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: 11UG412 # Created Sun Nov 24 02:09:13 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 38 observations of 38 # Arc: 12.13y # First observation: 2011/08/30 # Last observation: 2023/10/16 # Chi-squared of fit: 17.86 DOF: 70 RMS: 0.12 # Min/Max residuals: -0.26 0.36 # Exact a, adot, b, bdot, g, gdot: 1.593293E-05 2.375001E-02 -2.954096E-07 -1.043342E-06 2.387531E-02 3.622966E-03 # Covariance matrix: 1.4544E-13 -5.0448E-14 -2.9919E-16 -1.7919E-16 8.4538E-14 -1.6361E-13 -5.0448E-14 9.7761E-14 -1.5731E-16 1.5401E-16 1.5147E-14 3.6298E-13 -2.9919E-16 -1.5731E-16 5.1837E-14 -6.0849E-15 -4.9431E-16 -6.3561E-16 -1.7919E-16 1.5401E-16 -6.0849E-15 3.0444E-15 -1.1007E-16 5.8082E-16 8.4538E-14 1.5147E-14 -4.9431E-16 -1.1007E-16 1.1772E-13 6.6096E-14 -1.6361E-13 3.6298E-13 -6.3561E-16 5.8082E-16 6.6096E-14 1.3916E-12 # lat0 lon0 xBary yBary zBary JD0 2.528095 33.869877 0.848059 0.023892 -0.541918 2455803.971736 # Heliocentric elements and errors Epoch: 2455804.5000 = 2011/08/31 Mean Anomaly: 46.87986 +/- 0.011 Argument of Peri: 26.56950 +/- 0.014 Long of Asc Node: 303.94667 +/- 0.003 Inclination: 2.49567 +/- 0.000 Eccentricity: 0.16027971 +/- 0.0001 Semi-Major Axis: 46.81229282 +/- 0.0035 Time of Perihelion: 2440570.2157 +/- 3.9 Perihelion: 39.30923187 +/- 0.0042 Aphelion: 54.31535377 +/- 0.0051 Period (y) 320.2935 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.66924885 +/- 0.0005 Ecliptic Y 22.91917627 +/- 0.0003 Ecliptic Z 1.84749941 +/- 0.0000 Ecliptic XDOT -0.00117635 +/- 0.0000 Ecliptic YDOT 0.00249803 +/- 0.0000 Ecliptic ZDOT 0.00001827 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.43807037 +/- 0.0005 Geocenter to KBO 41.88420225 +/- 0.0006 # Hcoef: 7.70
The following table shows the complete astrometric record for 11UG412. 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 (11UG412) followed by the observatory code and reference code for the source of the astrometry.
2011 08 30.47097 02 02 57.286 +15 11 06.39 24.3r 11UG412 568 C~1C6P 2011 08 30.52337 02 02 57.172 +15 11 05.83 24.4r 11UG412 568 C~1C6P 2011 08 30.56976 02 02 57.054 +15 11 05.59 23.6r 11UG412 568 C~1C6P 2011 09 05.57158 02 02 42.379 +15 10 06.91 23.8r 11UG412 568 C~1C6P 2011 10 25.31577 01 59 24.155 +14 53 59.42 23.6r 11UG412 568 C~1C6P 2011 10 25.36423 01 59 23.919 +14 53 58.11 23.7r 11UG412 568 C~1C6P 2011 10 25.41871 01 59 23.654 +14 53 56.82 23.7r 11UG412 568 C~1C6P 2011 10 25.47315 01 59 23.396 +14 53 55.48 23.7r 11UG412 568 C~1C6P 2011 10 26.26973 01 59 19.683 +14 53 35.38 24.0r 11UG412 568 C~1C6Q 2011 10 26.32241 01 59 19.431 +14 53 34.19 23.8r 11UG412 568 C~1C6Q 2011 10 26.36558 01 59 19.220 +14 53 33.12 23.9r 11UG412 568 C~1C6Q 2011 10 31.54671 01 58 54.935 +14 51 22.66 23.7r 11UG412 568 C~1C6Q 2011 11 24.30055 01 57 11.107 +14 41 37.25 24.0r 11UG412 568 C~1C6Q 2011 11 24.30481 01 57 11.095 +14 41 37.17 23.9r 11UG412 568 C~1C6Q 2011 11 30.34681 01 56 48.332 +14 39 21.72 11UG412 568 C~1C6Q 2012 01 26.27207 01 55 32.317 +14 29 14.99 24.0r 11UG412 568 C~1C6Q 2012 01 27.32916 01 55 33.693 +14 29 18.29 24.2r 11UG412 568 C~1C6Q 2012 02 21.23747 01 56 35.280 +14 33 19.23 23.8r 11UG412 568 