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: 52975 # Created Sun May 19 01:36:27 2013 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 29 observations of 29 # Arc: 9.96y # First observation: 1998/10/12 # Last observation: 2008/09/25 # Chi-squared of fit: 148.98 DOF: 52 RMS: 0.40 # Min/Max residuals: -0.78 1.40 # Exact a, adot, b, bdot, g, gdot: 2.576688E-05 9.019692E-02 5.632905E-06 2.036542E-02 5.730652E-02 2.570481E-02 # Covariance matrix: 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 # lat0 lon0 xBary yBary zBary JD0 -1.156251 48.575179 0.486855 -0.017634 -0.862333 2451098.935271 # Heliocentric elements and errors Epoch: 2451098.5000 = 1998/10/12 Mean Anomaly: 23.85348 +/- 0.000 Argument of Peri: 301.48332 +/- 0.000 Long of Asc Node: 51.95505 +/- 0.000 Inclination: 12.62018 +/- 0.000 Eccentricity: 0.38412312 +/- 0.0000 Semi-Major Axis: 26.41006264 +/- 0.0000 Time of Perihelion: 2447813.7542 +/- 0.0 Perihelion: 16.26534707 +/- 0.0000 Aphelion: 36.55477821 +/- 0.0000 Period (y) 135.7258 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 12.48701438 +/- 0.0000 Ecliptic Y 13.40567084 +/- 0.0000 Ecliptic Z -0.35201628 +/- 0.0000 Ecliptic XDOT -0.00240594 +/- 0.0000 Ecliptic YDOT 0.00379558 +/- 0.0000 Ecliptic ZDOT 0.00094795 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 18.32368279 +/- 0.0000 Geocenter to KBO 17.44993208 +/- 0.0000 # Hcoef: 9.33
The following table shows the complete astrometric record for 52975. 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 (52975) followed by the observatory code and reference code for the source of the astrometry.
1998 10 12.43454 03 05 47.77 +16 14 29.8 22.5V 52975 691 Ca4828 1998 10 12.45637 03 05 47.57 +16 14 28.9 22.5V 52975 691 Ca4828 1998 10 12.47876 03 05 47.37 +16 14 27.9 22.1V 52975 691 Ca4828 1998 10 18.36511 03 04 54.09 +16 11 49.3 21.9V 52975 691 Ca4828 1998 10 18.38773 03 04 53.91 +16 11 48.7 21.9V 52975 691 Ca4828 1998 10 18.41832 03 04 53.59 +16 11 47.5 21.8V 52975 691 Ca4828 1998 10 28.39461 03 03 15.66 +16 06 49.2 22.3V 52975 691 C48547 1998 10 28.41605 03 03 15.42 +16 06 48.3 22.3V 52975 691 C48547 1998 10 28.43854 03 03 15.20 +16 06 47.4 22.4V 52975 691 C48547 1999 10 16.37780 03 24 27.73 +18 38 35.7 22.1V 52975 691 Ca7321 1999 10 16.41973 03 24 27.41 +18 38 35.7 21.6V 52975 691 Ca7321 1999 10 16.44738 03 24 27.18 +18 38 34.8 22.1V 52975 691 Ca7321 1999 10 17.36925 03 24 19.12 +18 38 16.4 22.4V 52975 691 Ca7321 1999 10 17.39804 03 24 18.96 +18 38 15.6 22.4V 52975 691 Ca7321 1999 10 17.42572 03 24 18.64 +18 38 15.0 22.5V 52975 691 Ca7321 1999 12 05.14678 03 16 08.70 +18 16 46.8 21.1R 52975 829 Cd2213 1999 12 05.16484 03 16 08.50 +18 16 47.0 52975 829 Cd2213 2000 01 02.18515 03 12 32.07 +18 07 48.3 21.5R 52975 697 Ca8493 2000 01 02.32828 03 12 31.27 +18 07 46.5 21.6R 52975 697 Ca8493 2000 01 03.23405 03 12 26.45 +18 07 37.1 21.5R 52975 697 Ca8493 2000 11 28.30228 03 36 02.44 +20 34 42.6 21.1R 52975 695 Cc2187 2000 11 28.35573 03 36 01.88 +20 34 41.3 21.1R 52975 695 Cc2187 2000 11 29.28721 03 35 52.30 +20 34 18.1 21.2R 52975 695 Cc2187 2002 10 30.40597 04 17 32.57 +24 30 33.1 52975 695 Ch3055 2002 10 30.41891 04 17 32.45 +24 30 33.1 52975 695 Ch3055 2002 10 30.46756 04 17 32.01 +24 30 32.8 52975 695 Ch3055 2008 09 25.65865 05 56 27.98 +30 45 02.6 24.6R 52975 250 S~06FL 2008 09 25.66560 05 56 27.99 +30 45 02.7 52975 250 S~06FM 2008 09 25.67879 05 56 28.01 +30 45 02.7 52975 250 S~06FM
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 0.06 0.00 1.05 2 0.0001 0.00 -0.18 0.00 -0.36 3 0.0001 0.00 -0.20 0.00 -0.78 4 0.0162 0.00 -0.11 0.00 0.26 5 0.0163 0.00 0.44 0.00 0.30 6 0.0164 0.00 0.02 0.00 -0.02 7 0.0437 0.00 -0.31 0.00 0.07 8 0.0438 0.00 -0.59 0.00 -0.16 9 0.0438 0.00 -0.40 0.00 -0.35 10 1.0101 0.00 -0.08 0.00 -0.53 11 1.0102 0.00 0.67 0.00 0.32 12 1.0103 0.00 0.87 0.00 -0.01 13 1.0128 0.00 -0.06 0.00 0.52 14 1.0129 0.00 1.40 0.00 0.32 15 1.0130 0.00 0.31 0.00 0.30 16 1.1464 0.00 0.31 0.00 0.10 17 1.1464 0.00 -0.05 0.00 0.76 18 1.2231 0.00 0.39 0.00 0.25 19 1.2235 0.00 0.37 0.00 0.07 20 1.2260 0.00 0.40 0.00 0.10 21 2.1297 0.00 0.08 0.00 -0.25 22 2.1298 0.00 0.09 0.00 -0.20 23 2.1324 0.00 0.16 0.00 -0.21 24 4.0492 0.00 -0.44 0.00 -0.09 25 4.0492 0.00 -0.49 0.00 0.00 26 4.0494 0.00 -0.52 0.00 0.05 27 9.9554 0.00 -0.01 0.00 0.11 28 9.9555 0.00 -0.01 0.00 0.04 29 9.9555 0.00 0.01 0.00 -0.29
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.
52975 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 26.435 26.435 26.435 ecceobj 0.384 0.384 0.384 incobj 12.613 12.613 12.613 qmin 15.663 15.787 16.237 qmax 37.037 36.969 36.610 amean 25.966 26.286 26.323 amin 24.920 25.471 26.093 amax 26.637 26.674 26.637 emean 0.383 0.379 0.375 emin 0.369 0.366 0.370 emax 0.397 0.389 0.384 imean 11.643 11.301 11.832 imin 10.493 10.441 11.790 imax 13.320 12.140 11.859 excite_mean 0.433 0.426 0.427 fracstop 0.016 0.013 0.001 cjmean 2.837 2.838 2.837 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 174.7 196.3 305.2 kozaiamp 179.2 179.4 3.7