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: 12WE37 # Created Sun Dec 22 02:09:23 2024 # Orbit generated from Bernstein formalism # Fitting 24 observations of 24 # Arc: 3.15y # First observation: 2012/11/16 # Last observation: 2016/01/10 Preliminary a, adot, b, bdot, g, gdot: 0.000119 0.030660 0.000024 0.012804 0.029066 0.000000 # Chi-squared of fit: 10.05 DOF: 42 RMS: 0.11 # Min/Max residuals: -0.35 0.32 # Exact a, adot, b, bdot, g, gdot: 1.698667E-05 3.080700E-02 6.918912E-06 1.290227E-02 2.853718E-02 -3.630913E-04 # Covariance matrix: 1.4296E-13 -1.4410E-13 1.0457E-14 -4.3377E-14 2.1796E-14 -1.1462E-12 -1.4410E-13 5.0216E-13 -5.4965E-14 2.1484E-13 1.2648E-13 5.7640E-12 1.0457E-14 -5.4965E-14 1.2917E-13 -8.3433E-14 -1.7938E-14 -7.0489E-13 -4.3377E-14 2.1484E-13 -8.3433E-14 1.5743E-13 3.8709E-14 2.7750E-12 2.1796E-14 1.2648E-13 -1.7938E-14 3.8709E-14 6.1644E-13 1.2595E-12 -1.1462E-12 5.7640E-12 -7.0489E-13 2.7750E-12 1.2595E-12 7.4312E-11 # lat0 lon0 xBary yBary zBary JD0 -12.386087 32.890961 -0.354829 -0.197255 -0.898624 2456247.632086 # Heliocentric elements and errors Epoch: 2456240.5000 = 2012/11/09 Mean Anomaly: 359.83942 +/- 0.043 Argument of Peri: 331.35309 +/- 0.074 Long of Asc Node: 59.91688 +/- 0.000 Inclination: 25.64816 +/- 0.000 Eccentricity: 0.25069721 +/- 0.0001 Semi-Major Axis: 47.97181926 +/- 0.0078 Time of Perihelion: 2456294.6331 +/- 14.4 Perihelion: 35.94541819 +/- 0.0077 Aphelion: 59.99822033 +/- 0.0109 Period (y) 332.2672 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.32122333 +/- 0.0008 Ecliptic Y 19.38683344 +/- 0.0005 Ecliptic Z -7.51626233 +/- 0.0002 Ecliptic XDOT -0.00141671 +/- 0.0000 Ecliptic YDOT 0.00260936 +/- 0.0000 Ecliptic ZDOT 0.00121663 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.94548160 +/- 0.0007 Geocenter to KBO 35.04200272 +/- 0.0010 # Hcoef: 7.70
The following table shows the complete astrometric record for 12WE37. 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 (12WE37) followed by the observatory code and reference code for the source of the astrometry.
