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: 531015
# Created Wed Dec 25 02:07:22 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 94 observations of 94
# Arc: 11.85y
# First observation: 2010/05/31
# Last observation: 2022/04/08
# Chi-squared of fit: 155.69 DOF: 182 RMS: 0.23
# Min/Max residuals: -0.82 0.80
# Exact a, adot, b, bdot, g, gdot:
1.662979E-05 2.786810E-02 -3.885579E-06 -4.888829E-03 2.446379E-02 6.193386E-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
1.428964 151.564311 -1.004081 -0.003463 0.136711 2455347.776556
# Heliocentric elements and errors
Epoch: 2455348.5000 = 2010/06/01
Mean Anomaly: 13.56569 +/- 0.000
Argument of Peri: 129.02668 +/- 0.000
Long of Asc Node: 341.00002 +/- 0.000
Inclination: 10.16425 +/- 0.000
Eccentricity: 0.49092902 +/- 0.0000
Semi-Major Axis: 73.01789598 +/- 0.0000
Time of Perihelion: 2446760.7050 +/- 0.0
Perihelion: 37.17129220 +/- 0.0000
Aphelion: 108.86449976 +/- 0.0000
Period (y) 623.9534 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -36.28796655 +/- 0.0000
Ecliptic Y 18.50759880 +/- 0.0000
Ecliptic Z 1.01924695 +/- 0.0000
Ecliptic XDOT -0.00210486 +/- 0.0000
Ecliptic YDOT -0.00240009 +/- 0.0000
Ecliptic ZDOT -0.00052971 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.74766013 +/- 0.0000
Geocenter to KBO 40.87662005 +/- 0.0000
# Hcoef: 6.34
The following table shows the complete astrometric record for 531015. 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 (531015) followed by the observatory code and reference code for the source of the astrometry.
2010 05 31.27579 10 16 24.428 +12 15 11.30 22.7w 531015 F51 C~1w3p 2010 05 31.28503 10 16 24.442 +12 15 11.45 22.0G 531015 F51 C~345m 2010 06 01.27257 10 16 26.017 +12 14 56.76 22.4G 531015 F51 C~345m 2010 06 01.27987 10 16 26.029 +12 14 56.83 21.9G 531015 F51 C~345m 2011 02 03.56933 10 27 27.957 +11 01 56.25 20.7G 531015 F51 C~345m 2011 02 03.59455 10 27 27.857 +11 01 57.10 22.5G 531015 F51 C~345m 2011 02 03.60598 10 27 27.785 +11 01 57.87 22.2r 531015 F51 C~1w3p 2011 02 04.58102 10 27 23.510 +11 02 19.73 22.0r 531015 F51 C~1w3p 2011 02 04.59182 10 27 23.493 +11 02 20.12 22.3r 531015 F51 C~1w3p 2011 02 05.58755 10 27 19.063 +11 02 43.30 22.2G 531015 F51 C~345m 2012 01 21.44467 10 33 57.807 +10 06 05.99 22.7w 531015 F51 C~1w3p 2012 01 21.45876 10 33 57.750 +10 06 06.11 22.5w 531015 F51 C~1w3p 2012 01 21.58364 10 33 57.279 +10 06 08.88 22.3g 531015 F51 C~1w3p 2012 02 03.57964 10 33 05.841 +10 10 42.69 22.5r 531015 F51 C~1w3p 2012 02 16.51494 10 32 08.150 +10 15 47.88 22.5w 531015 F51 C~1w3p 2012 02 16.52958 10 32 08.094 +10 15 47.99 22.6w 531015 F51 C~1w3p 2012 02 16.54420 10 32 08.013 +10 15 48.23 22.3w 531015 F51 C~1w3p 2012 02 16.55893 10 32 07.954 +10 15 48.64 22.9w 531015 F51 C~1w3p 2012 12 27.57572 10 40 30.167 +09 09 58.43 21.9G 531015 F51 C~345m 2013 02 02.56476 10 38 37.416 +09 19 50.97 22.3G 531015 F51 C~345m 2013 02 02.57771 10 38 37.373 +09 19 50.54 22.6G 531015 F51 C~345m 2013 02 13.53882 10 37 49.737 +09 24 05.25 22.0g 531015 F51 C~1w3p 2013 02 13.56381 10 37 49.661 +09 24 05.30 21.0G 531015 F51 C~345m 2013 02 14.39201 10 37 45.948 +09 24 25.57 22.4G 531015 F51 C~345m 2013 02 14.40662 10 37 45.893 +09 24 26.01 22.2w 531015 F51 C~1w3p 2013 02 14.42120 10 37 45.820 +09 24 26.17 22.5G 531015 F51 C~345m 2013 02 14.43587 10 37 45.760 +09 24 26.81 22.3w 531015 F51 C~1w3p 2014 02 10.42173 10 43 29.766 +08 32 21.90 21.5i 531015 F51 C~1w3p 2014 02 10.43362 10 43 29.721 +08 32 22.47 21.8i 531015 F51 C~1w3p 2014 02 26.38695 10 42 18.022 +08 38 47.96 22.4w 531015 F51 C~1w3p 2014 04 04.24902 10 39 41.341 +08 52 31.87 22.4G 531015 F51 C~345m 2014 06 19.28249 10 38 53.260 +08 53 02.47 22.3G 531015 F51 C~345m 2014 11 27.56368 10 51 04.564 +07 31 57.62 22.4G 531015 F51 C~345m 2015 01 16.48328 10 50 20.992 +07 34 14.40 22.5G 531015 F51 C~345m 2015 01 16.49475 10 50 20.961 +07 34 14.41 23.2G 531015 F51 C~345m 2015 01 16.50614 10 50 20.919 +07 34 14.47 23.2G 531015 F51 C~345m 2015 01 16.51755 10 50 20.884 +07 34 14.93 22.4G 531015 F51 C~345m 2015 01 18.48019 10 50 14.986 +07 34 45.64 22.8G 531015 F51 C~345m 2015 01 18.49308 10 50 14.930 +07 34 46.10 22.7G 531015 F51 C~345m 2015 01 18.51897 10 50 14.875 +07 34 46.16 23.5G 531015 F51 C~345m 2015 04 22.26064 10 44 07.305 +08 07 24.36 22.0G 531015 F51 C~345m 2015 04 22.27312 10 44 07.266 +08 07 24.53 23.4G 531015 F51 C~345m 2015 04 22.28565 10 44 07.224 +08 07 25.50 22.3G 531015 F51 C~345m 2015 04 22.29824 10 44 07.198 +08 07 25.14 22.3G 531015 F51 C~345m 2015 06 18.28248 10 44 01.783 +08 05 10.36 21.8G 531015 F51 C~345m 2015 11 23.63063 10 56 01.819 +06 44 37.13 22.5G 531015 F51 C~345m 2015 12 23.57905 10 56 16.517 +06 41 38.89 23.1G 531015 F51 C~345m 2016 01 04.59631 10 55 59.856 +06 42 46.06 22.6G 531015 F51 C~345m 2016 01 04.60835 10 55 59.838 +06 42 46.32 22.3G 531015 F51 C~345m 2016 01 04.62040 10 55 59.811 +06 42 46.16 22.8G 531015 F51 C~345m 2016 01 04.63246 10 55 59.787 +06 42 46.23 23.1G 531015 F51 C~345m 2016 01 14.61176 10 55 36.955 +06 44 38.00 22.7G 531015 F51 C~345m 2016 01 14.62298 10 55 36.908 +06 44 37.89 22.4G 531015 F51 C~345m 2016 01 14.63425 10 55 36.910 +06 44 37.83 22.6G 531015 F51 C~345m 2016 01 14.64549 10 55 36.845 +06 44 37.91 22.9G 531015 F51 C~345m 2016 01 17.57770 10 55 28.706 +06 45 19.43 22.6G 531015 F51 C~345m 2016 01 17.58977 10 55 28.669 +06 45 19.68 22.3G 531015 F51 C~345m 2016 01 17.60181 10 55 28.656 +06 45 19.86 22.3G 531015 F51 C~345m 2016 01 17.61380 10 55 28.623 +06 45 19.85 22.6G 531015 F51 C~345m 2016 01 21.66792 10 55 16.406 +06 46 24.03 21.3G 531015 F51 C~345m 2016 02 06.48463 10 54 19.548 +06 51 26.48 22.6G 531015 F51 C~345m 2016 02 06.49783 10 54 19.489 +06 51 26.62 22.5G 531015 F51 C~345m 2016 02 