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: 12FZ78
# Created Sat Apr 20 01:14:00 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 96 observations of 96
# Arc: 5.99y
# First observation: 2010/03/16
# Last observation: 2016/03/10
# Chi-squared of fit: 116.09 DOF: 186 RMS: 0.19
# Min/Max residuals: -0.72 0.66
# Exact a, adot, b, bdot, g, gdot:
3.249658E-05 2.356280E-01 -9.260301E-06 -6.749538E-02 1.052026E-01 4.152145E-03
# Covariance matrix:
1.2677E-13 -5.9667E-14 -1.4851E-14 1.1696E-14 -1.0928E-14 -1.9208E-14
-5.9667E-14 3.7988E-14 1.1311E-14 -8.8855E-15 1.2825E-14 1.4289E-14
-1.4851E-14 1.1311E-14 7.2199E-14 -1.9047E-14 3.7379E-15 4.8729E-15
1.1696E-14 -8.8855E-15 -1.9047E-14 6.7136E-15 -2.8434E-15 -3.8391E-15
-1.0928E-14 1.2825E-14 3.7379E-15 -2.8434E-15 2.2867E-14 3.3154E-15
-1.9208E-14 1.4289E-14 4.8729E-15 -3.8391E-15 3.3154E-15 6.3228E-15
# lat0 lon0 xBary yBary zBary JD0
6.522508 169.986110 -0.093737 0.112939 -0.988073 2455271.847316
# Heliocentric elements and errors
Epoch: 2455272.5000 = 2010/03/17
Mean Anomaly: 1.86916 +/- 3.103
Argument of Peri: 154.13709 +/- 0.000
Long of Asc Node: 10.20251 +/- 0.000
Inclination: 17.07173 +/- 0.000
Eccentricity: 0.44089121 +/- 0.0000
Semi-Major Axis: 18.73761660 +/- 0.0007
Time of Perihelion: 2455118.6798 +/- 255.4
Perihelion: 10.47636624 +/- 0.0004
Aphelion: 26.99886696 +/- 0.0010
Period (y) 81.1110 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -10.29184786 +/- 0.0000
Ecliptic Y 1.71999662 +/- 0.0000
Ecliptic Z 1.07969406 +/- 0.0000
Ecliptic XDOT -0.00136625 +/- 0.0000
Ecliptic YDOT -0.00597948 +/- 0.0000
Ecliptic ZDOT -0.00173295 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 10.49028378 +/- 0.0000
Geocenter to KBO 9.50550468 +/- 0.0000
# Hcoef: 11.21
The following table shows the complete astrometric record for 12FZ78. 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 (12FZ78) followed by the observatory code and reference code for the source of the astrometry.
2010 03 16.34655 11 33 34.38 +09 57 31.8 20.6V 12FZ78 G96 C~1vWc 2010 03 16.35491 11 33 34.20 +09 57 32.1 20.5V 12FZ78 G96 C~1vWd 2010 03 16.36330 11 33 34.05 +09 57 32.9 20.7V 12FZ78 G96 C~1vWd 2010 03 16.37163 11 33 33.98 +09 57 33.6 20.8V 12FZ78 G96 C~1vWd 2010 05 17.30051 11 22 26.668 +10 03 11.20 21.0G 12FZ78 F51 C~2r7M 2010 05 17.31240 11 22 26.646 +10 03 10.68 20.9G 12FZ78 F51 C~2r7M 2010 06 30.27153 11 26 21.425 +08 47 39.16 21.8G 12FZ78 F51 C~2r7M 2010 06 30.27767 11 26 21.511 +08 47 38.32 21.7G 12FZ78 F51 C~2r7M 2011 03 10.56741 12 17 49.303 +00 55 51.77 20.9G 12FZ78 F51 C~2r7M 2011 03 12.57260 12 17 19.143 +00 57 50.47 21.0G 12FZ78 F51 C~2r7M 2011 03 12.58582 12 17 18.943 +00 57 51.21 21.4G 12FZ78 F51 C~2r7M 2012 02 28.52142 13 00 17.545 -07 39 55.36 21.4w 12FZ78 F51 C~1vWd 2012 02 28.53579 13 00 17.385 -07 39 55.06 21.5w 12FZ78 F51 C~1vWd 2012 02 28.55021 13 00 17.226 -07 39 54.62 21.5w 12FZ78 F51 C~1vWd 2012 02 28.56464 13 00 17.057 -07 39 54.37 21.5w 12FZ78 F51 C~1vWd 2012 03 29.40417 12 53 27.49 -07 18 57.8 21.3V 12FZ78 G96 C~0frT 2012 03 29.41041 12 53 27.38 -07 18 57.2 21.8V 12FZ78 G96 C~0frT 2012 03 29.41670 12 53 27.24 -07 18 56.5 21.8V 12FZ78 G96 C~0frT 2012 03 29.42304 12 53 27.13 -07 18 56.5 21.3V 12FZ78 G96 C~0frT 2012 04 14.34105 12 49 21.717 -07 03 53.62 21.1w 12FZ78 F51 C@0613 2012 04 14.35590 12 49 21.488 -07 03 52.81 21.2w 12FZ78 F51 C@0613 2012 04 14.37074 12 49 21.258 -07 03 51.97 21.2w 12FZ78 F51 C@0613 2012 04 14.38557 12 49 21.030 -07 03 51.13 21.2w 12FZ78 F51 C@0613 2012 04 22.24940 12 47 25.72 -06 56 39.8 21.9V 12FZ78 G96 C~0g7u 2012 04 22.25654 12 47 25.62 -06 56 39.6 21.6V 12FZ78 G96 C~0g7u 2012 04 22.26378 12 47 25.47 -06 56 39.3 21.6V 12FZ78 G96 C~0g7u 2012 04 22.27102 12 47 25.40 -06 56 39.3 21.2V 12FZ78 G96 C~0g7u 2012 04 25.33885 12 46 42.635 -06 54 00.41 20.9G 12FZ78 F51 C~2r7M 2012 04 25.35000 12 46 42.469 -06 53 59.94 21.5G 12FZ78 F51 C~2r7M 2012 04 26.39888 12 46 28.196 -06 53 07.31 21.2G 12FZ78 F51 C~2r7M 2012 04 26.40946 12 46 28.037 -06 53 06.64 21.2G 12FZ78 F51 C~2r7M 2012 04 28.35070 12 46 02.145 -06 51 31.81 21.8G 12FZ78 F51 C~2r7M 2012 04 28.36267 12 46 01.988 -06 51 31.19 21.3G 12FZ78 F51 C~2r7M 2012 05 17.18674 12 42 32.50 -06 39 43.9 21.4R 12FZ78 688 C~0hfq 2012 05 17.22909 12 42 32.13 -06 39 42.8 12FZ78 688 C~0hfq 2013 01 11.66464 13 38 55.148 -14 28 28.13 21.8G 12FZ78 F51 C~2r7M 2013 03 05.52098 13 37 42.616 -15 12 12.54 21.6G 12FZ78 F51 C~2r7M 2013 03 05.53205 13 37 42.475 -15 12 12.62 21.4G 12FZ78 F51 C~2r7M 2013 03 05.54422 13 37 42.372 -15 12 12.61 22.3G 12FZ78 F51 C~2r7M 2013 04 09.44688 13 29 56.016 -14 55 55.59 21.6G 12FZ78 F51 C~2r7M 2013 04 09.46155 13 29 55.785 -14 55 54.93 22.0G 12FZ78 F51 C~2r7M 2013 04 09.47625 13 29 55.560 -14 55 54.23 21.5G 12FZ78 F51 C~2r7M 2013 04 09.49087 13 29 55.327 -14 55 53.46 