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: 15FK345 # Created Fri Nov 22 02:10:17 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 70 observations of 70 # Arc: 4.40y # First observation: 2012/02/03 # Last observation: 2016/06/28 # Chi-squared of fit: 87.48 DOF: 134 RMS: 0.20 # Min/Max residuals: -0.84 0.54 # Exact a, adot, b, bdot, g, gdot: 4.413462E-05 5.051604E-01 1.490834E-06 2.174608E-02 1.810800E-01 -5.251008E-02 # Covariance matrix: 2.6180E-13 -3.2125E-14 3.1818E-16 1.2141E-15 4.0039E-14 8.3970E-15 -3.2125E-14 6.7809E-14 4.1522E-16 1.7340E-15 4.8801E-14 1.2211E-14 3.1818E-16 4.1522E-16 2.3507E-13 -6.6656E-14 4.7075E-16 1.0262E-16 1.2141E-15 1.7340E-15 -6.6656E-14 2.1181E-14 1.5821E-15 4.9063E-16 4.0039E-14 4.8801E-14 4.7075E-16 1.5821E-15 6.4176E-14 1.0630E-14 8.3970E-15 1.2211E-14 1.0262E-16 4.9063E-16 1.0630E-14 3.5379E-15 # lat0 lon0 xBary yBary zBary JD0 -5.337014 137.261347 0.054192 -0.091627 -0.980948 2455961.036396 # Heliocentric elements and errors Epoch: 2455960.5000 = 2012/02/03 Mean Anomaly: 346.52042 +/- 0.000 Argument of Peri: 325.81025 +/- 0.000 Long of Asc Node: 197.67598 +/- 0.000 Inclination: 5.18057 +/- 0.001 Eccentricity: 0.31613361 +/- 0.0000 Semi-Major Axis: 9.26329874 +/- 0.0000 Time of Perihelion: 2456346.0855 +/- 0.0 Perihelion: 6.33485866 +/- 0.0000 Aphelion: 12.19173883 +/- 0.0000 Period (y) 28.1940 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -4.72229090 +/- 0.0000 Ecliptic Y 4.44130184 +/- 0.0000 Ecliptic Z -0.51366118 +/- 0.0000 Ecliptic XDOT -0.00462987 +/- 0.0000 Ecliptic YDOT -0.00612099 +/- 0.0000 Ecliptic ZDOT 0.00040131 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 6.50302894 +/- 0.0000 Geocenter to KBO 5.52248029 +/- 0.0000 # Hcoef: 14.00
The following table shows the complete astrometric record for 15FK345. 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 (15FK345) followed by the observatory code and reference code for the source of the astrometry.
2012 02 03.53563 09 12 15.464 +10 34 13.70 21.6i 15FK345 F51 C~1vYV 2012 02 03.54852 09 12 15.152 +10 34 15.09 21.5i 15FK345 F51 C~1vYV 2012 02 03.58203 09 12 14.349 +10 34 18.89 21.8r 15FK345 F51 C~1vYV 2013 03 05.42826 10 56 53.007 +03 03 55.66 21.9w 15FK345 F51 C~1vYV 2013 03 05.44321 10 56 52.678 +03 03 58.33 22.1w 15FK345 F51 C~1vYV 2013 03 05.45816 10 56 52.329 +03 04 00.64 21.9w 15FK345 F51 C~1vYV 2013 12 06.641209 12 40 