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: 13RA158 # Created Wed Jul 17 01:09:57 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 6.04y # First observation: 2013/09/11 # Last observation: 2019/09/27 # Chi-squared of fit: 6.85 DOF: 30 RMS: 0.11 # Min/Max residuals: -0.33 0.17 # Exact a, adot, b, bdot, g, gdot: 1.655830E-05 2.459891E-02 -4.052966E-06 -8.440550E-03 2.520929E-02 3.427138E-03 # Covariance matrix: 4.0601E-13 -6.1867E-14 -3.8267E-15 2.7028E-15 3.0967E-13 -5.1236E-14 -6.1867E-14 1.4205E-13 2.3213E-14 -4.7355E-14 7.4061E-14 9.9362E-13 -3.8267E-15 2.3213E-14 1.7932E-13 -4.7450E-14 1.4312E-14 1.8367E-13 2.7028E-15 -4.7355E-14 -4.7450E-14 3.4289E-14 -3.6476E-14 -3.7766E-13 3.0967E-13 7.4061E-14 1.4312E-14 -3.6476E-14 5.0468E-13 7.7317E-13 -5.1236E-14 9.9362E-13 1.8367E-13 -3.7766E-13 7.7317E-13 7.9273E-12 # lat0 lon0 xBary yBary zBary JD0 -1.479619 3.980469 0.270531 -0.024960 -0.970167 2456546.805188 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 39.97670 +/- 0.021 Argument of Peri: 130.09452 +/- 0.033 Long of Asc Node: 179.40235 +/- 0.000 Inclination: 18.99511 +/- 0.000 Eccentricity: 0.16613050 +/- 0.0001 Semi-Major Axis: 45.83911047 +/- 0.0059 Time of Perihelion: 2443958.4875 +/- 7.2 Perihelion: 38.22383609 +/- 0.0070 Aphelion: 53.45438485 +/- 0.0085 Period (y) 310.3577 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.54560429 +/- 0.0011 Ecliptic Y 2.55329980 +/- 0.0001 Ecliptic Z -1.02446209 +/- 0.0000 Ecliptic XDOT 0.00015594 +/- 0.0000 Ecliptic YDOT 0.00268813 +/- 0.0000 Ecliptic ZDOT -0.00092585 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.63875533 +/- 0.0011 Geocenter to KBO 39.66785567 +/- 0.0011 # Hcoef: 7.73
The following table shows the complete astrometric record for 13RA158. 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 (13RA158) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.30441 00 16 57.660 +00 13 27.00 23.8g 13RA158 W84 C~52RP 2013 10 13.11063 00 14 37.232 -00 04 26.80 23.8i 13RA158 W84 C~52RP 2013 11 08.16530 00 12 59.669 -00 16 40.78 23.4r 13RA158 W84 C~52RP 2013 11 08.16667 00 12 59.674 -00 16 40.81 23.1i 13RA158 W84 C~52RP 2013 11 22.08973 00 12 24.228 -00 21 14.26 23.8g 13RA158 W84 C~52RP 2013 11 22.09111 00 12 24.227 -00 21 14.38 23.5r 13RA158 W84 C~52RP 2013 11 22.09392 00 12 24.215 -00 21 14.44 23.4i 13RA158 W84 C~52RP 2014 08 18.30786 00 24 23.090 +00 32 44.54 23.1i 13RA158 W84 C~52RP 2014 10 02.24991 00 21 21.575 +00 08 35.90 23.7r 13RA158 W84 C~52RP 2016 10 02.18440 00 33 03.088 +00 21 55.61 23.6i 13RA158 W84 C~52RP 2016 11 25.05802 00 29 45.850 -00 01 37.39 23.7i 13RA158 W84 C~52RP 2016 11 25.05939 00 29 45.850 -00 01 37.50 23.6r 13RA158 W84 C~52RP 2016 11 25.06077 00 29 45.838 -00 01 37.69 24.6g 13RA158 W84 C~52RP 2017 10 20.20247 00 37 33.120 +00 19 05.68 24.3g 13RA158 W84 C~52RP 2018 09 17.31441 00 45 43.877 +00 43 50.81 23.6r 13RA158 W84 C~52RP 2019 09 27.32266 00 50 45.57 +00 44 59.5 25.2g 13RA158 T09 C~83Bf 2019 09 27.40660 00 50 45.22 +00 44 56.6 25.3g 13RA158 T09 C~83Bf 2019 09 27.59259 00 50 44.38 +00 44 50.4 24.9g 13RA158 T09 C~83Bf
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 -0.11 0.00 -0.33
2 0.0871 0.00 -0.11 0.00 0.09
3 0.1584 0.00 -0.08 0.00 0.03
4 0.1584 0.00 0.06 0.00 0.04
5 0.1965 0.00 0.05 0.00 0.14
6 0.1965 0.00 0.08 0.00 0.04
7 0.1965 0.00 -0.01 0.00 0.03
8 0.9336 0.00 0.09 0.00 0.12
9 1.0567 0.00 0.11 0.00 -0.02
10 3.0579 0.00 0.06 0.00 -0.11
11 3.2053 0.00 0.01 0.00 0.12
12 3.2054 0.00 0.06 0.00 0.03
13 3.2054 0.00 -0.07 0.00 -0.14
14 4.1065 0.00 -0.17 0.00 -0.11
15 5.0158 0.00 0.17 0.00 -0.03
16 6.0425 0.00 -0.19 0.00 0.10
17 6.0427 0.00 0.16 0.00 0.01
18 6.0432 0.00 -0.03 0.00 0.03
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.
13RA158 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.116 46.117 46.116 ecceobj 0.171 0.171 0.171 incobj 18.943 18.943 18.943 qmin 37.545 37.551 37.531 qmax 54.589 54.562 54.633 amean 45.882 45.879 45.879 amin 45.490 45.487 45.484 amax 46.331 46.308 46.314 emean 0.165 0.165 0.165 emin 0.152 0.151 0.151 emax 0.179 0.179 0.180 imean 18.816 18.816 18.817 imin 18.469 18.469 18.470 imax 19.267 19.270 19.273 excite_mean 0.362 0.362 0.362 fracstop 1.000 1.000 1.000 cjmean 2.962 2.962 2.962 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 184.9 184.9 185.1 kozaiamp 180.0 180.0 179.9