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: 13TH159 # Created Sun Dec 22 02:09:42 2024 # Orbit generated from Bernstein formalism # Fitting 17 observations of 17 # Arc: 1.19y # First observation: 2013/10/03 # Last observation: 2014/12/10 Preliminary a, adot, b, bdot, g, gdot: -0.000014 0.021495 -0.000000 0.011915 0.024948 0.000000 # Chi-squared of fit: 12.16 DOF: 28 RMS: 0.15 # Min/Max residuals: -0.24 0.35 # Exact a, adot, b, bdot, g, gdot: 1.291649E-05 2.162973E-02 8.088342E-06 1.197990E-02 2.512391E-02 2.479167E-03 # Covariance matrix: 2.3311E-13 4.9768E-14 -1.4763E-14 1.8648E-13 2.8853E-13 1.2573E-11 4.9768E-14 1.5490E-12 -1.7567E-13 2.9824E-12 1.4313E-12 1.9700E-10 -1.4763E-14 -1.7567E-13 1.8093E-13 -6.4292E-13 -1.8787E-13 -3.2871E-11 1.8648E-13 2.9824E-12 -6.4292E-13 9.1462E-12 3.1087E-12 5.8174E-10 2.8853E-13 1.4313E-12 -1.8787E-13 3.1087E-12 1.7427E-12 2.0567E-10 1.2573E-11 1.9700E-10 -3.2871E-11 5.8174E-10 2.0567E-10 3.8333E-08 # lat0 lon0 xBary yBary zBary JD0 -18.644105 33.305871 0.398432 -0.293343 -0.869780 2456568.729979 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 79.45868 +/- 0.834 Argument of Peri: 235.40081 +/- 0.110 Long of Asc Node: 62.48332 +/- 0.001 Inclination: 33.56121 +/- 0.001 Eccentricity: 0.09304513 +/- 0.0079 Semi-Major Axis: 41.02241500 +/- 0.0652 Time of Perihelion: 2435378.3961 +/- 216.6 Perihelion: 37.20547905 +/- 0.3298 Aphelion: 44.83935096 +/- 0.3322 Period (y) 262.7484 +/- 0.63 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.50479835 +/- 0.0017 Ecliptic Y 20.88303740 +/- 0.0011 Ecliptic Z -12.72420886 +/- 0.0007 Ecliptic XDOT -0.00073771 +/- 0.0000 Ecliptic YDOT 0.00233831 +/- 0.0000 Ecliptic ZDOT 0.00115076 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.67638944 +/- 0.0015 Geocenter to KBO 39.80272225 +/- 0.0021 # Hcoef: 8.57
The following table shows the complete astrometric record for 13TH159. 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 (13TH159) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.229201 02 29 25.87 -04 57 12.8 24.4i 13TH159 W84 C~1VHI 2013 10 03.274792 02 29 25.64 -04 57 13.7 25.3r 13TH159 W84 C~1VHI 2013 10 03.279769 02 29 25.64 -04 57 14.3 24.8r 13TH159 W84 C~1VHI 2013 10 03.284792 02 29 25.63 -04 57 14.3 24.5r 13TH159 W84 C~1VHI 2013 10 11.135949 02 28 50.14 -05 00 40.5 25.6i 13TH159 W84 C~1VHI 2013 10 11.192720 02 28 49.87 -05 00 42.0 24.6r 13TH159 W84 C~1VHI 2013 10 11.202743 02 28 49.81 -05 00 42.2 24.3r 13TH159 W84 C~1VHI 2013 12 01.130856 02 24 41.84 -05 11 45.4 24.1i 13TH159 W84 C~1VHI 2013 12 01.168310 02 24 41.67 -05 11 45.2 24.5r 13TH159 W84 C~1VHI 2013 12 20.096412 02 23 31.75 -05 08 52.3 24.3i 13TH159 W84 C~1VHI 2013 12 20.121875 02 23 31.69 -05 08 51.9 24.2r 13TH159 W84 C~1VHI 2014 11 26.100428 02 28 51.25 -04 08 31.5 24.4r 13TH159 W84 C~1VHI 2014 11 26.115833 02 28 51.17 -04 08 31.4 24.2i 13TH159 W84 C~1VHI 2014 11 26.120336 02 28 51.17 -04 08 31.4 24.3i 13TH159 W84 C~1VHI 2014 11 26.129329 02 28 51.12 -04 08 31.5 23.8i 13TH159 W84 C~1VHI 2014 12 10.061852 02 27 52.29 -04 07 55.8 24.9r 13TH159 W84 C~1VHI 2014 12 10.071759 02 27 52.28 -04 07 55.6 25.0r 13TH159 W84 C~1VHI
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 0.14 0.00 -0.11
2 0.0001 -3.54 -0.14 0.30 0.35
3 0.0001 -3.74 0.01 -0.27 -0.19
4 0.0002 -3.88 0.23 -0.22 -0.13
5 0.0216 -572.63 -0.02 -17.69 0.12
6 0.0218 -576.93 -0.05 -17.76 0.05
7 0.0218 -577.84 -0.20 -17.65 0.16
8 0.1613 -4292.85 0.10 589.70 -0.24
9 0.1614 -4295.18 0.04 590.74 -0.11
10 0.2132 -5223.72 -0.19 1100.56 0.08
11 0.2133 -5224.44 0.08 1101.24 -0.02
12 1.1468 486.55 -0.05 2926.85 0.03
13 1.1468 485.45 -0.13 2927.34 0.19
14 1.1469 485.45 0.17 2927.34 0.10
15 1.1469 484.71 0.03 2927.50 0.06
16 1.1850 -333.29 -0.23 3254.62 -0.16
17 1.1851 -333.36 0.22 3254.86 -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.
13TH159 quality flag:2 Type: SCATEXTD CENTAURS SCATEXTD axisobj 41.245 41.475 41.055 ecceobj 0.097 0.118 0.075 incobj 33.548 33.549 33.548 qmin 36.436 28.658 37.213 qmax 45.782 54.223 44.618 amean 40.986 41.188 40.806 amin 40.672 40.767 40.496 amax 41.336 41.703 41.140 emean 0.093 0.230 0.073 emin 0.080 0.080 0.060 emax 0.108 0.304 0.085 imean 32.365 30.259 32.359 imin 32.021 28.451 32.040 imax 32.688 32.762 32.678 excite_mean 0.543 0.557 0.540 fracstop 1.000 1.000 1.000 cjmean 2.697 2.693 2.699 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 181.9 201.4 181.1 kozaiamp 179.9 179.9 179.9