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: 13EZ27
# Created Sat Apr 20 01:14:18 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 70 observations of 70
# Arc: 6.08y
# First observation: 2010/05/09
# Last observation: 2016/06/06
# Chi-squared of fit: 86.86 DOF: 134 RMS: 0.20
# Min/Max residuals: -0.64 0.58
# Exact a, adot, b, bdot, g, gdot:
3.265023E-05 1.854205E-01 -7.447196E-06 -4.334078E-02 9.083713E-02 -8.903762E-02
# Covariance matrix:
1.1081E-12 -2.5197E-13 -3.8779E-14 8.1881E-15 -1.3538E-14 1.3627E-15
-2.5197E-13 7.3125E-14 9.0573E-15 -4.3120E-15 -1.6483E-15 -1.0337E-15
-3.8779E-14 9.0573E-15 1.1549E-12 -2.5221E-13 3.8594E-14 -4.7686E-16
8.1881E-15 -4.3120E-15 -2.5221E-13 7.4101E-14 3.3550E-15 1.2183E-15
-1.3538E-14 -1.6483E-15 3.8594E-14 3.3550E-15 3.6534E-14 2.0739E-15
1.3627E-15 -1.0337E-15 -4.7686E-16 1.2183E-15 2.0739E-15 3.4999E-16
# lat0 lon0 xBary yBary zBary JD0
6.251424 118.242722 -0.950310 -0.037471 0.341716 2455325.760506
# Heliocentric elements and errors
Epoch: 2455326.5000 = 2010/05/10
Mean Anomaly: 343.26024 +/- 0.000
Argument of Peri: 213.02833 +/- 0.000
Long of Asc Node: 328.90693 +/- 0.000
Inclination: 14.64141 +/- 0.000
Eccentricity: 0.54467509 +/- 0.0000
Semi-Major Axis: 19.45072226 +/- 0.0000
Time of Perihelion: 2456783.4636 +/- 0.0
Perihelion: 8.85639832 +/- 0.0000
Aphelion: 30.04504619 +/- 0.0000
Period (y) 85.7851 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -5.84920675 +/- 0.0000
Ecliptic Y 8.88558856 +/- 0.0000
Ecliptic Z 1.19870148 +/- 0.0000
Ecliptic XDOT -0.00372650 +/- 0.0000
Ecliptic YDOT -0.00486337 +/- 0.0000
Ecliptic ZDOT -0.00159080 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 10.70545278 +/- 0.0000
Geocenter to KBO 11.00892841 +/- 0.0000
# Hcoef: 12.63
The following table shows the complete astrometric record for 13EZ27. 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 (13EZ27) followed by the observatory code and reference code for the source of the astrometry.
2010 05 09.25974 08 07 00.099 +26 37 51.98 23.0G 13EZ27 F51 C~2rXw 2011 01 27.56504 09 05 41.458 +21 40 02.92 22.2G 13EZ27 F51 C~2rXw 2011 01 30.49114 09 04 48.442 +21 42 10.24 22.6w 13EZ27 F51 C~1vWw 2011 01 30.50742 09 04 48.137 +21 42 10.90 22.5w 13EZ27 F51 C~1vWw 2011 01 30.52250 09 04 47.850 +21 42 11.62 22.5w 13EZ27 F51 C~1vWw 2012 02 03.54155 09 58 05.797 +13 24 55.99 21.7i 13EZ27 F51 