06.51113 10 54 19.428 +06 51 26.46 22.4G 531015 F51 C~345m 2016 02 06.52441 10 54 19.412 +06 51 26.93 23.2G 531015 F51 C~345m 2016 03 07.34105 10 52 09.365 +07 03 18.43 22.2G 531015 F51 C~345m 2016 03 07.35270 10 52 09.307 +07 03 19.04 21.6G 531015 F51 C~345m 2016 03 07.36433 10 52 09.292 +07 03 18.91 22.7G 531015 F51 C~345m 2016 03 07.37606 10 52 09.235 +07 03 19.44 22.3G 531015 F51 C~345m 2016 12 13.58752 11 01 20.850 +05 53 41.72 23.4G 531015 F51 C~345m 2017 01 02.57475 11 01 04.744 +05 54 15.93 21.7G 531015 F51 C~345m 2017 01 02.58652 11 01 04.741 +05 54 16.20 22.6G 531015 F51 C~345m 2017 01 02.59825 11 01 04.730 +05 54 16.16 23.1G 531015 F51 C~345m 2017 01 02.61002 11 01 04.700 +05 54 16.02 23.2G 531015 F51 C~345m 2017 02 16.52097 10 58 41.749 +06 06 40.94 23.0G 531015 F51 C~345m 2017 03 18.29255 10 56 30.781 +06 18 46.74 22.3G 531015 F51 C~345m 2017 03 18.30423 10 56 30.735 +06 18 47.10 22.7G 531015 F51 C~345m 2017 03 18.31586 10 56 30.662 +06 18 47.17 22.4G 531015 F51 C~345m 2017 03 18.32758 10 56 30.635 +06 18 47.58 22.4G 531015 F51 C~345m 2017 03 22.31832 10 56 13.761 +06 20 21.31 22.9G 531015 F51 C~345m 2017 03 22.33094 10 56 13.680 +06 20 21.87 23.0G 531015 F51 C~345m 2017 03 22.34357 10 56 13.631 +06 20 22.04 23.5G 531015 F51 C~345m 2017 12 29.60249 11 06 07.187 +05 06 13.59 23.0G 531015 F51 C~345m 2017 12 29.61449 11 06 07.177 +05 06 13.64 22.5G 531015 F51 C~345m 2017 12 29.62650 11 06 07.165 +05 06 13.69 23.0G 531015 F51 C~345m 2017 12 29.63850 11 06 07.143 +05 06 13.55 22.7G 531015 F51 C~345m 2018 03 10.39254 11 02 08.708 +05 27 13.72 21.4G 531015 F51 C~345m 2018 03 18.35270 11 01 34.103 +05 30 28.01 22.5G 531015 F51 C~345m 2018 03 18.36503 11 01 34.033 +05 30 28.39 22.6G 531015 F51 C~345m 2018 03 18.37724 11 01 33.958 +05 30 28.53 22.3G 531015 F51 C~345m 2018 03 18.38945 11 01 33.932 +05 30 28.97 22.2G 531015 F51 C~345m 2018 04 13.33501 10 59 54.614 +05 39 47.04 22.3G 531015 F51 C~345m 2022 04 08.149370 11 19 24.037 +02 32 17.20 22.6G 531015 G37 C~5aTT 2022 04 08.183970 11 19 23.902 +02 32 17.82 531015 G37 C~5aTT 2022 04 08.219270 11 19 23.732 +02 32 18.42 531015 G37 C~5aTT
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 0.33 0.00 0.04
2 0.0000 0.00 0.33 0.00 0.32
3 0.0027 0.00 -0.28 0.00 -0.15
4 0.0027 0.00 -0.28 0.00 0.03
5 0.6798 0.00 0.05 0.00 -0.38
6 0.6799 0.00 0.23 0.00 -0.11
7 0.6799 0.00 -0.09 0.00 0.40
8 0.6826 0.00 -0.07 0.00 -0.26
9 0.6826 0.00 0.40 0.00 -0.12
10 0.6853 0.00 0.00 0.00 -0.10
11 1.6432 0.00 -0.01 0.00 0.08
12 1.6432 0.00 -0.09 0.00 -0.07
13 1.6436 0.00 -0.23 0.00 0.30
14 1.6791 0.00 0.04 0.00 0.25
15 1.7145 0.00 0.04 0.00 0.10
16 1.7146 0.00 0.23 0.00 -0.15
17 1.7146 0.00 0.04 0.00 -0.26
18 1.7147 0.00 0.20 0.00 -0.21
19 2.5771 0.00 -0.61 0.00 0.33
20 2.6784 0.00 -0.05 0.00 0.44
21 2.6784 0.00 0.13 0.00 -0.28
22 2.7085 0.00 -0.82 0.00 0.06
23 2.7085 0.00 -0.25 0.00 -0.49
