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: 12WF37 # Created Tue Apr 23 01:14:06 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 58 observations of 58 # Arc: 11.01y # First observation: 2012/11/16 # Last observation: 2023/11/19 # Chi-squared of fit: 18.03 DOF: 110 RMS: 0.10 # Min/Max residuals: -0.29 0.42 # Exact a, adot, b, bdot, g, gdot: 1.808442E-05 3.906164E-02 -6.064295E-06 -1.055205E-02 3.325396E-02 -8.746269E-03 # Covariance matrix: 9.1945E-14 -3.5195E-14 -1.0253E-14 7.1283E-15 -1.9191E-14 -5.5433E-14 -3.5195E-14 2.0521E-14 7.0089E-15 -4.8316E-15 9.1910E-15 3.7775E-14 -1.0253E-14 7.0089E-15 5.5710E-14 -1.0822E-14 7.7627E-16 1.5087E-14 7.1283E-15 -4.8316E-15 -1.0822E-14 4.0496E-15 -2.1674E-15 -1.0286E-14 -1.9191E-14 9.1910E-15 7.7627E-16 -2.1674E-15 1.5693E-13 8.8396E-15 -5.5433E-14 3.7775E-14 1.5087E-14 -1.0286E-14 8.8396E-15 8.0985E-14 # lat0 lon0 xBary yBary zBary JD0 -12.369808 31.012990 -0.384653 -0.194416 -0.886896 2456247.623695 # Heliocentric elements and errors Epoch: 2456248.5000 = 2012/11/17 Mean Anomaly: 329.36710 +/- 0.004 Argument of Peri: 274.58476 +/- 0.006 Long of Asc Node: 173.60728 +/- 0.000 Inclination: 19.00599 +/- 0.000 Eccentricity: 0.29491585 +/- 0.0000 Semi-Major Axis: 39.66781001 +/- 0.0026 Time of Perihelion: 2464013.4990 +/- 8.3 Perihelion: 27.96914423 +/- 0.0022 Aphelion: 51.36647579 +/- 0.0036 Period (y) 249.8421 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 25.75580566 +/- 0.0003 Ecliptic Y 15.93448547 +/- 0.0002 Ecliptic Z -6.44219041 +/- 0.0001 Ecliptic XDOT -0.00242540 +/- 0.0000 Ecliptic YDOT 0.00229979 +/- 0.0000 Ecliptic ZDOT -0.00069421 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.96414948 +/- 0.0003 Geocenter to KBO 30.07177438 +/- 0.0004 # Hcoef: 8.13
The following table shows the complete astrometric record for 12WF37. 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 (12WF37) followed by the observatory code and reference code for the source of the astrometry.
2012 11 16.122917 02 12 38.06 +00 12 32.1 24.1g 12WF37 W84 C~35bM 2012 11 16.124282 02 12 38.04 +00 12 31.8 22.8r 12WF37 W84 C~35bM 2012 11 16.142697 02 12 37.94 +00 12 31.4 23.9g 12WF37 W84 C~35bM 2012 11 16.144063 02 12 37.94 +00 12 31.4 23.1r 12WF37 W84 C~35bM 2012 12 06.122905 02 10 58.55 +00 06 23.3 23.0r 12WF37 W84 C~35bM 2012 12 06.125637 02 10 58.54 +00 06 23.3 23.1r 12WF37 W84 C~35bM 2012 12 06.128380 02 10 58.53 +00 06 23.3 23.2r 12WF37 W84 C~35bM 2012 12 07.167037 02 10 54.14 +00 06 12.8 22.8i 12WF37 W84 C~35bM 2012 12 07.170625 02 10 54.14 +00 06 12.4 22.2i 12WF37 W84 C~35bM 2013 11 08.229572 02 22 45.55 +00 28 10.3 22.9r 12WF37 W84 C~35bM 2013 11 08.23010 02 22 45.543 +00 28 10.31 22.9r 12WF37 W84 C~4yPO 2013 11 08.23010 02 22 45.54 +00 28 10.3 23.1r 12WF37 W84 C~3cjt 2013 11 08.24728 02 22 