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: 415720 # Created Sun Nov 24 02:07:01 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 51 observations of 51 # Arc: 22.07y # First observation: 1999/09/07 # Last observation: 2021/10/03 # Chi-squared of fit: 53.24 DOF: 96 RMS: 0.18 # Min/Max residuals: -0.43 0.60 # Exact a, adot, b, bdot, g, gdot: 1.574708E-05 2.554337E-02 3.615531E-06 3.472373E-03 2.530843E-02 1.157430E-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 -0.075889 14.464371 0.503687 -0.001367 -0.864958 2451429.032193 # Heliocentric elements and errors Epoch: 2451428.5000 = 1999/09/07 Mean Anomaly: 22.38738 +/- 0.000 Argument of Peri: 333.36584 +/- 0.000 Long of Asc Node: 14.29717 +/- 0.000 Inclination: 7.71325 +/- 0.000 Eccentricity: 0.07715623 +/- 0.0000 Semi-Major Axis: 43.44605020 +/- 0.0000 Time of Perihelion: 2444923.8406 +/- 0.0 Perihelion: 40.09391673 +/- 0.0000 Aphelion: 46.79818367 +/- 0.0000 Period (y) 286.3740 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.23095959 +/- 0.0000 Ecliptic Y 9.60015679 +/- 0.0000 Ecliptic Z -0.05218646 +/- 0.0000 Ecliptic XDOT -0.00057257 +/- 0.0000 Ecliptic YDOT 0.00271540 +/- 0.0000 Ecliptic ZDOT 0.00037554 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.38851684 +/- 0.0000 Geocenter to KBO 39.51253328 +/- 0.0000 # Hcoef: 7.24
The following table shows the complete astrometric record for 415720. 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 (415720) followed by the observatory code and reference code for the source of the astrometry.
1999 09 07.53145 00 53 22.71 +05 37 55.6 23.0R 415720 568 Ca9937 1999 09 07.57789 00 53 22.51 +05 37 54.6 22.7R 415720 568 Ca9937 1999 09 07.61159 00 53 22.36 +05 37 53.6 22.1R 415720 568 Ca9937 1999 09 11.59196 00 53 06.20 +05 36 20.7 23.0R 415720 568 Ca9937 1999 09 11.60241 00 53 06.15 +05 36 20.4 23.0R 415720 568 Ca9937 1999 10 08.57269 00 51 03.90 +05 24 30.4 23.0R 415720 568 Ca9937 1999 10 08.59814 00 51 03.83 +05 24 29.6 23.0R 415720 568 Ca9937 1999 10 09.54375 00 50 59.33 +05 24 03.5 22.9R 415720 568 Ca9937 1999 10 09.56363 00 50 59.24 +05 24 03.0 23.0R 415720 568 Ca9937 1999 11 10.43542 00 48 40.27 +05 10 36.8 23.3R 415720 568 Ca9937 1999 11 10.47021 00 48 40.13 +05 10 36.3 23.3R 415720 568 Ca9937 2000 08 28.47852 00 59 04.61 +06 26 03.6 23.0R 415720 568 Cb9109 2000 08 28.53299 00 59 04.42 +06 26 02.7 23.0R 415720 568 Cb9109 2000 08 29.55080 00 59 00.96 +06 25 43.6 23.0R 415720 568 Cb9109 2000 08 29.58698 00 59 00.83 +06 25 43.0 23.1R 415720 568 Cb9109 2000 12 27.26720 00 52 09.722 +05 46 59.29 23.2R 415720 568 Cl2529 2000 12 28.27424 00 52 09.792 +05 47 01.42 23.2R 415720 568 Cl2529 2002 11 07.28224 01 04 13.61 +07 26 09.5 23.1R 415720 568 Cl8251 2002 11 07.42733 01 04 13.00 +07 26 05.9 415720 568 Cl8251 2011 08 29.52378 01 55 43.614 +14 13 32.32 23.3r 415720 568 C~1C5p 2011 08 29.56781 01 55 43.507 +14 13 32.01 23.3r 415720 568 C~1C5p 2011 08 29.61470 01 55 43.379 +14 13 31.62 23.4r 415720 568 C~1C5p 2011 09 05.55403 01 55 24.832 +14 12 24.48 23.4r 415720 568 C~1C5p 2011 10 24.43329 01 51 58.615 +13 56 30.52 23.1r 415720 568 C~1C5p 2011 10 24.47598 01 51 58.401 +13 56 29.45 23.1r 415720 568 C~1C5p 2011 10 24.51878 01 51 58.189 +13 56 28.50 23.1r 415720 568 C~1C5p 2011 10 28.30888 01 51 39.728 +13 54 54.08 23.1r 415720 568 C~1C5p 2011 10 28.48864 01 51 38.828 +13 54 49.72 23.1r 415720 568 C~1C5p 2011 10 30.53322 01 51 28.893 +13 53 58.52 23.1r 415720 568 C~1C5p 2011 10 30.55522 01 51 28.787 +13 53 57.94 415720 568 C~1C5p 2011 10 31.51590 01 51 24.148 +13 53 33.99 23.2r 415720 568 C~1C5p 