 0.0010 Geocenter to KBO 39.96028684 +/- 0.0014 # Hcoef: 6.80
The following table shows the complete astrometric record for 04VF131. 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 (04VF131) followed by the observatory code and reference code for the source of the astrometry.
1999 10 13.379735 02 13 22.96 +13 51 42.7 22.9V 04VF131 645 C~1ReG 1999 10 13.380565 02 13 22.96 +13 51 42.6 22.2V 04VF131 645 C~1ReG 1999 10 13.383052 02 13 22.95 +13 51 42.6 24.6V 04VF131 645 C~1ReG 2004 11 09.38913 02 38 28.71 +15 48 54.2 23.4g 04VF131 568 C~0WzI 2004 11 09.41558 02 38 28.58 +15 48 53.4 23.5g 04VF131 568 C~0WzI 2004 11 09.44156 02 38 28.45 +15 48 52.8 23.1g 04VF131 568 C~0WzI 2004 11 10.30564 02 38 24.34 +15 48 33.5 23.5g 04VF131 568 C~0WzI 2005 01 05.23577 02 35 01.29 +15 32 15.8 23.0i 04VF131 568 C~0WzI 2005 01 05.30975 02 35 01.16 +15 32 15.0 22.9i 04VF131 568 C~0WzI 2005 01 05.36168 02 35 01.08 +15 32 14.8 23.3i 04VF131 568 C~0WzI 2005 10 25.51680 02 45 02.86 +16 17 55.4 23.2R 04VF131 568 C~0WzI 2005 10 25.54911 02 45 02.70 +16 17 54.5 22.9R 04VF131 568 C~0WzI 2005 10 25.58318 02 45 02.54 +16 17 53.8 23.2R 04VF131 568 C~0WzI 2005 10 26.55648 02 44 57.92 +16 17 33.0 04VF131 568 C~0WzI 2006 10 23.28645 02 50 33.13 +16 41 19.4 04VF131 675 C~0WzI 2006 10 23.33627 02 50 32.90 +16 41 18.5 04VF131 675 C~0WzI 2006 11 24.28410 02 47 59.47 +16 29 53.8 04VF131 695 C~0WzI 2006 11 24.40133 02 47 58.92 +16 29 51.3 04VF131 695 C~0WzI 2007 09 11.50010 02 58 19.92 +17 13 43.9 23.0r 04VF131 695 C~0WzI 2007 09 12.42865 02 58 17.92 +17 13 35.5 22.9r 04VF131 695 C~0WzI 2007 09 12.47052 02 58 17.83 +17 13 35.1 23.0r 04VF131 695 C~0WzI 2007 11 08.22096 02 54 34.34 +16 57 41.8 21.7r 04VF131 695 C~0WzI 2007 11 08.33871 02 54 33.75 +16 57 39.2 21.7r 04VF131 695 C~0WzI 2009 08 18.41447 03 09 01.37 +17 55 29.3 04VF131 675 C~0WzI 2009 08 18.45196 03 09 01.37 +17 55 29.2 04VF131 675 C~0WzI 2009 08 19.44605 03 09 01.54 +17 55 30.1 04VF131 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 0.04 0.00 -0.06 2 0.0000 0.00 0.10 0.00 -0.14 3 0.0000 0.00 0.13 0.00 -0.08 4 5.0760 0.00 -0.51 0.00 -0.01 5 5.0761 0.00 -0.49 0.00 -0.21 6 5.0761 0.00 -0.52 0.00 -0.21 7 5.0785 0.00 0.53 0.00 0.18 8 5.2316 0.00 0.01 0.00 -0.30 9 5.2318 0.00 -0.00 0.00 -0.46 10 5.2320 0.00 0.14 0.00 -0.22 11 6.0346 0.00 -0.33 0.00 0.49 12 6.0347 0.00 -0.38 0.00 0.30 13 6.0348 0.00 -0.31 0.00 0.34 14 6.0374 0.00 0.13 0.00 0.61 15 7.0278 0.00 0.48 0.00 0.00 16 7.0279 0.00 0.59 0.00 0.13 17 7.1154 0.00 0.34 0.00 0.30 18 7.1157 0.00 0.31 0.00 0.26 19 7.9127 0.00 0.01 0.00 0.03 20 7.9153 0.00 0.13 0.00 -0.03 21 7.9154 0.00 0.21 0.00 -0.05 22 8.0707 0.00 -0.08 0.00 0.05 23 8.0711 0.00 -0.17 0.00 -0.05 24 9.8481 0.00 -0.02 0.00 -0.21 25 9.8482 0.00 -0.11 0.00 -0.36 26 9.8510 0.00 -0.14 0.00 -0.34
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.
04VF131 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE axisobj 44.055 44.055 44.055 ecceobj 0.216 0.216 0.216 incobj 0.812 0.812 0.812 qmin 33.692 33.702 33.682 qmax 54.376 54.416 54.322 amean 43.727 43.727 43.727 amin 43.233 43.241 43.229 amax 44.270 44.270 44.269 emean 0.208 0.208 0.208 emin 0.188 0.188 0.188 emax 0.229 0.230 0.229 imean 4.005 4.008 4.001 imin 2.256 2.256 2.256 imax 5.545 5.548 5.543 excite_mean 0.220 0.220 0.220 fracstop 1.000 1.000 1.000 cjmean 3.039 3.039 3.039 libcent 0 180.5 180.4 180.6 libamp 0 97.2 97.1 97.2 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 92.1 92.0 92.2 kozaiamp 39.4 39.3 39.5