C~1vWw 2012 02 03.55443 09 58 05.567 +13 24 56.57 21.9i 13EZ27 F51 C~1vWw 2012 02 03.58741 09 58 04.988 +13 24 58.24 22.1r 13EZ27 F51 C~1vWw 2012 02 04.51292 09 57 49.076 +13 25 44.39 22.4G 13EZ27 F51 C~2rXw 2012 02 04.52520 09 57 48.825 +13 25 44.90 22.1G 13EZ27 F51 C~2rXw 2012 02 04.52659 09 57 48.834 +13 25 45.26 22.5G 13EZ27 F51 C~2rXw 2012 02 04.59190 09 57 47.658 +13 25 47.97 22.4G 13EZ27 F51 C~2rXw 2012 02 04.60275 09 57 47.466 +13 25 49.01 21.8G 13EZ27 F51 C~2rXw 2012 02 15.38050 09 54 36.200 +13 35 01.96 22.3G 13EZ27 F51 C~2rXw 2012 02 15.39448 09 54 35.942 +13 35 02.70 22.4G 13EZ27 F51 C~2rXw 2013 02 02.58044 10 55 01.526 +03 16 57.48 22.4G 13EZ27 F51 C~2rXw 2013 03 05.41133 10 46 26.756 +03 41 43.93 22.0w 13EZ27 F51 C@0613 2013 03 05.42627 10 46 26.488 +03 41 44.85 22.1w 13EZ27 F51 C@0613 2013 03 05.44122 10 46 26.214 +03 41 45.72 22.0w 13EZ27 F51 C@0613 2013 03 05.45617 10 46 25.946 +03 41 46.68 22.1w 13EZ27 F51 C@0613 2013 03 06.367112 10 46 09.828 +03 42 42.92 21.3R 13EZ27 568 C~0psa 2013 03 06.368366 10 46 09.804 +03 42 42.94 21.3R 13EZ27 568 C~0psa 2013 03 06.369625 10 46 09.784 +03 42 43.10 21.3R 13EZ27 568 C~0psa 2013 03 08.336820 10 45 35.07 +03 44 45.2 21.9R 13EZ27 F65 C~0psa 2013 03 08.342957 10 45 34.97 +03 44 45.1 21.9R 13EZ27 F65 C~0psa 2013 03 08.345967 10 45 34.89 +03 44 45.3 21.3R 13EZ27 F65 C~0psa 2013 03 08.348989 10 45 34.84 +03 44 46.0 21.7R 13EZ27 F65 C~0psa 2013 04 03.32972 10 38 49.056 +04 09 36.35 21.9G 13EZ27 F51 C~2rXw 2013 12 14.63431 11 53 16.013 -06 14 10.83 22.7w 13EZ27 F51 C~1vWw 2013 12 14.63864 11 53 16.062 -06 14 11.46 22.4w 13EZ27 F51 C~1vWw 2013 12 14.64264 11 53 16.107 -06 14 11.92 22.5w 13EZ27 F51 C~1vWw 2014 02 21.50975 11 50 09.799 -07 36 51.72 23.2G 13EZ27 F51 C~2rXw 2014 02 21.52197 11 50 09.644 -07 36 51.51 22.3G 13EZ27 F51 C~2rXw 2014 02 21.52810 11 50 09.549 -07 36 52.36 21.5G 13EZ27 F51 C~2rXw 2014 03 24.40427 11 41 25.266 -07 10 24.73 21.8w 13EZ27 F51 C~1vWw 2014 03 24.41657 11 41 25.054 -07 10 23.84 21.9w 13EZ27 F51 C~1vWw 2014 03 24.42886 11 41 24.826 -07 10 22.86 22.2w 13EZ27 F51 C~1vWw 2014 03 24.44118 11 41 24.602 -07 10 22.13 21.9w 13EZ27 F51 C~1vWw 2014 04 28.30750 11 33 09.144 -06 27 22.01 22.0w 13EZ27 F51 C~1vWw 2014 04 28.31980 11 33 09.013 -06 27 21.41 22.1w 13EZ27 F51 C~1vWw 2014 04 28.33207 11 33 08.895 -06 27 20.48 22.1w 13EZ27 F51 C~1vWw 2014 04 28.34436 