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: 10RN45 # Created Fri Nov 22 02:09:08 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 54 observations of 54 # Arc: 14.01y # First observation: 2010/09/03 # Last observation: 2024/09/07 # Chi-squared of fit: 187.25 DOF: 102 RMS: 0.33 # Min/Max residuals: -1.64 1.40 # Exact a, adot, b, bdot, g, gdot: 1.500826E-05 2.201490E-02 -6.798789E-06 -1.013440E-02 2.491620E-02 -2.523365E-03 # Covariance matrix: 1.1812E-13 -3.3312E-14 -2.2865E-14 1.2342E-14 1.0716E-14 -8.1419E-14 -3.3312E-14 1.5786E-14 1.2524E-14 -6.8619E-15 -7.1415E-16 4.5276E-14 -2.2865E-14 1.2524E-14 8.1599E-14 -1.2912E-14 -9.2029E-15 3.8888E-14 1.2342E-14 -6.8619E-15 -1.2912E-14 4.3306E-15 1.1753E-15 -2.1203E-14 1.0716E-14 -7.1415E-16 -9.2029E-15 1.1753E-15 1.9630E-13 -7.4693E-15 -8.1419E-14 4.5276E-14 3.8888E-14 -2.1203E-14 -7.4693E-15 1.3989E-13 # lat0 lon0 xBary yBary zBary JD0 -22.831434 -16.977334 0.041644 -0.389406 -0.924834 2455442.904526 # Heliocentric elements and errors Epoch: 2455442.5000 = 2010/09/03 Mean Anomaly: 275.84459 +/- 0.038 Argument of Peri: 321.11415 +/- 0.028 Long of Asc Node: 123.38513 +/- 0.000 Inclination: 32.75347 +/- 0.000 Eccentricity: 0.10862232 +/- 0.0000 Semi-Major Axis: 41.03598739 +/- 0.0029 Time of Perihelion: 2477887.7933 +/- 12.9 Perihelion: 36.57856311 +/- 0.0027 Aphelion: 45.49341168 +/- 0.0033 Period (y) 262.8788 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.32984565 +/- 0.0006 Ecliptic Y -11.13453087 +/- 0.0002 Ecliptic Z -15.57327963 +/- 0.0003 Ecliptic XDOT 0.00004926 +/- 0.0000 Ecliptic YDOT 0.00252075 +/- 0.0000 Ecliptic ZDOT -0.00091878 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.06541162 +/- 0.0006 Geocenter to KBO 40.13462378 +/- 0.0007 # Hcoef: 5.65
The following table shows the complete astrometric record for 10RN45. 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 (10RN45) followed by the observatory code and reference code for the source of the astrometry.
2010 09 03.40376 23 36 01.31 -27 35 02.9 21.7i 10RN45 F51 C~3xq7 2010 09 03.41446 23 36 01.26 -27 35 03.1 21.7i 10RN45 F51 C~3xq7 2010 09 03.44029 23 36 01.12 -27 35 04.4 21.8r 10RN45 F51 C~3xq7 2010 09 07.04679 23 35 43.462 -27 37 19.20 21.8R 10RN45 809 C~0MhP 2010 09 07.13096 23 35 42.993 -27 37 22.62 21.6R 10RN45 809 C~0MhP 2010 09 07.22931 23 35 42.429 -27 37 25.21 21.8R 10RN45 809 C~0MhP 2010 09 08.04373 23 35 38.446 -27 37 55.05 10RN45 809 C~0MhP 2010 09 08.12639 23 35 38.035 -27 37 58.00 21.5R 10RN45 809 C~0MhP 2010 09 30.22122 23 33 47.47 -27 48 30.8 10RN45 807 C~0NJE 2010 09 30.27806 23 33 47.22 -27 48 31.3 10RN45 