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: 13SE99 # Created Fri Mar 29 01:15:37 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 18 # Arc: 1.23y # First observation: 2013/09/29 # Last observation: 2014/12/21 Preliminary a, adot, b, bdot, g, gdot: -0.000036 0.021953 0.000001 0.002641 0.021821 0.000000 # Chi-squared of fit: 7.31 DOF: 26 RMS: 0.12 # Min/Max residuals: -0.31 0.20 # Exact a, adot, b, bdot, g, gdot: 1.664273E-05 2.203771E-02 1.440887E-06 2.683969E-03 2.191579E-02 9.373243E-03 # Covariance matrix: 6.4296E-13 1.0112E-12 1.7563E-14 2.0272E-13 1.5288E-12 6.8620E-11 1.0112E-12 3.8431E-12 2.6720E-14 8.0300E-13 4.0815E-12 2.5078E-10 1.7563E-14 2.6720E-14 1.8336E-13 -1.7010E-13 5.2188E-14 -5.6431E-14 2.0272E-13 8.0300E-13 -1.7010E-13 5.6178E-13 7.6726E-13 7.1928E-11 1.5288E-12 4.0815E-12 5.2188E-14 7.6726E-13 5.1281E-12 2.5270E-10 6.8620E-11 2.5078E-10 -5.6431E-14 7.1928E-11 2.5270E-10 2.1260E-08 # lat0 lon0 xBary yBary zBary JD0 -17.404803 32.643707 0.450020 -0.267656 -0.854206 2456564.775477 # Heliocentric elements and errors Epoch: 2456560.5000 = 2013/09/25 Mean Anomaly: 19.35687 +/- 0.327 Argument of Peri: 224.12779 +/- 0.336 Long of Asc Node: 100.64574 +/- 0.007 Inclination: 18.25912 +/- 0.001 Eccentricity: 0.54511535 +/- 0.0073 Semi-Major Axis: 80.62942662 +/- 0.9070 Time of Perihelion: 2442341.4222 +/- 15.0 Perihelion: 36.67708830 +/- 0.7170 Aphelion: 124.58176494 +/- 1.5192 Period (y) 724.0167 +/- 12.22 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.65824387 +/- 0.0038 Ecliptic Y 23.59311925 +/- 0.0024 Ecliptic Z -13.64860966 +/- 0.0014 Ecliptic XDOT -0.00046591 +/- 0.0000 Ecliptic YDOT 0.00297370 +/- 0.0000 Ecliptic ZDOT -0.00003017 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.48723645 +/- 0.0033 Geocenter to KBO 45.62920237 +/- 0.0047 # Hcoef: 7.72
The following table shows the complete astrometric record for 13SE99. 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 (13SE99) followed by the observatory code and reference code for the source of the astrometry.
2013 09 29.274699 02 25 23.17 -03 59 47.4 24.0i 13SE99 W84 C~1I2D 2013 09 29.283715 02 25 23.12 -03 59 47.1 24.7i 13SE99 W84 C~1I2D 2013 09 29.321794 02 25 22.99 -03 59 48.4 24.3r 13SE99 W84 C~1I2D 2013 10 11.127616 02 24 39.59 -04 04 59.7 23.8i 13SE99 W84 C~1I2D 2013 10 11.136609 02 24 39.56 -04 04 59.9 24.4i 13SE99 W84 C~1I2D 2013 10 11.141123 02 24 39.53 -04 04 59.9 24.3i 13SE99 W84 C~1I2D 2013 10 27.110775 02 23 34.48 -04 11 02.5 23.3r 13SE99 W84 C~1I2D 2013 10 27.115741 02 23 34.48 -04 11 02.6 23.6r 13SE99 W84 C~1I2D 2013 11 06.258322 02 22 51.85 -04 14 02.4 24.5i 13SE99 W84 C~1I2D 2013 11 06.262824 02 22 51.82 -04 14 02.2 24.4i 13SE99 W84 C~1I2D 2013 11 06.267338 02 22 51.80 -04 14 02.4 23.9i 13SE99 W84 C~1I2D 2014 11 12.098183 02 27 01.63 -03 41 27.4 24.5r 13SE99 W84 C~1I2D 2014 11 12.103137 02 27 01.62 -03 41 27.2 25.0r 13SE99 W84 C~1I2D 2014 11 12.108067 02 27 01.59 -03 41 27.4 24.1r 13SE99 W84 C~1I2D 2014 11 19.114757 02 26 33.36 -03 42 45.5 24.8i 13SE99 W84 C~1I2D 2014 11 19.158981 02 26 33.18 -03 42 45.9 23.7z 13SE99 W84 C~1I2D 2014 12 21.112130 02 24 48.62 -03 42 55.0 24.6r 13SE99 W84 C~1I2D 2014 12 21.131701 02 24 48.57 -03 42 54.6 24.3i 13SE99 W84 C~1I2D
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 0.10 2 0.0000 -0.60 ( -0.23) 0.53 ( 0.71) 3 0.0001 -2.87 ( -0.27) -0.04 ( 0.45) 4 0.0325 -719.07 0.06 -75.31 0.03 5 0.0325 -719.56 0.14 -75.35 0.03 6 0.0325 -719.99 0.01 -75.20 0.20 7 0.0762 -1758.48 -0.15 -90.39 -0.20 8 0.0762 -1758.51 0.15 -90.48 -0.31 9 0.1040 -2419.69 0.04 -46.17 -0.12 10 0.1040 -2420.04 -0.02 -45.83 0.18 11 0.1040 -2420.39 -0.08 -45.92 0.07 12 1.1193 1757.55 -0.12 540.96 -0.17 13 1.1193 1757.47 0.12 541.20 0.03 14 1.1193 1756.98 -0.06 541.16 -0.05 15 1.1385 1332.73 0.05 609.65 0.10 16 1.1386 1330.06 0.02 610.18 0.12 17 1.2261 -147.23 -0.02 1127.24 -0.12 18 1.2262 -147.80 0.02 1127.87 0.10
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.
13SE99 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 81.792 84.590 79.269 ecceobj 0.552 0.572 0.531 incobj 18.269 18.267 18.271 qmin 35.466 34.887 35.788 qmax 129.443 134.982 122.292 amean 80.660 83.060 77.885 amin 79.163 81.557 76.493 amax 82.805 85.413 79.547 emean 0.546 0.565 0.524 emin 0.532 0.550 0.510 emax 0.563 0.580 0.540 imean 16.568 16.569 16.539 imin 15.708 15.732 15.515 imax 17.655 17.592 17.254 excite_mean 0.616 0.633 0.597 fracstop 1.000 1.000 1.000 cjmean 3.001 2.989 3.012 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 186.6 182.6 195.1 kozaiamp 180.0 179.9 180.0