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: 13FD28 # Created Fri Nov 22 02:09:22 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 68 observations of 68 # Arc: 7.03y # First observation: 2011/04/03 # Last observation: 2018/04/12 # Chi-squared of fit: 151.87 DOF: 130 RMS: 0.26 # Min/Max residuals: -0.74 1.25 # Exact a, adot, b, bdot, g, gdot: 1.428462E-05 2.436149E-02 1.634538E-06 1.799101E-03 2.537386E-02 4.595859E-03 # Covariance matrix: 9.6692E-14 -5.5904E-14 2.5276E-15 -3.2235E-15 -2.0333E-14 -2.7489E-13 -5.5904E-14 6.3646E-14 -3.5716E-15 4.4929E-15 3.1133E-14 3.8306E-13 2.5276E-15 -3.5716E-15 6.6138E-14 -1.3341E-14 -3.8341E-15 -2.3174E-14 -3.2235E-15 4.4929E-15 -1.3341E-14 4.3464E-15 2.5287E-15 2.8880E-14 -2.0333E-14 3.1133E-14 -3.8341E-15 2.5287E-15 1.2198E-13 2.1250E-13 -2.7489E-13 3.8306E-13 -2.3174E-14 2.8880E-14 2.1250E-13 2.4619E-12 # lat0 lon0 xBary yBary zBary JD0 -5.564750 -160.954338 0.103800 -0.096849 -0.993648 2455654.937646 # Heliocentric elements and errors Epoch: 2455654.5000 = 2011/04/03 Mean Anomaly: 86.50979 +/- 0.021 Argument of Peri: 200.16480 +/- 0.013 Long of Asc Node: 251.13125 +/- 0.001 Inclination: 6.85422 +/- 0.000 Eccentricity: 0.18419791 +/- 0.0001 Semi-Major Axis: 39.51536884 +/- 0.0021 Time of Perihelion: 2433851.8006 +/- 5.5 Perihelion: 32.23672046 +/- 0.0028 Aphelion: 46.79401721 +/- 0.0033 Period (y) 248.4032 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.05103101 +/- 0.0005 Ecliptic Y -13.02828606 +/- 0.0002 Ecliptic Z -3.82158590 +/- 0.0001 Ecliptic XDOT 0.00037179 +/- 0.0000 Ecliptic YDOT -0.00264594 +/- 0.0000 Ecliptic ZDOT 0.00014515 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.40065281 +/- 0.0005 Geocenter to KBO 39.41056467 +/- 0.0005 # Hcoef: 6.68
The following table shows the complete astrometric record for 13FD28. 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 (13FD28) followed by the observatory code and reference code for the source of the astrometry.
2011 04 03.43688 13 01 39.667 -12 36 03.61 22.5G 13FD28 F51 C~36nl 2011 04 03.44082 13 01 39.629 -12 36 03.25 22.7G 13FD28 F51 C~36nl 2011 04 03.45077 13 01 39.588 -12 36 03.18 22.2G 13FD28 F51 C~36nl 2011 04 03.45472 13 01 39.582 -12 36 03.06 22.8G 13FD28 F51 C~36nl 2011 04 03.46661 13 01 39.491 -12 36 02.26 22.1G 13FD28 F51 C~36nl 2011 04 03.47057 13 01 39.487 -12 36 02.67 23.4G 13FD28 F51 C~36nl 2011 04 03.48050 13 01 39.445 -12 36 02.37 22.6G 13FD28 F51 C~36nl 2011 04 03.48443 13 01 39.444 -12 36 02.05 23.6G 13FD28 F51 C~36nl 2011 04 28.33959 12 59 43.494 -12 23 21.81 22.7G 13FD28 F51 C~36nl 2011 04 28.35367 12 59 43.401 -12 23 22.06 22.4G 13FD28 F51 C~36nl 2011 04 28.36790 12 59 43.357 -12 23 20.81 22.5G 13FD28 F51 C~36nl 2011 04 28.38199 12 59 43.289 -12 23 20.79 22.9G 13FD28 F51 C~36nl 2012 01 06.62681 13 10 36.983 -13 15 44.35 22.8G 13FD28 F51 C~36nl 2012 01 06.63212 13 10 36.982 -13 15 44.35 22.2G 13FD28 F51 C~36nl 2012 01 06.63739 13 10 37.005 -13 15 44.46 21.8G 13FD28 F51 C~36nl 2012 01 06.64269 13 10 37.014 -13 15 44.49 22.4G 13FD28 F51 C~36nl 2012 03 16.49835 13 08 23.546 -13 09 43.51 22.2G 13FD28 F51 