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: 729736 # Created Sun Nov 24 02:07:51 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 82 observations of 82 # Arc: 12.37y # First observation: 2010/07/19 # Last observation: 2022/12/02 # Chi-squared of fit: 207.51 DOF: 158 RMS: 0.28 # Min/Max residuals: -0.88 1.05 # Exact a, adot, b, bdot, g, gdot: 3.369606E-05 2.753600E-01 1.004963E-05 9.040030E-02 1.325860E-01 -4.047378E-02 # 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 -8.104981 -64.703844 -0.018228 -0.142837 -1.002536 2455396.911706 # Heliocentric elements and errors Epoch: 2455396.5000 = 2010/07/19 Mean Anomaly: 300.72843 +/- 0.000 Argument of Peri: 52.78249 +/- 0.000 Long of Asc Node: 316.05532 +/- 0.000 Inclination: 19.59579 +/- 0.000 Eccentricity: 0.14286128 +/- 0.0000 Semi-Major Axis: 9.05967673 +/- 0.0000 Time of Perihelion: 2457036.3776 +/- 0.0 Perihelion: 7.76539974 +/- 0.0000 Aphelion: 10.35395372 +/- 0.0000 Period (y) 27.2695 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 3.64417713 +/- 0.0000 Ecliptic Y -7.66036676 +/- 0.0000 Ecliptic Z -1.06323899 +/- 0.0000 Ecliptic XDOT 0.00490086 +/- 0.0000 Ecliptic YDOT 0.00294596 +/- 0.0000 Ecliptic ZDOT 0.00196589 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 8.54940377 +/- 0.0000 Geocenter to KBO 7.54234042 +/- 0.0000 # Hcoef: 12.71
The following table shows the complete astrometric record for 729736. 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 (729736) followed by the observatory code and reference code for the source of the astrometry.
2010 07 19.41094 19 55 44.948 -29 02 18.28 21.3G 729736 F51 C~2jgy 2010 07 19.42193 19 55 44.694 -29 02 18.34 21.8G 729736 F51 C~2jgy 2010 07 20.38650 19 55 21.825 -29 02 25.31 21.1G 729736 F51 C~2jgy 2010 07 20.39769 19 55 21.549 -29 02 25.70 21.8G 729736 F51 C~2jgy 2010 08 01.37207 19 50 41.190 -29 01 58.73 21.7G 729736 F51 C~2jgy 2010 08 01.38419 19 50 40.902 -29 01 58.37 21.8G 729736 F51 C~2jgy 2011 07 26.44014 20 57 03.762 -19 44 58.92 21.6w 729736 F51 C~0XJW 2011 07 26.45390 20 57 03.442 -19 44 59.38 21.7w 729736 F51 C~0XJW 2011 07 26.46766 20 57 03.134 -19 44 59.91 21.6w 729736 F51 C~0XJW 2011 07 26.48142 20 57 02.825 -19 45 00.35 21.6w 729736 F51 C~0XJW 2011 07 27.43307 20 56 41.627 -19 45 31.17 21.7G 729736 F51 C~2jgy 2011 07 27.44273 20 56 41.432 -19 45 31.66 22.0G 729736 F51 C~2jgy 2011 07 27.45325 20 56 41.176 -19 45 