24 2.7108 0.00 -0.13 0.00 -0.15
25 2.7108 0.00 0.05 0.00 -0.06
26 2.7109 0.00 -0.04 0.00 -0.25
27 2.7109 0.00 0.08 0.00 0.03
28 3.6992 0.00 -0.32 0.00 -0.07
29 3.6993 0.00 -0.21 0.00 0.22
30 3.7429 0.00 -0.06 0.00 -0.24
31 3.8439 0.00 0.31 0.00 0.37
32 4.0520 0.00 -0.06 0.00 -0.02
33 4.4936 0.00 -0.46 0.00 0.01
34 4.6303 0.00 0.03 0.00 0.01
35 4.6303 0.00 0.08 0.00 -0.15
36 4.6303 0.00 -0.03 0.00 -0.27
37 4.6304 0.00 -0.04 0.00 0.02
38 4.6357 0.00 -0.09 0.00 0.05
39 4.6358 0.00 -0.32 0.00 0.31
40 4.6358 0.00 0.08 0.00 -0.05
41 4.8925 0.00 0.24 0.00 -0.04
42 4.8925 0.00 0.13 0.00 -0.02
43 4.8926 0.00 -0.02 0.00 0.80
44 4.8926 0.00 0.06 0.00 0.29
45 5.0486 0.00 0.31 0.00 0.19
46 5.4821 0.00 0.04 0.00 -0.08
47 5.5641 0.00 0.03 0.00 -0.13
48 5.5970 0.00 -0.05 0.00 -0.09
49 5.5971 0.00 0.04 0.00 0.07
50 5.5971 0.00 -0.01 0.00 -0.20
51 5.5971 0.00 -0.02 0.00 -0.23
52 5.6245 0.00 0.25 0.00 0.35
53 5.6245 0.00 0.01 0.00 0.09
54 5.6245 0.00 0.50 0.00 -0.12
55 5.6246 0.00 -0.01 0.00 -0.19
56 5.6326 0.00 -0.16 0.00 -0.07
57 5.6326 0.00 -0.18 0.00 0.01
58 5.6327 0.00 0.16 0.00 0.01
59 5.6327 0.00 0.20 0.00 -0.18
60 5.6438 0.00 0.28 0.00 0.80
61 5.6871 0.00 0.09 0.00 0.15
62 5.6871 0.00 0.01 0.00 0.00
63 5.6872 0.00 -0.09 0.00 -0.45
64 5.6872 0.00 0.48 0.00 -0.26
65 5.7688 0.00 -0.32 0.00 -0.09
66 5.7689 0.00 -0.39 0.00 0.24
67 5.7689 0.00 0.18 0.00 -0.18
68 5.7689 0.00 0.13 0.00 0.06
69 6.5388 0.00 0.07 0.00 -0.30
70 6.5936 0.00 -0.21 0.00 -0.04
71 6.5936 0.00 0.06 0.00 0.15
72 6.5936 0.00 0.20 0.00 0.02
73 6.5937 0.00 0.06 0.00 -0.20
74 6.7166 0.00 0.13 0.00 -0.03
75 6.7981 0.00 -0.08 0.00 -0.05
76 6.7982 0.00 -0.01 0.00 0.04
77 6.7982 0.00 -0.34 0.00 -0.17
78 6.7982 0.00 0.02 0.00 -0.04
79 6.8092 0.00 0.11 0.00 -0.01
80 6.8092 0.00 -0.30 0.00 0.26
81 6.8092 0.00 -0.23 0.00 0.14
82 7.5820 0.00 -0.05 0.00 0.04
83 7.5820 0.00 0.03 0.00 0.04
84 7.5821 0.00 0.08 0.00 0.05
85 7.5821 0.00 -0.02 0.00 -0.14
86 7.7758 0.00 0.01 0.00 0.50
87 7.7976 0.00 0.30 0.00 -0.05
88 7.7976 0.00 0.06 0.00 0.03
89 7.7977 0.00 -0.27 0.00 -0.12
90 7.7977 0.00 0.14 0.00 0.02
91 7.8687 0.00 0.44 0.00 0.06
92 11.8545 0.00 0.10 0.00 0.05
93 11.8546 0.00 -0.01 0.00 -0.09
94 11.8547 0.00 -0.60 0.00 -0.26
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.
531015 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 73.684 73.685 73.684 ecceobj 0.496 0.496 0.496 incobj 10.156 10.156 10.156 qmin 36.289 36.333 36.308 qmax 112.477 112.579 112.534 amean 73.349 73.141 73.381 amin 72.219 72.021 72.110 amax 74.848 74.833 74.829 emean 0.493 0.490 0.492 emin 0.481 0.478 0.481 emax 0.505 0.504 0.505 imean 10.873 11.182 11.121 imin 10.393 10.526 10.458 imax 11.743 11.959 11.778 excite_mean 0.528 0.527 0.529 fracstop 1.000 1.000 1.000 cjmean 3.077 3.076 3.076 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 165.2 198.9 190.1 kozaiamp 180.0 180.0 179.9