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: 12FN87 # Created Fri Apr 19 01:14:02 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 98 observations of 98 # Arc: 8.16y # First observation: 2012/03/29 # Last observation: 2020/05/26 # Chi-squared of fit: 117.56 DOF: 190 RMS: 0.19 # Min/Max residuals: -0.85 0.64 # Exact a, adot, b, bdot, g, gdot: 2.025665E-05 4.191518E-02 -4.173250E-06 -1.032708E-02 3.414691E-02 -4.221218E-03 # Covariance matrix: 1.4740E-13 -6.2987E-14 -1.8413E-14 1.1707E-14 -1.7664E-14 -1.3965E-13 -6.2987E-14 3.5257E-14 1.2416E-14 -7.8162E-15 1.4314E-14 9.3418E-14 -1.8413E-14 1.2416E-14 8.5876E-14 -2.1446E-14 5.5506E-15 3.8483E-14 1.1707E-14 -7.8162E-15 -2.1446E-14 7.0907E-15 -2.3507E-15 -2.4668E-14 -1.7664E-14 1.4314E-14 5.5506E-15 -2.3507E-15 4.1663E-14 3.0747E-14 -1.3965E-13 9.3418E-14 3.8483E-14 -2.4668E-14 3.0747E-14 2.9380E-13 # lat0 lon0 xBary yBary zBary JD0 16.059527 -153.009369 0.308277 0.263632 -0.915865 2456015.964826 # Heliocentric elements and errors Epoch: 2456016.5000 = 2012/03/30 Mean Anomaly: 342.01434 +/- 0.002 Argument of Peri: 161.04177 +/- 0.004 Long of Asc Node: 73.96708 +/- 0.000 Inclination: 20.66538 +/- 0.000 Eccentricity: 0.25186938 +/- 0.0000 Semi-Major Axis: 39.24321849 +/- 0.0012 Time of Perihelion: 2460502.6018 +/- 4.1 Perihelion: 29.35905331 +/- 0.0012 Aphelion: 49.12738368 +/- 0.0017 Period (y) 245.8415 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.06320370 +/- 0.0001 Ecliptic Y -12.92894116 +/- 0.0001 Ecliptic Z 8.10125413 +/- 0.0000 Ecliptic XDOT 0.00160607 +/- 0.0000 Ecliptic YDOT -0.00294717 +/- 0.0000 Ecliptic ZDOT -0.00088922 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 30.20069727 +/- 0.0001 Geocenter to KBO 29.28532018 +/- 0.0002 # Hcoef: 7.76
The following table shows the complete astrometric record for 12FN87. 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 (12FN87) followed by the observatory code and reference code for the source of the astrometry.
2012 03 29.46406 14 03 08.719 +04 36 26.00 22.2G 12FN87 F51 C~345r 2012 03 29.47838 14 03 08.656 +04 36 26.50 22.5G 12FN87 F51 C~345r 2012 03 29.49283 14 03 08.564 +04 36 27.12 22.4G 12FN87 F51 C~345r 2012 03 29.50734 14 03 08.483 +04 36 27.82 21.9G 12FN87 F51 C~345r 2012 04 16.49102 14 01 21.377 +04 46 36.00 22.8G 12FN87 F51 C~345r 2012 04 25.37234 14 00 26.047 +04 50 37.12 22.5G 12FN87 F51 C~345r 2013 02 05.66439 14 13 59.370 +02 41 17.23 21.6G 12FN87 F51 C~345r 2013 03 