32.04 21.8G 729736 F51 C~2jgy 2011 07 27.46250 20 56 40.963 -19 45 32.29 21.2G 729736 F51 C~2jgy 2011 07 29.431908 20 55 56.812 -19 46 35.38 21.3R 729736 568 C~0XJW 2011 07 29.433242 20 55 56.780 -19 46 35.46 21.2R 729736 568 C~0XJW 2011 07 29.434731 20 55 56.749 -19 46 35.50 21.2R 729736 568 C~0XJW 2011 07 29.435954 20 55 56.719 -19 46 35.54 21.1R 729736 568 C~0XJW 2011 07 31.240885 20 55 16.07 -19 47 33.5 21.5V 729736 H21 C~0XJW 2011 07 31.246815 20 55 15.86 -19 47 33.4 21.3V 729736 H21 C~0XJW 2011 07 31.252745 20 55 15.76 -19 47 34.0 21.4V 729736 H21 C~0XJW 2011 07 31.259697 20 55 15.60 -19 47 34.1 21.2V 729736 H21 C~0XJW 2011 08 01.370730 20 54 50.472 -19 48 07.54 21.3R 729736 568 C~0XJW 2011 08 01.372147 20 54 50.444 -19 48 07.65 21.3R 729736 568 C~0XJW 2011 08 01.373558 20 54 50.408 -19 48 07.66 21.2R 729736 568 C~0XJW 2011 08 02.41027 20 54 26.908 -19 48 39.48 21.5G 729736 F51 C~2jgy 2011 08 02.42064 20 54 26.661 -19 48 39.83 21.5G 729736 F51 C~2jgy 2011 08 02.43273 20 54 26.382 -19 48 40.31 21.7G 729736 F51 C~2jgy 2011 08 02.44267 20 54 26.161 -19 48 40.55 21.4G 729736 F51 C~2jgy 2011 08 07.347039 20 52 34.949 -19 51 02.82 21.3R 729736 568 C~0XJW 2011 08 07.350769 20 52 34.876 -19 51 02.92 21.3R 729736 568 C~0XJW 2011 08 10.42919 20 51 25.42 -19 52 25.1 20.5R 729736 F65 C~0XJW 2011 08 10.43387 20 51 25.32 -19 52 24.9 20.4R 729736 F65 C~0XJW 2011 08 16.39995 20 49 13.155 -19 54 41.06 22.1G 729736 F51 C~2jgy 2011 08 16.41004 20 49 12.940 -19 54 41.08 22.4G 729736 F51 C~2jgy 2011 08 17.34826 20 48 52.584 -19 54 59.49 21.6G 729736 F51 C~2jgy 2011 08 17.35889 20 48 52.345 -19 54 59.82 21.3G 729736 F51 C~2jgy 2011 08 19.508132 20 48 06.123 -19 55 38.50 21.4R 729736 568 C~0Xc0 2011 08 19.509566 20 48 06.086 -19 55 38.50 21.5R 729736 568 C~0Xc0 2011 09 04.20725 20 43 01.09 -19 57 36.0 729736 291 C~0Y0E 2011 09 04.22362 20 43 00.92 -19 57 36.0 729736 291 C~0Y0E 2011 09 04.23629 20 43 00.62 -19 57 36.0 729736 291 C~0Y0E 2011 10 01.25263 20 37 46.086 -19 46 39.94 22.6G 729736 F51 C~2jgy 2011 10 01.26371 20 37 46.035 -19 46 40.05 21.3G 729736 F51 C~2jgy 2012 06 16.60322 22 05 05.326 -08 41 53.98 21.8G 729736 F51 C~2jgy 2012 08 06.40544 21 53 22.898 -08 36 40.01 21.6G 729736 F51 C~2jgy 2012 08 26.35158 21 46 09.908 -08 52 27.83 21.4G 729736 F51 C~2jgy 2012 08 26.36328 21 46 09.666 -08 52 28.36 21.4G 729736 F51 C~2jgy 2013 08 14.06427 22 50 50.67 +03 42 01.7 729736 621 