38.866 -05 39 32.75 22.5G 15FK345 F51 C~444T 2013 12 06.645154 12 40 38.988 -05 39 34.25 22.9G 15FK345 F51 C~444T 2014 02 26.518043 12 52 11.605 -06 31 59.29 22.1G 15FK345 F51 C~444T 2014 02 26.530406 12 52 11.437 -06 31 57.78 21.5G 15FK345 F51 C~444T 2014 04 04.425953 12 40 30.061 -05 02 52.56 22.2G 15FK345 F51 C~444T 2014 04 04.437296 12 40 29.834 -05 02 50.53 21.4G 15FK345 F51 C~444T 2014 04 23.349698 12 34 11.655 -04 13 29.75 22.1G 15FK345 F51 C~444T 2014 04 23.362194 12 34 11.439 -04 13 27.98 22.2G 15FK345 F51 C~444T 2014 04 23.374662 12 34 11.200 -04 13 26.27 21.8G 15FK345 F51 C~444T 2014 04 23.387146 12 34 10.978 -04 13 24.04 21.7G 15FK345 F51 C~444T 2014 04 29.30507 12 32 31.373 -03 59 50.94 22.3w 15FK345 F51 C~1vYV 2014 04 29.31703 12 32 31.167 -03 59 49.64 22.1w 15FK345 F51 C~1vYV 2014 04 29.32899 12 32 30.984 -03 59 48.11 22.1w 15FK345 F51 C~1vYV 2014 04 29.34098 12 32 30.785 -03 59 46.34 22.2w 15FK345 F51 C~1vYV 2014 05 25.333006 12 28 10.237 -03 19 20.63 22.2G 15FK345 F51 C~444T 2014 05 25.344421 12 28 10.186 -03 19 20.05 22.7G 15FK345 F51 C~444T 2014 05 25.355863 12 28 10.137 -03 19 19.33 22.7G 15FK345 F51 C~444T 2014 05 25.367321 12 28 10.105 -03 19 18.56 22.5G 15FK345 F51 C~444T 2015 01 20.647899 14 25 50.498 -13 15 51.60 22.9G 15FK345 F51 C~444T 2015 01 20.653161 14 25 50.594 -13 15 52.33 23.2G 15FK345 F51 C~444T 2015 01 22.647529 14 26 27.828 -13 17 55.41 23.2G 15FK345 F51 C~444T 2015 01 22.651683 14 26 27.893 -13 17 55.68 22.3G 15FK345 F51 C~444T 2015 01 22.659965 14 26 28.046 -13 17 56.16 23.1G 15FK345 F51 C~444T 2015 03 17.552395 14 29 28.809 -13 03 15.11 22.6G 15FK345 F51 C~444T 2015 03 17.565460 14 29 28.649 -13 03 14.05 22.4G 15FK345 F51 C~444T 2015 03 17.578473 14 29 28.498 -13 03 12.76 22.1G 15FK345 F51 C~444T 2015 03 17.591501 14 29 28.344 -13 03 11.91 22.4G 15FK345 F51 C~444T 2015 03 18.52586 14 29 17.598 -13 01 48.48 22.4w 15FK345 F51 C~1vYV 2015 03 18.53866 14 29 17.443 -13 01 47.02 22.4w 15FK345 F51 C~1vYV 2015 03 18.55137 14 29 17.292 -13 01 46.20 22.6w 15FK345 F51 C~1vYV 2015 03 19.50741 14 29 05.838 -13 00 19.07 22.5w 15FK345 F51 C~1vYV 2015 03 19.51998 14 29 05.657 -13 00 18.01 22.5w 15FK345 F51 C~1vYV 2015 03 19.53677 14 29 05.460 -13 00 16.38 22.4w 15FK345 F51 C~1vYV 2015 03 19.56265 14 29 05.113 -13 00 13.78 22.4w 15FK345 F51 C~1vYV 2015 04 23.39143 14 18 31.764 -11 50 55.11 21.9w 15FK345 F51 C~1vYV 2015 04 23.40393 