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: 13RZ155 # Created Sun Dec 22 02:09:34 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 10.21y # First observation: 2013/09/02 # Last observation: 2023/11/19 # Chi-squared of fit: 13.47 DOF: 26 RMS: 0.16 # Min/Max residuals: -0.47 0.30 # Exact a, adot, b, bdot, g, gdot: 1.059154E-05 1.770447E-02 -7.138831E-06 -9.705962E-03 2.273336E-02 -1.157620E-04 # Covariance matrix: 5.4996E-13 -1.8608E-13 -1.5915E-13 1.0921E-13 3.2236E-13 -1.0581E-12 -1.8608E-13 9.3960E-14 8.6064E-14 -5.8915E-14 -1.0351E-13 5.6925E-13 -1.5915E-13 8.6064E-14 3.2061E-13 -9.3226E-14 -1.2356E-13 5.7644E-13 1.0921E-13 -5.8915E-14 -9.3226E-14 4.8738E-14 8.5376E-14 -3.9488E-13 3.2236E-13 -1.0351E-13 -1.2356E-13 8.5376E-14 5.4197E-13 -8.3371E-13 -1.0581E-12 5.6925E-13 5.7644E-13 -3.9488E-13 -8.3371E-13 3.8186E-12 # lat0 lon0 xBary yBary zBary JD0 -2.739798 11.802085 0.536385 -0.040818 -0.854879 2456537.855838 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 191.52161 +/- 0.049 Argument of Peri: 356.18654 +/- 0.039 Long of Asc Node: 186.23834 +/- 0.000 Inclination: 28.88439 +/- 0.000 Eccentricity: 0.10540898 +/- 0.0001 Semi-Major Axis: 40.63406964 +/- 0.0051 Time of Perihelion: 2500815.2376 +/- 16.1 Perihelion: 36.35087371 +/- 0.0066 Aphelion: 44.91726557 +/- 0.0074 Period (y) 259.0262 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 43.95619201 +/- 0.0014 Ecliptic Y 8.63963330 +/- 0.0003 Ecliptic Z -2.10297802 +/- 0.0001 Ecliptic XDOT -0.00051062 +/- 0.0000 Ecliptic YDOT 0.00207176 +/- 0.0000 Ecliptic ZDOT -0.00116678 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.84655679 +/- 0.0014 Geocenter to KBO 43.98824060 +/- 0.0014 # Hcoef: 6.91
The following table shows the complete astrometric record for 13RZ155. 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 (13RZ155) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.35506 00 47 41.536 +02 08 37.99 24.3g 13RZ155 W84 C~52RL 2013 10 13.14590 00 44 59.025 +01 46 50.88 23.5i 13RZ155 W84 C~52RL 2013 10 29.04765 00 43 55.308 +01 38 51.40 23.9g 13RZ155 W84 C~52RL 2014 10 29.21054 00 48 32.098 +01 31 50.75 23.5r 13RZ155 W84 C~52RL 2014 11 14.13269 00 47 36.312 +01 25 06.65 23.1r 13RZ155 W84 C~52RL 2016 08 30.35681 01 01 38.742 +01 48 34.80 23.3g 13RZ155 W84 C~52RL 2017 08 22.33695 01 06 37.708 +01 45 12.94 23.8r 13RZ155 W84 C~52RL 2017 08 22.33832 01 06 37.711 +01 45 12.73 23.1i 13RZ155 W84 C~52RL 2017 08 22.33969 01 06 37.701 +01 45 12.66 23.5g 13RZ155 W84 C~52RL 2017 09 24.29256 01 04 46.025 +01 28 23.30 22.7z 13RZ155 W84 C~52RL 2018 09 14.34565 01 10 02.798 +01 26 38.38 23.0i 13RZ155 W84 C~52RL 2018 09 14.34702 01 10 02.773 +01 26 38.22 23.6r 13RZ155 W84 C~52RL 2018 09 14.34839 01 10 02.774 +01 26 37.67 23.7g 13RZ155 W84 C~52RL 2023 11 19.02883 01 28 54.43 +00 18 29.5 23.6r 13RZ155 W84 C~7X4c 2023 11 19.10857 01 28 54.15 +00 18 28.0 23.4r 13RZ155 W84 C~7X4c 2023 11 19.18829 01 28 53.86 +00 18 26.4 23.5r 13RZ155 W84 C~7X4c
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 0.30 0.00 0.21
2 0.1117 0.00 0.06 0.00 -0.00
3 0.1552 0.00 -0.20 0.00 0.13
4 1.1550 0.00 -0.07 0.00 0.01
5 1.1986 0.00 0.04 0.00 0.05
6 2.9925 0.00 -0.29 0.00 -0.35
7 3.9698 0.00 0.02 0.00 0.11
8 3.9698 0.00 0.12 0.00 -0.07
9 3.9698 0.00 0.02 0.00 -0.10
10 4.0601 0.00 -0.18 0.00 0.09
11 5.0321 0.00 0.24 0.00 0.15
12 5.0321 0.00 -0.06 0.00 0.03
13 5.0322 0.00 0.04 0.00 -0.47
14 10.2113 0.00 -0.03 0.00 0.07
15 10.2115 0.00 0.05 0.00 0.11
16 10.2117 0.00 -0.04 0.00 0.04
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.
13RZ155 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.801 40.801 40.801 ecceobj 0.100 0.100 0.100 incobj 28.791 28.791 28.791 qmin 35.167 35.127 35.166 qmax 46.345 46.346 46.345 amean 40.619 40.620 40.621 amin 40.278 40.282 40.282 amax 40.968 40.980 40.965 emean 0.115 0.115 0.115 emin 0.099 0.098 0.098 emax 0.132 0.132 0.132 imean 28.753 28.752 28.752 imin 28.311 28.309 28.309 imax 29.196 29.191 29.180 excite_mean 0.495 0.495 0.495 fracstop 1.000 1.000 1.000 cjmean 2.764 2.764 2.764 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 168.1 167.9 168.1 kozaiamp 180.0 180.0 180.0