C~0tvy 2013 08 14.10122 22 50 49.94 +03 42 00.1 21.8R 729736 621 C~0tvy 2013 08 15.04366 22 50 31.47 +03 41 39.5 729736 621 C~0tvy 2013 08 15.10097 22 50 30.35 +03 41 39.0 21.7R 729736 621 C~0tvy 2013 08 18.49184 22 49 22.463 +03 40 01.31 22.1G 729736 F51 C~2jgy 2013 08 18.50432 22 49 22.204 +03 40 00.83 21.8G 729736 F51 C~2jgy 2013 08 28.93731 22 45 42.84 +03 32 06.0 729736 621 C~0tvy 2013 08 28.97425 22 45 41.97 +03 32 04.5 22.3R 729736 621 C~0tvy 2013 08 29.95027 22 45 20.88 +03 31 07.9 729736 621 C~0tvy 2013 08 29.98721 22 45 20.14 +03 31 05.7 22.6R 729736 621 C~0tvy 2013 09 04.21019 22 43 26.93 +03 25 32.3 21.7R 729736 H36 C~0tvy 2013 09 04.23447 22 43 26.41 +03 25 30.6 20.8R 729736 H36 C~0tvy 2013 09 04.24610 22 43 26.22 +03 25 29.7 21.6R 729736 H36 C~0tvy 2014 07 29.40615 23 56 33.78 +15 40 27.4 21.7R 729736 G37 C~16ck 2014 07 29.45401 23 56 33.36 +15 40 32.6 729736 G37 C~16ck 2014 08 28.55478 23 49 22.261 +16 06 14.90 21.6w 729736 F51 C~17ll 2014 08 28.56669 23 49 22.021 +16 06 14.84 21.5w 729736 F51 C~17ll 2014 08 28.57858 23 49 21.772 +16 06 14.93 21.6w 729736 F51 C~17ll 2014 11 20.30977 23 26 27.545 +13 53 17.64 21.6G 729736 F51 C~2jgy 2014 11 20.32294 23 26 27.515 +13 53 16.39 21.8G 729736 F51 C~2jgy 2014 11 20.33611 23 26 27.478 +13 53 15.07 22.1G 729736 F51 C~2jgy 2014 11 20.34935 23 26 27.443 +13 53 13.71 21.8G 729736 F51 C~2jgy 2015 09 09.62651 00 56 09.621 +27 24 58.74 21.6G 729736 F51 C~2jgy 2015 10 23.28722 00 40 08.563 +26 40 09.89 21.6G 729736 F51 C~2jgy 2016 11 29.31191 01 48 05.221 +34 41 34.96 21.7G 729736 F51 C~2jgy 2016 11 29.32381 01 48 05.015 +34 41 33.08 21.8G 729736 F51 C~2jgy 2022 01 07.375024 08 15 12.247 +26 45 24.82 21.8w 729736 F52 C~5LhP 2022 01 07.387243 08 15 11.970 +26 45 25.03 22.0w 729736 F52 C~5LhP 2022 01 07.399477 08 15 11.685 +26 45 25.73 22.1w 729736 F52 C~5LhP 2022 01 07.411648 08 15 11.415 +26 45 25.95 22.0w 729736 F52 C~5LhP 2022 12 02.518353 09 10 43.029 +18 58 44.68 22.7w 729736 F51 C~672G 2022 12 02.532925 09 10 42.947 +18 58 44.97 22.7w 729736 F51 C~672G 2022 12 02.547507 09 10 42.851 +18 58 44.82 22.5w 729736 F51 C~672G 2022 12 02.562138 09 10 42.790 +18 58 44.66 22.6w 729736 F51 C~672G
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 -0.23 0.00 0.11
2 0.0000 0.00 -0.04 0.00 0.15
3 0.0027 0.00 0.31 0.00 0.22
4 0.0027 0.00 0.24 0.00 -0.08
5 0.0355 0.00 0.08 0.00 -0.03
6 0.0355 0.00 0.00 0.00 0.20