2011 11 24.26219 01 49 37.480 +13 44 04.58 23.3r 415720 568 C~1C5p 2011 11 24.26645 01 49 37.471 +13 44 04.57 23.3r 415720 568 C~1C5p 2012 01 25.26215 01 48 01.743 +13 33 57.64 23.3r 415720 568 C~1C5p 2012 01 26.24693 01 48 03.114 +13 34 03.53 23.4r 415720 568 C~1C5p 2012 02 21.22817 01 49 11.574 +13 39 41.01 415720 568 C~1C5p 2012 08 23.55059 02 01 08.735 +14 53 47.03 23.5r 415720 568 C~1C5p 2012 08 23.55926 02 01 08.703 +14 53 47.00 23.5r 415720 568 C~1C5p 2012 08 24.58191 02 01 06.761 +14 53 42.17 23.3r 415720 568 C~1C5p 2012 10 20.50922 01 57 31.060 +14 38 17.74 23.1r 415720 568 C~1C5p 2013 01 14.36729 01 53 02.084 +14 13 27.39 23.6r 415720 568 C~1C5p 2013 02 02.24616 01 53 23.654 +14 14 45.09 23.5r 415720 568 C~1C5p 2013 02 03.25183 01 53 25.761 +14 14 54.54 23.4r 415720 568 C~1C5p 2013 10 05.42935 02 04 01.73 +15 23 51.4 23.0R 415720 695 C~0zdB 2013 10 05.49333 02 04 01.45 +15 23 50.0 415720 695 C~0zdB 2013 10 06.44311 02 03 57.15 +15 23 30.2 415720 695 C~0zdB 2017 10 25.243715 02 23 46.64 +17 50 03.1 415720 W84 C~3hgc 2017 10 25.245706 02 23 46.62 +17 50 03.1 415720 W84 C~3hgc 2021 10 03.384500 02 47 07.742 +20 18 52.76 23.1G 415720 G37 C~596R 2021 10 03.425470 02 47 07.574 +20 18 52.42 415720 G37 C~596R 2021 10 03.457980 02 47 07.457 +20 18 52.06 415720 G37 C~596R
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 0.16 0.00 -0.26
2 0.0001 0.00 -0.02 0.00 -0.20
3 0.0002 0.00 -0.23 0.00 -0.43
4 0.0111 0.00 -0.17 0.00 -0.28
5 0.0111 0.00 -0.26 0.00 -0.33
6 0.0850 0.00 -0.25 0.00 0.14
7 0.0851 0.00 0.52 0.00 0.04
8 0.0876 0.00 -0.12 0.00 -0.05
9 0.0877 0.00 -0.05 0.00 -0.01
10 0.1750 0.00 0.35 0.00 0.14
11 0.1751 0.00 0.23 0.00 0.38
12 0.9745 0.00 0.02 0.00 -0.24
13 0.9747 0.00 -0.01 0.00 -0.13
14 0.9775 0.00 0.19 0.00 0.05
15 0.9776 0.00 0.16 0.00 0.14
16 1.3052 0.00 -0.26 0.00 0.60
17 1.3080 0.00 -0.42 0.00 0.43
18 3.1670 0.00 0.07 0.00 -0.02
19 3.1674 0.00 0.06 0.00 -0.19
20 11.9753 0.00 0.10 0.00 0.07
21 11.9755 0.00 0.13 0.00 0.11
22 11.9756 0.00 -0.04 0.00 0.10
23 11.9946 0.00 0.15 0.00 0.03
24 12.1284 0.00 -0.03 0.00 0.01
25 12.1285 0.00 -0.06 0.00 -0.00
26 12.1286 0.00 -0.05 0.00 0.11
27 12.1390 0.00 0.13 0.00 -0.03
28 12.1395 0.00 -0.02 0.00 0.10
29 12.1451 0.00 -0.09 0.00 -0.03
30 12.1452 0.00 -0.06 0.00 -0.05
31 12.1478 0.00 0.02 0.00 -0.01
32 12.2128 0.00 -0.17 0.00 -0.04
33 12.2128 0.00 -0.05 0.00 0.05
34 12.3826 0.00 0.10 0.00 -0.10
35 12.3853 0.00 0.09 0.00 -0.03
36 12.4564 0.00 -0.39 0.00 -0.03
37 12.9610 0.00 0.16 0.00 0.02
38 12.9611 0.00 -0.07 0.00 0.03
39 12.9639 0.00 -0.02 0.00 0.07
40 13.1197 0.00 -0.03 0.00 0.03
41 13.3548 0.00 -0.02 0.00 0.16
42 13.4065 0.00 0.01 0.00 0.03
43 13.4092 0.00 -0.05 0.00 0.01
44 14.0777 0.00 -0.37 0.00 0.06
45 14.0779 0.00 -0.16 0.00 -0.03
46 14.0805 0.00 0.25 0.00 -0.36
47 18.1320 0.00 0.20 0.00 0.01
48 18.1320 0.00 0.05 0.00 0.05
49 22.0722 0.00 -0.10 0.00 -0.22
50 22.0723 0.00 -0.07 0.00 -0.05
51 22.0724 0.00 0.20 0.00 0.00
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.
415720 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.424 43.424 43.424 ecceobj 0.077 0.077 0.077 incobj 7.715 7.715 7.715 qmin 39.210 39.213 39.208 qmax 47.182 47.181 47.182 amean 43.099 43.099 43.099 amin 42.764 42.764 42.762 amax 43.451 43.452 43.452 emean 0.067 0.067 0.067 emin 0.048 0.049 0.048 emax 0.086 0.086 0.086 imean 7.107 7.107 7.108 imin 6.259 6.260 6.258 imax 8.064 8.064 8.064 excite_mean 0.141 0.141 0.141 fracstop 1.000 1.000 1.000 cjmean 3.067 3.067 3.067 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 176.5 176.5 176.5 kozaiamp 180.0 180.0 179.9