11 33 08.758 -06 27 19.77 22.4w 13EZ27 F51 C~1vWw 2014 05 24.26477 11 31 12.599 -06 10 08.54 22.1w 13EZ27 F51 C~1vWw 2014 05 24.27805 11 31 12.601 -06 10 08.76 22.1w 13EZ27 F51 C~1vWw 2014 05 24.29132 11 31 12.597 -06 10 08.28 22.4w 13EZ27 F51 C~1vWw 2014 05 24.30460 11 31 12.608 -06 10 08.11 22.4w 13EZ27 F51 C~1vWw 2015 01 26.57192 12 54 53.817 -17 31 28.00 22.6G 13EZ27 F51 C~2rXw 2015 01 28.57014 12 54 53.641 -17 35 08.86 22.0G 13EZ27 F51 C~2rXw 2015 01 28.58203 12 54 53.608 -17 35 10.35 22.0G 13EZ27 F51 C~2rXw 2015 01 28.59391 12 54 53.607 -17 35 11.55 22.8G 13EZ27 F51 C~2rXw 2015 01 28.60578 12 54 53.601 -17 35 12.83 22.9G 13EZ27 F51 C~2rXw 2015 01 31.61243 12 54 50.022 -17 40 24.21 22.6G 13EZ27 F51 C~2rXw 2015 01 31.62346 12 54 49.969 -17 40 25.52 22.4G 13EZ27 F51 C~2rXw 2015 01 31.63447 12 54 49.979 -17 40 26.54 22.6G 13EZ27 F51 C~2rXw 2015 01 31.64547 12 54 49.949 -17 40 27.74 22.0G 13EZ27 F51 C~2rXw 2015 04 14.06337 12 39 06.49 -17 36 26.7 22.4V 13EZ27 W84 C~2Jxu 2015 04 14.14229 12 39 05.12 -17 36 20.0 13EZ27 W84 C~2Jxu 2015 04 14.23919 12 39 03.42 -17 36 11.7 13EZ27 W84 C~2Jxu 2016 02 14.61179 13 56 36.900 -26 16 20.46 22.2G 13EZ27 F51 C~2rXw 2016 02 14.64629 13 56 36.878 -26 16 23.93 22.6G 13EZ27 F51 C~2rXw 2016 04 27.36169 13 41 07.916 -26 24 37.59 22.2G 13EZ27 F51 C~2rXw 2016 04 27.37161 13 41 07.722 -26 24 36.94 23.0G 13EZ27 F51 C~2rXw 2016 04 27.38146 13 41 07.519 -26 24 35.91 22.4G 13EZ27 F51 C~2rXx 2016 04 27.39138 13 41 07.373 -26 24 35.37 21.5G 13EZ27 F51 C~2rXx 2016 05 15.32084 13 36 15.005 -25 56 21.55 22.0G 13EZ27 F51 C~2rXx 2016 05 15.33050 13 36 14.790 -25 56 20.80 22.2G 13EZ27 F51 C~2rXx 2016 06 06.26707 13 32 14.747 -25 19 21.63 22.5G 13EZ27 F51 C~2rXx 2016 06 06.27673 13 32 14.682 -25 19 20.87 22.3G 13EZ27 F51 C~2rXx 2016 06 06.28640 13 32 14.606 -25 19 19.85 22.9G 13EZ27 F51 C~2rXx 2016 06 06.29607 13 32 14.532 -25 19 18.80 22.4G 13EZ27 F51 C~2rXx
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 -0.09 0.00 -0.00
2 0.7209 0.00 -0.28 0.00 -0.06
3 0.7289 0.00 0.04 0.00 0.02
4 0.7289 0.00 0.01 0.00 -0.01
5 0.7290 0.00 -0.09 0.00 0.08
6 1.7393 0.00 0.33 0.00 0.02
7 1.7393 0.00 0.26 0.00 -0.04
8 1.7394 0.00 0.24 0.00 0.02
9 1.7420 0.00 0.21 0.00 -0.09
10 1.7420 0.00 -0.30 0.00 -0.19
11 1.7420 0.00 0.20 0.00 0.10
12 1.7422 0.00 -0.16 0.00 -0.41
13 1.7422 0.00 -0.17 0.00 0.09
14 1.7717 0.00 0.20 0.00 -0.02