20.54087 14 12 06.430 +03 05 51.49 22.9G 12FN87 F51 C~345r 2013 04 02.54471 14 10 57.612 +03 13 50.39 23.0G 12FN87 F51 C~345r 2013 04 22.48712 14 08 56.739 +03 24 21.58 22.0G 12FN87 F51 C~345r 2014 04 05.43282 14 18 56.339 +01 49 28.59 22.5G 12FN87 F51 C~345r 2014 04 05.44505 14 18 56.285 +01 49 29.05 22.6G 12FN87 F51 C~345r 2014 04 05.45731 14 18 56.178 +01 49 29.22 22.5G 12FN87 F51 C~345r 2014 04 05.46957 14 18 56.120 +01 49 30.03 22.9G 12FN87 F51 C~345r 2014 05 05.41502 14 15 51.522 +02 03 23.49 23.5G 12FN87 F51 C~345r 2014 05 25.38370 14 13 54.449 +02 07 36.16 21.9G 12FN87 F51 C~345r 2014 05 25.39673 14 13 54.376 +02 07 36.33 22.1G 12FN87 F51 C~345r 2014 05 25.40976 14 13 54.324 +02 07 36.03 22.1G 12FN87 F51 C~345r 2014 05 25.42287 14 13 54.237 +02 07 36.26 22.1G 12FN87 F51 C~345r 2014 05 31.42013 14 13 23.258 +02 07 51.64 22.8G 12FN87 F51 C~345r 2014 05 31.43274 14 13 23.188 +02 07 51.94 22.4G 12FN87 F51 C~345r 2014 05 31.44533 14 13 23.145 +02 07 51.62 22.0G 12FN87 F51 C~345r 2015 01 30.58797 14 30 01.565 -00 09 31.47 22.3G 12FN87 F51 C~345r 2015 01 30.60006 14 30 01.584 -00 09 31.41 22.1G 12FN87 F51 C~345r 2015 01 30.61214 14 30 01.589 -00 09 31.41 22.3G 12FN87 F51 C~345r 2015 01 30.62425 14 30 01.604 -00 09 31.21 22.1G 12FN87 F51 C~345r 2015 02 23.59825 14 29 56.192 -00 00 07.25 23.1G 12FN87 F51 C~345r 2015 02 23.61132 14 29 56.183 -00 00 06.88 22.4G 12FN87 F51 C~345r 2015 02 23.62436 14 29 56.158 -00 00 06.41 22.3G 12FN87 F51 C~345r 2015 02 23.63738 14 29 56.142 -00 00 06.21 22.7G 12FN87 F51 C~345r 2015 02 24.58616 14 29 54.391 +00 00 22.28 21.9G 12FN87 F51 C~345r 2015 02 24.59917 14 29 54.356 +00 00 22.00 22.4G 12FN87 F51 C~345r 2015 02 24.61221 14 29 54.346 +00 00 22.77 22.3G 12FN87 F51 C~345r 2015 02 24.62524 14 29 54.317 +00 00 23.61 21.8G 12FN87 F51 C~345r 2015 03 20.55038 14 28 36.403 +00 13 33.29 22.1G 12FN87 F51 C~345r 2015 03 20.57660 14 28 36.280 +00 13 34.10 21.9G 12FN87 F51 C~345r 2015 03 21.54874 14 28 31.907 +00 14 07.93 22.5G 12FN87 F51 C~345r 2015 03 21.56150 14 28 31.833 +00 14 08.38 22.2G 12FN87 F51 C~345r 2015 03 22.50602 14 28 27.465 +00 14 41.26 23.2G 12FN87 F51 C~345r 2015 03 22.51966 14 28 27.415 +00 14 42.04 22.1G 12FN87 F51 C~345r 2015 03 22.53341 14 28 27.351 +00 14 42.44 22.4G 12FN87 F51 C~345r 2015 03 22.54713 14 28 27.280 +00 14 42.78 22.1G 12FN87 F51 C~345r 2015 04 12.53219 14 26 33.813 +00 26 28.37 21.7G 12FN87 F51 C~345r 2016 03 06.59871 14 37 43.668 -01 20 24.27 22.9G 12FN87 