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: 11BU163 # Created Sat Apr 20 01:13:41 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 12.13y # First observation: 2011/01/30 # Last observation: 2023/03/18 # Chi-squared of fit: 40.16 DOF: 46 RMS: 0.22 # Min/Max residuals: -0.38 0.82 # Exact a, adot, b, bdot, g, gdot: 1.827264E-05 3.192269E-02 7.514343E-06 1.222929E-02 2.821393E-02 3.572801E-03 # Covariance matrix: 1.9165E-13 -7.9256E-14 3.1689E-14 -2.6186E-14 2.8260E-14 -1.8190E-13 -7.9256E-14 6.1590E-14 -2.6537E-14 2.1774E-14 3.9703E-14 1.5090E-13 3.1689E-14 -2.6537E-14 1.2394E-13 -2.6824E-14 -5.1942E-15 -7.3766E-14 -2.6186E-14 2.1774E-14 -2.6824E-14 1.4381E-14 2.8468E-15 6.0755E-14 2.8260E-14 3.9703E-14 -5.1942E-15 2.8468E-15 5.8552E-13 1.6517E-14 -1.8190E-13 1.5090E-13 -7.3766E-14 6.0755E-14 1.6517E-14 4.2156E-13 # lat0 lon0 xBary yBary zBary JD0 -5.009215 138.418979 0.142903 -0.085373 -0.974063 2455591.859246 # Heliocentric elements and errors Epoch: 2455592.5000 = 2011/01/31 Mean Anomaly: 9.13049 +/- 0.003 Argument of Peri: 324.97349 +/- 0.005 Long of Asc Node: 150.70465 +/- 0.000 Inclination: 21.48566 +/- 0.000 Eccentricity: 0.37881545 +/- 0.0001 Semi-Major Axis: 57.48897528 +/- 0.0114 Time of Perihelion: 2451554.4959 +/- 1.9 Perihelion: 35.71126337 +/- 0.0093 Aphelion: 79.26668719 +/- 0.0168 Period (y) 435.8982 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -27.04397287 +/- 0.0007 Ecliptic Y 24.18807425 +/- 0.0006 Ecliptic Z -3.09453676 +/- 0.0001 Ecliptic XDOT -0.00239284 +/- 0.0000 Ecliptic YDOT -0.00201309 +/- 0.0000 Ecliptic ZDOT 0.00115193 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.41442685 +/- 0.0007 Geocenter to KBO 35.44344571 +/- 0.0010 # Hcoef: 6.85
The following table shows the complete astrometric record for 11BU163. 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 (11BU163) followed by the observatory code and reference code for the source of the astrometry.
2011 01 30.35848 09 17 07.969 +10 32 14.58 23.2w 11BU163 F51 C~1w3m 2011 01 30.37410 09 17 07.912 +10 32 15.12 22.9w 11BU163 F51 C~1w3m 2011 01 30.38863 09 17 07.826 +10 32 15.71 22.9w 11BU163 F51 C~1w3m 2011 02 02.49819 09 16 51.538 +10 33 50.63 22.8w 11BU163 F51 C~1w3m 2011 02 03.36693 09 16 46.971 +10 34 17.61 23.3w 11BU163 F51 C~1w3m 2011 02 03.38238 09 16 46.886 +10 34 18.11 22.8w 11BU163 F51 C~1w3m 2012 02 14.37672 09 23 46.625 +10 46 35.00 23.0w 11BU163 F51 C~1w3m 2012 02 14.39091 09 23 46.550 +10 46 35.36 23.2w 11BU163 F51 C~1w3m 2013 02 03.34857 09 32 33.139 +10 46 44.89 22.5w 11BU163 F51 C~1w3m 2013 02 03.36319 09 32 33.077 +10 46 