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: 12WG37 # Created Sun Dec 22 02:09:23 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 23 observations of 23 # Arc: 5.03y # First observation: 2012/11/19 # Last observation: 2017/11/29 # Chi-squared of fit: 13.50 DOF: 40 RMS: 0.14 # Min/Max residuals: -0.35 0.39 # Exact a, adot, b, bdot, g, gdot: 1.381914E-05 1.711130E-02 -1.018783E-07 1.418009E-03 2.059497E-02 -6.420485E-03 # Covariance matrix: 7.4773E-13 -4.6515E-13 2.9910E-14 -3.0143E-14 -2.2580E-13 -3.5681E-12 -4.6515E-13 4.2887E-13 -3.1383E-14 3.2511E-14 2.0639E-13 3.8620E-12 2.9910E-14 -3.1383E-14 4.0985E-13 -1.0053E-13 -2.5926E-14 -3.1080E-13 -3.0143E-14 3.2511E-14 -1.0053E-13 3.0342E-14 1.9886E-14 3.1577E-13 -2.2580E-13 2.0639E-13 -2.5926E-14 1.9886E-14 4.1128E-13 2.2582E-12 -3.5681E-12 3.8620E-12 -3.1080E-13 3.1577E-13 2.2582E-12 3.7418E-11 # lat0 lon0 xBary yBary zBary JD0 -13.721580 36.857445 -0.339378 -0.219358 -0.898759 2456250.619632 # Heliocentric elements and errors Epoch: 2456250.5000 = 2012/11/19 Mean Anomaly: 289.28812 +/- 0.058 Argument of Peri: 40.10746 +/- 0.021 Long of Asc Node: 107.11039 +/- 0.002 Inclination: 14.30959 +/- 0.000 Eccentricity: 0.34413876 +/- 0.0003 Semi-Major Axis: 49.33152658 +/- 0.0129 Time of Perihelion: 2481109.0145 +/- 44.9 Perihelion: 32.35463608 +/- 0.0171 Aphelion: 66.30841708 +/- 0.0229 Period (y) 346.4935 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 38.27976340 +/- 0.0012 Ecliptic Y 29.12304651 +/- 0.0009 Ecliptic Z -11.51763106 +/- 0.0004 Ecliptic XDOT -0.00199819 +/- 0.0000 Ecliptic YDOT 0.00135133 +/- 0.0000 Ecliptic ZDOT 0.00038572 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 49.45878288 +/- 0.0010 Geocenter to KBO 48.55581805 +/- 0.0015 # Hcoef: 6.48
The following table shows the complete astrometric record for 12WG37. 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 (12WG37) followed by the observatory code and reference code for the source of the astrometry.
2012 11 19.118854 02 35 55.05 +00 48 40.2 23.4r 12WG37 W84 C~35bM 2013 11 23.21586 02 39 18.771 +01 11 24.72 23.3i 12WG37 W84 C~4yPO 2013 12 01.19973 02 38 48.925 +01 10 11.99 23.7r 12WG37 W84 C~4yPO 2013 12 20.14218 02 37 49.111 +01 09 20.06 22.8i 12WG37 W84 C~4yPO 2014 09 24.30049 02 46 48.934 +01 55 00.56 23.5r 12WG37 W84 C~4yPO 2014 09 30.31171 02 46 30.795 +01 52 36.83 22.8i 12WG37 W84 C~4yPO 2016 09 23.29149 02 54 22.183 +02 43 26.84 23.0z 12WG37 W84 C~4yPO 2016 09 23.29285 02 54 22.170 +02 43 26.79 22.8i 12WG37 W84 C~4yPO 2016 09 24.29835 02 54 19.376 +02 43 03.25 23.5r 12WG37 W84 C~4yPO 2016 09 25.27517 02 54 16.608 +02 42 40.48 23.9g 12WG37 W84 C~4yPO 2016 10 26.224248 02 52 25.66 +02 30 58.9 23.1r 12WG37 W84 C~35bM 2016 10 26.22477 02 52 25.659 +02 30 58.96 22.6r 12WG37 W84 C~4yPO 2016 11 19.17910 02 50 45.682 +02 24 09.16 22.4i 12WG37 W84 C~4yPO 2016 11 25.140394 02 50 21.58 +02 22 58.7 23.1i 12WG37 W84 C~35bM 2016 11 25.14091 02 50 21.601 +02 22 58.54 23.1i 12WG37 W84 C~4yPO 2016 12 21.13025 02 48 51.701 +02 20 56.63 24.0r 12WG37 W84 C~4yPO 2017 09 18.330278 02 58 25.66 +03 09 56.6 23.2i 12WG37 W84 C~35bM 2017 09 18.33080 02 58 25.660 +03 09 56.57 23.2i 12WG37 W84 C~4yPO 2017 09 24.386597 02 58 10.01 +03 07 37.6 23.3r 12WG37 W84 C~35bM 2017 10 29.297407 02 56 04.54 +02 54 36.6 24.0g 12WG37 W84 C~35bM 2017 10 29.29793 02 56 04.550 +02 54 36.62 23.5g 12WG37 W84 C~4yPO 2017 10 30.24911 02 56 00.554 +02 54 17.94 23.1z 12WG37 W84 C~4yPO 2017 11 29.15750 02 53 56.124 +02 46 52.76 23.1z 12WG37 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 -0.21 0.00 0.19
2 1.0105 0.00 0.06 0.00 -0.04
3 1.0324 0.00 0.08 0.00 -0.10
4 1.0843 0.00 0.13 0.00 -0.13
5 1.8458 0.00 0.02 0.00 -0.01
6 1.8623 0.00 0.13 0.00 -0.08
7 3.8444 0.00 0.03 0.00 0.05
8 3.8444 0.00 -0.11 0.00 0.03
9 3.8472 0.00 -0.01 0.00 0.02
10 3.8498 0.00 0.11 0.00 0.15
11 3.9346 0.00 0.08 0.00 0.02
12 3.9346 0.00 0.09 0.00 0.09
13 4.0002 0.00 -0.20 0.00 -0.00
14 4.0165 0.00 -0.35 0.00 0.10
15 4.0165 0.00 -0.00 0.00 -0.06
16 4.0876 0.00 -0.10 0.00 -0.02
17 4.8301 0.00 -0.15 0.00 -0.00
18 4.8301 0.00 -0.13 0.00 -0.02
19 4.8467 0.00 -0.12 0.00 0.12
20 4.9423 0.00 0.21 0.00 -0.11
21 4.9423 0.00 0.39 0.00 -0.08
22 4.9449 0.00 -0.14 0.00 0.01
23 5.0268 0.00 0.30 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.
12WG37 quality flag:2 Type: CENTAURS SCATNEAR SCATNEAR axisobj 49.426 49.426 49.426 ecceobj 0.341 0.341 0.341 incobj 14.316 14.316 14.316 qmin 30.083 30.939 30.934 qmax 78.047 87.849 77.385 amean 49.326 53.202 50.354 amin 46.742 48.009 48.017 amax 54.931 60.428 54.812 emean 0.356 0.388 0.363 emin 0.300 0.326 0.322 emax 0.430 0.463 0.413 imean 12.183 12.511 10.730 imin 9.014 10.495 7.581 imax 15.494 14.345 13.418 excite_mean 0.415 0.445 0.409 fracstop 1.000 1.000 1.000 cjmean 2.949 2.955 2.966 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 166.5 180.7 169.6 kozaiamp 180.0 180.0 180.0