7 1.0186 0.00 0.10 0.00 0.23
8 1.0186 0.00 -0.00 0.00 0.22
9 1.0186 0.00 0.07 0.00 0.14
10 1.0187 0.00 0.13 0.00 0.14
11 1.0213 0.00 -0.14 0.00 0.16
12 1.0213 0.00 0.24 0.00 -0.02
13 1.0213 0.00 0.01 0.00 -0.05
14 1.0214 0.00 -0.02 0.00 -0.00
15 1.0268 0.00 -0.22 0.00 0.12
16 1.0268 0.00 -0.24 0.00 0.08
17 1.0268 0.00 -0.19 0.00 0.09
18 1.0268 0.00 -0.21 0.00 0.09
19 1.0317 0.00 0.69 0.00 -0.60
20 1.0317 0.00 -0.41 0.00 -0.31
21 1.0317 0.00 0.14 0.00 -0.73
22 1.0318 0.00 0.14 0.00 -0.61
23 1.0348 0.00 -0.17 0.00 0.15
24 1.0348 0.00 -0.10 0.00 0.08
25 1.0348 0.00 -0.15 0.00 0.12
26 1.0376 0.00 0.11 0.00 0.08
27 1.0377 0.00 0.01 0.00 0.04
28 1.0377 0.00 0.03 0.00 -0.07
29 1.0377 0.00 0.18 0.00 -0.00
30 1.0512 0.00 -0.12 0.00 0.11
31 1.0512 0.00 0.07 0.00 0.12
32 1.0596 0.00 0.03 0.00 -0.48
33 1.0596 0.00 0.14 0.00 -0.17
34 1.0759 0.00 -0.00 0.00 -0.08
35 1.0760 0.00 0.15 0.00 0.10
36 1.0785 0.00 0.03 0.00 0.14
37 1.0786 0.00 -0.02 0.00 0.02
38 1.0845 0.00 0.01 0.00 0.15
39 1.0845 0.00 -0.08 0.00 0.17
40 1.1274 0.00 -0.88 0.00 -0.21
41 1.1275 0.00 0.89 0.00 -0.26
42 1.1275 0.00 -0.27 0.00 -0.30
43 1.2015 0.00 -0.35 0.00 0.44
44 1.2015 0.00 -0.12 0.00 -0.18
45 1.9115 0.00 0.29 0.00 -0.04
46 2.0506 0.00 0.15 0.00 0.02
47 2.1052 0.00 -0.19 0.00 0.03
48 2.1053 0.00 0.04 0.00 0.12
49 3.0709 0.00 -0.14 0.00 0.06
50 3.0710 0.00 -0.12 0.00 -0.74
51 3.0736 0.00 -0.53 0.00 0.16
52 3.0738 0.00 -0.12 0.00 1.04
53 3.0830 0.00 -0.10 0.00 -0.10
54 3.0831 0.00 -0.08 0.00 -0.16
55 3.1116 0.00 1.05 0.00 -0.76
56 3.1117 0.00 0.12 0.00 -0.15
57 3.1144 0.00 -0.51 0.00 -0.11
58 3.1145 0.00 0.54 0.00 -0.13
59 3.1288 0.00 -0.76 0.00 0.54
60 3.1289 0.00 -0.51 0.00 0.51
61 3.1289 0.00 0.49 0.00 0.41
62 4.0274 0.00 0.02 0.00 0.22
63 4.0275 0.00 -0.02 0.00 0.30
64 4.1099 0.00 0.20 0.00 -0.01
65 4.1099 0.00 0.15 0.00 0.01
66 4.1100 0.00 -0.06 0.00 0.18
67 4.3392 0.00 0.11 0.00 -0.04
68 4.3393 0.00 0.15 0.00 -0.08
69 4.3393 0.00 0.08 0.00 -0.17
70 4.3393 0.00 0.03 0.00 -0.31
71 5.1423 0.00 -0.10 0.00 -0.29
72 5.2618 0.00 -0.00 0.00 -0.10
73 6.3652 0.00 0.10 0.00 -0.07
74 6.3653 0.00 0.00 0.00 0.14
75 11.4715 0.00 0.10 0.00 0.16
76 11.4715 0.00 0.04 0.00 -0.06
77 11.4716 0.00 -0.13 0.00 0.21
78 11.4716 0.00 -0.10 0.00 0.01
79 12.3726 0.00 0.27 0.00 -0.27
80 12.3727 0.00 0.13 0.00 0.09
81 12.3727 0.00 -0.21 0.00 0.02
82 12.3728 0.00 -0.01 0.00 -0.06
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.