21.3G 12FZ78 F51 C~2r7M 2013 04 17.02848 13 27 58.68 -14 49 20.9 21.3r 12FZ78 W84 C~1vWd 2013 04 17.03262 13 27 58.62 -14 49 20.7 12FZ78 W84 C~1vWd 2013 04 17.04096 13 27 58.48 -14 49 20.3 12FZ78 W84 C~1vWd 2013 05 04.34973 13 23 41.732 -14 33 05.99 20.6G 12FZ78 F51 C~2r7M 2013 05 04.36607 13 23 41.499 -14 33 05.22 21.8G 12FZ78 F51 C~2r7M 2013 05 04.38241 13 23 41.274 -14 33 04.24 21.6G 12FZ78 F51 C~2r7M 2013 05 04.39875 13 23 41.044 -14 33 03.39 21.7G 12FZ78 F51 C~2r7M 2014 01 09.64253 14 13 01.085 -20 28 56.14 22.0w 12FZ78 F51 C~1vWd 2014 01 09.64664 14 13 01.129 -20 28 56.91 22.4w 12FZ78 F51 C~1vWd 2014 01 09.65073 14 13 01.148 -20 28 57.12 22.4w 12FZ78 F51 C~1vWd 2014 01 09.65483 14 13 01.222 -20 28 57.73 22.0w 12FZ78 F51 C~1vWd 2014 04 05.47323 14 09 08.764 -21 40 10.52 22.1w 12FZ78 F51 C~1vWd 2014 04 05.48512 14 09 08.580 -21 40 10.51 22.2w 12FZ78 F51 C~1vWd 2014 04 05.49702 14 09 08.407 -21 40 09.96 21.9w 12FZ78 F51 C~1vWd 2014 04 05.50892 14 09 08.235 -21 40 09.56 21.8w 12FZ78 F51 C~1vWd 2014 04 23.47883 14 04 36.160 -21 29 19.05 21.1G 12FZ78 F51 C~2r7M 2014 04 29.40094 14 03 04.406 -21 24 27.79 21.8G 12FZ78 F51 C~2r7M 2014 04 29.41154 14 03 04.242 -21 24 27.38 22.3G 12FZ78 F51 C~2r7M 2014 04 29.42212 14 03 04.072 -21 24 26.97 22.1G 12FZ78 F51 C~2r7M 2014 04 29.43271 14 03 03.913 -21 24 26.29 21.8G 12FZ78 F51 C~2r7M 2014 05 07.39710 14 01 03.367 -21 17 15.78 21.6r 12FZ78 F51 C~1vWd 2014 05 07.40898 14 01 03.187 -21 17 15.23 21.8r 12FZ78 F51 C~1vWd 2014 05 07.41952 14 01 03.042 -21 17 14.59 21.7r 12FZ78 F51 C~1vWd 2014 05 07.43006 14 01 02.868 -21 17 14.07 22.0r 12FZ78 F51 C~1vWd 2014 05 23.31390 13 57 25.785 -21 01 59.96 21.9w 12FZ78 F51 C~1vWd 2014 05 23.32518 13 57 25.640 -21 01 59.32 21.8w 12FZ78 F51 C~1vWd 2014 05 23.34773 13 57 25.358 -21 01 57.97 22.1w 12FZ78 F51 C~1vWd 2014 06 01.32500 13 55 43.827 -20 53 37.37 22.8G 12FZ78 F51 C~2r7M 2014 06 01.33690 13 55 43.703 -20 53 36.61 23.3G 12FZ78 F51 C~2r7M 2014 06 04.30964 13 55 14.405 -20 50 59.92 22.0G 12FZ78 F51 C~2r7M 2014 06 04.32125 13 55 14.305 -20 50 59.19 21.5G 12FZ78 F51 C~2r7M 2014 06 04.33289 13 55 14.190 -20 50 58.81 22.7G 12FZ78 F51 C~2r7M 2015 03 31.52679 14 47 20.648 -27 09 03.94 22.5G 12FZ78 F51 C~2r7M 2015 04 01.54148 14 47 08.533 -27 09 12.29 22.2G 12FZ78 F51 C~2r7M 2015 04 16.46607 14 43 47.605 -27 07 50.65 23.2G 12FZ78 F51 C~2r7M 2015 04 18.46645 14 43 18.099 -27 07 12.14 21.6G 