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: 451657 # Created Sun Nov 24 02:07:03 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 83 observations of 83 # Arc: 9.21y # First observation: 2008/10/31 # Last observation: 2018/01/17 # Chi-squared of fit: 88.16 DOF: 160 RMS: 0.18 # Min/Max residuals: -0.43 0.45 # Exact a, adot, b, bdot, g, gdot: 1.323014E-05 1.746079E-02 -6.567400E-06 -6.245060E-03 1.999281E-02 -8.343474E-03 # Covariance matrix: 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 # lat0 lon0 xBary yBary zBary JD0 -13.966593 30.928339 -0.129894 -0.237873 -0.956588 2454770.843150 # Heliocentric elements and errors Epoch: 2454770.5000 = 2008/10/31 Mean Anomaly: 332.84553 +/- 0.000 Argument of Peri: 293.60667 +/- 0.000 Long of Asc Node: 177.28299 +/- 0.000 Inclination: 23.66817 +/- 0.000 Eccentricity: 0.50831095 +/- 0.0000 Semi-Major Axis: 76.32423689 +/- 0.0000 Time of Perihelion: 2473141.4206 +/- 0.0 Perihelion: 37.52779166 +/- 0.0000 Aphelion: 115.12068213 +/- 0.0000 Period (y) 666.8097 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.41768068 +/- 0.0000 Ecliptic Y 25.56141773 +/- 0.0000 Ecliptic Z -12.07246728 +/- 0.0000 Ecliptic XDOT -0.00235122 +/- 0.0000 Ecliptic YDOT 0.00137759 +/- 0.0000 Ecliptic ZDOT -0.00055428 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 50.97473395 +/- 0.0000 Geocenter to KBO 50.01834685 +/- 0.0000 # Hcoef: 6.74
The following table shows the complete astrometric record for 451657. 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 (451657) followed by the observatory code and reference code for the source of the astrometry.
2008 10 31.342396 02 14 30.19 -01 19 12.8 451657 645 C~1fK1 2008 10 31.343218 02 14 30.18 -01 19 12.8 451657 645 C~1fK1 2008 10 31.345706 02 14 30.17 -01 19 12.9 451657 645 C~1fK1 2012 11 19.046597 02 30 54.52 -01 23 29.3 451657 W84 C~1CL9 2012 11 19.071435 02 30 54.42 -01 23 29.5 451657 W84 C~1CL9 2012 11 19.077280 02 30 54.38 -01 23 29.6 451657 W84 C~1CL9 2012 11 19.082766 02 30 54.37 -01 23 29.6 451657 W84 C~1CL9 2012 11 19.085532 02 30 54.36 -01 23 29.6 451657 W84 C~1CL9 2012 12 08.195880 02 29 49.17 -01 26 48.1 451657 W84 C~1CL9 2012 12 08.198611 02 29 49.17 -01 26 48.2 451657 W84 C~1CL9 2013 09 10.38792 02 39 27.935 -00 53 12.94 23.7g 451657 W84 C~51vx 2013 12 28.133750 02 33 32.38 -01 26 33.7 451657 W84 C~1CL9 2013 12 28.135116 02 33 32.38 -01 26 33.8 451657 W84 C~1CL9 2013 12 28.13513 02 33 32.394 -01 26 33.79 23.8r 451657 W84 C~51vx 2014 08 21.331377 02 44 31.17 -00 43 12.2 23.6r 451657 W84 C~1CL9 2014 08 21.333727 02 44 31.15 -00 