F51 C~345r 2016 03 06.61136 14 37 43.616 -01 20 23.81 22.5G 12FN87 F51 C~345r 2016 03 06.62401 14 37 43.582 -01 20 23.46 22.9G 12FN87 F51 C~345r 2016 03 06.63679 14 37 43.546 -01 20 23.20 22.2G 12FN87 F51 C~345r 2016 03 08.52101 14 37 37.817 -01 19 24.37 23.1G 12FN87 F51 C~345r 2016 03 31.45781 14 35 59.370 -01 06 54.90 22.3G 12FN87 F51 C~345r 2016 03 31.49474 14 35 59.132 -01 06 54.23 22.5G 12FN87 F51 C~345r 2016 04 03.49210 14 35 43.034 -01 05 16.28 22.9G 12FN87 F51 C~345r 2016 04 03.50413 14 35 42.972 -01 05 15.74 22.4G 12FN87 F51 C~345r 2016 04 03.51613 14 35 42.898 -01 05 15.50 22.3G 12FN87 F51 C~345r 2016 04 03.52814 14 35 42.839 -01 05 15.07 22.5G 12FN87 F51 C~345r 2016 04 04.46908 14 35 37.656 -01 04 44.75 20.9G 12FN87 F51 C~345r 2016 04 26.44175 14 33 24.820 -00 54 01.22 21.0G 12FN87 F51 C~345r 2016 05 01.42495 14 32 53.132 -00 52 01.94 22.0G 12FN87 F51 C~345r 2016 05 01.43763 14 32 53.071 -00 52 01.16 22.5G 12FN87 F51 C~345r 2016 05 01.45034 14 32 52.959 -00 52 00.94 23.0G 12FN87 F51 C~345r 2016 05 01.46305 14 32 52.887 -00 52 00.60 22.4G 12FN87 F51 C~345r 2016 06 28.30673 14 27 59.248 -00 48 40.60 21.9G 12FN87 F51 C~345r 2016 06 28.31976 14 27 59.210 -00 48 40.61 21.8G 12FN87 F51 C~345r 2016 06 28.33279 14 27 59.171 -00 48 40.78 22.4G 12FN87 F51 C~345r 2016 06 28.34580 14 27 59.141 -00 48 41.17 22.3G 12FN87 F51 C~345r 2016 08 01.27953 14 27 35.051 -01 05 54.96 22.4G 12FN87 F51 C~345r 2016 08 01.28546 14 27 35.048 -01 05 55.42 22.2G 12FN87 F51 C~345r 2016 08 01.29435 14 27 35.053 -01 05 55.89 22.4G 12FN87 F51 C~345r 2016 08 01.29731 14 27 35.055 -01 05 55.98 22.2G 12FN87 F51 C~345r 2016 08 01.30028 14 27 35.076 -01 05 55.93 22.5G 12FN87 F51 C~345r 2016 08 01.30402 14 27 35.082 -01 05 55.84 22.2G 12FN87 F51 C~345r 2016 08 01.30698 14 27 35.065 -01 05 56.32 22.2G 12FN87 F51 C~345r 2016 08 01.30996 14 27 35.079 -01 05 56.49 22.6G 12FN87 F51 C~345r 2016 08 01.31291 14 27 35.097 -01 05 55.99 21.4G 12FN87 F51 C~345r 2016 08 01.31590 14 27 35.082 -01 05 56.66 22.5G 12FN87 F51 C~345r 2016 08 01.31888 14 27 35.089 -01 05 56.89 23.1G 12FN87 F51 C~345r 2016 08 01.32184 14 27 35.079 -01 05 56.76 22.4G 12FN87 F51 C~345r 2016 08 01.32483 14 27 35.075 -01 05 57.11 22.6G 12FN87 F51 C~345r 2017 03 07.56944 14 46 01.879 -02 46 47.79 22.7G 12FN87 F51 C~345r 2017 03 07.58269 14 46 01.836 -02 46 47.56 22.4G 12FN87 F51 C~345r 2017 03 07.59591 14 46 01.769 -02 46 47.30 23.1G 12FN87 F51 C~345r 2017 03 07.60912 14 46 01.770 -02 46 