12FZ78 F51 C~2r7M 2015 04 18.47743 14 43 17.928 -27 07 12.31 22.6G 12FZ78 F51 C~2r7M 2015 04 18.48837 14 43 17.777 -27 07 11.95 22.7G 12FZ78 F51 C~2r7M 2015 04 24.43577 14 41 47.673 -27 04 43.05 22.2G 12FZ78 F51 C~2r7M 2015 04 24.44683 14 41 47.527 -27 04 42.89 22.3G 12FZ78 F51 C~2r7M 2015 04 24.45779 14 41 47.336 -27 04 42.38 22.2G 12FZ78 F51 C~2r7M 2015 04 24.46876 14 41 47.175 -27 04 42.29 22.3G 12FZ78 F51 C~2r7M 2015 05 15.41994 14 36 23.045 -26 50 09.18 21.4G 12FZ78 F51 C~2r7M 2015 05 18.38433 14 35 38.954 -26 47 32.69 22.2G 12FZ78 F51 C~2r7M 2015 05 18.39492 14 35 38.804 -26 47 32.23 22.9G 12FZ78 F51 C~2r7M 2015 05 18.40549 14 35 38.629 -26 47 31.15 22.6G 12FZ78 F51 C~2r7M 2015 05 18.41612 14 35 38.483 -26 47 30.98 22.4G 12FZ78 F51 C~2r7M 2015 06 07.33475 14 31 16.680 -26 28 25.37 22.1G 12FZ78 F51 C~2r7M 2015 06 08.32091 14 31 05.739 -26 27 27.45 21.9G 12FZ78 F51 C~2r7M 2015 06 08.33153 14 31 05.625 -26 27 26.62 22.0G 12FZ78 F51 C~2r7M 2015 06 08.34212 14 31 05.517 -26 27 26.14 22.6G 12FZ78 F51 C~2r7M 2015 06 24.29018 14 28 43.514 -26 12 38.84 22.3G 12FZ78 F51 C~2r7M 2016 03 10.59781 15 25 29.053 -31 11 12.59 22.5G 12FZ78 F51 C~2r7M
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 0.49 0.00 -0.41
2 0.0000 0.00 -0.15 0.00 -0.59
3 0.0000 0.00 -0.34 0.00 -0.27
4 0.0001 0.00 0.66 0.00 -0.05
5 0.1696 0.00 -0.19 0.00 0.17
6 0.1697 0.00 -0.09 0.00 0.36
7 0.2900 0.00 -0.17 0.00 0.08
8 0.2900 0.00 0.00 0.00 0.12
9 0.9835 0.00 0.12 0.00 0.11
10 0.9890 0.00 -0.03 0.00 0.06
11 0.9890 0.00 0.03 0.00 0.02
12 1.9553 0.00 0.06 0.00 0.10
13 1.9553 0.00 0.09 0.00 0.06
14 1.9554 0.00 0.14 0.00 0.17
15 1.9554 0.00 0.05 0.00 0.08
16 2.0371 0.00 0.23 0.00 -0.23
17 2.0371 0.00 0.05 0.00 0.02
18 2.0372 0.00 -0.57 0.00 0.37
19 2.0372 0.00 -0.72 0.00 0.02
20 2.0808 0.00 0.07 0.00 0.11
21 2.0808 0.00 0.06 0.00 0.08
22 2.0808 0.00 0.04 0.00 0.09
23 2.0809 0.00 0.05 0.00 0.10
24 2.1024 0.00 0.14 0.00 0.47
25 2.1024 0.00 0.19 0.00 0.29
26 2.1024 0.00 -0.48 0.00 0.21
27 2.1025 0.00 0.04 0.00 -0.18
28 2.1109 0.00 -0.10 0.00 -0.05
29 2.1109 0.00 -0.24 0.00 -0.14
30 2.1138 0.00 0.07 0.00 -0.12
31 2.1138 0.00 -0.12 0.00 0.02
32 2.1191 0.00 -0.07 0.00 -0.08
33 2.1191 0.00 0.00 0.00 -0.04
34 2.1707 0.00 -0.34 0.00 0.19
35 2.1708 0.00 -0.12 0.00 0.22
36 2.8263 0.00 0.61 0.00 -0.07
37 2.9710 0.00 0.14 0.00 -0.07
38 2.9711 0.00 -0.28 0.00 -0.16
39 2.9711 0.00 0.04 0.00 -0.16
