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: 11WR74 # Created Fri Nov 22 02:09:16 2024 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 34.79d # First observation: 2011/11/25 # Last observation: 2011/12/30 Preliminary a, adot, b, bdot, g, gdot: -0.000097 0.951821 0.000136 0.011540 0.260540 0.000000 # Chi-squared of fit: 182.37 DOF: 30 RMS: 0.56 # Min/Max residuals: -1.75 1.29 # Exact a, adot, b, bdot, g, gdot: 5.149459E-05 7.423077E-01 2.944504E-06 3.604503E-02 2.299517E-01 7.433726E-02 # Covariance matrix: 2.5946E-13 7.8944E-12 -1.8287E-14 2.0937E-12 4.8137E-12 3.2439E-10 7.8944E-12 2.7066E-07 1.4569E-10 -2.8507E-08 4.1770E-08 -5.7713E-07 -1.8287E-14 1.4569E-10 2.1721E-13 -1.7729E-11 2.1864E-11 -3.7572E-10 2.0937E-12 -2.8507E-08 -1.7729E-11 3.1448E-09 -4.3176E-09 6.9413E-08 4.8137E-12 4.1770E-08 2.1864E-11 -4.3176E-09 6.5360E-09 -7.9910E-08 3.2439E-10 -5.7713E-07 -3.7572E-10 6.9413E-08 -7.9910E-08 2.1852E-06 # lat0 lon0 xBary yBary zBary JD0 -12.839678 58.775117 -0.068756 -0.218254 -0.957687 2455890.941246 # Heliocentric elements and errors Epoch: 2455890.5000 = 2011/11/25 Mean Anomaly: 7.82605 +/- 0.131 Argument of Peri: 262.41873 +/- 0.372 Long of Asc Node: 135.07439 +/- 0.018 Inclination: 10.81158 +/- 0.001 Eccentricity: 0.43454571 +/- 0.0005 Semi-Major Axis: 9.19483145 +/- 0.0031 Time of Perihelion: 2455669.1119 +/- 3.7 Perihelion: 5.19925693 +/- 0.0051 Aphelion: 13.19040596 +/- 0.0065 Period (y) 27.8820 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 2.65160938 +/- 0.0008 Ecliptic Y 4.50266322 +/- 0.0013 Ecliptic Z -0.96640727 +/- 0.0003 Ecliptic XDOT -0.00706492 +/- 0.0000 Ecliptic YDOT 0.00540605 +/- 0.0000 Ecliptic ZDOT 0.00022182 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 5.31403344 +/- 0.0011 Geocenter to KBO 4.34873877 +/- 0.0015 # Hcoef: 15.19
The following table shows the complete astrometric record for 11WR74. 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 (11WR74) followed by the observatory code and reference code for the source of the astrometry.
2011 11 25.44048 03 57 26.872 +07 20 25.28 22.5w 11WR74 F51 C~0b6m 2011 11 25.45800 03 57 26.388 +07 20 24.42 22.4w 11WR74 F51 C~0b6m 2011 11 25.47283 03 57 25.972 +07 20 23.90 22.3w 11WR74 F51 C~0b6m 2011 11 25.48737 03 57 25.578 +07 20 23.24 22.5w 11WR74 F51 C~0b6m 2011 11 27.353521 03 56 35.161 +07 18 56.11 21.5R 11WR74 568 C~0b6m 2011 11 27.357080 03 56 35.095 +07 18 55.60 21.6R 11WR74 568 C~0b6m 2011 11 27.364461 03 56 34.888 +07 18 55.25 22.0R 11WR74 568 C~0b6m 2011 11 29.42475 03 55 39.57 +07 17 30.2 21.8V 11WR74 G51 C~0b6m 2011 11 29.43783 03 55 39.19 +07 17 29.5 21.8V 11WR74 G51 C~0b6m 2011 11 30.31891 03 55 15.62 +07 17 00.6 21.8R 11WR74 H01 C~0b6n 2011 11 30.32895 03 55 15.37 +07 17 00.1 22.4R 11WR74 H01 C~0b6n 2011 11 30.33375 03 55 15.23 +07 16 59.9 21.7R 11WR74 H01 C~0b6n 2011 11 30.35898 03 55 14.55 +07 16 59.1 21.6R 11WR74 H01 C~0b6n 2011 12 24.14091 03 46 10.78 +07 21 17.7 23.0R 11WR74 688 C~0bek 2011 12 24.20494 03 46 09.63 +07 21 21.4 11WR74 688 C~0bek 2011 12 30.20000 03 44 35.62 +07 28 10.8 22.7R 11WR74 291 C~59iG 2011 12 30.21323 03 44 35.39 +07 28 11.0 22.5R 11WR74 291 C~59iG 2011 12 30.22645 03 44 35.20 +07 28 12.5 22.6R 11WR74 291 C~59iG
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 -0.10
2 0.0000 -7.22 -0.02 0.66 -0.09
3 0.0001 -13.38 -0.01 1.43 0.15
4 0.0001 -19.25 0.16 2.01 0.19
5 0.0052 -771.04 -0.52 72.92 0.77
6 0.0052 -772.11 -0.12 72.62 0.32
7 0.0053 -775.20 -0.16 72.92 0.30
8 0.0109 -1597.89 1.29 161.46 -1.62
9 0.0109 -1603.57 0.90 161.95 -1.75
10 0.0134 -1952.59 -0.55 206.99 0.58
11 0.0134 -1956.33 -0.23 207.28 0.35
12 0.0134 -1958.41 -0.38 207.52 0.35
13 0.0135 -1968.47 -0.27 208.85 0.39
14 0.0786 -9828.40 -0.11 2175.07 0.25
15 0.0788 -9844.36 0.08 2182.36 0.26
16 0.0952 -11125.97 0.46 2883.62 0.21
17 0.0952 -11129.28 -0.28 2884.55 -0.50
18 0.0952 -11131.72 -0.16 2886.63 -0.06
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.
11WR74 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 9.419 9.696 9.152 ecceobj 0.449 0.443 0.456 incobj 10.836 10.830 10.842 qmin 5.189 5.405 4.977 qmax 14.075 13.987 16.013 amean 9.564 9.696 9.895 amin 9.419 9.696 9.152 amax 9.709 9.696 10.638 emean 0.449 0.443 0.481 emin 0.449 0.443 0.456 emax 0.450 0.443 0.505 imean 9.515 9.464 9.198 imin 9.470 9.464 8.920 imax 9.559 9.464 9.476 excite_mean 0.479 0.472 0.507 fracstop 0.000 0.000 0.000 cjmean 4.137 4.110 4.047 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 278.2 258.6 266.7 kozaiamp 17.6 0.0 4.2