43 12.1 23.1i 451657 W84 C~1CL9 2014 09 24.31448 02 43 34.859 -00 59 21.71 22.9i 451657 W84 C~51vx 2014 09 24.31584 02 43 34.852 -00 59 21.91 23.1r 451657 W84 C~51vx 2014 09 24.31723 02 43 34.859 -00 59 21.97 24.0g 451657 W84 C~51vx 2014 09 27.283576 02 43 26.40 -01 00 50.9 23.8r 451657 W84 C~1CL9 2014 09 27.289722 02 43 26.40 -01 00 51.2 23.2z 451657 W84 C~1CL9 2014 09 30.28271 02 43 17.442 -01 02 20.80 24.1r 451657 W84 C~51vx 2014 10 02.220718 02 43 11.37 -01 03 18.2 23.6r 451657 W84 C~1CL9 2014 10 02.226875 02 43 11.34 -01 03 18.5 23.3z 451657 W84 C~1CL9 2014 10 03.32170 02 43 07.891 -01 03 51.12 23.2i 451657 W84 C~51vx 2014 10 13.207384 02 42 34.02 -01 08 37.0 23.9i 451657 W84 C~1CL9 2014 10 13.211181 02 42 34.01 -01 08 37.0 23.2z 451657 W84 C~1CL9 2014 10 22.118756 02 42 00.69 -01 12 39.5 24.7g 451657 W84 C~1CL9 2014 10 22.120961 02 42 00.68 -01 12 39.5 23.6r 451657 W84 C~1CL9 2014 10 22.127118 02 42 00.66 -01 12 39.6 23.5z 451657 W84 C~1CL9 2014 10 23.31555 02 41 56.066 -01 13 10.86 23.6i 451657 W84 C~51vx 2014 10 29.105694 02 41 33.30 -01 15 34.9 23.8i 451657 W84 C~1CL9 2014 10 29.109491 02 41 33.29 -01 15 34.9 23.3z 451657 W84 C~1CL9 2015 08 19.406308 02 49 13.42 -00 41 32.7 23.4i 451657 W84 C~1bQk 2015 08 19.410104 02 49 13.43 -00 41 32.4 23.3z 451657 W84 C~1bQk 2015 08 24.358999 02 49 11.58 -00 43 39.7 24.4g 451657 W84 C~1bQk 2015 08 24.361215 02 49 11.60 -00 43 39.6 23.1r 451657 W84 C~1bQk 2015 08 24.363588 02 49 11.59 -00 43 39.6 23.5i 451657 W84 C~1bQk 2015 08 24.367419 02 49 11.58 -00 43 39.7 23.9z 451657 W84 C~1bQk 2015 10 09.208461 02 47 33.59 -01 06 02.9 23.5r 451657 W84 C~1bQk 2015 10 09.210810 02 47 33.57 -01 06 03.4 23.5i 451657 W84 C~1bQk 2015 11 03.169693 02 45 58.43 -01 17 00.5 23.7g 451657 W84 C~1j73 2015 11 03.171910 02 45 58.42 -01 17 00.5 23.3r 451657 W84 C~1j73 2015 11 03.178287 02 45 58.39 -01 17 00.6 23.4z 451657 W84 C~1j73 2015 11 29.215532 02 44 15.90 -01 24 25.3 23.7i 451657 W84 C~1hTC 2015 12 09.108455 02 43 41.54 -01 25 47.7 23.9g 451657 W84 C~1hTC 2015 12 09.110671 02 43 41.54 -01 25 47.6 23.5r 451657 W84 C~1hTC 2015 12 09.113032 02 43 41.53 -01 25 47.7 23.4i 451657 W84 C~1hTC 2015 12 09.117083 02 43 41.53 -01 25 47.8 23.3z 451657 W84 C~1hTC 2015 12 11.17894 02 43 34.919 -01 25 58.63 23.6i 451657 W84 C~51vx 2015 12 11.18032 02 43 34.901 -01 25 58.59 23.7r 451657 W84 C~51vx 2015 12 11.18169 02 43 34.905 -01 25 58.48 24.4g 451657 W84 C~51vx 2015 12 16.109144 02 43 19.97 -01 26 14.3 23.3z 451657 W84 C~1hTC 2015 12 29.065284 02 42 47.55 -01 25 51.7 24.1g 451657 W84 C~1j73 2015 12 29.067500 02 42 47.57 -01 25 51.9 23.8r 451657 W84 C~1hTC 2015 12 29.069873 02 42 47.56 -01 25 51.9 23.5i 451657 W84 C~1hTC 2016 01 09.099641 02 42 28.96 -01 24 21.9 23.4r 451657 W84 C~1j73 2016 01 09.102002 02 42 28.96 -01 24 21.9 23.8i 451657 W84 C~1j73 2016 01 09.104664 02 42 28.95 -01 24 22.0 23.2z 451657 W84 C~1j73 2016 01 09.105995 02 42 28.95 -01 24 22.0 23.2z 451657 W84 C~27du 2016 01 16.099792 02 42 21.98 -01 22 52.8 23.7r 451657 W84 C~1k1D 2016 01 16.102176 02 42 21.97 -01 22 52.8 23.5i 451657 W84 C~1k1D 2016 01 16.106146 02 42 21.97 -01 22 52.7 23.6z 451657 W84 C~1k1D 2016 09 24.28605 02 53 06.243 -00 58 21.82 24.0r 451657 W84 C~51vx 2016 09 25.27240 02 53 03.570 -00 58 52.05 23.6g 451657 W84 C~51vx 2016 12 05.19619 02 48 39.043 -01 25 04.89 23.1i 451657 W84 C~51vx 2016 12 05.20718 02 48 39.007 -01 25 05.13 23.3r 451657 W84 C~51vx 2016 12 05.20855 02 48 39.002 -01 25 05.06 23.5g 451657 W84 C~51vx 2016 12 17.173704 02 48 00.71 -01 25 55.1 22.9i 451657 W84 C~27du 2016 12 17.180336 02 48 00.70 -01 25 55.0 23.1z 451657 W84 C~27du 2016 12 24.044392 02 47 42.31 -01 25 48.2 24.4g 451657 W84 C~27du 2016 12 24.046597 02 47 42.29 -01 25 48.1 23.3r 451657 W84 C~27du 2016 12 24.048958 02 47 42.27 -01 25 48.1 23.6i 451657 W84 C~27du 2016 12 24.052940 02 47 42.28 -01 25 48.2 23.3z 451657 W84 C~27du 2017 01 03.087593 02 47 20.94 -01 24 51.4 22.8z 451657 W84 C~27du 2017 01 17.054097 02 47 03.72 -01 22 05.0 23.5r 451657 W84 C~27du 2017 01 17.056458 02 47 03.72 -01 22 05.2 23.0i 451657 W84 C~27du 2017 01 17.063079 02 47 03.72 -01 22 05.1 23.5z 451657 W84 C~27du 2017 01 29.056956 02 47 01.47 -01 18 29.1 23.4r 451657 W84 C~27du 2017 10 29.30898 02 55 58.639 -01 14 18.46 23.0i 451657 W84 C~51vx 2017 10 29.31035 02 55 58.625 -01 14 18.24 23.4g 451657 W84 C~51vx 2018 01 09.11413 02 52 00.398 -01 23 30.70 23.7r 451657 W84 C~51vx 2018 01 17.09128 02 51 51.460 -01 21 43.20 24.5g 451657 W84 C~51vx
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 -0.00 0.00 0.36
2 0.0000 0.00 -0.10 0.00 0.37
3 0.0000 0.00 -0.11 0.00 0.33
4 4.0512 0.00 0.22 0.00 -0.20
5 4.0513 0.00 0.13 0.00 -0.02
6 4.0513 0.00 -0.14 0.00 -0.03
7 4.0513 0.00 0.02 0.00 0.05
8 4.0513 0.00 0.03 0.00 0.09
9 4.1036 0.00 0.05 0.00 -0.10
10 4.1036 0.00 0.18 0.00 -0.19
11 4.8598 0.00 0.32 0.00 -0.09
12 5.1575 0.00 -0.07 0.00 -0.20
13 5.1575 0.00 -0.03 0.00 -0.31
14 5.1575 0.00 0.18 0.00 -0.30
15 5.8042 0.00 0.06 0.00 -0.43
16 5.8042 0.00 -0.23 0.00 -0.27
17 5.8973 0.00 0.19 0.00 0.00
18 5.8973 0.00 0.14 0.00 -0.16
19 5.8973 0.00 0.30 0.00 -0.17
20 5.9054 0.00 -0.21 0.00 -0.01
21 5.9054 0.00 0.06 0.00 -0.13
