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: 13RQ158 # Created Fri May 3 01:15:03 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 20 observations of 20 # Arc: 13.25y # First observation: 2004/07/16 # Last observation: 2017/10/17 # Chi-squared of fit: 7.51 DOF: 34 RMS: 0.11 # Min/Max residuals: -0.21 0.21 # Exact a, adot, b, bdot, g, gdot: 1.507492E-05 2.210547E-02 -1.955405E-06 -3.015640E-03 2.312835E-02 -1.033000E-03 # Covariance matrix: 7.2984E-13 -1.3628E-13 -2.0494E-14 1.1980E-14 -6.6956E-14 -2.7256E-13 -1.3628E-13 8.3433E-14 1.6696E-14 -9.6636E-15 1.6150E-13 2.2401E-13 -2.0494E-14 1.6696E-14 6.0060E-13 -5.3124E-14 2.7984E-14 4.9341E-14 1.1980E-14 -9.6636E-15 -5.3124E-14 6.1499E-15 -1.5880E-14 -2.8644E-14 -6.6956E-14 1.6150E-13 2.7984E-14 -1.5880E-14 6.2425E-13 3.8196E-13 -2.7256E-13 2.2401E-13 4.9341E-14 -2.8644E-14 3.8196E-13 6.6026E-13 # lat0 lon0 xBary yBary zBary JD0 -2.687271 -11.913126 0.822758 -0.028125 -0.601327 2453202.875213 # Heliocentric elements and errors Epoch: 2453202.5000 = 2004/07/16 Mean Anomaly: 298.41878 +/- 0.051 Argument of Peri: 267.85039 +/- 0.060 Long of Asc Node: 148.45865 +/- 0.001 Inclination: 8.27721 +/- 0.000 Eccentricity: 0.07178853 +/- 0.0001 Semi-Major Axis: 45.19666050 +/- 0.0057 Time of Perihelion: 2472187.1993 +/- 23.5 Perihelion: 41.95205858 +/- 0.0059 Aphelion: 48.44126242 +/- 0.0067 Period (y) 303.8559 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.67446666 +/- 0.0014 Ecliptic Y -9.84269079 +/- 0.0003 Ecliptic Z -2.02724220 +/- 0.0001 Ecliptic XDOT 0.00040211 +/- 0.0000 Ecliptic YDOT 0.00258209 +/- 0.0000 Ecliptic ZDOT -0.00035074 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.84178525 +/- 0.0014 Geocenter to KBO 43.23704436 +/- 0.0015 # Hcoef: 7.01
The following table shows the complete astrometric record for 13RQ158. 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 (13RQ158) followed by the observatory code and reference code for the source of the astrometry.
2004 07 16.37447 23 20 24.61 -07 10 58.6 21.8R 13RQ158 807 C~55Nc 2004 07 16.42654 23 20 24.50 -07 10 59.6 13RQ158 807 C~55Nc 2013 09 10.31452 00 02 39.508 -04 22 06.57 23.4r 13RQ158 W84 C~55Nc 2013 09 11.28756 00 02 35.441 -04 22 35.69 24.7g 13RQ158 W84 C~55Nc 2013 09 11.28894 00 02 35.441 -04 22 35.81 23.2r 13RQ158 W84 C~55Nc 2013 10 13.12737 00 00 21.253 -04 37 40.73 23.4i 13RQ158 W84 C~55Nd 2013 10 13.12878 00 00 21.254 -04 37 40.78 23.4z 13RQ158 W84 C~55Nd 2013 11 08.15222 23 58 52.221 -04 46 23.01 23.6r 13RQ158 W84 C~55Nd 2013 12 02.10754 23 58 08.660 -04 49 27.83 22.9r 13RQ158 W84 C~55Nd 2016 08 14.39419 00 19 30.285 -03 01 52.36 23.0r 13RQ158 W84 C~55Nd 2016 10 01.19162 00 16 25.849 -03 24 53.37 23.3r 13RQ158 W84 C~55Nd 2016 10 01.19299 00 16 25.835 -03 24 53.16 22.7i 13RQ158 W84 C~55Nd 2016 10 01.19436 00 16 25.848 -03 24 53.61 24.3g 13RQ158 W84 C~55Nd 2016 12 04.10151 00 13 08.325 -03 43 16.57 23.6r 13RQ158 W84 C~55Nd 2017 09 26.29892 00 21 54.366 -02 59 31.70 22.9i 13RQ158 W84 C~55Nd 2017 09 26.30028 00 21 54.362 -02 59 31.93 23.6r 13RQ158 W84 C~55Nd 2017 09 27.25061 00 21 50.261 -02 59 59.69 23.7g 13RQ158 W84 C~55Nd 2017 10 13.22334 00 20 42.053 -03 07 29.22 22.7r 13RQ158 W84 C~55Nd 2017 10 17.23657 00 20 25.551 -03 09 12.44 22.9i 13RQ158 W84 C~55Nd 2017 10 17.23795 00 20 25.567 -03 09 12.52 23.9g 13RQ158 W84 C~55Nd
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 0.02 0.00 -0.02
2 0.0001 0.00 0.03 0.00 -0.07
3 9.1525 0.00 0.02 0.00 0.06
4 9.1551 0.00 -0.18 0.00 0.16
5 9.1551 0.00 -0.10 0.00 0.08
6 9.2423 0.00 0.06 0.00 -0.01
7 9.2423 0.00 0.16 0.00 -0.02
8 9.3136 0.00 -0.11 0.00 0.11
9 9.3791 0.00 0.01 0.00 0.00
10 12.0795 0.00 0.08 0.00 -0.20
11 12.2103 0.00 0.05 0.00 -0.04
12 12.2103 0.00 -0.07 0.00 0.21
13 12.2103 0.00 0.21 0.00 -0.20
14 12.3853 0.00 -0.02 0.00 -0.04
15 13.1962 0.00 0.02 0.00 0.05
16 13.1962 0.00 0.05 0.00 -0.14
17 13.1988 0.00 0.01 0.00 0.20
18 13.2426 0.00 -0.05 0.00 -0.08
19 13.2536 0.00 -0.21 0.00 0.01
20 13.2536 0.00 0.12 0.00 -0.04
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.
13RQ158 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.695 45.695 45.695 ecceobj 0.078 0.078 0.078 incobj 8.246 8.246 8.246 qmin 41.193 41.193 41.219 qmax 50.028 50.078 49.952 amean 45.466 45.479 45.476 amin 45.100 45.100 45.100 amax 45.864 45.880 45.880 emean 0.078 0.078 0.078 emin 0.066 0.065 0.065 emax 0.091 0.092 0.090 imean 7.460 7.463 7.464 imin 7.009 7.009 7.009 imax 7.911 7.908 7.923 excite_mean 0.152 0.152 0.152 fracstop 1.000 1.000 1.000 cjmean 3.091 3.091 3.091 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 178.8 178.6 178.4 kozaiamp 179.9 180.0 179.9