46.63 22.5G 12FN87 F51 C~345r 2017 03 26.60514 14 44 49.302 -02 37 09.40 22.8G 12FN87 F51 C~345r 2017 03 26.61770 14 44 49.234 -02 37 09.37 22.4G 12FN87 F51 C~345r 2017 03 26.63023 14 44 49.180 -02 37 08.51 22.4G 12FN87 F51 C~345r 2017 04 03.57424 14 44 08.967 -02 32 59.95 22.3G 12FN87 F51 C~345r 2017 04 26.44175 14 41 52.662 -02 22 03.63 22.5G 12FN87 F51 C~345r 2017 04 26.45426 14 41 52.587 -02 22 03.27 22.3G 12FN87 F51 C~345r 2017 04 26.46672 14 41 52.488 -02 22 03.28 22.3G 12FN87 F51 C~345r 2017 04 26.47912 14 41 52.418 -02 22 02.73 22.3G 12FN87 F51 C~345r 2017 05 17.30885 14 39 40.188 -02 15 03.07 22.1G 12FN87 F51 C~345r 2017 05 17.32049 14 39 40.089 -02 15 03.29 22.1G 12FN87 F51 C~345r 2017 05 17.33215 14 39 40.035 -02 15 02.78 22.3G 12FN87 F51 C~345r 2017 05 17.34379 14 39 39.976 -02 15 02.77 22.3G 12FN87 F51 C~345r 2018 03 17.57325 14 53 55.655 -04 09 13.13 22.5G 12FN87 F51 C~345r 2020 05 26.36649 15 04 22.568 -06 37 32.28 22.2w 12FN87 F51 C~3vQO 2020 05 26.37681 15 04 22.493 -06 37 31.91 22.2w 12FN87 F51 C~3vQO 2020 05 26.38716 15 04 22.443 -06 37 31.62 22.4w 12FN87 F51 C~3vQO 2020 05 26.39750 15 04 22.373 -06 37 31.49 22.3w 12FN87 F51 C~3vQO
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 -0.06
2 0.0000 0.00 0.07 0.00 -0.09
3 0.0001 0.00 -0.08 0.00 -0.00
4 0.0001 0.00 -0.05 0.00 0.16
5 0.0494 0.00 -0.37 0.00 0.14
6 0.0737 0.00 0.51 0.00 -0.02
7 0.8575 0.00 0.28 0.00 -0.85
8 0.9749 0.00 -0.23 0.00 0.00
9 1.0105 0.00 -0.11 0.00 -0.03
10 1.0651 0.00 0.08 0.00 0.05
11 2.0177 0.00 -0.08 0.00 -0.07
12 2.0177 0.00 0.19 0.00 -0.03
13 2.0178 0.00 -0.34 0.00 -0.28
14 2.0178 0.00 -0.13 0.00 0.11
15 2.0998 0.00 -0.12 0.00 -0.10
16 2.1545 0.00 -0.01 0.00 0.22
17 2.1545 0.00 -0.03 0.00 0.32
18 2.1545 0.00 0.26 0.00 -0.04
19 2.1546 0.00 0.03 0.00 0.12
20 2.1710 0.00 -0.19 0.00 -0.32
21 2.1710 0.00 -0.29 0.00 -0.03
22 2.1711 0.00 0.02 0.00 -0.35
23 2.8395 0.00 0.03 0.00 0.33
24 2.8395 0.00 0.09 0.00 0.19
25 2.8396 0.00 -0.06 0.00 -0.01
26 2.8396 0.00 -0.06 0.00 -0.01
27 2.9052 0.00 -0.11 0.00 0.01
28 2.9053 0.00 0.13 0.00 -0.01
29 2.9053 0.00 0.12 0.00 0.08
30 2.9053 0.00 0.25 0.00 -0.11
31 2.9079 0.00 0.04 0.00 0.26
32 2.9080 0.00 -0.10 0.00 -0.41
33 2.9080 0.00 0.15 0.00 -0.03
34 2.9080 0.00 0.11 0.00 0.42
35 2.9735 0.00 -0.11 0.00 0.10
36 2.9736 0.00 -0.15 0.00 0.00
37 2.9763 0.00 0.29 0.00 -0.02
38 2.9763 0.00 0.08 0.00 -0.02
39 2.9789 0.00 -0.13 0.00 -0.04
40 2.9789 0.00 0.10 0.00 0.27
41 2.9790 0.00 0.12 0.00 0.19