22 5.9136 0.00 0.27 0.00 -0.20
23 5.9189 0.00 -0.17 0.00 0.04
24 5.9189 0.00 -0.32 0.00 -0.07
25 5.9219 0.00 0.45 0.00 -0.27
26 5.9490 0.00 -0.23 0.00 -0.12
27 5.9490 0.00 -0.17 0.00 -0.02
28 5.9734 0.00 -0.01 0.00 -0.15
29 5.9734 0.00 -0.03 0.00 -0.09
30 5.9734 0.00 0.03 0.00 -0.03
31 5.9767 0.00 0.29 0.00 -0.42
32 5.9925 0.00 -0.05 0.00 0.01
33 5.9925 0.00 0.03 0.00 0.10
34 6.7983 0.00 -0.21 0.00 -0.17
35 6.7983 0.00 -0.05 0.00 0.22
36 6.8118 0.00 -0.35 0.00 -0.01
37 6.8118 0.00 -0.03 0.00 0.14
38 6.8118 0.00 -0.16 0.00 0.21
39 6.8118 0.00 -0.27 0.00 0.21
40 6.9373 0.00 -0.03 0.00 0.14
41 6.9374 0.00 -0.20 0.00 -0.29
42 7.0057 0.00 0.24 0.00 -0.21
43 7.0057 0.00 0.23 0.00 -0.16
44 7.0057 0.00 0.17 0.00 -0.11
45 7.0770 0.00 0.03 0.00 0.15
46 7.1041 0.00 -0.21 0.00 0.09
47 7.1041 0.00 -0.10 0.00 0.20
48 7.1041 0.00 -0.13 0.00 0.11
49 7.1041 0.00 0.07 0.00 0.04
50 7.1098 0.00 0.24 0.00 -0.26
51 7.1098 0.00 0.04 0.00 -0.21
52 7.1098 0.00 0.17 0.00 -0.10
53 7.1232 0.00 -0.00 0.00 -0.18
54 7.1587 0.00 -0.27 0.00 0.30
55 7.1587 0.00 0.10 0.00 0.09
56 7.1587 0.00 0.03 0.00 0.08
57 7.1889 0.00 -0.18 0.00 0.29
58 7.1889 0.00 -0.13 0.00 0.26
59 7.1889 0.00 -0.23 0.00 0.13
60 7.1889 0.00 -0.20 0.00 0.12
61 7.2081 0.00 -0.11 0.00 0.21
62 7.2081 0.00 -0.24 0.00 0.18
63 7.2081 0.00 -0.19 0.00 0.22
64 7.8985 0.00 0.03 0.00 0.03
65 7.9012 0.00 0.22 0.00 -0.06
66 8.0954 0.00 0.26 0.00 0.08
67 8.0955 0.00 0.30 0.00 -0.08
68 8.0955 0.00 0.30 0.00 0.00
69 8.1282 0.00 -0.05 0.00 0.08
70 8.1282 0.00 0.09 0.00 0.19
71 8.1470 0.00 0.14 0.00 0.09
72 8.1470 0.00 -0.08 0.00 0.18
73 8.1470 0.00 -0.29 0.00 0.18
74 8.1471 0.00 0.01 0.00 0.07
75 8.1745 0.00 -0.15 0.00 0.19
76 8.2128 0.00 -0.11 0.00 0.20
77 8.2128 0.00 -0.08 0.00 -0.03
78 8.2128 0.00 -0.01 0.00 -0.03
79 8.2456 0.00 0.05 0.00 -0.06
80 8.9937 0.00 0.25 0.00 0.03
81 8.9938 0.00 0.12 0.00 0.28
82 9.1903 0.00 0.01 0.00 -0.35
83 9.2122 0.00 0.08 0.00 0.18
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.
451657 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 77.655 77.654 77.656 ecceobj 0.515 0.515 0.515 incobj 23.620 23.620 23.620 qmin 36.621 36.643 36.614 qmax 118.786 118.500 118.830 amean 76.623 76.618 76.625 amin 75.584 75.602 75.571 amax 78.136 78.070 78.105 emean 0.504 0.504 0.504 emin 0.490 0.490 0.490 emax 0.522 0.520 0.521 imean 23.771 23.771 23.772 imin 22.959 22.963 22.961 imax 24.460 24.456 24.455 excite_mean 0.645 0.645 0.645 fracstop 1.000 1.000 1.000 cjmean 2.914 2.914 2.914 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 159.4 159.7 159.5 kozaiamp 180.0 180.0 180.0