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: 04LV31 # Created Wed Nov 27 02:08:35 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 1.15y # First observation: 2004/06/09 # Last observation: 2005/08/03 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.021033 0.000001 -0.002398 0.022858 0.000000 # Chi-squared of fit: 10.42 DOF: 14 RMS: 0.18 # Min/Max residuals: -0.45 0.31 # Exact a, adot, b, bdot, g, gdot: 1.457990E-05 2.102695E-02 -1.322866E-06 -2.387900E-03 2.287039E-02 -7.832977E-03 # Covariance matrix: 3.3565E-13 3.2990E-12 3.4596E-14 -1.3343E-12 2.0130E-12 4.5673E-10 3.2990E-12 4.9892E-10 5.4970E-12 -2.1320E-10 2.2563E-10 7.2839E-08 3.4596E-14 5.4970E-12 2.8187E-13 -2.5619E-12 2.4696E-12 8.0589E-10 -1.3343E-12 -2.1320E-10 -2.5619E-12 9.2055E-11 -9.5745E-11 -3.1260E-08 2.0130E-12 2.2563E-10 2.4696E-12 -9.5745E-11 1.0418E-10 3.2716E-08 4.5673E-10 7.2839E-08 8.0589E-10 -3.1260E-08 3.2716E-08 1.0680E-05 # lat0 lon0 xBary yBary zBary JD0 1.388913 -90.381514 0.186312 0.024256 -0.998691 2453165.889393 # Heliocentric elements and errors Epoch: 2453160.5000 = 2004/06/04 Mean Anomaly: 305.79301 +/- 13.045 Argument of Peri: 263.72144 +/- 1.973 Long of Asc Node: 101.12121 +/- 0.018 Inclination: 6.64184 +/- 0.010 Eccentricity: 0.36115042 +/- 0.1488 Semi-Major Axis: 49.63548715 +/- 6.0459 Time of Perihelion: 2472393.1720 +/- 3012.3 Perihelion: 31.70961013 +/- 8.3326 Aphelion: 67.56136417 +/- 11.0561 Period (y) 349.7008 +/- 63.89 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -0.48735024 +/- 0.0001 Ecliptic Y -44.70681704 +/- 0.0195 Ecliptic Z 1.05981261 +/- 0.0005 Ecliptic XDOT 0.00252080 +/- 0.0000 Ecliptic YDOT 0.00090674 +/- 0.0004 Ecliptic ZDOT -0.00030839 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.72203263 +/- 0.0195 Geocenter to KBO 43.72466122 +/- 0.0195 # Hcoef: 8.74
The following table shows the complete astrometric record for 04LV31. 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 (04LV31) followed by the observatory code and reference code for the source of the astrometry.
2004 06 09.38865 17 58 21.24 -22 02 59.4 25.5R 04LV31 568 C~0fDa 2004 06 10.36210 17 58 16.57 -22 03 00.1 24.8R 04LV31 568 C~0fDa 2004 06 10.43758 17 58 16.20 -22 03 00.1 25.1R 04LV31 568 C~0fDa 2004 06 11.37750 17 58 11.70 -22 03 01.0 24.6R 04LV31 568 C~0fDa 2004 06 11.46267 17 58 11.27 -22 03 01.2 25.9R 04LV31 568 C~0fDa 2004 07 14.35245 17 55 34.28 -22 03 40.9 24.3R 04LV31 568 C~0fDa 2004 07 15.31868 17 55 30.05 -22 03 42.8 25.3R 04LV31 568 C~0fDa 2005 08 02.30309 17 59 31.39 -22 12 54.7 24.2R 04LV31 568 C~0fDa 2005 08 03.30835 17 59 27.90 -22 12 56.4 24.5R 04LV31 568 C~0fDa 2005 08 03.39259 17 59 27.60 -22 12 56.8 24.6R 04LV31 568 C~0fDa
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 -0.01 0.00 -0.07 2 0.0027 -64.92 -0.07 -0.89 -0.00 3 0.0029 -70.07 -0.09 -0.91 0.07 4 0.0054 -132.63 0.18 -2.00 -0.07 5 0.0057 -138.61 0.01 -2.21 -0.19 6 0.0957 -2320.98 -0.16 -53.43 0.30 7 0.0984 -2379.78 0.14 -55.77 -0.01 8 1.1469 975.85 -0.26 -593.45 -0.45 9 1.1497 927.39 0.14 -595.20 0.31 10 1.1499 923.22 0.12 -595.61 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.
04LV31 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0