807 C~0NJE 2010 11 12.13000 23 31 05.59 -27 50 47.82 10RN45 807 C~0ev7 2011 09 17.45829 23 41 10.18 -27 41 35.4 21.6i 10RN45 F51 C~3xq7 2011 09 17.46969 23 41 10.12 -27 41 35.7 21.6i 10RN45 F51 C~3xq7 2012 09 06.46860 23 48 20.78 -27 33 12.1 21.2i 10RN45 F51 C~3xq7 2012 09 06.48043 23 48 20.70 -27 33 12.4 10RN45 F51 C~3xq7 2013 08 28.50225 23 55 24.82 -27 23 16.8 21.5i 10RN45 F51 C~3xq7 2013 08 28.51366 23 55 24.76 -27 23 17.3 21.5i 10RN45 F51 C~3xq7 2013 11 18.28798 23 49 33.46 -27 44 10.1 10RN45 F51 C~3xq7 2013 11 18.30129 23 49 33.43 -27 44 09.6 10RN45 F51 C~3xq7 2014 07 20.217524 00 03 52.80 -26 46 37.0 10RN45 W84 C~3xq7 2014 07 20.218534 00 03 52.79 -26 46 36.9 10RN45 W84 C~3xq7 2014 07 20.219552 00 03 52.79 -26 46 37.0 10RN45 W84 C~3xq7 2014 07 20.221602 00 03 52.78 -26 46 37.2 10RN45 W84 C~3xq7 2014 07 20.222611 00 03 52.78 -26 46 37.1 10RN45 W84 C~3xq7 2014 08 16.55931 00 02 36.75 -27 09 05.0 10RN45 F51 C~3xq7 2014 08 16.56984 00 02 36.70 -27 09 05.2 21.6i 10RN45 F51 C~3xq7 2014 09 11.45790 00 00 40.79 -27 27 58.3 10RN45 F51 C~3xq7 2014 09 11.46910 00 00 40.75 -27 27 58.6 10RN45 F51 C~3xq7 2014 09 11.48032 00 00 40.68 -27 27 58.8 10RN45 F51 C~3xq7 2014 09 11.49152 00 00 40.62 -27 27 59.1 10RN45 F51 C~3xq7 2014 09 16.42167 00 00 15.92 -27 30 57.3 21.6i 10RN45 F51 C~3xq7 2014 09 16.43181 00 00 15.87 -27 30 57.5 21.6i 10RN45 F51 C~3xq7 2014 09 16.44110 00 00 15.84 -27 30 57.7 21.5i 10RN45 F51 C~3xq7 2016 09 07.348310 00 13 45.08 -27 13 08.2 21.4r 10RN45 W84 C~3xq7 2016 09 07.374688 00 13 44.95 -27 13 09.4 22.4g 10RN45 W84 C~3xq7 2017 09 26.329774 00 18 36.82 -27 16 38.0 21.2i 10RN45 W84 C~3xq7 2017 09 26.331153 00 18 36.80 -27 16 38.0 21.8r 10RN45 W84 C~3xq7 2021 09 10.443795 00 45 49.891 -26 23 28.64 21.7w 10RN45 F51 C~52ML 2021 09 10.454079 00 45 49.823 -26 23 29.06 22.0w 10RN45 F51 C~52ML 2021 09 10.464366 00 45 49.786 -26 23 29.67 21.7w 10RN45 F51 C~52ML 2021 09 10.474652 00 45 49.730 -26 23 30.09 21.7w 10RN45 F51 C~52ML 2022 08 28.479449 00 53 15.731 -25 59 04.85 21.8w 10RN45 F51 C~5ld1 2022 08 28.489870 00 53 15.705 -25 59 05.42 21.7w 10RN45 F51 C~5ld1 2022 08 28.500172 00 53 15.675 -25 59 06.06 21.8w 10RN45 F51 C~5ld1 2022 08 28.510359 00 53 15.635 -25 59 06.65 21.8w 10RN45 F51 C~5ld1 2022 09 01.460715 00 53 00.359 -26 02 23.41 21.7w 10RN45 F52 C~5ld1 2022 09 01.482265 00 53 00.284 -26 02 24.48 21.6w 10RN45 F52 C~5ld1 2022 09 01.493016 00 53 00.227 -26 02 24.95 21.8w 10RN45 F52 C~5ld1 2023 10 18.326837 00 55 45.979 -26 15 40.08 21.7w 10RN45 F51 C~7Ajg 2023 10 18.337353 00 55 45.904 -26 15 40.11 21.7w 10RN45 F51 C~7Ajg 2023 10 18.347862 00 55 45.847 -26 15 40.33 21.8w 10RN45 F51 C~7Ajg 2024 09 07.520973 01 05 36.098 -25 36 37.46 21.9w 10RN45 F51 C~8DZl 2024 09 07.535046 01 05 36.034 -25 36 38.25 21.9w 10RN45 F51 C~8DZl 2024 09 07.545698 01 05 35.987 -25 36 38.42 21.9w 10RN45 F51 C~8DZl