40 3.0667 0.00 -0.04 0.00 -0.12
41 3.0667 0.00 -0.03 0.00 -0.18
42 3.0667 0.00 0.08 0.00 -0.21
43 3.0668 0.00 0.04 0.00 -0.16
44 3.0874 0.00 0.17 0.00 -0.03
45 3.0874 0.00 0.24 0.00 -0.05
46 3.0875 0.00 0.10 0.00 -0.09
47 3.1348 0.00 0.00 0.00 0.03
48 3.1349 0.00 -0.01 0.00 -0.12
49 3.1349 0.00 0.10 0.00 -0.06
50 3.1350 0.00 0.13 0.00 -0.13
51 3.8201 0.00 0.17 0.00 0.17
52 3.8201 0.00 0.15 0.00 -0.11
53 3.8201 0.00 -0.24 0.00 0.17
54 3.8201 0.00 0.19 0.00 0.05
55 4.0551 0.00 0.26 0.00 -0.02
56 4.0551 0.00 0.11 0.00 -0.29
57 4.0552 0.00 0.14 0.00 -0.03
58 4.0552 0.00 0.18 0.00 0.07
59 4.1044 0.00 -0.27 0.00 -0.25
60 4.1206 0.00 -0.07 0.00 0.04
61 4.1206 0.00 -0.02 0.00 -0.10
62 4.1207 0.00 -0.08 0.00 -0.24
63 4.1207 0.00 0.04 0.00 -0.10
64 4.1425 0.00 0.08 0.00 0.15
65 4.1425 0.00 0.07 0.00 0.04
66 4.1426 0.00 0.29 0.00 0.08
67 4.1426 0.00 0.07 0.00 0.01
68 4.1861 0.00 0.20 0.00 -0.01
69 4.1861 0.00 0.16 0.00 -0.02
70 4.1862 0.00 0.21 0.00 0.04
71 4.2108 0.00 -0.33 0.00 -0.13
72 4.2108 0.00 -0.30 0.00 -0.01
73 4.2189 0.00 -0.02 0.00 -0.00
74 4.2190 0.00 0.19 0.00 0.13
75 4.2190 0.00 0.18 0.00 -0.10
76 5.0409 0.00 0.08 0.00 0.23
77 5.0437 0.00 0.10 0.00 -0.10
78 5.0845 0.00 -0.40 0.00 0.11
79 5.0900 0.00 -0.11 0.00 0.42
80 5.0900 0.00 -0.17 0.00 0.02
81 5.0901 0.00 0.06 0.00 0.15
82 5.1063 0.00 -0.31 0.00 0.12
83 5.1064 0.00 0.10 0.00 -0.05
84 5.1064 0.00 -0.18 0.00 0.14
85 5.1064 0.00 -0.01 0.00 -0.09
86 5.1638 0.00 -0.33 0.00 0.11
87 5.1719 0.00 -0.02 0.00 -0.10
88 5.1719 0.00 0.13 0.00 -0.21
89 5.1720 0.00 -0.11 0.00 0.30
90 5.1720 0.00 0.10 0.00 -0.11
91 5.2265 0.00 0.10 0.00 -0.20
92 5.2292 0.00 -0.15 0.00 -0.06
93 5.2293 0.00 -0.06 0.00 0.15
94 5.2293 0.00 0.11 0.00 0.01
95 5.2729 0.00 -0.06 0.00 -0.13
96 5.9856 0.00 -0.21 0.00 -0.24
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.
12FZ78 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 18.700 18.700 18.700 ecceobj 0.437 0.437 0.437 incobj 17.002 17.002 17.002 qmin 9.987 10.457 10.272 qmax 30.489 35.075 29.999 amean 19.423 20.957 19.570 amin 18.446 18.700 18.700 amax 20.331 22.922 20.242 emean 0.467 0.488 0.464 emin 0.426 0.437 0.437 emax 0.500 0.531 0.483 imean 14.844 15.572 17.121 imin 12.009 14.344 16.944 imax 17.271 17.271 17.271 excite_mean 0.534 0.557 0.549 fracstop 0.003 0.005 0.001 cjmean 2.920 2.841 2.898 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 217.9 230.3 164.1 kozaiamp 71.4 68.6 9.8