45.45 +00 28 09.7 22.8i 12WF37 W84 C~3cjt 2013 11 08.25523 02 22 45.383 +00 28 09.42 23.7g 12WF37 W84 C~4yPO 2013 11 08.25523 02 22 45.38 +00 28 09.4 23.7g 12WF37 W84 C~3cjt 2013 11 08.25662 02 22 45.385 +00 28 09.42 22.9r 12WF37 W84 C~4yPO 2013 11 08.25662 02 22 45.39 +00 28 09.4 23.0r 12WF37 W84 C~3cjt 2013 11 13.14207 02 22 16.580 +00 25 44.53 22.4z 12WF37 W84 C~4yPO 2013 11 13.14207 02 22 16.58 +00 25 44.5 22.5z 12WF37 W84 C~3cjt 2013 12 01.19127 02 20 38.639 +00 19 09.02 23.6g 12WF37 W84 C~4yPO 2013 12 01.19127 02 20 38.64 +00 19 09.0 23.7g 12WF37 W84 C~3cjt 2013 12 21.12090 02 19 17.952 +00 16 45.34 22.9z 12WF37 W84 C~4yPO 2014 09 24.29907 02 36 25.690 +01 10 14.99 24.2g 12WF37 W84 C~4yPO 2014 09 24.29907 02 36 25.69 +01 10 15.0 24.2g 12WF37 W84 C~3cjt 2014 10 21.30882 02 34 05.382 +00 50 56.79 22.9r 12WF37 W84 C~4yPO 2014 10 21.30882 02 34 05.38 +00 50 56.8 23.0r 12WF37 W84 C~3cjt 2014 10 21.311042 02 34 05.34 +00 50 56.6 23.6g 12WF37 W84 C~35bM 2014 10 21.31157 02 34 05.356 +00 50 56.56 23.9g 12WF37 W84 C~4yPO 2014 11 03.27510 02 32 47.163 +00 42 52.39 22.2z 12WF37 W84 C~4yPO 2015 01 16.06930 02 27 50.305 +00 33 05.24 22.7z 12WF37 W84 C~4yPO 2015 12 14.16575 02 38 39.131 +00 40 22.39 22.5i 12WF37 W84 C~4yPO 2015 12 14.16575 02 38 39.13 +00 40 22.4 22.5i 12WF37 W84 C~3cjt 2015 12 14.16712 02 38 39.122 +00 40 22.27 23.0r 12WF37 W84 C~4yPO 2015 12 14.16712 02 38 39.12 +00 40 22.3 23.1r 12WF37 W84 C~3cjt 2015 12 14.16849 02 38 39.113 +00 40 22.43 23.5g 12WF37 W84 C~4yPO 2015 12 14.16849 02 38 39.12 +00 40 22.4 23.9g 12WF37 W84 C~3cjt 2016 09 23.28735 02 55 49.569 +01 34 37.16 22.3i 12WF37 W84 C~4yPO 2016 09 23.28735 02 55 49.57 +01 34 37.2 22.2i 12WF37 W84 C~3cjt 2016 10 28.22715 02 52 48.540 +01 10 03.93 22.1i 12WF37 W84 C~4yPO 2016 10 28.22715 02 52 48.54 +01 10 03.9 22.3i 12WF37 W84 C~3cjt 2016 10 29.22407 02 52 42.435 +01 09 26.81 22.9r 12WF37 W84 C~4yPO 2016 10 29.22407 02 52 42.43 +01 09 26.8 22.9r 12WF37 W84 C~3cjt 2016 11 10.25462 02 51 27.716 +01 02 38.30 22.3z 12WF37 W84 C~4yPO 2016 11 10.25462 02 51 27.71 +01 02 38.3 22.3z 12WF37 W84 C~3cjt 2016 11 25.043866 02 49 57.82 +00 56 16.4 23.1r 12WF37 W84 C~35bM 2016 11 25.045926 02 49 57.80 +00 56 16.3 22.7i 12WF37 W84 C~35bM 2016 11 25.048576 02 49 57.79 +00 56 16.1 22.4z 12WF37 W84 C~35bM 2016 11 25.051215 02 49 57.77 +00 56 16.2 22.4z 12WF37 W84 C~35bM 2016 12 05.19069 02 49 01.249 +00 53 25.76 22.9r 12WF37 W84 C~4yPO 2016 12 05.19069 02 49 01.25 +00 53 25.8 22.9r 12WF37 W84 C~3cjt 2017 11 22.167025 03 00 11.11 +01 09 18.0 22.3z 12WF37 W84 C~35bM 2017 11 22.16756 03 00 11.111 +01 09 17.92 22.3z 12WF37 W84 C~4yPO 2021 01 11.137320 03 26 34.021 +01 41 48.55 22.9G 12WF37 G37 C~4U9C 2021 01 11.203370 03 26 33.826 +01 41 49.57 12WF37 G37 C~4U9C 2021 01 11.248530 03 26 33.691 +01 41 50.21 12WF37 G37 C~4U9C 2023 11 19.81852 04 03 04.67 +02 21 16.5 22.7w 12WF37 O18 C~7X3W 2023 11 19.82486 04 03 04.64 +02 21 16.4 23.0w 12WF37 O18 C~7X3W 2023 11 19.83119 04 03 04.59 +02 21 16.1 22.8w 12WF37 O18 C~7X3W
