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: 13RZ156 # Created Fri Nov 22 02:09:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 11 observations of 11 # Arc: 5.08y # First observation: 2013/09/10 # Last observation: 2018/10/10 # Chi-squared of fit: 1.78 DOF: 16 RMS: 0.07 # Min/Max residuals: -0.17 0.11 # Exact a, adot, b, bdot, g, gdot: 1.382738E-05 2.272948E-02 6.320747E-06 1.007305E-02 2.514799E-02 1.669696E-03 # Covariance matrix: 5.2806E-13 -3.1427E-13 3.4037E-14 -1.0044E-13 3.5334E-13 -2.1001E-12 -3.1427E-13 6.4765E-13 -9.6847E-14 2.8376E-13 -7.8302E-14 5.9693E-12 3.4037E-14 -9.6847E-14 3.3066E-13 -1.2354E-13 3.9761E-15 -9.4712E-13 -1.0044E-13 2.8376E-13 -1.2354E-13 1.6584E-13 -1.3540E-14 2.7739E-12 3.5334E-13 -7.8302E-14 3.9761E-15 -1.3540E-14 8.6507E-13 -2.5075E-13 -2.1001E-12 5.9693E-12 -9.4712E-13 2.7739E-12 -2.5075E-13 5.8374E-11 # lat0 lon0 xBary yBary zBary JD0 -12.278355 11.661940 0.413750 -0.195329 -0.897946 2456545.794948 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 76.14293 +/- 0.114 Argument of Peri: 249.40122 +/- 0.118 Long of Asc Node: 36.39355 +/- 0.000 Inclination: 26.42884 +/- 0.000 Eccentricity: 0.05846443 +/- 0.0003 Semi-Major Axis: 41.10600451 +/- 0.0079 Time of Perihelion: 2436186.2365 +/- 31.0 Perihelion: 38.70276529 +/- 0.0151 Aphelion: 43.50924373 +/- 0.0156 Period (y) 263.5519 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.03622278 +/- 0.0014 Ecliptic Y 7.63759520 +/- 0.0003 Ecliptic Z -8.45616806 +/- 0.0003 Ecliptic XDOT -0.00010402 +/- 0.0000 Ecliptic YDOT 0.00250535 +/- 0.0000 Ecliptic ZDOT 0.00103305 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.66526068 +/- 0.0014 Geocenter to KBO 39.76460733 +/- 0.0015 # Hcoef: 7.70
The following table shows the complete astrometric record for 13RZ156. 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 (13RZ156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.29417 01 02 05.594 -06 41 34.24 23.9r 13RZ156 W84 C~52RN 2013 10 04.22289 01 00 15.267 -06 52 23.41 23.9r 13RZ156 W84 C~52RN 2013 10 13.18678 00 59 31.369 -06 55 50.57 23.0z 13RZ156 W84 C~52RN 2013 10 13.19707 00 59 31.327 -06 55 50.98 23.1i 13RZ156 W84 C~52RN 2014 11 17.16716 01 00 51.453 -06 01 17.29 23.9r 13RZ156 W84 C~52RN 2016 08 25.41368 01 14 37.527 -03 28 02.48 23.2i 13RZ156 W84 C~52RN 2016 08 26.37112 01 14 34.561 -03 28 26.31 24.2r 13RZ156 W84 C~52RN 2017 08 28.29776 01 18 17.432 -02 27 20.04 23.6r 13RZ156 W84 C~52RN 2017 08 28.34592 01 18 17.275 -02 27 21.19 24.0i 13RZ156 W84 C~52RN 2018 10 10.28295 01 19 05.228 -01 43 25.87 23.8r 13RZ156 W84 C~52RN 2018 10 10.28431 01 19 05.218 -01 43 25.82 23.6i 13RZ156 W84 C~52RN
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 0.09 0.00 0.04
2 0.0655 0.00 -0.04 0.00 -0.03
3 0.0901 0.00 -0.08 0.00 0.06
4 0.0901 0.00 0.06 0.00 -0.13
5 1.1851 0.00 -0.01 0.00 0.10
6 2.9572 0.00 0.03 0.00 0.11
7 2.9598 0.00 -0.07 0.00 -0.17
8 3.9644 0.00 0.01 0.00 0.03
9 3.9645 0.00 0.00 0.00 0.04
10 5.0814 0.00 0.05 0.00 -0.06
11 5.0814 0.00 0.00 0.00 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.
13RZ156 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.316 41.317 41.316 ecceobj 0.062 0.062 0.062 incobj 26.391 26.391 26.391 qmin 38.068 37.951 38.028 qmax 44.453 44.596 44.529 amean 41.190 41.192 41.188 amin 40.824 40.817 40.829 amax 41.561 41.557 41.574 emean 0.048 0.053 0.050 emin 0.028 0.037 0.033 emax 0.072 0.075 0.073 imean 25.737 25.730 25.736 imin 25.372 25.360 25.357 imax 26.111 26.113 26.114 excite_mean 0.437 0.437 0.437 fracstop 1.000 1.000 1.000 cjmean 2.836 2.836 2.836 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 181.0 183.3 181.0 kozaiamp 179.9 180.0 179.9