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: 04FW164 # Created Thu May 24 01:37:26 2012 # Orbit generated from Bernstein formalism # Fitting 21 observations of 21 # Arc: 2.27y # First observation: 2003/04/26 # Last observation: 2005/08/02 Preliminary a, adot, b, bdot, g, gdot: 0.000522 0.034807 0.000164 0.005468 0.031816 0.000000 # WARNING -- MRQMIN stopped after 17 iterations # Chi-squared of fit: 179.54 DOF: 36 RMS: 0.52 # Min/Max residuals: -1.17 1.13 # Exact a, adot, b, bdot, g, gdot: 1.878175E-05 3.569791E-02 -2.529024E-06 5.724297E-03 3.088617E-02 -1.112925E-03 # Covariance matrix: 4.7984E-13 -7.2035E-13 4.1493E-14 -1.0265E-13 -2.7130E-13 -7.0703E-12 -7.2035E-13 1.9935E-12 -1.5574E-13 3.8791E-13 3.0179E-13 2.7005E-11 4.1493E-14 -1.5574E-13 2.7186E-13 -1.8415E-13 -2.8950E-15 -2.3883E-12 -1.0265E-13 3.8791E-13 -1.8415E-13 2.0585E-13 4.6098E-15 5.9654E-12 -2.7130E-13 3.0179E-13 -2.8950E-15 4.6098E-15 7.1952E-13 3.7029E-14 -7.0703E-12 2.7005E-11 -2.3883E-12 5.9654E-12 3.7029E-14 4.1712E-10 # lat0 lon0 xBary yBary zBary JD0 -0.266670 -164.236899 -0.346772 -0.004402 -0.945421 2452755.824823 # Heliocentric elements and errors Epoch: 2452750.5000 = 2003/04/21 Mean Anomaly: 354.56411 +/- 0.167 Argument of Peri: 5.94600 +/- 0.234 Long of Asc Node: 197.96899 +/- 0.000 Inclination: 9.10963 +/- 0.001 Eccentricity: 0.16084274 +/- 0.0001 Semi-Major Axis: 39.66436032 +/- 0.0051 Time of Perihelion: 2454128.2390 +/- 42.3 Perihelion: 33.28463592 +/- 0.0053 Aphelion: 46.04408471 +/- 0.0067 Period (y) 249.8095 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -31.97664864 +/- 0.0009 Ecliptic Y -9.38233200 +/- 0.0003 Ecliptic Z -0.15075305 +/- 0.0000 Ecliptic XDOT 0.00094614 +/- 0.0000 Ecliptic YDOT -0.00302414 +/- 0.0000 Ecliptic ZDOT 0.00050806 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.32501970 +/- 0.0008 Geocenter to KBO 32.37694786 +/- 0.0009 # Hcoef: 8.07
The following table shows the complete astrometric record for 04FW164. 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 (04FW164) followed by the observatory code and reference code for the source of the astrometry.
2003 04 26.32408 12 57 39.91 -06 26 58.6 22.7R 04FW164 568 Cq9909 2003 04 26.36628 12 57 39.69 -06 26 57.1 22.6R 04FW164 568 Cq9909 2003 04 26.40867 12 57 39.46 -06 26 55.6 22.5R 04FW164 568 Cq9909 2004 03 20.57450 13 09 00.65 -07 17 45.3 04FW164 568 Cq9909 2004 03 29.52259 13 08 13.60 -07 12 26.1 23.3R 04FW164 568 Cq9909 2004 03 29.54560 13 08 13.43 -07 12 25.2 23.2R 04FW164 568 Cq9909 2004 03 29.57409 13 08 13.29 -07 12 24.2 23.6R 04FW164 568 Cq9909 2004 04 15.29003 13 06 42.28 -07 02 08.3 04FW164 675 Cq9909 2004 04 15.33913 13 06 42.00 -07 02 06.2 04FW164 675 Cq9909 2004 04 15.38135 13 06 41.76 -07 02 05.0 04FW164 675 Cq9909 2004 04 16.24938 13 06 37.08 -07 01 32.4 04FW164 675 Cq9909 2004 05 24.19250 13 03 43.16 -06 41 31.6 04FW164 695 Cq9909 2004 05 24.24012 13 03 43.01 -06 41 30.8 04FW164 695 Cq9909 2004 05 24.29308 13 03 42.83 -06 41 29.3 04FW164 695 Cq9909 2005 07 08.28030 13 10 46.54 -07 01 35.5 22.9r 04FW164 568 Cq9909 2005 08 01.97568 13 11 43.10 -07 06 17.5 04FW164 309 Cq9909 2005 08 01.97898 13 11 43.12 -07 06 17.8 04FW164 309 Cq9909 2005 08 01.98307 13 11 43.12 -07 06 17.8 04FW164 309 Cq9909 2005 08 02.97488 13 11 46.72 -07 06 37.3 04FW164 309 Cq9909 2005 08 02.97822 13 11 46.72 -07 06 37.8 04FW164 309 Cq9909 2005 08 02.98225 13 11 46.73 -07 06 37.4 04FW164 309 Cq9909
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 -0.10 0.00 1.13 2 0.0001 -3.60 -0.15 0.12 1.13 3 0.0002 -7.35 -0.32 0.18 1.08 4 0.9014 10541.23 -0.29 1064.44 -0.49 5 0.9259 9770.48 0.52 1093.61 -0.52 6 0.9260 9767.79 -0.11 1093.48 -0.71 7 0.9261 9765.48 0.12 1093.61 -0.66 8 0.9718 8275.53 0.25 1147.48 -1.03 9 0.9720 8270.87 0.01 1147.84 -0.80 10 0.9721 8267.10 0.03 1147.58 -1.17 11 0.9745 8190.14 -0.27 1151.17 -0.46 12 1.0784 5334.63 0.07 1272.05 0.12 13 1.0785 5332.25 0.39 1271.93 -0.12 14 1.0786 5329.20 0.33 1272.30 0.10 15 2.2011 11634.95 0.57 2562.21 0.48 16 2.2687 12524.12 -0.19 2620.60 0.62 17 2.2687 12524.51 0.02 2620.44 0.45 18 2.2687 12524.51 -0.21 2620.44 0.44 19 2.2715 12581.70 -0.14 2622.70 0.35 20 2.2715 12581.89 -0.14 2622.24 -0.12 21 2.2715 12581.88 -0.39 2622.66 0.30
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.
04FW164 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.269 39.284 39.255 ecceobj 0.153 0.153 0.153 incobj 9.140 9.141 9.140 qmin 32.889 32.888 32.839 qmax 46.312 46.351 46.343 amean 39.456 39.456 39.456 amin 39.306 39.292 39.317 amax 39.614 39.627 39.602 emean 0.155 0.155 0.155 emin 0.139 0.139 0.138 emax 0.169 0.170 0.170 imean 9.917 9.900 9.940 imin 9.258 9.258 9.233 imax 10.637 10.583 10.662 excite_mean 0.232 0.232 0.232 fracstop 1.000 1.000 1.000 cjmean 2.991 2.991 2.991 libcent 0 180.6 180.3 180.2 libamp 0 79.3 84.8 73.6 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 179.9 183.3 181.8 kozaiamp 180.0 180.0 180.0