42 2.9790 0.00 0.04 0.00 0.05
43 3.0365 0.00 0.01 0.00 -0.16
44 3.9374 0.00 0.24 0.00 -0.06
45 3.9374 0.00 0.04 0.00 0.01
46 3.9375 0.00 0.11 0.00 -0.03
47 3.9375 0.00 0.15 0.00 -0.17
48 3.9427 0.00 0.11 0.00 0.14
49 4.0055 0.00 0.05 0.00 0.29
50 4.0056 0.00 -0.54 0.00 -0.25
51 4.0138 0.00 -0.00 0.00 0.01
52 4.0138 0.00 0.08 0.00 0.16
53 4.0138 0.00 -0.02 0.00 0.01
54 4.0139 0.00 0.10 0.00 0.05
55 4.0164 0.00 0.11 0.00 -0.03
56 4.0766 0.00 -0.58 0.00 0.18
57 4.0902 0.00 -0.07 0.00 -0.40
58 4.0903 0.00 0.25 0.00 0.09
59 4.0903 0.00 -0.19 0.00 0.02
60 4.0903 0.00 -0.03 0.00 0.07
61 4.2487 0.00 -0.01 0.00 -0.15
62 4.2487 0.00 -0.03 0.00 0.08
63 4.2488 0.00 -0.06 0.00 0.15
64 4.2488 0.00 0.04 0.00 -0.00
65 4.3417 0.00 0.30 0.00 0.28
66 4.3417 0.00 0.14 0.00 0.07
67 4.3418 0.00 0.04 0.00 -0.03
68 4.3418 0.00 0.01 0.00 -0.00
69 4.3418 0.00 0.27 0.00 0.17
70 4.3418 0.00 0.29 0.00 0.42
71 4.3418 0.00 -0.03 0.00 0.06
72 4.3418 0.00 0.13 0.00 0.02
73 4.3418 0.00 0.34 0.00 0.64
74 4.3418 0.00 0.05 0.00 0.09
75 4.3418 0.00 0.10 0.00 -0.01
76 4.3418 0.00 -0.11 0.00 0.24
77 4.3419 0.00 -0.23 0.00 0.01
78 4.9394 0.00 0.02 0.00 -0.07
79 4.9394 0.00 -0.05 0.00 -0.22
80 4.9394 0.00 -0.48 0.00 -0.34
81 4.9395 0.00 0.12 0.00 -0.04
82 4.9915 0.00 -0.14 0.00 -0.11
83 4.9915 0.00 -0.25 0.00 -0.47
84 4.9916 0.00 -0.14 0.00 -0.01
85 5.0133 0.00 0.10 0.00 -0.13
86 5.0759 0.00 -0.01 0.00 0.01
87 5.0759 0.00 0.08 0.00 0.05
88 5.0760 0.00 -0.19 0.00 -0.27
89 5.0760 0.00 -0.03 0.00 -0.04
90 5.1330 0.00 -0.03 0.00 0.16
91 5.1331 0.00 -0.42 0.00 -0.23
92 5.1331 0.00 -0.13 0.00 0.11
93 5.1331 0.00 0.08 0.00 -0.04
94 5.9661 0.00 0.21 0.00 0.02
95 8.1585 0.00 -0.02 0.00 -0.33
96 8.1586 0.00 -0.16 0.00 -0.07
97 8.1586 0.00 0.07 0.00 0.10
98 8.1586 0.00 -0.01 0.00 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.
12FN87 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.158 39.158 39.158 ecceobj 0.251 0.251 0.251 incobj 20.656 20.656 20.656 qmin 26.773 26.774 26.777 qmax 52.776 52.785 52.781 amean 39.454 39.454 39.454 amin 39.024 39.039 39.028 amax 40.000 40.003 39.999 emean 0.260 0.260 0.260 emin 0.168 0.168 0.168 emax 0.320 0.320 0.320 imean 18.981 18.978 18.980 imin 16.068 16.060 16.064 imax 22.322 22.323 22.325 excite_mean 0.420 0.420 0.420 fracstop 1.000 1.000 1.000 cjmean 2.850 2.850 2.850 libcent 0 179.6 179.2 179.6 libamp 0 74.5 74.3 74.3 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 86.3 86.4 86.4 kozaiamp 70.3 70.3 70.3