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: 12YO9 # Created Tue Apr 23 01:14:07 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 6.22y # First observation: 2008/10/30 # Last observation: 2015/01/18 # Chi-squared of fit: 10.19 DOF: 40 RMS: 0.12 # Min/Max residuals: -0.24 0.28 # Exact a, adot, b, bdot, g, gdot: 1.557973E-05 2.348298E-02 6.434542E-07 4.656218E-04 2.422862E-02 -3.966812E-03 # Covariance matrix: 4.8831E-13 -1.9473E-13 1.9909E-15 -2.6003E-15 -9.0265E-14 -8.0058E-13 -1.9473E-13 3.3549E-13 -6.6157E-15 8.4620E-15 1.9790E-13 2.3459E-12 1.9909E-15 -6.6157E-15 4.4895E-13 -8.5565E-14 -4.6313E-16 -5.0642E-14 -2.6003E-15 8.4620E-15 -8.5565E-14 1.9079E-14 1.2631E-15 6.4476E-14 -9.0265E-14 1.9790E-13 -4.6313E-16 1.2631E-15 3.9682E-13 1.3441E-12 -8.0058E-13 2.3459E-12 -5.0642E-14 6.4476E-14 1.3441E-12 1.7431E-11 # lat0 lon0 xBary yBary zBary JD0 -15.705656 33.069483 -0.075959 -0.268363 -0.954511 2454769.856891 # Heliocentric elements and errors Epoch: 2454770.5000 = 2008/10/31 Mean Anomaly: 290.54326 +/- 0.020 Argument of Peri: 2.85327 +/- 0.023 Long of Asc Node: 118.42659 +/- 0.001 Inclination: 15.39206 +/- 0.000 Eccentricity: 0.16568171 +/- 0.0002 Semi-Major Axis: 43.63583549 +/- 0.0049 Time of Perihelion: 2475083.5568 +/- 15.5 Perihelion: 36.40617586 +/- 0.0089 Aphelion: 50.86549511 +/- 0.0098 Period (y) 288.2525 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.08713331 +/- 0.0009 Ecliptic Y 22.28083962 +/- 0.0006 Ecliptic Z -11.17252832 +/- 0.0003 Ecliptic XDOT -0.00179170 +/- 0.0000 Ecliptic YDOT 0.00199847 +/- 0.0000 Ecliptic ZDOT 0.00017188 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.22798405 +/- 0.0008 Geocenter to KBO 41.27364511 +/- 0.0011 # Hcoef: 7.58
The following table shows the complete astrometric record for 12YO9. 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 (12YO9) followed by the observatory code and reference code for the source of the astrometry.
2008 10 30.356137 02 24 38.93 -02 15 31.5 23.3V 12YO9 645 C~2FZx 2008 10 30.356967 02 24 38.93 -02 15 31.5 23.2V 12YO9 645 C~2FZx 2008 10 30.359454 02 24 38.92 -02 15 31.5 23.5V 12YO9 645 C~2FZx 2012 12 17.140579 02 41 43.25 -00 28 09.6 12YO9 W84 C~1QeK 2012 12 17.142951 02 41 43.22 -00 28 09.4 12YO9 W84 C~1QeK 2013 09 28.247118 02 52 38.91 +00 24 42.6 23.9r 12YO9 W84 C~1QeK 2013 09 28.249491 02 52 38.91 +00 24 42.5 23.2i 12YO9 W84 C~1QeK 2013 09 28.253333 02 52 38.90 +00 24 42.3 23.3z 12YO9 W84 C~1QeK 2013 10 10.166782 02 51 