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: 04KM19 # Created Fri Nov 22 02:08:37 2024 # Orbit generated from Bernstein formalism # Fitting 17 observations of 18 # Arc: 4.04y # First observation: 2004/05/24 # Last observation: 2008/06/08 Preliminary a, adot, b, bdot, g, gdot: 0.000032 0.037436 -0.000004 0.000717 0.031349 0.000000 # Chi-squared of fit: 12.61 DOF: 28 RMS: 0.15 # Min/Max residuals: -0.45 0.22 # Exact a, adot, b, bdot, g, gdot: 2.028311E-05 3.740718E-02 -2.564700E-07 7.178602E-04 3.046286E-02 5.861195E-04 # Covariance matrix: 2.5427E-13 -1.4101E-13 3.3025E-16 -1.3883E-15 1.1132E-13 -4.9249E-13 -1.4101E-13 4.2096E-13 -3.1936E-15 7.5427E-15 5.0227E-13 2.7371E-12 3.3025E-16 -3.1936E-15 2.0774E-13 -6.7706E-14 -5.9809E-15 -2.3083E-14 -1.3883E-15 7.5427E-15 -6.7706E-14 3.7885E-14 1.0242E-14 5.3926E-14 1.1132E-13 5.0227E-13 -5.9809E-15 1.0242E-14 1.9828E-12 3.7888E-12 -4.9249E-13 2.7371E-12 -2.3083E-14 5.3926E-14 3.7888E-12 1.9580E-11 # lat0 lon0 xBary yBary zBary JD0 -1.312448 -125.475680 -0.161820 -0.022849 -0.999506 2453149.874923 # Heliocentric elements and errors Epoch: 2453140.5000 = 2004/05/15 Mean Anomaly: 2.91587 +/- 0.016 Argument of Peri: 305.38540 +/- 0.031 Long of Asc Node: 283.73682 +/- 0.007 Inclination: 1.68872 +/- 0.000 Eccentricity: 0.29520553 +/- 0.0002 Semi-Major Axis: 47.94297356 +/- 0.0126 Time of Perihelion: 2452158.4110 +/- 5.3 Perihelion: 33.78994241 +/- 0.0115 Aphelion: 62.09600471 +/- 0.0179 Period (y) 331.9676 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -19.49813894 +/- 0.0009 Ecliptic Y -27.63253844 +/- 0.0012 Ecliptic Z -0.75186234 +/- 0.0000 Ecliptic XDOT 0.00270376 +/- 0.0000 Ecliptic YDOT -0.00200221 +/- 0.0000 Ecliptic ZDOT 0.00006342 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 33.82750212 +/- 0.0011 Geocenter to KBO 32.82686364 +/- 0.0015 # Hcoef: 8.11
The following table shows the complete astrometric record for 04KM19. 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 (04KM19) followed by the observatory code and reference code for the source of the astrometry.
2004 05 24.37418 15 27 16.95 -20 10 24.6 23.5R 04KM19 568 C~0X5X 2004 05 24.39924 15 27 16.81 -20 10 24.0 23.5R 04KM19 568 C~0X5X 2004 05 24.42176 15 27 16.67 -20 10 23.7 23.6R 04KM19 568 C~0X5X 2004 05 25.38306 15 27 11.12 -20 10 03.0 22.9g 04KM19 568 C~0X5X 2004 06 10.39312 15 25 43.14 -20 04 28.7 22.8i 04KM19 568 C~0X5X 2004 06 10.46087 15 25 42.79 -20 04 27.1 23.1i 04KM19 568 C~0X5X 2006 05 26.35069 15 45 01.82 -21 04 57.4 23.1r 04KM19 568 C~0X5X 2006 05 26.38446 15 45 01.62 -21 04 56.8 23.2r 04KM19 568 C~0X5X 2006 05 26.41780 15 45 01.42 -21 04 56.2 23.2r 04KM19 568 C~0X5X 2006 05 27.42841 15 44 55.45 -21 04 37.0 04KM19 568 C~0X5X 2006 06 30.27014 15 41 59.84 -20 54 27.9 23.4r 04KM19 568 C~0X5X 2006 07 01.29196 15 41 55.68 -20 54 12.4 23.3r 04KM19 568 C~0X5X 2006 07 01.30505 15 41 55.64 -20 54 12.1 23.4r 04KM19 568 C~0X5X 2008 05 04.36860 16 05 08.74 -21 58 32.0 04KM19 695 C~0X5X 2008 05 04.40777 16 05 08.52 -21 58 31.5 04KM19 695 C~0X5X 2008 05 05.42526 16 05 02.82 -21 58 15.9 04KM19 695 C~0X5X 2008 06 08.07373 16 01 44.60 -21 48 58.0 04KM19 807 C~0X5X 2008 06 08.16321 16 01 44.08 -21 48 56.7 04KM19 807 C~0X5X
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 -0.18 0.00 0.13
2 0.0001 -2.06 -0.08 0.10 0.22
3 0.0001 -4.04 -0.13 -0.10 0.02
4 0.0028 -84.88 0.02 0.74 0.09
5 0.0466 -1368.23 0.18 18.41 -0.10
6 0.0468 -1373.41 0.18 18.74 0.13
7 2.0040 15327.61 0.03 297.68 0.07
8 2.0041 15324.73 0.09 297.65 0.03
9 2.0042 15321.86 0.11 297.62 -0.02
10 2.0070 15235.65 0.12 298.01 -0.45
11 2.0996 12690.85 -0.18 346.43 -0.29
12 2.1024 12630.34 -0.15 348.48 -0.24
13 2.1025 12629.73 0.02 348.64 -0.10
14 3.9452 32711.20 -0.09 586.19 0.21
15 3.9453 32708.02 -0.03 586.11 0.14
16 3.9481 32625.19 ( -0.05) 586.52 ( 0.54)
17 4.0402 29746.18 0.02 607.83 0.19
18 4.0405 29738.67 0.08 607.71 -0.02
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.
04KM19 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.350 47.387 47.313 ecceobj 0.286 0.287 0.286 incobj 1.689 1.688 1.689 qmin 33.168 33.171 33.161 qmax 63.166 63.187 63.233 amean 47.798 47.798 47.798 amin 47.350 47.333 47.308 amax 48.368 48.390 48.398 emean 0.288 0.288 0.288 emin 0.272 0.270 0.268 emax 0.306 0.306 0.307 imean 4.372 4.405 4.425 imin 3.255 3.254 3.255 imax 5.372 5.476 5.539 excite_mean 0.298 0.298 0.298 fracstop 1.000 1.000 1.000 cjmean 3.035 3.036 3.036 libcent 0 287.2 287.0 286.9 libamp 0 10.1 11.8 14.2 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 187.6 187.0 185.4 kozaiamp 180.0 179.9 179.9