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: 12UO177 # Created Fri Nov 22 02:09:19 2024 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 1.46y # First observation: 2011/09/01 # Last observation: 2013/02/14 Preliminary a, adot, b, bdot, g, gdot: -0.000094 0.022866 -0.000016 -0.001450 0.023823 0.000000 # Chi-squared of fit: 7.71 DOF: 44 RMS: 0.10 # Min/Max residuals: -0.17 0.30 # Exact a, adot, b, bdot, g, gdot: 1.560342E-05 2.279033E-02 -1.177242E-06 -1.506990E-03 2.391312E-02 1.099471E-03 # Covariance matrix: 7.0343E-13 8.5247E-15 2.2154E-14 -8.7345E-14 6.3383E-13 2.8938E-11 8.5247E-15 4.7519E-13 1.4685E-14 -5.9818E-14 4.4928E-13 2.0080E-11 2.2154E-14 1.4685E-14 3.1626E-13 -2.7493E-13 3.3536E-14 2.2222E-12 -8.7345E-14 -5.9818E-14 -2.7493E-13 3.0543E-13 -1.3714E-13 -7.6100E-12 6.3383E-13 4.4928E-13 3.3536E-14 -1.3714E-13 1.0341E-12 4.6107E-11 2.8938E-11 2.0080E-11 2.2222E-12 -7.6100E-12 4.6107E-11 2.3639E-09 # lat0 lon0 xBary yBary zBary JD0 16.312803 33.383738 0.824468 0.161965 -0.553554 2455805.915216 # Heliocentric elements and errors Epoch: 2455800.5000 = 2011/08/27 Mean Anomaly: 113.52408 +/- 1.701 Argument of Peri: 344.90276 +/- 1.692 Long of Asc Node: 289.98632 +/- 0.005 Inclination: 16.44330 +/- 0.000 Eccentricity: 0.03196522 +/- 0.0019 Semi-Major Axis: 41.81416854 +/- 0.0043 Time of Perihelion: 2424656.8777 +/- 466.5 Perihelion: 40.47756930 +/- 0.0780 Aphelion: 43.15076779 +/- 0.0781 Period (y) 270.3917 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.45112269 +/- 0.0014 Ecliptic Y 21.71398644 +/- 0.0009 Ecliptic Z 11.74588516 +/- 0.0005 Ecliptic XDOT -0.00129758 +/- 0.0000 Ecliptic YDOT 0.00227731 +/- 0.0000 Ecliptic ZDOT -0.00013017 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.38328538 +/- 0.0013 Geocenter to KBO 41.81804573 +/- 0.0018 # Hcoef: 8.22
The following table shows the complete astrometric record for 12UO177. 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 (12UO177) followed by the observatory code and reference code for the source of the astrometry.
2011 09 01.41445 01 39 47.216 +27 53 21.89 24.5r 12UO177 568 C~1C6U 2011 09 05.44269 01 39 34.270 +27 53 29.75 24.5r 12UO177 568 C~1C6U 2011 11 24.38928 01 33 27.327 +27 24 37.10 24.6r 12UO177 568 C~1C6U 2011 12 01.38909 01 33 01.658 +27 20 27.66 24.2r 12UO177 568 C~1C6U 2011 12 01.42393 01 33 01.541 +27 20 26.49 24.5r 12UO177 568 C~1C6U 2012 01 28.27120 01 32 18.456 +26 53 48.40 24.4r 12UO177 568 C~1C6U 2012 08 21.50331 01 45 52.136 +28 16 22.48 24.1r 12UO177 568 C~1C6U 2012 08 28.43740 01 45 35.449 +28 17 21.16 12UO177 568 C~1C6U 2012 08 28.51992 01 45 35.235 +28 17 21.72 12UO177 568 C~1C6U 2012 09 