53.94 +00 18 58.9 24.2r 12YO9 W84 C~1QeK 2013 10 10.169132 02 51 53.92 +00 18 59.0 23.7i 12YO9 W84 C~1QeK 2013 10 10.172951 02 51 53.90 +00 18 58.8 23.4z 12YO9 W84 C~1QeK 2013 11 06.093935 02 49 51.82 +00 07 51.6 24.3r 12YO9 W84 C~1QeK 2013 11 06.096285 02 49 51.80 +00 07 51.5 23.6i 12YO9 W84 C~1QeK 2013 11 06.100081 02 49 51.78 +00 07 51.4 23.6z 12YO9 W84 C~1QeK 2013 11 13.088102 02 49 18.45 +00 05 40.8 23.9i 12YO9 W84 C~1QeK 2013 11 13.091898 02 49 18.43 +00 05 40.5 23.7z 12YO9 W84 C~1QeK 2013 12 10.047025 02 47 20.22 +00 01 10.8 23.7i 12YO9 W84 C~1QeK 2013 12 10.050833 02 47 20.22 +00 01 10.7 23.9z 12YO9 W84 C~1QeK 2014 11 19.195498 02 54 06.08 +00 33 51.5 23.8r 12YO9 W84 C~1QeK 2014 11 19.197847 02 54 06.04 +00 33 51.3 22.9i 12YO9 W84 C~1QeK 2014 11 19.201632 02 54 06.03 +00 33 51.3 23.2z 12YO9 W84 C~1QeK 2015 01 18.116366 02 50 55.71 +00 36 28.9 24.0r 12YO9 W84 C~1QeK 2015 01 18.122535 02 50 55.71 +00 36 28.9 23.8z 12YO9 W84 C~1QeK
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 -0.03 0.00 -0.08
2 0.0000 0.00 0.03 0.00 -0.07
3 0.0000 0.00 0.06 0.00 -0.01
4 4.1308 0.00 0.15 0.00 0.02
5 4.1308 0.00 -0.18 0.00 0.22
6 4.9114 0.00 -0.05 0.00 0.05
7 4.9114 0.00 0.08 0.00 0.02
8 4.9114 0.00 0.13 0.00 -0.07
9 4.9440 0.00 0.12 0.00 -0.03
10 4.9440 0.00 -0.04 0.00 0.14
11 4.9441 0.00 -0.10 0.00 0.05
12 5.0178 0.00 0.06 0.00 0.11
13 5.0178 0.00 -0.06 0.00 0.06
14 5.0178 0.00 -0.09 0.00 0.03
15 5.0369 0.00 -0.22 0.00 0.21
16 5.0369 0.00 -0.24 0.00 -0.02
17 5.1107 0.00 -0.07 0.00 -0.03
18 5.1107 0.00 0.15 0.00 -0.12
19 6.0529 0.00 0.28 0.00 0.05
20 6.0530 0.00 -0.15 0.00 -0.12
21 6.0530 0.00 -0.03 0.00 -0.06
22 6.2170 0.00 0.04 0.00 -0.09
23 6.2170 0.00 0.12 0.00 -0.22
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.
12YO9 quality flag:3 Type: 7:4EEE 7:4EEE 7:4EEE Type: 7:4EII 7:4EII 7:4EII axisobj 44.034 44.034 44.034 ecceobj 0.168 0.168 0.168 incobj 15.387 15.387 15.387 qmin 32.100 32.106 32.093 qmax 55.935 55.936 55.884 amean 43.726 43.726 43.726 amin 43.294 43.289 43.309 amax 44.245 44.253 44.237 emean 0.224 0.224 0.224 emin 0.155 0.155 0.155 emax 0.264 0.264 0.264 imean 10.501 10.517 10.483 imin 8.184 8.203 8.165 imax 13.890 13.890 13.890 excite_mean 0.292 0.292 0.292 fracstop 1.000 1.000 1.000 cjmean 2.996 2.996 2.996 libcent 0 181.9 181.8 181.5 libamp 0 60.2 60.2 60.7 libcent 1 181.7 181.9 182.5 libamp 1 105.8 105.2 106.0 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 199.1 199.0 199.2 kozaiamp 180.0 180.0 180.0