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: 13RK158 # Created Sun Dec 22 02:09:37 2024 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 4.21y # First observation: 2013/09/03 # Last observation: 2017/11/20 Preliminary a, adot, b, bdot, g, gdot: -0.000012 0.026456 0.000011 0.006716 0.025456 0.000000 # Chi-squared of fit: 9.66 DOF: 44 RMS: 0.11 # Min/Max residuals: -0.26 0.23 # Exact a, adot, b, bdot, g, gdot: 1.641368E-05 2.652095E-02 4.273376E-06 6.715926E-03 2.585441E-02 -1.674285E-03 # Covariance matrix: 1.7524E-13 -1.5747E-13 9.6524E-15 -4.4749E-14 5.5245E-14 -1.1614E-12 -1.5747E-13 6.4934E-13 -7.5535E-14 1.5879E-13 7.3329E-13 5.5348E-12 9.6524E-15 -7.5535E-14 1.4832E-13 -5.1145E-14 -1.5159E-13 -6.2677E-13 -4.4749E-14 1.5879E-13 -5.1145E-14 7.1565E-14 -1.0321E-14 1.4958E-12 5.5245E-14 7.3329E-13 -1.5159E-13 -1.0321E-14 3.4752E-12 4.9994E-12 -1.1614E-12 5.5348E-12 -6.2677E-13 1.4958E-12 4.9994E-12 4.9235E-11 # lat0 lon0 xBary yBary zBary JD0 -31.905156 -60.913291 -0.666659 -0.400841 -0.643980 2456538.553857 # Heliocentric elements and errors Epoch: 2456530.5000 = 2013/08/26 Mean Anomaly: 342.10655 +/- 0.094 Argument of Peri: 315.73010 +/- 0.123 Long of Asc Node: 3.22399 +/- 0.001 Inclination: 34.32795 +/- 0.000 Eccentricity: 0.12275315 +/- 0.0002 Semi-Major Axis: 44.44441335 +/- 0.0144 Time of Perihelion: 2461909.6775 +/- 28.2 Perihelion: 38.98872152 +/- 0.0168 Aphelion: 49.90010519 +/- 0.0196 Period (y) 296.3016 +/- 0.14 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 16.91374853 +/- 0.0012 Ecliptic Y -29.02991371 +/- 0.0021 Ecliptic Z -20.44181022 +/- 0.0015 Ecliptic XDOT 0.00255762 +/- 0.0000 Ecliptic YDOT 0.00116723 +/- 0.0000 Ecliptic ZDOT 0.00069758 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.32783219 +/- 0.0018 Geocenter to KBO 38.67812189 +/- 0.0028 # Hcoef: 7.09
The following table shows the complete astrometric record for 13RK158. 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 (13RK158) followed by the observatory code and reference code for the source of the astrometry.
2013 09 03.053079 20 45 02.44 -51 15 37.6 23.4g 13RK158 W84 C~55Nc 2013 09 03.132639 20 45 01.91 -51 15 36.2 23.0r 13RK158 W84 C~55Nc 2013 09 03.134016 20 45 01.91 -51 15 36.1 22.9i 13RK158 W84 C~55Nc 2013 09 04.10242 20 44 55.665 -51 15 17.99 23.4g 13RK158 W84 C~55Nc 2013 09 04.147361 20 44 55.38 -51 15 16.9 22.7i 13RK158 W84 C~55Nc 2013 09 08.038368 20 44 31.22 -51 13 55.7 23.4g 13RK158 W84 C~55Nc 2013 09 13.037095 20 44 02.40 -51 11 51.4 23.1i 13RK158 W84 C~55Nc 2013 09 13.038484 20 44 02.35 -51 11 51.1 22.7z 13RK158 W84 C~55Nc 2014 09 12.047500 20 52 27.50 -50 21 30.2 23.2r 13RK158 W84 C~55Nc 2014 09 