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: 13RF157 # Created Tue May 7 01:14:25 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 10 observations of 10 # Arc: 5.16y # First observation: 2013/09/10 # Last observation: 2018/11/07 # Chi-squared of fit: 4.00 DOF: 14 RMS: 0.11 # Min/Max residuals: -0.20 0.21 # Exact a, adot, b, bdot, g, gdot: 2.019392E-05 3.438111E-02 2.436517E-06 4.056573E-03 2.794611E-02 -1.198015E-03 # Covariance matrix: 5.1797E-13 -1.3756E-13 9.2599E-15 -7.0751E-15 1.4296E-13 -3.3063E-13 -1.3756E-13 8.3801E-13 3.6400E-15 9.6513E-14 4.6700E-13 5.5945E-12 9.2599E-15 3.6400E-15 4.7856E-13 -1.1386E-13 3.8176E-14 -1.1510E-14 -7.0751E-15 9.6513E-14 -1.1386E-13 5.0687E-14 4.0409E-14 6.9182E-13 1.4296E-13 4.6700E-13 3.8176E-14 4.0409E-14 8.7725E-13 2.6482E-12 -3.3063E-13 5.5945E-12 -1.1510E-14 6.9182E-13 2.6482E-12 3.9788E-11 # lat0 lon0 xBary yBary zBary JD0 -19.868876 31.328319 0.698447 -0.246818 -0.683280 2456545.828898 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 356.15615 +/- 0.013 Argument of Peri: 297.77748 +/- 0.035 Long of Asc Node: 101.77643 +/- 0.001 Inclination: 20.44036 +/- 0.000 Eccentricity: 0.42431550 +/- 0.0001 Semi-Major Axis: 63.04476390 +/- 0.0149 Time of Perihelion: 2458498.7502 +/- 64.5 Perihelion: 36.29389334 +/- 0.0115 Aphelion: 89.79563445 +/- 0.0226 Period (y) 500.5895 +/- 0.18 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.72961650 +/- 0.0010 Ecliptic Y 17.28185624 +/- 0.0006 Ecliptic Z -12.16151819 +/- 0.0004 Ecliptic XDOT -0.00173640 +/- 0.0000 Ecliptic YDOT 0.00288887 +/- 0.0000 Ecliptic ZDOT 0.00041379 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.47489476 +/- 0.0008 Geocenter to KBO 35.78321730 +/- 0.0012 # Hcoef: 8.22
The following table shows the complete astrometric record for 13RF157. 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 (13RF157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.32812 02 24 01.810 -06 44 13.62 24.6g 13RF157 W84 C~52RO 2013 10 11.22741 02 21 59.461 -07 02 31.04 24.3r 13RF157 W84 C~52RO 2013 10 11.22879 02 21 59.447 -07 02 31.11 23.2i 13RF157 W84 C~52RO 2016 09 23.27586 02 44 44.309 -04 09 33.54 23.3i 13RF157 W84 C~52RO 2017 09 14.38359 02 52 19.271 -03 09 28.25 23.2z 13RF157 W84 C~52RO 2017 10 17.30394 02 50 11.811 -03 27 17.07 23.8i 13RF157 W84 C~52RO 2017 10 29.31172 02 49 11.084 -03 32 31.60 24.1r 13RF157 W84 C~52RO 2017 11 27.17267 02 46 41.750 -03 39 36.30 23.5i 13RF157 W84 C~52RO 2018 01 17.08852 02 44 05.794 -03 27 34.24 24.0i 13RF157 W84 C~52RO 2018 11 07.24476 02 55 34.857 -02 40 12.69 23.7g 13RF157 W84 C~52RO
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 -0.13 0.00 -0.08
2 0.0846 0.00 0.10 0.00 0.09
3 0.0846 0.00 -0.01 0.00 0.06
4 3.0361 0.00 -0.02 0.00 -0.11
5 4.0111 0.00 0.10 0.00 -0.20
6 4.1012 0.00 0.21 0.00 0.02
7 4.1341 0.00 0.08 0.00 0.15
8 4.2131 0.00 -0.12 0.00 0.04
9 4.3525 0.00 -0.00 0.00 -0.06
10 5.1579 0.00 -0.14 0.00 0.12
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.
13RF157 quality flag:3 Type: 3:1EE 3:1EE 3:1EE Type: 3:1II 3:1II 3:1II axisobj 63.617 63.617 63.618 ecceobj 0.429 0.429 0.429 incobj 20.450 20.450 20.450 qmin 34.716 34.720 34.712 qmax 92.028 92.035 92.013 amean 62.630 62.630 62.630 amin 61.804 61.803 61.805 amax 63.751 63.756 63.743 emean 0.423 0.423 0.423 emin 0.383 0.383 0.383 emax 0.445 0.445 0.445 imean 18.506 18.517 18.495 imin 17.465 17.467 17.462 imax 21.165 21.195 21.134 excite_mean 0.529 0.529 0.529 fracstop 1.000 1.000 1.000 cjmean 2.959 2.959 2.959 libcent 0 76.7 76.2 76.3 libamp 0 31.7 32.1 32.0 libcent 1 239.9 239.4 240.2 libamp 1 98.7 99.1 98.4 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 253.9 253.7 254.0 kozaiamp 36.1 36.2 35.9