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: 11UD411 # Created Fri Nov 22 02:09:14 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 32 observations of 32 # Arc: 9.28y # First observation: 2011/08/30 # Last observation: 2020/12/09 # Chi-squared of fit: 13.53 DOF: 58 RMS: 0.11 # Min/Max residuals: -0.32 0.43 # Exact a, adot, b, bdot, g, gdot: 1.377083E-05 2.156040E-02 3.821141E-06 5.809248E-03 2.443053E-02 -6.104131E-03 # Covariance matrix: 1.6868E-13 -2.0252E-14 1.6356E-15 -5.4479E-15 1.1126E-13 -8.9987E-14 -2.0252E-14 1.2600E-13 -1.9875E-14 3.7766E-14 6.6387E-14 6.6357E-13 1.6356E-15 -1.9875E-14 6.4619E-14 -1.5646E-14 -1.1082E-14 -1.0914E-13 -5.4479E-15 3.7766E-14 -1.5646E-14 1.7060E-14 1.8480E-14 2.0806E-13 1.1126E-13 6.6387E-14 -1.1082E-14 1.8480E-14 1.6565E-13 3.3102E-13 -8.9987E-14 6.6357E-13 -1.0914E-13 2.0806E-13 3.3102E-13 3.6541E-12 # lat0 lon0 xBary yBary zBary JD0 3.896377 34.091083 0.849715 0.036651 -0.538571 2455804.016986 # Heliocentric elements and errors Epoch: 2455804.5000 = 2011/08/31 Mean Anomaly: 275.61709 +/- 0.018 Argument of Peri: 130.87418 +/- 0.009 Long of Asc Node: 19.04579 +/- 0.000 Inclination: 15.66332 +/- 0.000 Eccentricity: 0.28667007 +/- 0.0001 Semi-Major Axis: 39.41750964 +/- 0.0026 Time of Perihelion: 2476992.2186 +/- 8.2 Perihelion: 28.11768933 +/- 0.0034 Aphelion: 50.71732995 +/- 0.0044 Period (y) 247.4811 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.74639971 +/- 0.0006 Ecliptic Y 22.49003719 +/- 0.0004 Ecliptic Z 2.78162407 +/- 0.0000 Ecliptic XDOT -0.00195930 +/- 0.0000 Ecliptic YDOT 0.00159903 +/- 0.0000 Ecliptic ZDOT 0.00060310 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.48332006 +/- 0.0005 Geocenter to KBO 40.93257548 +/- 0.0007 # Hcoef: 7.01
The following table shows the complete astrometric record for 11UD411. 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 (11UD411) followed by the observatory code and reference code for the source of the astrometry.
2011 08 30.51622 02 01 51.976 +16 32 46.17 23.2r 11UD411 568 C~1C6N 2011 08 30.56278 02 01 51.852 +16 32 45.86 23.3r 11UD411 568 C~1C6N 2011 08 30.60922 02 01 51.735 +16 32 45.85 23.3r 11UD411 568 C~1C6N 2011 09 05.60600 02 01 35.401 +16 32 11.07 23.1r 11UD411 568 C~1C6N 2011 10 25.35943 01 58 01.107 +16 18 25.58 23.2r 11UD411 568 C~1C6N 2011 10 25.41388 01 58 00.824 +16 18 24.38 22.9r 11UD411 568 C~1C6N 2011 10 26.31804 01 57 56.293 +16 18 03.41 23.0r 11UD411 568 C~1C6N 2011 10 26.36119 01 57 56.071 +16 18 02.39 23.1r 11UD411 568 C~1C6N 2011 10 26.41881 01 57 55.776 +16 18 01.08 23.1r 11UD411 568 C~1C6N 2011 10 31.40998 01 57 30.737 +16 16 03.81 11UD411 568 C~1C6N 2011 10 31.42747 01 57 30.640 +16 16 03.34 11UD411 568 C~1C6N 2011 10 31.45293 01 57 30.512 +16 16 02.78 23.1r 11UD411 568 C~1C6N 2011 10 31.47823 01 57 30.383 +16 16 02.16 23.0r 11UD411 568 C~1C6N 2011 10 31.48330 01 57 30.355 +16 16 01.95 23.0r 11UD411 568 C~1C6N 2011 