12.48289 01 44 46.150 +28 17 42.56 24.8r 12UO177 568 C~1C6U 2012 09 14.45580 01 44 38.497 +28 17 34.23 24.6r 12UO177 568 C~1C6U 2012 10 19.39438 01 41 53.845 +28 08 30.93 24.6r 12UO177 568 C~1C6U 2012 10 19.40301 01 41 53.802 +28 08 30.66 24.4r 12UO177 568 C~1C6U 2012 10 20.38644 01 41 48.762 +28 08 05.70 12UO177 568 C~1C6U 2012 10 21.39663 01 41 43.583 +28 07 39.51 24.2r 12UO177 568 C~1C6U 2012 10 21.43518 01 41 43.375 +28 07 38.52 24.3r 12UO177 568 C~1C6U 2012 10 21.47359 01 41 43.178 +28 07 37.45 12UO177 568 C~1C6U 2012 11 14.38458 01 39 45.608 +27 55 24.50 12UO177 568 C~1C6U 2012 11 16.30609 01 39 37.014 +27 54 18.71 24.6r 12UO177 568 C~1C6U 2013 01 14.26012 01 37 30.070 +27 23 01.83 24.5r 12UO177 568 C~1C6U 2013 01 14.29462 01 37 30.108 +27 23 01.01 24.8r 12UO177 568 C~1C6U 2013 02 09.28815 01 38 21.534 +27 16 31.39 24.5r 12UO177 568 C~1C6U 2013 02 09.29360 01 38 21.541 +27 16 31.13 24.4r 12UO177 568 C~1C6U 2013 02 10.23233 01 38 24.646 +27 16 24.60 24.5r 12UO177 568 C~1C6U 2013 02 14.22894 01 38 38.644 +27 16 03.93 12UO177 568 C~1C6U
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 -0.11 0.00 0.04
2 0.0110 -156.08 0.04 71.82 0.04
3 0.2299 -5324.88 0.01 332.79 -0.04
4 0.2491 -5737.09 -0.06 235.55 -0.03
5 0.2492 -5738.98 0.03 235.07 0.02
6 0.4075 -6891.75 0.06 -1013.95 -0.02
7 0.9722 4998.45 0.16 -504.44 0.01
8 0.9912 4814.46 -0.12 -369.42 -0.06
9 0.9914 4812.03 0.08 -367.86 -0.11
10 1.0324 4215.90 0.05 -111.43 0.19
11 1.0378 4118.76 0.03 -82.14 0.07
12 1.1334 1895.15 -0.10 216.36 -0.03
13 1.1334 1894.52 -0.09 216.32 -0.09
14 1.1361 1823.35 -0.03 217.94 0.00
15 1.1389 1750.01 0.00 219.11 0.01
16 1.1390 1747.09 -0.07 219.22 0.06
17 1.1391 1744.27 -0.05 219.20 -0.01
18 1.2046 26.33 0.07 121.63 -0.04
19 1.2098 -103.96 0.24 103.50 -0.11
20 1.3712 -2375.30 -0.08 -996.32 -0.03
21 1.3713 -2375.14 0.13 -997.27 -0.16
22 1.4425 -1888.78 0.08 -1617.74 0.30
23 1.4425 -1888.79 -0.13 -1618.01 0.15
24 1.4451 -1852.94 0.02 -1639.72 -0.13
25 1.4560 -1687.97 -0.17 -1729.44 -0.04
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.
12UO177 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.897 41.913 41.883 ecceobj 0.032 0.036 0.028 incobj 16.444 16.444 16.444 qmin 39.564 39.346 39.627 qmax 43.836 44.072 43.599 amean 41.618 41.618 41.596 amin 41.309 41.310 41.294 amax 41.943 41.942 41.895 emean 0.036 0.041 0.031 emin 0.025 0.029 0.019 emax 0.046 0.051 0.042 imean 18.086 18.069 18.091 imin 17.469 17.443 17.484 imax 18.591 18.592 18.598 excite_mean 0.312 0.313 0.312 fracstop 1.000 1.000 1.000 cjmean 2.956 2.956 2.956 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 173.7 172.7 180.8 kozaiamp 180.0 180.0 180.0