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: 13RG157 # Created Fri Nov 22 02:09:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 20 observations of 20 # Arc: 6.22y # First observation: 2013/09/10 # Last observation: 2019/11/28 # Chi-squared of fit: 10.21 DOF: 34 RMS: 0.13 # Min/Max residuals: -0.33 0.29 # Exact a, adot, b, bdot, g, gdot: 1.344819E-05 2.032471E-02 -4.698218E-06 -4.898028E-03 2.309568E-02 3.005456E-03 # Covariance matrix: 3.5741E-13 -1.7120E-13 -3.3762E-14 3.9403E-14 6.5777E-14 -1.2769E-12 -1.7120E-13 2.0189E-13 4.5837E-14 -5.3359E-14 8.6366E-14 1.7127E-12 -3.3762E-14 4.5837E-14 2.2391E-13 -5.9340E-14 1.5118E-14 4.2719E-13 3.9403E-14 -5.3359E-14 -5.9340E-14 3.0841E-14 -1.7396E-14 -4.9750E-13 6.5777E-14 8.6366E-14 1.5118E-14 -1.7396E-14 2.9122E-13 5.3374E-13 -1.2769E-12 1.7127E-12 4.2719E-13 -4.9750E-13 5.3374E-13 1.5995E-11 # lat0 lon0 xBary yBary zBary JD0 -4.906270 20.807568 0.553742 -0.071912 -0.838926 2456545.850228 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 109.65947 +/- 0.063 Argument of Peri: 75.67215 +/- 0.053 Long of Asc Node: 180.96741 +/- 0.001 Inclination: 14.41362 +/- 0.000 Eccentricity: 0.14262471 +/- 0.0001 Semi-Major Axis: 41.46182638 +/- 0.0041 Time of Perihelion: 2426842.5148 +/- 17.6 Perihelion: 35.54834541 +/- 0.0065 Aphelion: 47.37530734 +/- 0.0073 Period (y) 266.9813 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.30915385 +/- 0.0009 Ecliptic Y 15.10894665 +/- 0.0004 Ecliptic Z -3.70334165 +/- 0.0001 Ecliptic XDOT -0.00057666 +/- 0.0000 Ecliptic YDOT 0.00235952 +/- 0.0000 Ecliptic ZDOT -0.00060884 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.14107133 +/- 0.0009 Geocenter to KBO 43.29807421 +/- 0.0010 # Hcoef: 7.48
The following table shows the complete astrometric record for 13RG157. 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 (13RG157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.34945 01 24 15.827 +03 34 21.99 24.5g 13RG157 W84 C~52RO 2013 09 10.36825 01 24 15.763 +03 34 21.25 23.8r 13RG157 W84 C~52RO 2013 09 10.36963 01 24 15.751 +03 34 21.13 23.4i 13RG157 W84 C~52RO 2013 11 22.15611 01 19 26.438 +03 02 14.95 23.7i 13RG157 W84 C~52RO 2014 11 14.13577 01 24 39.338 +03 15 21.32 23.4i 13RG157 W84 C~52RO 2014 11 18.15976 01 24 24.861 +03 14 00.15 23.1z 13RG157 W84 C~52RO 2015 11 06.18503 01 29 54.222 +03 28 41.90 23.2r 13RG157 W84 C~52RO 2015 11 06.18639 01 29 54.221 +03 28 42.35 23.5i 13RG157 W84 C~52RO 2015 11 18.16315 01 29 08.410 +03 24 22.34 23.8r 13RG157 W84 C~52RO 2016 08 16.38008 01 39 22.696 +04 14 19.12 23.5z 13RG157 W84 C~52RO 2016 10 21.23668 01 35 40.228 +03 45 21.01 23.8i 13RG157 W84 C~52RO 2016 10 28.24390 01 35 10.149 +03 42 14.00 23.6r 13RG157 W84 C~52RO 2016 11 05.15343 01 34 37.087 +03 38 56.31 23.8r 13RG157 W84 C~52RO 2017 08 22.38370 01 43 50.281 +04 22 05.73 23.2i 13RG157 W84 C~52RO 2017 08 22.38506 01 43 50.284 +04 22 05.58 24.2r 13RG157 W84 C~52RO 2019 11 28.26426 01 47 09.65 +04 01 07.1 25.0g 13RG157 T09 C~7gpV 2019 11 28.32974 01 47 09.43 +04 01 06.3 25.1g 13RG157 T09 C~7gpV 2019 11 28.34265 01 47 09.39 +04 01 06.1 25.3g 13RG157 T09 C~7gpV 2019 11 28.40299 01 47 09.18 +04 01 04.9 24.8g 13RG157 T09 C~7gpV 2019 11 28.41562 01 47 09.14 +04 01 04.9 25.0g 13RG157 T09 C~7gpV
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 -0.01 0.00 0.29
2 0.0001 0.00 0.00 0.00 0.07
3 0.0001 0.00 -0.11 0.00 -0.01
4 0.1993 0.00 0.21 0.00 -0.09
5 1.1767 0.00 -0.06 0.00 0.03
6 1.1877 0.00 -0.11 0.00 -0.23
7 2.1542 0.00 -0.02 0.00 -0.33
8 2.1542 0.00 0.05 0.00 0.16
9 2.1870 0.00 -0.03 0.00 0.02
10 2.9323 0.00 -0.10 0.00 -0.02
11 3.1126 0.00 -0.06 0.00 -0.20
12 3.1318 0.00 0.24 0.00 0.26
13 3.1535 0.00 0.04 0.00 -0.04
14 3.9481 0.00 -0.00 0.00 0.08
15 3.9481 0.00 0.08 0.00 -0.04
16 6.2147 0.00 -0.03 0.00 -0.07
17 6.2149 0.00 -0.01 0.00 0.13
18 6.2149 0.00 0.05 0.00 0.13
19 6.2151 0.00 -0.05 0.00 -0.15
20 6.2151 0.00 -0.01 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.
13RG157 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.678 41.678 41.677 ecceobj 0.142 0.142 0.142 incobj 14.368 14.368 14.368 qmin 34.959 34.961 34.957 qmax 48.194 48.197 48.191 amean 41.462 41.445 41.461 amin 41.103 41.091 41.093 amax 41.847 41.856 41.859 emean 0.131 0.131 0.131 emin 0.112 0.109 0.113 emax 0.154 0.154 0.154 imean 15.099 15.072 15.107 imin 13.892 13.892 13.891 imax 16.267 16.273 16.266 excite_mean 0.292 0.291 0.292 fracstop 1.000 1.000 1.000 cjmean 2.972 2.972 2.972 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 179.0 179.9 179.0 kozaiamp 179.9 180.0 180.0