2012 11 16.131308 02 19 33.80 +00 48 45.7 23.7g 12WE37 W84 C~3526 2012 11 16.132674 02 19 33.80 +00 48 45.7 23.3r 12WE37 W84 C~3526 2012 11 16.139653 02 19 33.76 +00 48 45.6 23.9g 12WE37 W84 C~3526 2012 11 16.141007 02 19 33.74 +00 48 45.6 23.3r 12WE37 W84 C~3526 2012 11 16.144063 02 19 33.74 +00 48 45.5 23.2r 12WE37 W84 C~3526 2012 11 16.145440 02 19 33.70 +00 48 45.5 23.7g 12WE37 W84 C~3526 2012 12 06.136667 02 17 58.75 +00 46 57.8 23.2r 12WE37 W84 C~3526 2012 12 06.139398 02 17 58.77 +00 46 57.9 23.2r 12WE37 W84 C~3526 2012 12 06.142176 02 17 58.73 +00 46 57.8 23.8r 12WE37 W84 C~3526 2012 12 07.177905 02 17 54.46 +00 46 59.1 23.1i 12WE37 W84 C~3526 2013 11 13.16175 02 25 31.833 +02 06 38.61 22.4z 12WE37 W84 C~4yPN 2013 11 23.21306 02 24 39.370 +02 04 46.32 22.8i 12WE37 W84 C~4yPO 2013 11 23.21444 02 24 39.365 +02 04 46.26 22.9z 12WE37 W84 C~4yPO 2013 12 01.18708 02 24 00.876 +02 03 57.27 24.1g 12WE37 W84 C~4yPO 2013 12 01.18848 02 24 00.868 +02 03 57.40 23.4r 12WE37 W84 C~4yPO 2013 12 20.13920 02 22 46.230 +02 04 40.95 22.5i 12WE37 W84 C~4yPO 2014 10 01.357569 02 34 59.68 +03 38 43.4 23.0i 12WE37 W84 C~3526 2014 10 21.301134 02 33 20.12 +03 30 55.3 22.8g 12WE37 W84 C~3526 2014 10 21.30304 02 33 20.097 +03 30 55.09 23.0r 12WE37 W84 C~4yPO 2014 12 16.12784 02 28 38.608 +03 20 40.05 24.2g 12WE37 W84 C~4yPO 2014 12 16.12920 02 28 38.607 +03 20 40.02 23.3i 12WE37 W84 C~4yPO 2015 12 17.14183 02 34 14.127 +04 37 02.59 23.0i 12WE37 W84 C~4yPO 2015 12 17.14320 02 34 14.124 +04 37 02.56 23.1r 12WE37 W84 C~4yPO 2016 01 10.07326 02 33 10.527 +04 41 10.13 24.2g 12WE37 W84 C~4yPO
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 0.02 0.00 0.05
2 0.0000 0.00 0.13 0.00 0.03
3 0.0000 -0.60 0.08 0.11 0.02
4 0.0000 -0.88 -0.10 0.21 0.10
5 0.0000 -0.92 0.11 0.11 -0.04
6 0.0000 -1.48 -0.35 0.31 0.14
7 0.0548 -1379.77 -0.16 374.60 0.05
8 0.0548 -1379.45 0.32 374.59 -0.02
9 0.0548 -1380.05 -0.11 374.70 0.02
10 0.0576 -1439.98 -0.10 397.32 -0.02
11 0.9912 6623.11 0.24 2614.00 -0.01
12 1.0187 5843.51 -0.00 2770.33 -0.01
13 1.0187 5843.42 0.01 2770.30 -0.06
14 1.0405 5282.73 0.02 2916.54 -0.19
15 1.0405 5282.66 0.04 2916.70 -0.05
16 1.0924 4241.86 0.01 3331.08 -0.22
17 1.8733 16518.94 -0.15 5005.19 -0.07
18 1.9279 14948.06 0.19 5056.79 0.08
19 1.9279 14947.67 -0.05 5056.71 -0.02
20 2.0808 10750.88 -0.08 5875.96 0.09
21 2.0808 10750.86 -0.03 5875.93 0.03
22 3.0828 17043.92 -0.02 8548.75 0.13
23 3.0829 17043.87 0.00 8548.74 0.09
24 3.1484 16223.66 -0.01 9098.68 -0.12
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.
12WE37 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.160 48.184 48.135 ecceobj 0.253 0.254 0.253 incobj 25.647 25.647 25.646 qmin 32.502 32.536 32.081 qmax 63.696 63.748 64.438 amean 47.797 47.797 47.797 amin 47.302 47.302 47.289 amax 48.434 48.392 48.478 emean 0.262 0.272 0.280 emin 0.193 0.226 0.226 emax 0.318 0.318 0.330 imean 23.617 23.506 23.187 imin 21.779 21.922 21.395 imax 25.220 24.884 24.801 excite_mean 0.480 0.484 0.484 fracstop 1.000 1.000 1.000 cjmean 2.856 2.852 2.852 libcent 0 75.3 73.2 75.8 libamp 0 30.9 24.8 35.2 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 179.1 183.3 194.8 kozaiamp 180.0 180.0 180.0