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: 12UM177 # Created Fri Nov 22 02:09:19 2024 # Orbit generated from Bernstein formalism # Fitting 19 observations of 19 # Arc: 1.46y # First observation: 2011/08/31 # Last observation: 2013/02/14 Preliminary a, adot, b, bdot, g, gdot: -0.000093 0.024181 -0.000020 -0.001544 0.024273 0.000000 # Chi-squared of fit: 7.81 DOF: 32 RMS: 0.11 # Min/Max residuals: -0.27 0.25 # Exact a, adot, b, bdot, g, gdot: 1.566182E-05 2.409374E-02 -1.431106E-06 -1.598483E-03 2.432521E-02 1.425493E-03 # Covariance matrix: 4.8652E-13 6.5044E-14 4.6312E-15 -5.0325E-14 4.6763E-13 2.2017E-11 6.5044E-14 1.1557E-12 1.2455E-14 -1.1796E-13 1.0515E-12 5.1065E-11 4.6312E-15 1.2455E-14 3.2983E-13 -2.9579E-13 9.7413E-15 1.1557E-12 -5.0325E-14 -1.1796E-13 -2.9579E-13 3.5972E-13 -1.4138E-13 -8.0257E-12 4.6763E-13 1.0515E-12 9.7413E-15 -1.4138E-13 1.4048E-12 6.2957E-11 2.2017E-11 5.1065E-11 1.1557E-12 -8.0257E-12 6.2957E-11 3.3702E-09 # lat0 lon0 xBary yBary zBary JD0 16.040084 31.418580 0.813726 0.163611 -0.569191 2455804.994306 # Heliocentric elements and errors Epoch: 2455800.5000 = 2011/08/27 Mean Anomaly: 36.62522 +/- 1.428 Argument of Peri: 60.77005 +/- 1.695 Long of Asc Node: 287.77008 +/- 0.005 Inclination: 16.17380 +/- 0.000 Eccentricity: 0.06302476 +/- 0.0017 Semi-Major Axis: 43.84053072 +/- 0.0096 Time of Perihelion: 2445013.7694 +/- 420.4 Perihelion: 41.07749159 +/- 0.0741 Aphelion: 46.60356984 +/- 0.0743 Period (y) 290.2832 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.64936292 +/- 0.0017 Ecliptic Y 20.21116579 +/- 0.0010 Ecliptic Z 11.35895574 +/- 0.0006 Ecliptic XDOT -0.00124278 +/- 0.0000 Ecliptic YDOT 0.00242588 +/- 0.0000 Ecliptic ZDOT -0.00012852 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.69047192 +/- 0.0015 Geocenter to KBO 41.10961293 +/- 0.0020 # Hcoef: 8.54
The following table shows the complete astrometric record for 12UM177. 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 (12UM177) followed by the observatory code and reference code for the source of the astrometry.
2011 08 31.49354 01 32 22.783 +26 55 22.75 12UM177 568 C~1C6U 2011 08 31.60075 01 32 22.433 +26 55 22.71 24.9r 12UM177 568 C~1C6U 2011 09 05.50667 01 32 06.190 +26 55 25.48 24.6r 12UM177 568 C~1C6U 2011 11 24.35087 01 25 59.785 +26 24 38.62 24.6r 12UM177 568 C~1C6U 2011 11 30.30665 01 25 38.631 +26 21 03.80 25.2r 12UM177 568 C~1C6U 2012 08 18.53950 01 38 48.106 +27 19 57.18 12UM177 568 C~1C6U 2012 08 23.59114 01 38 36.931 +27 20 45.39 24.3r 12UM177 568 C~1C6U 2012 08 23.59986 01 38 36.922 +27 20 45.36 24.8r 12UM177 568 C~1C6U 2012 08 28.46759 01 38 24.093 +27 21 16.40 12UM177 568 C~1C6U 2012 09 14.43438 01 37 25.301 +27 21 01.55 12UM177 568 C~1C6U 2012 10 19.37301 01 34 38.987 +27 10 59.28 24.7r 12UM177 568 C~1C6U 2012 10 19.41579 01 34 38.768 +27 10 57.95 12UM177 568 C~1C6U 2012 10 20.36510 01 34 33.924 +27 10 32.53 24.9r 12UM177 568 C~1C6U 2012 10 20.40352 01 34 33.728 +27 10 31.38 25.0r 12UM177 568 C~1C6U 2012 10 20.44249 01 34 33.514 +27 10 30.38 24.4r 12UM177 568 C~1C6U 2012 10 21.42663 01 34 28.474 +27 10 03.21 24.9r 12UM177 568 C~1C6U 2012 11 14.36317 01 32 32.257 +26 57 20.36 24.4r 12UM177 568 C~1C6U 2013 02 06.23610 01 31 15.355 +26 19 37.19 24.6r 12UM177 568 C~1C6U 2013 02 14.23326 01 31 43.711 +26 19 00.53 24.5r 12UM177 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 0.00 0.00 0.08
2 0.0003 -4.34 -0.16 1.75 -0.15
3 0.0137 -204.14 0.12 87.07 -0.02
4 0.2323 -5448.89 0.05 283.56 0.09
5 0.2486 -5794.92 -0.00 197.55 0.09
6 0.9666 5322.79 0.15 -561.26 -0.12
7 0.9804 5202.11 -0.03 -461.47 -0.12
8 0.9804 5201.99 0.09 -461.45 -0.27
9 0.9938 5054.53 -0.11 -369.43 0.09
10 1.0402 4321.11 0.02 -92.93 0.25
11 1.1359 2038.72 -0.07 177.86 0.11
12 1.1360 2035.51 -0.09 177.73 -0.08
13 1.1386 1966.05 0.09 178.53 0.09
14 1.1387 1963.19 0.10 178.45 -0.03
15 1.1388 1960.17 -0.01 178.60 0.08
16 1.1415 1887.63 -0.19 178.77 0.01
17 1.2070 161.92 0.02 60.55 -0.21
18 1.4367 -1654.81 0.12 -1637.99 -0.02
19 1.4586 -1316.52 -0.08 -1817.63 0.11
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.
12UM177 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.930 43.964 43.900 ecceobj 0.065 0.070 0.061 incobj 16.175 16.175 16.175 qmin 40.325 40.073 40.563 qmax 47.074 47.418 46.842 amean 43.605 43.639 43.576 amin 43.264 43.301 43.242 amax 43.951 44.000 43.936 emean 0.059 0.064 0.054 emin 0.047 0.052 0.042 emax 0.071 0.078 0.066 imean 17.801 17.796 17.803 imin 17.395 17.377 17.405 imax 18.197 18.214 18.200 excite_mean 0.311 0.312 0.310 fracstop 1.000 1.000 1.000 cjmean 2.978 2.977 2.978 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 174.9 174.2 175.5 kozaiamp 180.0 180.0 179.9