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: 13RY155 # Created Fri Nov 22 02:09:32 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 5.03y # First observation: 2013/09/02 # Last observation: 2018/09/14 # Chi-squared of fit: 7.32 DOF: 26 RMS: 0.12 # Min/Max residuals: -0.23 0.20 # Exact a, adot, b, bdot, g, gdot: 1.455387E-05 1.885787E-02 2.077715E-06 3.405453E-03 2.176255E-02 3.869445E-03 # Covariance matrix: 3.9392E-13 -3.8520E-15 -6.4251E-15 1.2884E-14 2.9478E-13 8.0371E-13 -3.8520E-15 2.7686E-13 -1.5272E-14 5.2152E-14 2.5531E-13 3.3330E-12 -6.4251E-15 -1.5272E-14 2.4625E-13 -6.2066E-14 -2.0809E-14 -2.0229E-13 1.2884E-14 5.2152E-14 -6.2066E-14 3.3630E-14 5.5197E-14 6.8540E-13 2.9478E-13 2.5531E-13 -2.0809E-14 5.5197E-14 6.7599E-13 3.4932E-12 8.0371E-13 3.3330E-12 -2.0229E-13 6.8540E-13 3.4932E-12 4.3791E-11 # lat0 lon0 xBary yBary zBary JD0 -4.005037 -0.755744 0.338667 -0.066379 -0.949292 2456537.782588 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 92.05919 +/- 0.058 Argument of Peri: 225.25457 +/- 0.041 Long of Asc Node: 19.70073 +/- 0.001 Inclination: 10.89902 +/- 0.000 Eccentricity: 0.19364130 +/- 0.0003 Semi-Major Axis: 44.96109930 +/- 0.0061 Time of Perihelion: 2428379.4210 +/- 18.6 Perihelion: 36.25477354 +/- 0.0139 Aphelion: 53.66742507 +/- 0.0149 Period (y) 301.4835 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.78113328 +/- 0.0017 Ecliptic Y -0.95264128 +/- 0.0000 Ecliptic Z -3.20928925 +/- 0.0001 Ecliptic XDOT 0.00054059 +/- 0.0000 Ecliptic YDOT 0.00236433 +/- 0.0000 Ecliptic ZDOT 0.00039352 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.90063934 +/- 0.0017 Geocenter to KBO 45.95040966 +/- 0.0017 # Hcoef: 7.06
The following table shows the complete astrometric record for 13RY155. 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 (13RY155) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.28181 00 03 36.565 -03 58 28.63 24.2g 13RY155 W84 C~52RL 2013 09 10.31315 00 03 05.225 -04 01 47.85 24.6g 13RY155 W84 C~52RL 2013 09 10.31452 00 03 05.220 -04 01 47.67 23.3r 13RY155 W84 C~52RL 2013 10 13.12737 00 00 52.404 -04 14 43.86 23.6i 13RY155 W84 C~52RL 2013 11 08.15222 23 59 25.986 -04 21 44.86 23.2r 13RY155 W84 C~52RL 2013 12 02.10754 23 58 41.709 -04 23 44.12 24.4r 13RY155 W84 C~52RL 2016 08 26.20647 00 14 49.878 -02 07 16.76 23.6r 13RY155 W84 C~52RL 2016 12 04.10012 00 09 23.143 -02 36 37.32 23.5i 13RY155 W84 C~52RL 2016 12 04.10151 00 09 23.149 -02 36 37.21 23.8r 13RY155 W84 C~52RL 2017 09 18.23051 00 16 56.940 -01 40 34.58 23.4i 13RY155 W84 C~52RL 2017 09 18.23188 00 16 56.955 -01 40 34.73 23.7r 13RY155 W84 C~52RL 2017 09 18.23326 00 16 56.938 -01 40 34.90 24.4g 13RY155 W84 C~52RL 2017 11 09.06291 00 13 44.428 -01 58 22.15 23.8r 13RY155 W84 C~52RL 2018 09 14.30686 00 20 45.115 -01 03 19.27 23.9r 13RY155 W84 C~52RL 2018 09 14.30823 00 20 45.101 -01 03 19.55 23.4i 13RY155 W84 C~52RL 2018 09 14.30960 00 20 45.119 -01 03 19.38 24.2g 13RY155 W84 C~52RL
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 -0.19 0.00 0.00
2 0.0220 0.00 0.13 0.00 -0.23
3 0.0220 0.00 0.14 0.00 -0.02
4 0.1118 0.00 0.04 0.00 0.06
5 0.1831 0.00 0.03 0.00 0.10
6 0.2487 0.00 -0.17 0.00 0.15
7 2.9813 0.00 -0.01 0.00 -0.07
8 3.2548 0.00 0.02 0.00 -0.11
9 3.2548 0.00 0.13 0.00 -0.00
10 4.0437 0.00 -0.13 0.00 0.20
11 4.0437 0.00 0.18 0.00 0.08
12 4.0437 0.00 0.01 0.00 -0.06
13 4.1856 0.00 -0.07 0.00 -0.11
14 5.0322 0.00 -0.04 0.00 0.11
15 5.0322 0.00 -0.17 0.00 -0.14
16 5.0322 0.00 0.18 0.00 0.07
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.
13RY155 quality flag:3 Type: 11:6EEEEE 11:6EEEEE 11:6EEEEE axisobj 45.203 45.203 45.203 ecceobj 0.193 0.193 0.193 incobj 10.872 10.872 10.872 qmin 35.425 35.456 35.437 qmax 55.241 55.274 55.263 amean 45.103 45.103 45.103 amin 44.663 44.664 44.679 amax 45.614 45.614 45.614 emean 0.199 0.199 0.199 emin 0.184 0.184 0.185 emax 0.212 0.212 0.212 imean 10.429 10.434 10.425 imin 9.622 9.633 9.607 imax 11.200 11.202 11.199 excite_mean 0.269 0.269 0.269 fracstop 1.000 1.000 1.000 cjmean 3.026 3.026 3.026 libcent 0 178.8 177.7 181.2 libamp 0 115.4 110.0 114.4 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 176.9 176.4 177.2 kozaiamp 179.9 180.0 179.9