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 0.24
2 0.0000 0.00 -0.16 0.00 -0.03
3 0.0001 0.00 -0.10 0.00 0.05
4 0.0001 0.00 0.02 0.00 0.08
5 0.0548 0.00 -0.01 0.00 0.09
6 0.0548 0.00 0.02 0.00 0.12
7 0.0548 0.00 0.05 0.00 0.15
8 0.0576 0.00 -0.18 0.00 0.42
9 0.0576 0.00 0.04 0.00 0.05
10 0.9777 0.00 0.04 0.00 -0.00
11 0.9777 0.00 -0.06 0.00 0.01
12 0.9777 0.00 -0.02 0.00 0.02
13 0.9778 0.00 0.15 0.00 -0.05
14 0.9778 0.00 -0.18 0.00 -0.10
15 0.9778 0.00 -0.13 0.00 -0.08
16 0.9778 0.00 0.10 0.00 -0.06
17 0.9778 0.00 0.02 0.00 -0.04
18 0.9912 0.00 0.08 0.00 -0.09
19 0.9912 0.00 0.08 0.00 -0.06
20 1.0406 0.00 0.00 0.00 -0.15
21 1.0406 0.00 -0.01 0.00 -0.13
22 1.0951 0.00 0.05 0.00 -0.04
23 1.8540 0.00 -0.01 0.00 0.06
24 1.8540 0.00 -0.01 0.00 0.05
25 1.9280 0.00 0.11 0.00 -0.03
26 1.9280 0.00 0.14 0.00 -0.04
27 1.9280 0.00 -0.29 0.00 -0.14
28 1.9280 0.00 0.00 0.00 -0.16
29 1.9635 0.00 0.01 0.00 -0.28
30 2.1655 0.00 0.15 0.00 0.08
31 3.0747 0.00 0.05 0.00 0.08
32 3.0747 0.00 0.03 0.00 0.09
33 3.0747 0.00 -0.02 0.00 0.00
34 3.0747 0.00 0.01 0.00 -0.03
35 3.0747 0.00 0.07 0.00 0.11
36 3.0747 0.00 -0.04 0.00 0.14
37 3.8526 0.00 0.06 0.00 0.07
38 3.8526 0.00 0.05 0.00 0.03
39 3.9483 0.00 0.07 0.00 -0.06
40 3.9483 0.00 0.07 0.00 -0.03
41 3.9510 0.00 -0.07 0.00 -0.06
42 3.9510 0.00 0.01 0.00 -0.05
43 3.9839 0.00 0.01 0.00 -0.07
44 3.9839 0.00 0.10 0.00 -0.07
45 4.0244 0.00 -0.02 0.00 -0.01
46 4.0244 0.00 -0.14 0.00 -0.07
47 4.0244 0.00 -0.05 0.00 -0.21
48 4.0244 0.00 -0.12 0.00 -0.06
49 4.0522 0.00 0.06 0.00 0.03
50 4.0522 0.00 0.05 0.00 -0.01
51 5.0159 0.00 0.02 0.00 0.07
52 5.0159 0.00 0.08 0.00 0.00
53 8.1534 0.00 0.03 0.00 0.13
54 8.1535 0.00 -0.05 0.00 0.06
55 8.1537 0.00 -0.13 0.00 -0.05
56 11.0081 0.00 -0.08 0.00 0.04
57 11.0081 0.00 0.11 0.00 0.11
58 11.0081 0.00 -0.00 0.00 -0.03
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.
12WF37 quality flag:3 Type: 3:2E 3:2E 3:2E Type: 6:4II 6:4II 6:4II axisobj 39.751 39.751 39.751 ecceobj 0.294 0.294 0.294 incobj 18.970 18.970 18.970 qmin 27.642 27.643 27.642 qmax 51.571 51.569 51.572 amean 39.453 39.453 39.453 amin 39.036 39.036 39.038 amax 39.893 39.892 39.894 emean 0.252 0.252 0.252 emin 0.203 0.203 0.203 emax 0.297 0.297 0.297 imean 20.091 20.091 20.091 imin 18.222 18.221 18.222 imax 21.833 21.833 21.834 excite_mean 0.427 0.427 0.427 fracstop 1.000 1.000 1.000 cjmean 2.842 2.842 2.842 libcent 0 179.4 179.4 179.3 libamp 0 51.6 51.5 51.8 libcent 1 178.9 178.9 179.0 libamp 1 159.8 159.7 159.6 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 271.9 271.9 271.9 kozaiamp 39.7 39.7 39.7