11 24.31408 01 55 38.554 +16 06 41.83 23.1r 11UD411 568 C~1C6N 2011 12 01.32873 01 55 10.307 +16 04 09.78 23.2r 11UD411 568 C~1C6N 2012 01 26.32223 01 53 46.811 +15 54 39.53 23.4r 11UD411 568 C~1C6N 2012 01 27.25646 01 53 47.939 +15 54 42.86 23.0r 11UD411 568 C~1C6N 2012 08 22.44933 02 06 32.571 +17 17 20.20 23.1r 11UD411 568 C~1C6N 2012 08 24.56060 02 06 28.598 +17 17 20.05 23.2r 11UD411 568 C~1C6N 2012 10 17.40387 02 03 03.307 +17 06 15.43 23.0r 11UD411 568 C~1C6N 2012 10 20.50070 02 02 47.687 +17 05 07.76 23.2r 11UD411 568 C~1C6N 2013 01 14.33578 01 57 57.368 +16 39 04.95 23.2r 11UD411 568 C~1C6N 2013 02 02.26027 01 58 14.078 +16 39 28.29 23.2r 11UD411 568 C~1C6N 2013 02 03.26131 01 58 15.940 +16 39 34.74 11UD411 568 C~1C6N 2013 12 05.43997 02 03 42.82 +17 33 00.8 11UD411 568 C~1CKy 2013 12 05.44921 02 03 42.79 +17 33 00.5 11UD411 568 C~1CKy 2013 12 05.45845 02 03 42.75 +17 33 00.4 11UD411 568 C~1CKy 2019 10 26.394340 02 36 13.553 +22 24 26.40 22.2G 11UD411 G37 C~3chz 2019 10 26.480580 02 36 13.091 +22 24 24.96 11UD411 G37 C~3chz 2020 12 09.111060 02 37 37.951 +22 54 19.64 22.8G 11UD411 G37 C~4U7j 2020 12 09.166000 02 37 37.754 +22 54 18.09 11UD411 G37 C~4U7j
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 0.04 0.00 0.00 2 0.0001 0.00 -0.03 0.00 -0.11 3 0.0003 0.00 0.01 0.00 0.09 4 0.0167 0.00 0.16 0.00 0.24 5 0.1529 0.00 0.01 0.00 -0.12 6 0.1530 0.00 -0.05 0.00 -0.06 7 0.1555 0.00 0.08 0.00 -0.05 8 0.1556 0.00 0.06 0.00 -0.07 9 0.1558 0.00 0.06 0.00 -0.05 10 0.1695 0.00 0.10 0.00 -0.01 11 0.1695 0.00 -0.02 0.00 -0.06 12 0.1696 0.00 0.00 0.00 -0.01 13 0.1696 0.00 -0.00 0.00 -0.03 14 0.1697 0.00 -0.04 0.00 -0.12 15 0.2349 0.00 0.04 0.00 0.01 16 0.2541 0.00 0.01 0.00 -0.03 17 0.4074 0.00 -0.10 0.00 -0.01 18 0.4100 0.00 -0.05 0.00 -0.02 19 0.9800 0.00 -0.04 0.00 -0.15 20 0.9857 0.00 -0.15 0.00 -0.04 21 1.1332 0.00 -0.07 0.00 0.10 22 1.1416 0.00 -0.10 0.00 0.03 23 1.3766 0.00 0.10 0.00 -0.03 24 1.4285 0.00 0.01 0.00 0.05 25 1.4312 0.00 0.06 0.00 -0.03 26 2.2667 0.00 -0.14 0.00 0.21 27 2.2668 0.00 -0.06 0.00 0.10 28 2.2668 0.00 -0.14 0.00 0.20 29 8.1557 0.00 -0.12 0.00 -0.06 30 8.1560 0.00 0.11 0.00 0.17 31 9.2775 0.00 -0.32 0.00 0.05 32 9.2776 0.00 0.43 0.00 -0.25
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.
11UD411 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.486 39.486 39.486 ecceobj 0.285 0.285 0.285 incobj 15.643 15.643 15.643 qmin 27.286 27.376 27.495 qmax 52.379 52.327 52.260 amean 39.455 39.456 39.455 amin 38.902 38.872 38.868 amax 40.116 40.136 40.117 emean 0.291 0.291 0.290 emin 0.269 0.275 0.277 emax 0.307 0.306 0.303 imean 15.468 15.492 15.482 imin 14.908 14.980 14.957 imax 16.369 16.186 16.007 excite_mean 0.395 0.395 0.394 fracstop 1.000 1.000 1.000 cjmean 2.873 2.873 2.874 libcent 0 179.8 179.8 180.1 libamp 0 130.6 132.0 132.5 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 174.0 174.0 178.5 kozaiamp 180.0 179.9 180.0