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: 13SH112 # Created Wed May 8 01:15:15 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 4.06y # First observation: 2013/09/29 # Last observation: 2017/10/22 Preliminary a, adot, b, bdot, g, gdot: 0.000055 0.021844 -0.000000 -0.000323 0.023417 0.000000 # Chi-squared of fit: 6.32 DOF: 18 RMS: 0.13 # Min/Max residuals: -0.23 0.19 # Exact a, adot, b, bdot, g, gdot: 1.487793E-05 2.198558E-02 3.958241E-07 -3.244731E-04 2.304367E-02 1.915439E-03 # Covariance matrix: 7.1377E-13 -3.8591E-13 -1.3229E-15 3.0187E-15 -2.8130E-14 -2.4274E-12 -3.8591E-13 8.4227E-13 3.6255E-15 -1.1693E-14 7.3278E-13 9.1981E-12 -1.3229E-15 3.6255E-15 6.3468E-13 -1.8380E-13 1.0944E-15 4.3417E-14 3.0187E-15 -1.1693E-14 -1.8380E-13 6.6269E-14 -1.1205E-14 -1.3854E-13 -2.8130E-14 7.3278E-13 1.0944E-15 -1.1205E-14 1.6926E-12 8.4890E-12 -2.4274E-12 9.1981E-12 4.3417E-14 -1.3854E-13 8.4890E-12 1.0904E-10 # lat0 lon0 xBary yBary zBary JD0 -1.598561 0.576278 -0.093044 -0.027724 -0.997216 2456564.726088 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 65.78791 +/- 0.075 Argument of Peri: 165.75467 +/- 0.123 Long of Asc Node: 119.14950 +/- 0.020 Inclination: 1.77716 +/- 0.000 Eccentricity: 0.09171361 +/- 0.0005 Semi-Major Axis: 45.77606901 +/- 0.0084 Time of Perihelion: 2435887.6771 +/- 23.0 Perihelion: 41.57778040 +/- 0.0224 Aphelion: 49.97435762 +/- 0.0230 Period (y) 309.7176 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.37298909 +/- 0.0024 Ecliptic Y 0.54246181 +/- 0.0000 Ecliptic Z -1.21060244 +/- 0.0001 Ecliptic XDOT 0.00019396 +/- 0.0000 Ecliptic YDOT 0.00261296 +/- 0.0000 Ecliptic ZDOT -0.00004475 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.39281455 +/- 0.0024 Geocenter to KBO 43.39587306 +/- 0.0025 # Hcoef: 7.23
The following table shows the complete astrometric record for 13SH112. 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 (13SH112) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.22531 00 04 39.516 -01 14 14.71 24.3r 13SH112 W84 C~52RU 2013 10 13.09891 00 03 42.568 -01 20 19.53 22.9z 13SH112 W84 C~52RU 2015 11 02.09517 00 11 45.747 -00 30 00.08 24.1r 13SH112 W84 C~52RU 2016 09 10.32957 00 19 47.629 +00 20 46.85 24.0r 13SH112 W84 C~52RU 2016 09 11.16744 00 19 44.319 +00 20 24.36 22.2z 13SH112 W84 C~52RU 2016 10 02.17749 00 18 17.007 +00 10 51.12 23.9r 13SH112 W84 C~52RU 2016 11 18.06482 00 15 33.071 -00 06 03.53 23.6i 13SH112 W84 C~52RU 2016 11 18.06619 00 15 33.055 -00 06 03.44 24.1r 13SH112 W84 C~52RU 2017 09 27.24362 00 23 13.444 +00 41 49.05 23.2i 13SH112 W84 C~52RU 2017 09 27.24501 00 23 13.438 +00 41 48.94 23.6r 13SH112 W84 C~52RU 2017 10 22.18159 00 21 31.570 +00 30 59.03 23.5r 13SH112 W84 C~52RU 2017 10 22.18295 00 21 31.561 +00 30 58.86 23.4i 13SH112 W84 C~52RU
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 0.04 0.00 -0.13
2 0.0380 -928.66 -0.07 5.02 0.17
3 2.0914 6923.69 0.19 -109.73 -0.02
4 2.9490 14790.02 -0.05 -194.52 0.10
5 2.9512 14735.24 0.19 -195.38 -0.15
6 3.0088 13299.01 -0.22 -199.45 0.17
7 3.1371 10630.33 -0.03 -150.38 -0.23
8 3.1371 10630.14 -0.16 -150.20 -0.06
9 3.9946 18145.74 -0.06 -266.62 0.12
10 3.9946 18145.61 -0.09 -266.68 0.05
11 4.0629 16473.54 0.18 -254.22 0.04
12 4.0629 16473.35 0.08 -254.32 -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.
13SH112 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.053 46.079 46.027 ecceobj 0.095 0.096 0.094 incobj 1.776 1.776 1.776 qmin 40.967 40.960 40.967 qmax 51.022 51.084 50.984 amean 45.840 45.866 45.814 amin 45.474 45.483 45.438 amax 46.240 46.263 46.213 emean 0.090 0.091 0.090 emin 0.077 0.077 0.076 emax 0.103 0.104 0.103 imean 0.892 0.890 0.894 imin 0.356 0.355 0.354 imax 1.293 1.292 1.297 excite_mean 0.092 0.092 0.091 fracstop 1.000 1.000 1.000 cjmean 3.114 3.114 3.114 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 159.7 159.8 159.7 kozaiamp 180.0 179.9 180.0