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: 13TH229 # Created Sun Nov 24 02:09:42 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 3.92y # First observation: 2013/10/13 # Last observation: 2017/09/14 Preliminary a, adot, b, bdot, g, gdot: -0.000043 0.022138 0.000001 -0.000401 0.023312 0.000000 # Chi-squared of fit: 5.70 DOF: 18 RMS: 0.12 # Min/Max residuals: -0.23 0.25 # Exact a, adot, b, bdot, g, gdot: 1.481888E-05 2.208294E-02 -1.146715E-07 -3.991674E-04 2.345038E-02 -7.733818E-04 # Covariance matrix: 6.6584E-13 -3.9510E-13 -1.7097E-15 2.6538E-15 7.2541E-14 -2.1114E-12 -3.9510E-13 6.3288E-13 1.7571E-15 -8.4600E-15 3.1031E-13 6.1378E-12 -1.7097E-15 1.7571E-15 5.3448E-13 -1.6201E-13 -4.5424E-15 7.8670E-15 2.6538E-15 -8.4600E-15 -1.6201E-13 6.3811E-14 -9.1149E-15 -1.0029E-13 7.2541E-14 3.1031E-13 -4.5424E-15 -9.1149E-15 1.2780E-12 5.5797E-12 -2.1114E-12 6.1378E-12 7.8670E-15 -1.0029E-13 5.5797E-12 7.0684E-11 # lat0 lon0 xBary yBary zBary JD0 -4.105814 14.165255 -0.096111 -0.070959 -0.990217 2456578.708038 # Heliocentric elements and errors Epoch: 2456570.5000 = 2013/10/05 Mean Anomaly: 244.81485 +/- 0.351 Argument of Peri: 14.80143 +/- 0.336 Long of Asc Node: 118.70227 +/- 0.009 Inclination: 4.14234 +/- 0.000 Eccentricity: 0.03956003 +/- 0.0003 Semi-Major Axis: 42.85943233 +/- 0.0079 Time of Perihelion: 2489362.0558 +/- 99.6 Perihelion: 41.16391187 +/- 0.0158 Aphelion: 44.55495279 +/- 0.0161 Period (y) 280.5936 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.17891045 +/- 0.0020 Ecliptic Y 10.74802360 +/- 0.0005 Ecliptic Z -3.05324389 +/- 0.0002 Ecliptic XDOT -0.00072766 +/- 0.0000 Ecliptic YDOT 0.00247551 +/- 0.0000 Ecliptic ZDOT -0.00003988 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.63373461 +/- 0.0019 Geocenter to KBO 42.64324014 +/- 0.0021 # Hcoef: 7.06
The following table shows the complete astrometric record for 13TH229. 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 (13TH229) followed by the observatory code and reference code for the source of the astrometry.
2013 10 13.20726 00 58 30.892 +01 47 58.50 23.1i 13TH229 W84 C~52Rg 2013 11 22.13909 00 55 59.374 +01 33 50.78 23.2i 13TH229 W84 C~52Rg 2014 10 02.29548 01 04 02.005 +02 21 03.68 23.8r 13TH229 W84 C~52Rg 2015 10 17.16823 01 07 41.186 +02 42 23.30 23.4r 13TH229 W84 C~52Rg 2016 08 26.33375 01 15 41.522 +03 32 17.59 24.3r 13TH229 W84 C~52Rg 2016 08 26.33512 01 15 41.536 +03 32 17.90 23.5i 13TH229 W84 C~52Rg 2016 10 29.19449 01 11 29.545 +03 04 57.13 23.4r 13TH229 W84 C~52Rg 2016 11 06.13640 01 10 57.417 +03 01 58.46 22.4z 13TH229 W84 C~52Rg 2017 08 28.36829 01 20 18.924 +03 59 17.26 23.5i 13TH229 W84 C~52Rg 2017 08 28.37103 01 20 18.917 +03 59 17.16 23.1z 13TH229 W84 C~52Rg 2017 08 28.37650 01 20 18.905 +03 59 17.19 23.3r 13TH229 W84 C~52Rg 2017 09 14.32643 01 19 23.629 +03 52 36.15 22.5z 13TH229 W84 C~52Rg
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 -0.03
2 0.1093 -2423.05 0.02 94.96 -0.03
3 0.9694 5346.27 -0.05 -81.61 0.17
4 2.0095 8874.55 -0.11 -164.30 -0.23
5 2.8696 16697.94 -0.14 -158.76 -0.13
6 2.8696 16698.25 0.24 -158.55 0.08
7 3.0445 12563.18 -0.01 -228.28 0.25
8 3.0662 12048.40 0.10 -208.57 0.04
9 3.8745 21191.58 0.00 -248.84 0.02
10 3.8745 21191.44 -0.00 -248.90 -0.03
11 3.8745 21191.28 0.10 -248.80 0.09
12 3.9209 20264.39 -0.18 -304.08 -0.18
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.
13TH229 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.093 43.117 43.070 ecceobj 0.035 0.035 0.035 incobj 4.140 4.140 4.140 qmin 39.879 39.882 39.851 qmax 45.965 46.052 46.002 amean 42.849 42.872 42.827 amin 42.525 42.538 42.497 amax 43.199 43.214 43.170 emean 0.045 0.045 0.045 emin 0.025 0.025 0.025 emax 0.065 0.066 0.066 imean 2.975 2.976 2.973 imin 1.975 1.979 1.969 imax 3.994 3.979 4.014 excite_mean 0.069 0.069 0.068 fracstop 1.000 1.000 1.000 cjmean 3.082 3.082 3.082 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 179.7 179.4 180.0 kozaiamp 180.0 179.9 179.9