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: 13RR155 # Created Sat Apr 20 01:14:53 2024 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 4.12y # First observation: 2013/09/01 # Last observation: 2017/10/16 Preliminary a, adot, b, bdot, g, gdot: 0.000245 0.020371 0.000063 0.005070 0.022197 0.000000 # Chi-squared of fit: 1.75 DOF: 16 RMS: 0.07 # Min/Max residuals: -0.10 0.22 # Exact a, adot, b, bdot, g, gdot: 1.516773E-05 2.100981E-02 3.735142E-06 5.325382E-03 2.189125E-02 6.543082E-03 # Covariance matrix: 4.1815E-13 -2.2902E-13 -2.4987E-14 -1.5514E-13 1.2953E-12 -3.1936E-12 -2.2902E-13 7.0152E-13 -8.5731E-14 2.0451E-13 3.7433E-13 8.4247E-12 -2.4987E-14 -8.5731E-14 2.6255E-13 -7.2540E-14 -4.7910E-13 -7.5220E-13 -1.5514E-13 2.0451E-13 -7.2540E-14 2.0510E-13 -8.9710E-13 3.5808E-12 1.2953E-12 3.7433E-13 -4.7910E-13 -8.9710E-13 1.3360E-11 -6.5836E-12 -3.1936E-12 8.4247E-12 -7.5220E-13 3.5808E-12 -6.5836E-12 1.2091E-10 # lat0 lon0 xBary yBary zBary JD0 -31.748556 -60.311321 -0.632267 -0.414649 -0.670232 2456536.516268 # Heliocentric elements and errors Epoch: 2456530.5000 = 2013/08/26 Mean Anomaly: 32.72320 +/- 0.064 Argument of Peri: 223.06262 +/- 0.068 Long of Asc Node: 3.90327 +/- 0.002 Inclination: 34.16957 +/- 0.000 Eccentricity: 0.38622657 +/- 0.0007 Semi-Major Axis: 61.83987379 +/- 0.0753 Time of Perihelion: 2440384.8843 +/- 12.0 Perihelion: 37.95567115 +/- 0.0645 Aphelion: 85.72407644 +/- 0.1136 Period (y) 486.3076 +/- 0.89 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 20.17945118 +/- 0.0032 Ecliptic Y -34.11455815 +/- 0.0056 Ecliptic Z -24.03650424 +/- 0.0040 Ecliptic XDOT 0.00279473 +/- 0.0000 Ecliptic YDOT 0.00039137 +/- 0.0000 Ecliptic ZDOT 0.00013591 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.35479332 +/- 0.0048 Geocenter to KBO 45.68035100 +/- 0.0076 # Hcoef: 6.76
The following table shows the complete astrometric record for 13RR155. 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 (13RR155) followed by the observatory code and reference code for the source of the astrometry.
2013 09 01.01549 20 47 49.647 -50 57 09.36 23.8g 13RR155 W84 C~52RK 2013 09 04.10242 20 47 32.328 -50 56 26.82 23.4g 13RR155 W84 C~52RK 2013 09 08.03890 20 47 11.252 -50 55 22.08 24.2g 13RR155 W84 C~52RK 2013 09 13.03901 20 46 46.370 -50 53 42.63 22.5z 13RR155 W84 C~52RK 2013 09 29.00474 20 45 43.277 -50 46 27.06 23.3r 13RR155 W84 C~52RK 2014 09 12.04803 20 53 22.133 -50 14 08.24 24.0r 13RR155 W84 C~52RK 2014 09 12.04939 20 53 22.124 -50 14 08.05 23.3i 13RR155 W84 C~52RK 2015 09 12.03517 20 59 37.362 -49 33 23.21 23.9r 13RR155 W84 C~52RK 2015 09 12.03653 20 59 37.354 -49 33 23.22 24.4g 13RR155 W84 C~52RK 2017 10 10.04692 21 09 33.800 -47 58 22.22 23.3r 13RR155 W84 C~52RK 2017 10 16.09762 21 09 21.597 -47 54 51.06 23.5r 13RR155 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 0.00 0.00 0.02
2 0.0085 -142.21 0.22 91.52 0.01
3 0.0192 -311.41 -0.05 215.06 -0.10
4 0.0329 -504.32 -0.05 382.57 -0.00
5 0.0766 -939.05 -0.06 980.92 -0.03
6 1.0295 3828.30 -0.06 1425.87 -0.07
7 1.0295 3828.28 -0.03 1426.08 0.09
8 2.0288 8073.54 0.01 2492.26 0.09
9 2.0288 8073.46 -0.01 2492.28 0.06
10 4.1069 15674.50 0.06 5655.36 -0.01
11 4.1234 15641.39 -0.04 5898.13 -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.
13RR155 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 61.860 62.097 61.623 ecceobj 0.385 0.387 0.383 incobj 34.160 34.161 34.159 qmin 36.715 36.363 36.792 qmax 88.750 90.838 88.269 amean 62.160 62.566 61.952 amin 61.455 61.614 61.267 amax 63.057 63.882 62.848 emean 0.389 0.394 0.388 emin 0.368 0.364 0.368 emax 0.408 0.422 0.405 imean 34.479 34.474 34.466 imin 33.954 33.733 34.001 imax 35.239 35.506 35.146 excite_mean 0.687 0.690 0.686 fracstop 1.000 1.000 1.000 cjmean 2.666 2.665 2.666 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 176.5 189.5 177.7 kozaiamp 180.0 180.0 180.0