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: 05TO74 # Created Thu May 24 01:37:32 2012 # Orbit generated from Bernstein formalism # Fitting 27 observations of 29 # Arc: 2.67y # First observation: 2005/10/08 # Last observation: 2008/06/09 Preliminary a, adot, b, bdot, g, gdot: -0.000406 0.037161 -0.000001 -0.003226 0.032344 0.000000 # Chi-squared of fit: 41.20 DOF: 48 RMS: 0.22 # Min/Max residuals: -0.59 0.49 # Exact a, adot, b, bdot, g, gdot: 1.823670E-05 3.811345E-02 -5.068370E-07 -3.338141E-03 3.387990E-02 -2.115045E-03 # Covariance matrix: 1.4922E-13 -1.9539E-13 -2.0940E-15 4.7382E-15 8.6881E-14 -8.0700E-13 -1.9539E-13 8.1915E-13 8.1288E-15 -4.2757E-14 2.6438E-14 5.7532E-12 -2.0940E-15 8.1288E-15 8.5788E-14 -4.5810E-14 -9.9452E-16 5.7661E-14 4.7382E-15 -4.2757E-14 -4.5810E-14 7.3358E-14 -1.2052E-14 -3.6810E-13 8.6881E-14 2.6438E-14 -9.9452E-16 -1.2052E-14 2.5478E-13 1.1551E-12 -8.0700E-13 5.7532E-12 5.7661E-14 -3.6810E-13 1.1551E-12 4.7781E-11 # lat0 lon0 xBary yBary zBary JD0 -1.678805 7.106182 -0.135410 -0.029000 -0.993958 2453651.593193 # Heliocentric elements and errors Epoch: 2453650.5000 = 2005/10/07 Mean Anomaly: 255.47528 +/- 0.075 Argument of Peri: 308.30423 +/- 0.069 Long of Asc Node: 169.42068 +/- 0.001 Inclination: 5.26048 +/- 0.000 Eccentricity: 0.05302564 +/- 0.0002 Semi-Major Axis: 30.02941414 +/- 0.0020 Time of Perihelion: 2471102.0998 +/- 12.4 Perihelion: 28.43708524 +/- 0.0056 Aphelion: 31.62174304 +/- 0.0057 Period (y) 164.5616 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 30.24257084 +/- 0.0004 Ecliptic Y 3.90607426 +/- 0.0001 Ecliptic Z -0.86474590 +/- 0.0000 Ecliptic XDOT -0.00055631 +/- 0.0000 Ecliptic YDOT 0.00302765 +/- 0.0000 Ecliptic ZDOT -0.00026462 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.50603698 +/- 0.0004 Geocenter to KBO 29.51602270 +/- 0.0004 # Hcoef: 8.73
The following table shows the complete astrometric record for 05TO74. 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 (05TO74) followed by the observatory code and reference code for the source of the astrometry.
2005 10 08.09245 00 28 45.27 +01 16 41.8 05TO74 304 Co7672 2005 10 08.13089 00 28 45.05 +01 16 40.4 22.9R 05TO74 304 Co7672 2005 10 08.16274 00 28 44.84 +01 16 39.2 22.9R 05TO74 304 Co7672 2005 10 25.11067 00 27 08.59 +01 06 03.3 05TO74 304 Co7672 2005 10 25.14367 00 27 08.41 +01 06 01.9 23.0R 05TO74 304 C56101 2005 11 03.03811 00 26 23.50 +01 01 11.9 05TO74 304 Cq3855 2005 11 04.03612 00 26 18.80 +01 00 41.4 05TO74 304 Cq3855 2005 11 04.06612 00 26 18.67 +01 00 40.4 05TO74 304 Cq3855 2005 11 28.04168 00 24 52.55 +00 51 43.3 05TO74 304 Cq3855 2005 11 28.09478 00 24 52.40 +00 51 42.7 23.2R 05TO74 304 Cq3855 2005 11 30.02868 00 24 48.05 +00 51 17.1 05TO74 304 Cq3855 2005 12 01.14645 00 24 45.72 +00 51 03.4 22.6R 05TO74 695 