C~36nl 2012 04 02.43766 13 07 05.786 -13 02 20.26 21.5G 13FD28 F51 C~36nl 2012 04 02.44976 13 07 05.716 -13 02 19.59 22.4G 13FD28 F51 C~36nl 2012 04 16.41742 13 05 59.289 -12 55 25.07 22.4G 13FD28 F51 C~36nl 2012 04 16.43066 13 05 59.219 -12 55 24.61 22.6G 13FD28 F51 C~36nl 2013 03 05.53026 13 14 31.199 -13 38 50.58 22.4G 13FD28 F51 C~36nl 2013 03 17.27372 13 13 43.87 -13 34 51.2 22.7r 13FD28 W84 C~2J9e 2013 03 17.31628 13 13 43.69 -13 34 50.2 13FD28 W84 C~2J9e 2013 03 17.36301 13 13 43.48 -13 34 49.2 13FD28 W84 C~2J9e 2013 05 09.08269 13 09 43.32 -13 09 48.0 13FD28 W84 C~2TH2 2013 05 10.12576 13 09 39.16 -13 09 17.4 22.6r 13FD28 W84 C~2TH2 2014 03 28.26117 13 18 17.593 -13 55 16.33 13FD28 807 C~14Qh 2014 03 28.32672 13 18 17.302 -13 55 14.46 22.1r 13FD28 807 C~14Qh 2014 03 28.36935 13 18 17.100 -13 55 13.70 13FD28 807 C~14Qh 2014 04 04.48780 13 17 43.755 -13 52 02.80 23.4G 13FD28 F51 C~36nl 2014 04 28.45975 13 15 51.334 -13 40 19.25 22.8G 13FD28 F51 C~36nl 2014 05 01.26484 13 15 38.844 -13 38 54.79 22.2r 13FD28 304 C~14Qh 2014 05 02.27723 13 15 34.405 -13 38 24.39 13FD28 304 C~14Qh 2014 05 20.32631 13 14 22.853 -13 29 47.40 22.6G 13FD28 F51 C~36nl 2014 05 20.33926 13 14 22.836 -13 29 47.27 22.6G 13FD28 F51 C~36nl 2014 05 20.35218 13 14 22.778 -13 29 46.72 23.1G 13FD28 F51 C~36nl 2014 05 20.36511 13 14 22.723 -13 29 46.54 23.3G 13FD28 F51 C~36nl 2014 05 28.29186 13 13 57.159 -13 26 21.31 22.4G 13FD28 F51 C~36nl 2016 02 09.63665 13 31 30.338 -14 54 26.23 22.8G 13FD28 F51 C~36nl 2016 02 09.64461 13 31 30.351 -14 54 26.21 23.1G 13FD28 F51 C~36nl 2016 02 09.65263 13 31 30.343 -14 54 25.88 22.7G 13FD28 F51 C~36nl 2016 02 09.66056 13 31 30.312 -14 54 25.90 23.1G 13FD28 F51 C~36nl 2016 02 20.58445 13 31 08.565 -14 53 26.91 22.4G 13FD28 F51 C~36nl 2016 03 04.53638 13 30 30.493 -14 50 54.20 22.3G 13FD28 F51 C~36nl 2016 03 04.54877 13 30 30.454 -14 50 54.11 22.4G 13FD28 F51 C~36nl 2016 03 04.56109 13 30 30.405 -14 50 53.71 23.0G 13FD28 F51 C~36nl 2016 03 04.57342 13 30 30.352 -14 50 53.40 23.1G 13FD28 F51 C~36nl 2016 03 13.26497 13 29 58.44 -14 48 24.2 22.6R 13FD28 G37 C~1pQU 2016 03 13.31385 13 29 58.29 -14 48 24.0 13FD28 G37 C~1pQU 2017 02 02.61122 13 36 50.599 -15 16 51.05 23.0G 13FD28 F51 C~36nl 2017 02 21.58525 13 36 19.032 -15 15 46.02 21.9G 13FD28 F51 C~36nl 2017 02 21.59789 13 36 18.987 -15 15 46.29 23.5G 13FD28 F51 C~36nl 2017 02 21.61053 13 36 18.977 -15 15 46.00 22.7G 13FD28 F51 C~36nl 2017 02 21.62317 13 36 18.919 -15 15 46.07 22.3G 13FD28 F51 C~36nl 2017 03 28.50344 13 34 12.441 -15 05 55.66 22.2G 13FD28 F51 C~36nl 2017 03 28.51509 13 34 12.407 -15 05 55.54 23.0G 13FD28 F51 C~36nl 2017 03 28.52677 13 34 12.340 -15 05 55.23 22.5G 13FD28 F51 C~36nl 2017 03 28.53843 13 34 12.268 -15 05 55.07 23.0G 13FD28 F51 C~36nl 2017 04 27.36460 13 31 52.860 -14 52 25.23 22.2G 13FD28 F51 C~36nl 2017 04 27.37494 13 31 52.800 -14 52 24.55 22.6G 13FD28 F51 C~36nl 2017 04 27.38528 13 31 52.753 -14 52 24.59 22.8G 13FD28 F51 C~36nl 2017 04 27.39560 13 31 52.728 -14 52 24.25 22.3G 13FD28 F51 C~36nl 2017 05 16.30079 13 30 31.169 -14 43 25.44 23.0G 13FD28 F51 C~36nl 2018 04 12.42835 13 38 20.883 -15 22 08.33 22.2G 13FD28 F51 C~36nl 2018 04 12.44123 13 38 20.808 -15 22 07.54 22.5G 13FD28 F51 C~36nl 2018 04 12.45412 13 38 20.752 -15 22 07.50 22.2G 13FD28 F51 C~36nl 2018 04 12.46700 13 38 20.694 -15 22 07.07 22.2G 13FD28 F51 C~36nl
