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: 13RQ155 # Created Wed Apr 24 01:14:51 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 13 observations of 13 # Arc: 5.18y # First observation: 2013/09/01 # Last observation: 2018/11/07 # Chi-squared of fit: 5.49 DOF: 20 RMS: 0.11 # Min/Max residuals: -0.19 0.27 # Exact a, adot, b, bdot, g, gdot: 1.552913E-05 2.389868E-02 -4.355771E-06 -7.245235E-03 2.438445E-02 -6.937820E-03 # Covariance matrix: 5.1713E-13 -2.6982E-13 1.0445E-14 -1.4972E-14 5.6044E-13 -1.7617E-12 -2.6982E-13 3.1888E-13 3.3113E-14 -7.4016E-14 1.8538E-13 2.3708E-12 1.0445E-14 3.3113E-14 3.8364E-13 -1.4341E-13 4.2618E-13 9.2474E-14 -1.4972E-14 -7.4016E-14 -1.4341E-13 1.2907E-13 -8.4226E-13 -2.5793E-13 5.6044E-13 1.8538E-13 4.2618E-13 -8.4226E-13 8.9999E-12 -2.5523E-12 -1.7617E-12 2.3708E-12 9.2474E-14 -2.5793E-13 -2.5523E-12 2.1969E-11 # lat0 lon0 xBary yBary zBary JD0 -36.119825 -67.461473 -0.726454 -0.413903 -0.567310 2456536.600808 # Heliocentric elements and errors Epoch: 2456536.5000 = 2013/09/01 Mean Anomaly: 320.91785 +/- 0.045 Argument of Peri: 318.56489 +/- 0.066 Long of Asc Node: 49.97720 +/- 0.001 Inclination: 38.53172 +/- 0.000 Eccentricity: 0.31209799 +/- 0.0003 Semi-Major Axis: 51.07770471 +/- 0.0318 Time of Perihelion: 2471011.5953 +/- 112.1 Perihelion: 35.13645575 +/- 0.0257 Aphelion: 67.01895368 +/- 0.0438 Period (y) 365.0524 +/- 0.34 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 13.63822582 +/- 0.0016 Ecliptic Y -30.96425645 +/- 0.0038 Ecliptic Z -24.17439729 +/- 0.0030 Ecliptic XDOT 0.00204718 +/- 0.0000 Ecliptic YDOT 0.00205152 +/- 0.0000 Ecliptic ZDOT -0.00019780 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.58367972 +/- 0.0033 Geocenter to KBO 41.00997859 +/- 0.0050 # Hcoef: 7.28
The following table shows the complete astrometric record for 13RQ155. 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 (13RQ155) followed by the observatory code and reference code for the source of the astrometry.
2013 09 01.10003 20 18 06.680 -56 53 19.20 23.5i 13RQ155 W84 C~52RK 2013 09 06.13916 20 17 35.809 -56 51 32.87 23.1r 13RQ155 W84 C~52RK 2013 09 13.00730 20 16 58.705 -56 48 33.46 23.0z 13RQ155 W84 C~52RK 2015 09 13.03693 20 38 04.691 -56 44 49.65 23.2i 13RQ155 W84 C~52RK 2015 09 13.03832 20 38 04.679 -56 44 49.69 23.5r 13RQ155 W84 C~52RK 2015 09 13.03969 20 38 04.684 -56 44 49.68 24.0g 13RQ155 W84 C~52RK 2016 09 08.18591 20 49 11.656 -56 39 07.04 24.5g 13RQ155 W84 C~52RK 2016 09 21.99687 20 47 54.166 -56 33 06.76 22.9i 13RQ155 W84 C~52RK 2016 09 22.04395 20 47 53.946 -56 33 05.29 23.2r 13RQ155 W84 C~52RK 2016 09 22.04532 20 47 53.936 -56 33 05.10 23.9g 13RQ155 W84 C~52RK 2017 10 13.02989 20 57 22.935 -56 09 04.17 24.3r 13RQ155 W84 C~52RK 2018 10 28.10794 21 07 43.586 -55 42 49.23 22.5i 13RQ155 W84 C~52RK 2018 11 07.04733 21 07 53.227 -55 33 24.59 23.5r 13RQ155 W84 C~52RK
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 -0.07
2 0.0138 0.00 0.14 0.00 -0.05
3 0.0326 0.00 -0.19 0.00 0.13
4 2.0313 0.00 0.14 0.00 0.01
5 2.0313 0.00 0.08 0.00 -0.07
6 2.0313 0.00 0.27 0.00 -0.09
7 3.0201 0.00 -0.15 0.00 -0.06
8 3.0579 0.00 -0.19 0.00 0.04
9 3.0580 0.00 -0.06 0.00 0.01
10 3.0580 0.00 -0.11 0.00 0.16
11 4.1148 0.00 0.05 0.00 0.07
12 5.1554 0.00 0.07 0.00 -0.14
13 5.1826 0.00 0.02 0.00 0.02
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.
13RQ155 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 51.303 51.303 51.304 ecceobj 0.316 0.316 0.316 incobj 38.587 38.587 38.587 qmin 33.814 33.821 33.830 qmax 69.526 69.424 69.550 amean 51.270 51.282 51.283 amin 50.736 50.743 50.755 amax 51.912 51.926 51.957 emean 0.315 0.315 0.316 emin 0.294 0.294 0.293 emax 0.340 0.339 0.339 imean 37.573 37.566 37.565 imin 36.983 37.032 36.996 imax 38.107 38.096 38.078 excite_mean 0.686 0.686 0.687 fracstop 1.000 1.000 1.000 cjmean 2.550 2.550 2.550 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 190.5 193.3 196.0 kozaiamp 180.0 180.0 180.0