14 18 31.486 -11 50 53.38 22.3w 15FK345 F51 C~1vYV 2015 04 23.41644 14 18 31.195 -11 50 51.70 21.9w 15FK345 F51 C~1vYV 2015 04 23.42893 14 18 30.921 -11 50 50.22 22.0w 15FK345 F51 C~1vYV 2015 04 24.47712 14 18 08.188 -11 48 30.25 21.8w 15FK345 F51 C~1vYV 2015 04 24.48926 14 18 07.908 -11 48 28.49 22.0w 15FK345 F51 C~1vYV 2015 04 24.50138 14 18 07.653 -11 48 27.04 22.2w 15FK345 F51 C~1vYV 2015 04 24.51348 14 18 07.392 -11 48 25.39 22.3w 15FK345 F51 C~1vYV 2015 04 25.456256 14 17 46.931 -11 46 19.36 22.1G 15FK345 F51 C~444T 2015 04 25.468488 14 17 46.687 -11 46 17.83 21.6G 15FK345 F51 C~444T 2015 04 25.480583 14 17 46.414 -11 46 16.15 22.1G 15FK345 F51 C~444T 2015 04 25.493103 14 17 46.117 -11 46 14.55 22.0G 15FK345 F51 C~444T 2015 04 26.417213 14 17 26.111 -11 44 11.32 21.8G 15FK345 F51 C~444T 2015 04 26.427982 14 17 25.858 -11 44 09.91 21.5G 15FK345 F51 C~444T 2015 05 22.37561 14 08 43.251 -10 51 27.71 22.2w 15FK345 F51 C~1vYV 2015 05 22.38890 14 08 43.012 -10 51 26.24 22.4w 15FK345 F51 C~1vYV 2015 05 22.40215 14 08 42.785 -10 51 24.81 22.5w 15FK345 F51 C~1vYV 2015 06 10.308433 14 04 26.455 -10 25 52.72 22.7G 15FK345 F51 C~444T 2015 06 10.322240 14 04 26.278 -10 25 51.73 23.8G 15FK345 F51 C~444T 2016 03 07.595086 15 55 36.953 -17 08 53.91 23.1G 15FK345 F51 C~444T 2016 03 17.594253 15 55 45.414 -17 02 43.09 23.7G 15FK345 F51 C~444T 2016 05 07.456542 15 44 25.145 -15 59 31.44 23.3G 15FK345 F51 C~444T 2016 05 07.467649 15 44 24.917 -15 59 30.30 21.9G 15FK345 F51 C~444T 2016 05 07.478738 15 44 24.708 -15 59 29.68 22.9G 15FK345 F51 C~444T 2016 05 07.489787 15 44 24.375 -15 59 27.90 22.8G 15FK345 F51 C~444T 2016 05 13.452734 15 42 15.928 -15 50 30.18 22.4G 15FK345 F51 C~444T 2016 05 13.464499 15 42 15.678 -15 50 29.30 22.3G 15FK345 F51 C~444T 2016 06 28.356098 15 28 07.555 -14 58 42.36 22.6G 15FK345 F51 C~444T 2016 06 28.367471 15 28 07.402 -14 58 42.29 21.5G 15FK345 F51 C~444T 2016 06 28.390299 15 28 07.154 -14 58 41.29 22.6G 15FK345 F51 C~444T
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 0.08
2 0.0000 0.00 -0.02 0.00 -0.02
3 0.0001 0.00 -0.03 0.00 -0.08
4 1.0839 0.00 0.04 0.00 -0.11
5 1.0839 0.00 0.20 0.00 0.14
6 1.0840 0.00 0.06 0.00 0.04
7 1.8401 0.00 -0.19 0.00 0.44
8 1.8401 0.00 -0.05 0.00 -0.38
9 2.0643 0.00 -0.03 0.00 -0.10
10 2.0643 0.00 0.07 0.00 0.11
11 2.1653 0.00 -0.35 0.00 -0.32
12 2.1654 0.00 -0.01 0.00 -0.15
13 2.2172 0.00 -0.18 0.00 -0.19