12.048866 20 52 27.48 -50 21 30.0 22.8i 13RK158 W84 C~55Nc 2014 09 15.067060 20 52 10.59 -50 20 14.7 23.0r 13RK158 W84 C~55Nc 2014 09 20.020174 20 51 45.02 -50 17 54.0 22.8i 13RK158 W84 C~55Nc 2014 10 14.00682 20 50 25.688 -50 02 04.22 23.2z 13RK158 W84 C~55Nc 2016 09 08.16248 21 08 35.445 -48 33 46.83 24.0g 13RK158 W84 C~55Nc 2017 09 12.10424 21 15 43.348 -47 35 11.33 24.1g 13RK158 W84 C~55Nc 2017 09 23.06438 21 14 43.456 -47 31 12.36 22.3r 13RK158 W84 C~55Nc 2017 09 23.06575 21 14 43.438 -47 31 12.29 22.6i 13RK158 W84 C~55Nc 2017 09 27.00656 21 14 24.925 -47 29 20.58 22.7i 13RK158 W84 C~55Nc 2017 09 27.04579 21 14 24.752 -47 29 19.43 22.8r 13RK158 W84 C~55Nc 2017 09 27.04716 21 14 24.751 -47 29 19.31 23.4z 13RK158 W84 C~55Nc 2017 10 13.01331 21 13 28.819 -47 19 38.51 23.5g 13RK158 W84 C~55Nc 2017 10 16.09762 21 13 21.828 -47 17 24.56 23.2r 13RK158 W84 C~55Nc 2017 10 19.08949 21 13 16.329 -47 15 08.83 23.7g 13RK158 W84 C~55Nc 2017 10 30.05167 21 13 07.043 -47 06 05.73 22.8z 13RK158 W84 C~55Nc 2017 11 20.03484 21 13 37.911 -46 46 18.43 22.9i 13RK158 W84 C~55Nc
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 -0.04 0.00 -0.03
2 0.0002 -4.30 -0.08 2.87 -0.06
3 0.0002 -4.27 0.03 2.96 -0.02
4 0.0029 -54.43 -0.01 38.29 0.02
5 0.0030 -56.64 0.13 40.16 0.21
6 0.0136 -247.47 0.17 187.28 -0.05
7 0.0273 -467.13 0.05 388.61 -0.15
8 0.0273 -467.48 -0.25 389.04 0.23
9 1.0239 5038.46 0.06 1721.91 -0.17
10 1.0239 5038.35 0.01 1722.16 0.02
11 1.0322 4910.83 0.07 1846.94 0.03
12 1.0458 4726.25 0.07 2060.87 0.11
13 1.1114 4318.08 -0.25 3208.69 -0.26
14 3.0147 16196.26 0.08 4385.60 0.19
15 4.0248 21570.36 0.02 5943.51 -0.12
16 4.0548 21107.13 -0.02 6408.49 0.00
17 4.0548 21106.98 -0.11 6408.63 0.08
18 4.0656 20978.74 -0.09 6587.02 0.01
19 4.0657 20977.58 -0.03 6588.78 -0.04
20 4.0657 20977.62 0.05 6588.89 0.01
21 4.1094 20686.52 -0.07 7352.10 -0.00
22 4.1178 20674.56 0.04 7504.20 0.07
23 4.1260 20677.30 0.16 7651.93 -0.11
24 4.1561 20807.93 0.07 8191.86 -0.09
25 4.2135 21579.74 -0.06 9164.91 0.12
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.
13RK158 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.509 44.551 44.467 ecceobj 0.125 0.126 0.125 incobj 34.321 34.322 34.321 qmin 38.125 38.204 37.973 qmax 51.481 51.532 51.617 amean 44.663 44.704 44.622 amin 44.289 44.342 44.249 amax 45.059 45.105 45.015 emean 0.127 0.127 0.128 emin 0.113 0.113 0.110 emax 0.143 0.142 0.147 imean 34.625 34.633 34.608 imin 34.403 34.422 34.311 imax 34.919 34.924 34.940 excite_mean 0.582 0.582 0.582 fracstop 1.000 1.000 1.000 cjmean 2.662 2.663 2.662 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 169.7 168.4 175.1 kozaiamp 180.0 180.0 180.0