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: 13RB158 # Created Thu Apr 25 01:14:56 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 4.11y # First observation: 2013/09/11 # Last observation: 2017/10/22 Preliminary a, adot, b, bdot, g, gdot: -0.000012 0.029786 -0.000059 0.011048 0.027914 0.000000 # Chi-squared of fit: 4.72 DOF: 20 RMS: 0.11 # Min/Max residuals: -0.19 0.21 # Exact a, adot, b, bdot, g, gdot: 1.686989E-05 2.969159E-02 6.962020E-06 1.100102E-02 2.785653E-02 3.795237E-05 # Covariance matrix: 6.7352E-13 -2.3489E-13 1.4935E-14 -3.6686E-14 4.9696E-13 -7.8273E-13 -2.3489E-13 8.3085E-13 -1.4061E-13 3.2022E-13 4.9441E-13 6.7535E-12 1.4935E-14 -1.4061E-13 3.6073E-13 -1.5406E-13 -1.0622E-13 -1.2159E-12 -3.6686E-14 3.2022E-13 -1.5406E-13 1.7292E-13 2.3694E-13 2.7657E-12 4.9696E-13 4.9441E-13 -1.0622E-13 2.3694E-13 1.3955E-12 4.9802E-12 -7.8273E-13 6.7535E-12 -1.2159E-12 2.7657E-12 4.9802E-12 5.8316E-11 # lat0 lon0 xBary yBary zBary JD0 -1.268224 -0.712544 0.190125 -0.021798 -0.989144 2456546.810818 # Heliocentric elements and errors Epoch: 2456540.5000 = 2013/09/05 Mean Anomaly: 358.83195 +/- 0.052 Argument of Peri: 358.23731 +/- 0.081 Long of Asc Node: 2.32263 +/- 0.000 Inclination: 20.36804 +/- 0.000 Eccentricity: 0.20646069 +/- 0.0001 Semi-Major Axis: 46.48094137 +/- 0.0096 Time of Perihelion: 2456916.0521 +/- 16.7 Perihelion: 36.88445398 +/- 0.0099 Aphelion: 56.07742875 +/- 0.0132 Period (y) 316.8988 +/- 0.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 36.87330965 +/- 0.0015 Ecliptic Y -0.64565791 +/- 0.0000 Ecliptic Z -0.79430435 +/- 0.0000 Ecliptic XDOT 0.00005777 +/- 0.0000 Ecliptic YDOT 0.00291647 +/- 0.0000 Ecliptic ZDOT 0.00108101 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.88751494 +/- 0.0015 Geocenter to KBO 35.89822129 +/- 0.0015 # Hcoef: 8.02
The following table shows the complete astrometric record for 13RB158. 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 (13RB158) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.31004 23 59 24.195 -01 26 49.16 24.4g 13RB158 W84 C~52RP 2013 09 29.22531 23 57 52.197 -01 34 46.49 23.1r 13RB158 W84 C~52RP 2013 11 08.16252 23 54 56.871 -01 48 35.40 23.7i 13RB158 W84 C~52RP 2014 10 21.20719 00 01 20.093 -00 28 25.45 23.1i 13RB158 W84 C~52RP 2014 10 28.18397 00 00 50.070 -00 30 49.61 23.8r 13RB158 W84 C~52RP 2014 11 15.10012 23 59 47.896 -00 35 20.93 22.7z 13RB158 W84 C~52RP 2016 09 11.20101 00 15 04.607 +02 18 46.14 23.5i 13RB158 W84 C~52RP 2016 09 22.12035 00 14 09.194 +02 14 02.59 24.0r 13RB158 W84 C~52RP 2017 08 22.31219 00 21 48.825 +03 40 52.29 23.8r 13RB158 W84 C~52RP 2017 09 27.17317 00 18 58.311 +03 26 58.01 23.4r 13RB158 W84 C~52RP 2017 09 27.19103 00 18 58.215 +03 26 57.66 23.3i 13RB158 W84 C~52RP 2017 09 27.19240 00 18 58.194 +03 26 57.49 24.2g 13RB158 W84 C~52RP 2017 10 22.17470 00 16 53.031 +03 16 03.96 23.8r 13RB158 W84 C~52RP
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 -0.00 0.00 -0.15
2 0.0490 -1455.55 0.12 110.81 0.07
3 0.1584 -4197.72 -0.05 395.31 0.03
4 1.1085 2989.30 0.14 2522.92 -0.00
5 1.1276 2518.68 -0.08 2569.86 0.05
6 1.1767 1555.00 -0.13 2692.02 -0.03
7 3.0004 18380.06 0.13 6824.85 0.21
8 3.0303 17498.24 -0.19 6893.82 -0.06
9 3.9452 25990.20 -0.13 8975.02 0.08
10 4.0434 23275.72 0.09 9215.91 -0.15
11 4.0435 23274.25 0.12 9216.16 -0.02
12 4.0435 23273.88 -0.13 9216.12 -0.06
13 4.1119 21269.44 0.11 9355.87 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.
13RB158 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.761 46.790 46.733 ecceobj 0.212 0.212 0.211 incobj 20.316 20.316 20.317 qmin 35.567 35.746 35.689 qmax 57.795 57.781 57.747 amean 46.457 46.505 46.461 amin 46.039 46.106 46.053 amax 46.964 46.987 46.969 emean 0.214 0.213 0.211 emin 0.199 0.197 0.195 emax 0.233 0.230 0.230 imean 20.345 20.405 20.452 imin 19.888 19.988 19.956 imax 20.919 20.955 20.974 excite_mean 0.408 0.409 0.408 fracstop 1.000 1.000 1.000 cjmean 2.922 2.923 2.922 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 169.7 170.0 172.3 kozaiamp 180.0 180.0 180.0