14 2.2172 0.00 0.03 0.00 -0.22
15 2.2172 0.00 -0.10 0.00 -0.30
16 2.2173 0.00 0.02 0.00 0.14
17 2.2335 0.00 -0.01 0.00 0.23
18 2.2335 0.00 -0.16 0.00 -0.03
19 2.2335 0.00 0.03 0.00 -0.07
20 2.2336 0.00 -0.01 0.00 0.14
21 2.3047 0.00 -0.03 0.00 -0.18
22 2.3047 0.00 -0.08 0.00 -0.19
23 2.3048 0.00 -0.10 0.00 -0.06
24 2.3048 0.00 0.13 0.00 0.12
25 2.9627 0.00 0.02 0.00 0.34
26 2.9627 0.00 -0.01 0.00 -0.04
27 2.9681 0.00 0.10 0.00 -0.00
28 2.9681 0.00 -0.03 0.00 -0.02
29 2.9682 0.00 0.07 0.00 -0.01
30 3.1157 0.00 -0.05 0.00 0.12
31 3.1158 0.00 -0.12 0.00 0.03
32 3.1158 0.00 -0.07 0.00 0.17
33 3.1158 0.00 -0.06 0.00 -0.13
34 3.1184 0.00 0.08 0.00 0.12
35 3.1184 0.00 0.12 0.00 0.43
36 3.1185 0.00 0.21 0.00 0.10
37 3.1211 0.00 0.26 0.00 0.03
38 3.1211 0.00 -0.04 0.00 -0.07
39 3.1212 0.00 0.23 0.00 0.02
40 3.1212 0.00 0.01 0.00 0.23
41 3.2166 0.00 0.23 0.00 0.06
42 3.2166 0.00 0.22 0.00 0.13
43 3.2166 0.00 0.03 0.00 0.14
44 3.2167 0.00 0.09 0.00 -0.05
45 3.2196 0.00 0.18 0.00 -0.14
46 3.2196 0.00 0.03 0.00 -0.00
47 3.2196 0.00 0.25 0.00 -0.18
48 3.2197 0.00 0.37 0.00 -0.15
49 3.2222 0.00 -0.30 0.00 0.04
50 3.2223 0.00 0.13 0.00 -0.07
51 3.2223 0.00 0.08 0.00 -0.01
52 3.2223 0.00 -0.20 0.00 -0.09
53 3.2249 0.00 -0.19 0.00 -0.05
54 3.2249 0.00 -0.38 0.00 -0.08
55 3.2959 0.00 0.19 0.00 0.03
56 3.2960 0.00 0.14 0.00 0.13
57 3.2960 0.00 0.26 0.00 0.19
58 3.3478 0.00 -0.15 0.00 0.29
59 3.3478 0.00 -0.72 0.00 0.49
60 4.0905 0.00 -0.01 0.00 -0.12
61 4.1179 0.00 -0.07 0.00 -0.18
62 4.2571 0.00 -0.16 0.00 -0.11
63 4.2572 0.00 0.05 0.00 0.02
64 4.2572 0.00 0.54 0.00 -0.36
65 4.2572 0.00 -0.84 0.00 0.41
66 4.2736 0.00 -0.16 0.00 0.03
67 4.2736 0.00 0.02 0.00 -0.14
68 4.3992 0.00 0.08 0.00 -0.05
69 4.3993 0.00 -0.16 0.00 -0.36
70 4.3993 0.00 0.24 0.00 -0.14
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.
15FK345 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 9.268 9.268 9.268 ecceobj 0.312 0.312 0.312 incobj 5.168 5.168 5.168 qmin 6.381 6.381 6.381 qmax 13.096 13.096 13.096 amean 9.606 9.619 9.601 amin 9.268 9.268 9.268 amax 9.865 9.918 9.845 emean 0.303 0.302 0.303 emin 0.273 0.270 0.273 emax 0.331 0.331 0.331 imean 5.999 6.041 5.994 imin 5.083 5.083 5.083 imax 8.081 8.249 8.060 excite_mean 0.321 0.321 0.321 fracstop 0.000 0.000 0.000 cjmean 4.209 4.205 4.210 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 112.7 112.9 112.3 kozaiamp 158.0 158.0 158.1