Cp9909 2005 12 02.14382 00 24 43.76 +00 50 52.1 05TO74 695 Cp9909 2005 12 02.18322 00 24 43.68 +00 50 51.6 05TO74 695 Cp9909 2005 12 24.29398 00 24 31.31 +00 50 07.8 05TO74 568 Cq3855 2005 12 25.32600 00 24 32.16 +00 50 15.3 05TO74 568 Cq3855 2005 12 26.34108 00 24 33.16 +00 50 23.7 05TO74 568 Cq3855 2006 06 01.59826 00 40 52.82 +02 32 01.0 23.3R 05TO74 568 Cr3926 2006 06 01.61088 00 40 52.87 +02 32 01.6 05TO74 568 Cr3926 2006 06 02.61517 00 40 57.68 +02 32 27.0 05TO74 568 Cr3926 2006 11 12.12222 00 34 00.034 +01 37 50.66 23.3R 05TO74 304 Cs8726 2006 11 13.02638 00 33 56.224 +01 37 27.12 05TO74 304 Cs8726 2006 11 13.03958 00 33 56.220 +01 37 26.42 05TO74 304 Cs8726 2007 09 18.41666 00 47 27.83 +02 52 26.0 05TO74 675 Cy6770 2007 09 18.44556 00 47 27.65 +02 52 24.8 05TO74 675 Cy6770 2008 06 09.08573 00 57 31.49 +03 53 26.9 25.2R 05TO74 250 S~06Av 2008 06 09.09198 00 57 31.51 +03 53 27.0 05TO74 250 S~06Av 2008 06 09.09823 00 57 31.54 +03 53 27.2 05TO74 250 S~06Av 2008 06 09.10448 00 57 31.57 +03 53 27.3 05TO74 250 S~06Av
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 -0.09 0.00 -0.22 2 0.0001 -3.58 0.12 0.02 -0.17 3 0.0002 -6.95 -0.09 0.16 -0.01 4 0.0466 -1584.22 0.28 -14.06 0.04 5 0.0467 -1587.25 0.17 -14.28 -0.19 6 0.0710 -2320.63 -0.08 -14.67 0.49 7 0.0738 -2397.45 -0.25 -14.85 0.17 8 0.0738 -2399.63 -0.11 -14.99 0.00 9 0.1395 -3798.70 0.07 1.87 -0.21 10 0.1396 -3801.01 -0.13 2.21 0.04 11 0.1449 -3871.08 0.12 4.47 0.03 12 0.1480 -3908.61 0.20 5.70 0.14 13 0.1507 -3940.09 0.16 6.93 0.11 14 0.1508 -3941.39 0.12 6.95 0.05 15 0.2114 -4129.20 0.42 40.02 0.06 16 0.2142 -4114.52 -0.34 41.88 0.23 17 0.2170 -4097.42 -0.59 43.67 0.38 18 0.6475 11818.19 0.11 -145.15 -0.53 19 0.6476 11819.12 0.07 -144.90 -0.21 20 0.6503 11895.63 -0.23 -149.89 -0.34 21 1.0952 4838.55 0.12 -696.53 0.05 22 1.0977 4776.73 -0.33 -695.63 0.24 23 1.0977 4776.40 0.25 -696.25 -0.40 24 1.9448 17773.48 ( 1.31) -1346.49 ( -1.22) 25 1.9448 17770.50 ( 1.10) -1346.54 ( -1.20) 26 2.6694 27644.58 0.08 -1515.11 0.04 27 2.6694 27644.90 -0.06 -1515.14 0.05 28 2.6694 27645.40 -0.01 -1515.13 0.09 29 2.6694 27645.86 -0.01 -1515.21 0.05
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.
05TO74 quality flag:3 Type: 1:1 1:1 1:1 axisobj 30.316 30.322 30.310 ecceobj 0.052 0.052 0.052 incobj 5.238 5.238 5.238 qmin 27.975 27.999 28.033 qmax 32.343 32.311 32.254 amean 30.107 30.107 30.107 amin 30.002 29.992 30.019 amax 30.246 30.255 30.219 emean 0.052 0.051 0.051 emin 0.033 0.033 0.033 emax 0.070 0.069 0.069 imean 4.696 4.673 4.697 imin 4.504 4.500 4.501 imax 4.883 4.853 4.881 excite_mean 0.097 0.096 0.097 fracstop 1.000 1.000 1.000 cjmean 2.992 2.992 2.992 libcent 0 62.1 62.3 61.2 libamp 0 16.8 18.1 13.6 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 180.0 179.3 179.8 kozaiamp 180.0 180.0 179.9