15 1.7718 0.00 0.20 0.00 -0.01
16 2.7387 0.00 0.45 0.00 0.24
17 2.8231 0.00 0.07 0.00 0.05
18 2.8232 0.00 0.12 0.00 0.05
19 2.8232 0.00 0.09 0.00 0.00
20 2.8233 0.00 0.14 0.00 0.04
21 2.8258 0.00 -0.14 0.00 0.04
22 2.8258 0.00 -0.16 0.00 -0.02
23 2.8258 0.00 -0.12 0.00 0.07
24 2.8311 0.00 -0.41 0.00 0.12
25 2.8312 0.00 -0.25 0.00 -0.36
26 2.8312 0.00 -0.64 0.00 -0.35
27 2.8312 0.00 -0.58 0.00 0.16
28 2.9023 0.00 0.01 0.00 0.12
29 3.6013 0.00 0.11 0.00 -0.06
30 3.6013 0.00 0.14 0.00 0.00
31 3.6013 0.00 0.17 0.00 0.18
32 3.7899 0.00 -0.30 0.00 0.58
33 3.7899 0.00 0.19 0.00 0.53
34 3.7899 0.00 0.18 0.00 -0.45
35 3.8745 0.00 0.02 0.00 0.09
36 3.8745 0.00 0.14 0.00 0.08
37 3.8745 0.00 0.01 0.00 0.16
38 3.8746 0.00 -0.05 0.00 -0.01
39 3.9700 0.00 0.25 0.00 -0.00
40 3.9700 0.00 0.10 0.00 -0.17
41 3.9701 0.00 0.14 0.00 0.00
42 3.9701 0.00 -0.11 0.00 -0.05
43 4.0411 0.00 0.14 0.00 0.11
44 4.0411 0.00 0.11 0.00 -0.29
45 4.0412 0.00 -0.00 0.00 0.00
46 4.0412 0.00 0.11 0.00 -0.01
47 4.7182 0.00 0.09 0.00 0.05
48 4.7236 0.00 0.09 0.00 0.15
49 4.7237 0.00 -0.24 0.00 -0.05
50 4.7237 0.00 -0.09 0.00 0.03
51 4.7237 0.00 -0.01 0.00 0.03
52 4.7320 0.00 0.01 0.00 0.06
53 4.7320 0.00 -0.41 0.00 -0.16
54 4.7320 0.00 0.11 0.00 -0.09
55 4.7321 0.00 0.04 0.00 -0.20
56 4.9303 0.00 -0.17 0.00 -0.07
57 4.9305 0.00 0.01 0.00 -0.06
58 4.9308 0.00 -0.03 0.00 -0.06
59 5.7696 0.00 -0.26 0.00 -0.11
60 5.7697 0.00 0.02 0.00 0.12
61 5.9688 0.00 0.25 0.00 0.05
62 5.9688 0.00 0.04 0.00 -0.12
63 5.9688 0.00 -0.31 0.00 0.09
64 5.9689 0.00 0.21 0.00 -0.20
65 6.0180 0.00 0.46 0.00 0.15
66 6.0180 0.00 -0.62 0.00 -0.08
67 6.0780 0.00 -0.03 0.00 0.04
68 6.0781 0.00 0.08 0.00 -0.12
69 6.0781 0.00 0.03 0.00 -0.02
70 6.0781 0.00 0.01 0.00 0.10
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.
13EZ27 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 19.565 19.565 19.565 ecceobj 0.544 0.544 0.544 incobj 14.621 14.621 14.621 qmin 8.767 8.105 8.652 qmax 32.070 32.069 32.071 amean 19.038 17.855 19.242 amin 18.154 16.538 18.075 amax 20.485 20.485 20.486 emean 0.535 0.530 0.541 emin 0.514 0.502 0.521 emax 0.566 0.566 0.566 imean 15.803 14.473 15.697 imin 15.670 13.527 15.443 imax 15.875 15.914 15.842 excite_mean 0.600 0.586 0.605 fracstop 0.001 0.002 0.000 cjmean 2.872 2.953 2.859 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 221.4 266.0 219.6 kozaiamp 9.2 51.8 8.1