45.38 22.5w 11BU163 F51 C~1w3m 2013 02 03.37792 09 32 33.015 +10 46 45.89 22.8w 11BU163 F51 C~1w3m 2013 02 03.39252 09 32 32.931 +10 46 46.45 22.5w 11BU163 F51 C~1w3m 2013 03 03.30882 09 30 11.711 +11 02 05.41 22.8w 11BU163 F51 C~1w3m 2014 01 05.43799 09 42 35.481 +10 37 52.08 22.3w 11BU163 F51 C~1w3m 2014 01 05.45309 09 42 35.439 +10 37 52.58 22.3w 11BU163 F51 C~1w3m 2014 01 05.46826 09 42 35.368 +10 37 52.75 22.0w 11BU163 F51 C~1w3m 2014 01 05.48344 09 42 35.356 +10 37 53.00 22.3w 11BU163 F51 C~1w3m 2014 02 28.30607 09 38 17.352 +11 05 18.10 22.7w 11BU163 F51 C~1w3m 2014 03 20.26385 09 36 49.435 +11 15 48.79 22.5w 11BU163 F51 C~1w3m 2014 03 20.27568 09 36 49.407 +11 15 49.36 22.4w 11BU163 F51 C~1w3m 2014 03 20.30093 09 36 49.294 +11 15 50.17 22.7w 11BU163 F51 C~1w3m 2019 02 08.342790 10 18 07.435 +11 06 55.21 22.0G 11BU163 G37 C~2zmc 2019 02 08.481410 10 18 06.766 +11 07 01.01 11BU163 G37 C~2zmc 2023 03 18.260630 10 44 06.750 +11 27 18.18 22.4G 11BU163 G37 C~6V5t 2023 03 18.302430 10 44 06.492 +11 27 20.04 11BU163 G37 C~6V5t 2023 03 18.347060 10 44 06.295 +11 27 21.27 11BU163 G37 C~6V5t
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 -0.12 0.00 -0.11
2 0.0000 0.00 0.27 0.00 -0.04
3 0.0001 0.00 0.13 0.00 0.11
4 0.0086 0.00 0.07 0.00 0.00
5 0.0110 0.00 -0.17 0.00 0.09
6 0.0110 0.00 -0.21 0.00 0.11
7 1.0404 0.00 0.12 0.00 0.05
8 1.0405 0.00 0.12 0.00 -0.05
9 2.0123 0.00 -0.22 0.00 -0.08
10 2.0123 0.00 0.00 0.00 -0.06
11 2.0124 0.00 0.23 0.00 -0.02
12 2.0124 0.00 0.11 0.00 0.08
13 2.0888 0.00 -0.25 0.00 0.08
14 2.9325 0.00 -0.31 0.00 -0.14
15 2.9325 0.00 -0.08 0.00 0.01
16 2.9325 0.00 -0.27 0.00 -0.17
17 2.9326 0.00 0.42 0.00 -0.28
18 3.0799 0.00 0.02 0.00 0.04
19 3.1346 0.00 -0.10 0.00 -0.15
20 3.1346 0.00 0.18 0.00 0.07
21 3.1347 0.00 -0.04 0.00 0.14
22 8.0246 0.00 -0.01 0.00 -0.21
23 8.0250 0.00 0.10 0.00 0.82
24 12.1284 0.00 0.59 0.00 -0.38
25 12.1285 0.00 -0.37 0.00 0.14
26 12.1286 0.00 -0.23 0.00 -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.
11BU163 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 57.866 57.866 57.866 ecceobj 0.382 0.382 0.382 incobj 21.475 21.475 21.475 qmin 33.752 34.099 33.958 qmax 83.475 83.089 83.459 amean 57.941 57.885 57.943 amin 57.021 57.048 57.045 amax 58.991 59.005 58.996 emean 0.392 0.386 0.390 emin 0.367 0.364 0.367 emax 0.417 0.410 0.415 imean 19.872 20.166 19.969 imin 18.616 19.035 18.787 imax 20.974 21.130 21.042 excite_mean 0.519 0.518 0.519 fracstop 1.000 1.000 1.000 cjmean 2.919 2.921 2.920 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 173.6 171.4 172.2 kozaiamp 180.0 180.0 180.0