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 -0.25 0.00 -0.02
2 0.0000 0.00 -0.21 0.00 0.19
3 0.0001 0.00 -0.37 0.00 -0.12
4 0.0100 0.00 1.40 0.00 -0.52
5 0.0102 0.00 0.72 0.00 -0.85
6 0.0105 0.00 -0.28 0.00 0.14
7 0.0127 0.00 0.58 0.00 -0.40
8 0.0129 0.00 0.68 0.00 -0.36
9 0.0734 0.00 -0.33 0.00 -0.02
10 0.0736 0.00 0.13 0.00 0.65
11 0.1909 0.00 -1.64 0.00 0.80
12 1.0378 0.00 0.07 0.00 0.08
13 1.0378 0.00 0.05 0.00 0.13
14 2.0098 0.00 -0.02 0.00 0.04
15 2.0098 0.00 -0.33 0.00 0.19
16 2.9845 0.00 -0.59 0.00 -0.11
17 2.9846 0.00 -0.69 0.00 -0.11
18 3.2084 0.00 0.05 0.00 -0.12
19 3.2085 0.00 0.03 0.00 0.13
20 3.8763 0.00 0.10 0.00 -0.22
21 3.8763 0.00 -0.03 0.00 -0.07
22 3.8763 0.00 -0.00 0.00 -0.12
23 3.8763 0.00 -0.10 0.00 -0.22
24 3.8763 0.00 -0.07 0.00 -0.07
25 3.9511 0.00 -0.02 0.00 0.04
26 3.9512 0.00 -0.15 0.00 0.35
27 4.0221 0.00 0.13 0.00 -0.22
28 4.0221 0.00 0.38 0.00 -0.10
29 4.0221 0.00 0.18 0.00 0.12
30 4.0221 0.00 0.13 0.00 0.24
31 4.0356 0.00 -0.13 0.00 0.16
32 4.0357 0.00 -0.10 0.00 0.31
33 4.0357 0.00 0.17 0.00 0.43
34 6.0122 0.00 0.08 0.00 -0.04
35 6.0122 0.00 0.04 0.00 -0.16
36 7.0635 0.00 0.32 0.00 0.02
37 7.0635 0.00 0.12 0.00 0.06
38 11.0200 0.00 0.18 0.00 0.10
39 11.0200 0.00 -0.12 0.00 0.14
40 11.0200 0.00 0.05 0.00 -0.01
41 11.0200 0.00 -0.06 0.00 0.02
42 11.9838 0.00 -0.29 0.00 0.07
43 11.9838 0.00 -0.08 0.00 0.03
44 11.9838 0.00 0.06 0.00 -0.09
45 11.9839 0.00 0.05 0.00 -0.16
46 11.9947 0.00 -0.05 0.00 -0.21
47 11.9947 0.00 0.15 0.00 -0.21
48 11.9948 0.00 -0.05 0.00 -0.15
49 13.1223 0.00 0.24 0.00 -0.06
50 13.1223 0.00 -0.07 0.00 0.11
51 13.1224 0.00 -0.10 0.00 0.08
52 14.0126 0.00 0.00 0.00 -0.00
53 14.0127 0.00 -0.05 0.00 -0.12
54 14.0127 0.00 -0.07 0.00 0.22
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.
10RN45 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.006 41.006 41.006 ecceobj 0.110 0.110 0.110 incobj 32.788 32.788 32.788 qmin 35.516 35.534 35.514 qmax 46.410 46.431 46.446 amean 40.859 40.859 40.859 amin 40.535 40.540 40.546 amax 41.199 41.196 41.209 emean 0.112 0.112 0.112 emin 0.098 0.097 0.097 emax 0.127 0.127 0.127 imean 31.261 31.261 31.261 imin 30.895 30.902 30.899 imax 31.646 31.635 31.646 excite_mean 0.531 0.531 0.531 fracstop 1.000 1.000 1.000 cjmean 2.716 2.716 2.716 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 174.5 174.5 174.3 kozaiamp 180.0 180.0 180.0