C~1C6Q 2012 08 17.55584 02 08 35.030 +15 39 45.16 23.8r 11UG412 568 C~1C6Q 2012 08 22.61130 02 08 28.435 +15 39 29.59 24.2r 11UG412 568 C~1C6Q 2012 08 23.53343 02 08 27.020 +15 39 25.34 24.1r 11UG412 568 C~1C6Q 2012 08 23.54629 02 08 26.987 +15 39 25.10 23.8r 11UG412 568 C~1C6Q 2012 08 24.48353 02 08 25.470 +15 39 20.49 23.8r 11UG412 568 C~1C6Q 2012 08 24.56913 02 08 25.316 +15 39 19.90 24.1r 11UG412 568 C~1C6Q 2012 10 21.31465 02 05 00.799 +15 23 38.58 23.9r 11UG412 568 C~1C6Q 2012 10 21.33175 02 05 00.724 +15 23 38.16 23.9r 11UG412 568 C~1C6Q 2012 10 21.34035 02 05 00.682 +15 23 38.03 23.8r 11UG412 568 C~1C6Q 2012 10 21.35746 02 05 00.593 +15 23 37.51 24.1r 11UG412 568 C~1C6Q 2012 10 21.36603 02 05 00.551 +15 23 37.35 24.1r 11UG412 568 C~1C6Q 2012 10 21.38354 02 05 00.471 +15 23 37.04 24.0r 11UG412 568 C~1C6Q 2013 01 14.34100 02 00 38.541 +14 57 25.51 23.9r 11UG412 568 C~1C6Q 2013 02 02.25091 02 00 56.610 +14 57 47.61 23.9r 11UG412 568 C~1C6Q 2013 02 03.25659 02 00 58.508 +14 57 53.78 11UG412 568 C~1C6Q 2020 10 20.378130 02 47 23.902 +18 45 25.20 23.9G 11UG412 G37 C~4KuJ 2020 10 20.455890 02 47 23.555 +18 45 23.60 11UG412 G37 C~4KuJ 2023 10 16.313390 03 03 27.324 +19 50 58.51 23.9G 11UG412 G37 C~7Mgr 2023 10 16.360260 03 03 27.118 +19 50 57.71 11UG412 G37 C~7Mgr 2023 10 16.388080 03 03 26.995 +19 50 57.16 11UG412 G37 C~7Mgr
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 0.04 2 0.0001 0.00 0.02 0.00 -0.09 3 0.0003 0.00 -0.15 0.00 0.06 4 0.0167 0.00 0.03 0.00 -0.22 5 0.1529 0.00 0.04 0.00 -0.08 6 0.1530 0.00 -0.03 0.00 -0.19 7 0.1532 0.00 -0.10 0.00 -0.12 8 0.1533 0.00 -0.07 0.00 -0.10 9 0.1555 0.00 0.08 0.00 -0.26 10 0.1557 0.00 0.05 0.00 -0.14 11 0.1558 0.00 -0.02 0.00 -0.13 12 0.1700 0.00 -0.24 0.00 -0.04 13 0.2350 0.00 0.10 0.00 -0.03 14 0.2350 0.00 0.18 0.00 -0.01 15 0.2515 0.00 -0.05 0.00 0.06 16 0.4074 0.00 0.15 0.00 -0.08 17 0.4103 0.00 0.16 0.00 -0.09 18 0.4785 0.00 -0.15 0.00 0.03 19 0.9667 0.00 -0.03 0.00 -0.05 20 0.9805 0.00 -0.18 0.00 0.36 21 0.9831 0.00 0.03 0.00 0.32 22 0.9831 0.00 -0.14 0.00 0.14 23 0.9857 0.00 0.03 0.00 0.21 24 0.9859 0.00 -0.02 0.00 0.05 25 1.1440 0.00 0.08 0.00 0.04 26 1.1440 0.00 0.17 0.00 0.03 27 1.1441 0.00 0.15 0.00 0.11 28 1.1441 0.00 0.04 0.00 -0.00 29 1.1441 0.00 0.02 0.00 0.04 30 1.1442 0.00 0.07 0.00 0.15 31 1.3768 0.00 -0.03 0.00 0.19 32 1.4286 0.00 -0.15 0.00 -0.02 33 1.4313 0.00 -0.15 0.00 -0.08 34 9.1414 0.00 -0.14 0.00 -0.04 35 9.1416 0.00 0.01 0.00 -0.16 36 12.1282 0.00 0.09 0.00 0.09 37 12.1284 0.00 0.02 0.00 0.02 38 12.1285 0.00 -0.03 0.00 -0.09
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.
11UG412 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.923 46.923 46.923 ecceobj 0.162 0.162 0.162 incobj 2.496 2.496 2.496 qmin 38.525 38.497 38.507 qmax 54.996 55.030 54.960 amean 46.544 46.544 46.544 amin 46.139 46.151 46.146 amax 47.004 47.016 47.006 emean 0.157 0.157 0.157 emin 0.143 0.144 0.143 emax 0.170 0.170 0.170 imean 4.099 4.099 4.099 imin 3.535 3.534 3.535 imax 4.538 4.538 4.539 excite_mean 0.172 0.172 0.172 fracstop 1.000 1.000 1.000 cjmean 3.096 3.096 3.096 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 175.4 175.3 175.4 kozaiamp 180.0 180.0 180.0