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 0.13 0.00 -0.17
2 0.0000 0.00 -0.15 0.00 0.08
3 0.0000 0.00 -0.04 0.00 -0.14
4 0.0000 0.00 0.16 0.00 -0.14
5 0.0001 0.00 -0.34 0.00 0.31
6 0.0001 0.00 -0.11 0.00 -0.21
7 0.0001 0.00 -0.01 0.00 -0.20
8 0.0001 0.00 0.26 0.00 0.00
9 0.0682 0.00 0.29 0.00 0.14
10 0.0682 0.00 -0.16 0.00 -0.54
11 0.0683 0.00 0.14 0.00 0.27
12 0.0683 0.00 0.06 0.00 -0.14
13 0.7616 0.00 -0.14 0.00 -0.01
14 0.7617 0.00 -0.25 0.00 0.07
15 0.7617 0.00 0.01 0.00 0.04
16 0.7617 0.00 0.05 0.00 0.09
17 0.9529 0.00 0.10 0.00 -0.01
18 0.9993 0.00 0.04 0.00 -0.08
19 0.9994 0.00 -0.14 0.00 0.24
20 1.0376 0.00 -0.03 0.00 -0.07
21 1.0376 0.00 -0.12 0.00 -0.02
22 1.9222 0.00 -0.09 0.00 0.14
23 1.9544 0.00 -0.33 0.00 0.01
24 1.9545 0.00 -0.23 0.00 0.03
25 1.9546 0.00 -0.32 0.00 -0.04
26 2.0990 0.00 -0.35 0.00 -0.03
27 2.1018 0.00 -0.28 0.00 0.14
28 2.9838 0.00 1.02 0.00 -0.09
29 2.9840 0.00 1.25 0.00 0.08
30 2.9841 0.00 1.20 0.00 -0.27
31 3.0036 0.00 -0.39 0.00 0.13
32 3.0692 0.00 0.36 0.00 0.04
33 3.0769 0.00 0.39 0.00 0.20
34 3.0796 0.00 0.45 0.00 0.34
35 3.1291 0.00 -0.37 0.00 0.15
36 3.1291 0.00 0.07 0.00 -0.07
37 3.1291 0.00 -0.11 0.00 0.13
38 3.1292 0.00 -0.24 0.00 -0.04
39 3.1509 0.00 -0.21 0.00 0.07
40 4.8548 0.00 -0.36 0.00 -0.19
41 4.8548 0.00 0.02 0.00 -0.18
42 4.8548 0.00 0.10 0.00 0.13
43 4.8548 0.00 -0.18 0.00 0.09
44 4.8847 0.00 -0.10 0.00 0.09
45 4.9202 0.00 -0.09 0.00 -0.13
46 4.9202 0.00 -0.02 0.00 -0.23
47 4.9203 0.00 -0.11 0.00 -0.01
48 4.9203 0.00 -0.26 0.00 0.11
49 4.9441 0.00 -0.74 0.00 0.45
50 4.9442 0.00 -0.07 0.00 -0.27
51 5.8376 0.00 0.06 0.00 0.10
52 5.8895 0.00 0.11 0.00 0.22
53 5.8896 0.00 -0.07 0.00 -0.16
54 5.8896 0.00 0.26 0.00 0.02
55 5.8896 0.00 -0.12 0.00 -0.16
56 5.9851 0.00 -0.05 0.00 0.05
57 5.9852 0.00 0.24 0.00 -0.11
58 5.9852 0.00 0.03 0.00 -0.08
59 5.9852 0.00 -0.25 0.00 -0.20
60 6.0669 0.00 0.03 0.00 -0.04
61 6.0669 0.00 -0.14 0.00 0.34
62 6.0669 0.00 -0.12 0.00 0.00
63 6.0670 0.00 0.24 0.00 0.05
64 6.1187 0.00 -0.52 0.00 -0.16
65 7.0253 0.00 0.19 0.00 -0.24
66 7.0253 0.00 -0.01 0.00 0.21
67 7.0254 0.00 0.08 0.00 -0.10
68 7.0254 0.00 0.15 0.00 -0.02
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.
13FD28 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.491 39.491 39.491 ecceobj 0.185 0.185 0.185 incobj 6.856 6.856 6.856 qmin 31.692 31.764 31.442 qmax 47.946 47.854 48.258 amean 39.457 39.457 39.458 amin 38.914 38.924 38.895 amax 40.076 40.076 40.076 emean 0.175 0.176 0.178 emin 0.150 0.152 0.154 emax 0.198 0.196 0.206 imean 8.569 8.650 8.586 imin 7.711 7.746 7.668 imax 9.616 9.890 9.732 excite_mean 0.230 0.232 0.232 fracstop 1.000 1.000 1.000 cjmean 2.991 2.990 2.990 libcent 0 181.1 179.2 180.3 libamp 0 129.7 132.9 137.3 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 178.8 177.6 172.5 kozaiamp 179.9 180.0 179.9