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 Apr 19 01:09:43 2026 # Orbit generated from Bernstein formalism # Fitting 20 observations of 20 # Arc: 1.19y # First observation: 2013/10/03 # Last observation: 2014/12/10 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.021524 -0.000001 0.011918 0.024984 0.000000 # Chi-squared of fit: 13.56 DOF: 34 RMS: 0.15 # Min/Max residuals: -0.22 0.33 # Exact a, adot, b, bdot, g, gdot: 1.290626E-05 2.162897E-02 8.222034E-06 1.197726E-02 2.512313E-02 2.312061E-03 # Covariance matrix: 2.3202E-13 5.1007E-14 -1.5927E-14 1.9310E-13 2.8936E-13 1.3427E-11 5.1007E-14 8.9127E-13 -5.1240E-14 6.7854E-13 7.6447E-13 4.6892E-11 -1.5927E-14 -5.1240E-14 1.5659E-13 -2.0508E-13 -6.2086E-14 -3.9826E-12 1.9310E-13 6.7854E-13 -2.0508E-13 1.0708E-12 7.7388E-13 5.4705E-11 2.8936E-13 7.6447E-13 -6.2086E-14 7.7388E-13 1.0665E-12 5.3705E-11 1.3427E-11 4.6892E-11 -3.9826E-12 5.4705E-11 5.3705E-11 3.7714E-09 # 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: 80.32745 +/- 0.255 Argument of Peri: 235.30156 +/- 0.047 Long of Asc Node: 62.48357 +/- 0.001 Inclination: 33.56103 +/- 0.001 Eccentricity: 0.08629332 +/- 0.0025 Semi-Major Axis: 40.96815980 +/- 0.0170 Time of Perihelion: 2435189.2664 +/- 66.4 Perihelion: 37.43288129 +/- 0.1026 Aphelion: 44.50343831 +/- 0.1031 Period (y) 262.2273 +/- 0.16 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.50577242 +/- 0.0013 Ecliptic Y 20.88367691 +/- 0.0008 Ecliptic Z -12.72459638 +/- 0.0005 Ecliptic XDOT -0.00075219 +/- 0.0000 Ecliptic YDOT 0.00232879 +/- 0.0000 Ecliptic ZDOT 0.00115634 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.67761737 +/- 0.0011 Geocenter to KBO 39.80395024 +/- 0.0016 # Hcoef: 8.63
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 09 22.46821 02 33 55.23 -03 48 42.1 25.0i 13TH159 T09 C~9DAT 2014 09 22.48460 02 33 55.17 -03 48 42.6 24.7i 13TH159 T09 C~9DAT 2014 09 22.52270 02 33 55.02 -03 48 43.8 24.9i 13TH159 T09 C~9DAT 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 0.15 0.00 -0.14
2 0.0001 -3.54 -0.14 0.30 0.33
3 0.0001 -3.74 0.01 -0.27 -0.22
4 0.0002 -3.88 0.23 -0.22 -0.15
5 0.0216 -572.63 -0.04 -17.69 0.10
6 0.0218 -576.93 -0.06 -17.76 0.03
7 0.0218 -577.84 -0.22 -17.65 0.14
8 0.1613 -4292.85 0.09 589.70 -0.19
9 0.1614 -4295.18 0.03 590.74 -0.06
10 0.2132 -5223.72 -0.16 1100.56 0.14
11 0.2133 -5224.44 0.11 1101.24 0.05
12 0.9699 5172.63 0.07 2527.43 -0.01
13 0.9699 5171.62 0.07 2527.26 -0.05
14 0.9700 5169.10 -0.09 2526.88 -0.13
15 1.1468 486.55 -0.11 2926.85 0.07
16 1.1468 485.45 -0.18 2927.34 0.23
17 1.1469 485.45 0.12 2927.34 0.14
18 1.1469 484.71 -0.03 2927.50 0.10
19 1.1850 -333.29 -0.15 3254.62 -0.17
20 1.1851 -333.36 0.30 3254.86 -0.20
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:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.189 41.246 41.135 ecceobj 0.090 0.096 0.083 incobj 33.548 33.547 33.549 qmin 36.716 36.481 36.930 qmax 45.370 45.730 45.049 amean 40.940 40.997 40.888 amin 40.630 40.680 40.562 amax 41.275 41.327 41.220 emean 0.087 0.093 0.080 emin 0.073 0.079 0.067 emax 0.100 0.107 0.093 imean 32.366 32.366 32.365 imin 32.024 32.023 32.034 imax 32.690 32.693 32.690 excite_mean 0.542 0.543 0.541 fracstop 1.000 1.000 1.000 cjmean 2.698 2.697 2.698 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 181.9 181.4 181.0 kozaiamp 180.0 180.0 180.0