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: 16SA59 # Created Tue Apr 1 01:10:59 2025 # Orbit generated from Bernstein formalism # Fitting 19 observations of 19 # Arc: 4.28y # First observation: 2014/08/19 # Last observation: 2018/12/01 Preliminary a, adot, b, bdot, g, gdot: 0.000290 0.031610 -0.000114 -0.009271 0.025153 0.000000 # Chi-squared of fit: 5.60 DOF: 32 RMS: 0.10 # Min/Max residuals: -0.27 0.16 # Exact a, adot, b, bdot, g, gdot: 2.050801E-05 3.178557E-02 -5.625352E-06 -9.359628E-03 2.509334E-02 6.168079E-03 # Covariance matrix: 5.1483E-13 -2.5931E-13 -3.5512E-14 7.8544E-14 1.4770E-13 -1.8111E-12 -2.5931E-13 4.0396E-13 9.3291E-14 -1.4145E-13 1.2126E-13 3.5096E-12 -3.5512E-14 9.3291E-14 2.9514E-13 -1.3399E-13 4.0290E-14 9.1411E-13 7.8544E-14 -1.4145E-13 -1.3399E-13 1.0668E-13 -3.1698E-14 -1.4163E-12 1.4770E-13 1.2126E-13 4.0290E-14 -3.1698E-14 2.8307E-13 9.5030E-13 -1.8111E-12 3.5096E-12 9.1411E-13 -1.4163E-12 9.5030E-13 3.4972E-11 # lat0 lon0 xBary yBary zBary JD0 -13.920078 34.576768 0.943796 -0.089564 -0.361921 2456888.891088 # Heliocentric elements and errors Epoch: 2456880.5000 = 2014/08/11 Mean Anomaly: 0.94821 +/- 0.002 Argument of Peri: 200.46890 +/- 0.019 Long of Asc Node: 174.76520 +/- 0.001 Inclination: 21.54569 +/- 0.000 Eccentricity: 0.84119645 +/- 0.0002 Semi-Major Axis: 246.31106952 +/- 0.2812 Time of Perihelion: 2453161.4824 +/- 3.2 Perihelion: 39.11507209 +/- 0.0642 Aphelion: 453.50706696 +/- 0.5199 Period (y) 3865.7530 +/- 6.62 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.68837794 +/- 0.0007 Ecliptic Y 21.38842011 +/- 0.0005 Ecliptic Z -9.58716053 +/- 0.0002 Ecliptic XDOT -0.00163746 +/- 0.0000 Ecliptic YDOT 0.00308245 +/- 0.0000 Ecliptic ZDOT -0.00115299 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.22322978 +/- 0.0006 Geocenter to KBO 39.85120929 +/- 0.0008 # Hcoef: 7.72
The following table shows the complete astrometric record for 16SA59. 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 (16SA59) followed by the observatory code and reference code for the source of the astrometry.
2014 08 19.39031 02 27 47.388 -00 05 30.86 23.3i 16SA59 W84 C~52Zn 2014 10 01.36230 02 26 13.671 -00 29 18.80 23.6r 16SA59 W84 C~52Zn 2014 10 01.36365 02 26 13.686 -00 29 18.86 23.6i 16SA59 W84 C~52Zn 2015 01 16.07238 02 20 28.067 -00 52 45.19 22.9z 16SA59 W84 C~52Zn 2015 12 14.16156 02 28 53.770 -00 51 17.14 23.5i 16SA59 W84 C~52Zn 2015 12 14.16292 02 28 53.781 -00 51 17.07 24.0r 16SA59 W84 C~52Zn 2015 12 14.16430 02 28 53.767 -00 51 17.23 24.0g 16SA59 W84 C~52Zn 2016 09 27.47838 02 41 35.55 -00 16 25.4 24.5g 16SA59 568 C~59q2 2016 09 27.53877 02 41 35.35 -00 16 27.5 24.5g 16SA59 568 C~59q2 2016 09 28.48764 02 41 32.23 -00 17 00.2 24.6g 16SA59 568 C~2eAJ 2016 09 28.62065 02 41 31.78 -00 17 04.8 24.7g 16SA59 568 C~2eAJ 2016 09 29.49961 02 41 28.84 -00 17 35.1 24.6g 16SA59 568 C~2eAJ 2016 10 27.22094 02 39 37.991 -00 32 24.37 23.5r 16SA59 W84 C~52Zn 2016 12 05.18660 02 36 52.875 -00 44 55.82 23.6i 16SA59 W84 C~52Zn 2017 10 29.28689 02 46 57.852 -00 27 45.26 23.7r 16SA59 W84 C~52Zn 2017 11 01.19519 02 46 44.985 -00 29 03.94 22.9z 16SA59 W84 C~52Zn 2017 11 10.22175 02 46 04.716 -00 32 45.56 23.8r 16SA59 W84 C~52Zn 2018 11 29.20945 02 52 05.744 -00 32 45.21 24.3r 16SA59 W84 C~52Zn 2018 12 01.07616 02 51 58.227 -00 33 07.33 24.4g 16SA59 W84 C~52Zn
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 -0.10 0.00 -0.06 2 0.1177 -1795.92 -0.12 -888.83 0.10 3 0.1177 -1795.73 0.16 -888.96 -0.01 4 0.4098 -7157.21 0.05 -520.74 -0.03 5 1.3190 41.28 -0.10 -2921.11 -0.06 6 1.3190 41.46 0.14 -2921.10 -0.06 7 1.3190 41.21 -0.05 -2921.18 -0.16 8 2.1084 11536.45 0.08 -4693.59 0.13 9 2.1086 11532.92 0.10 -4694.59 0.10 10 2.1111 11477.81 0.02 -4710.14 0.12 11 2.1115 11469.90 0.05 -4712.28 0.08 12 2.1139 11418.14 -0.04 -4726.45 0.04 13 2.1898 9550.67 -0.27 -5021.08 -0.06 14 2.2965 6959.62 -0.01 -4917.82 -0.01 15 3.1948 15904.16 0.01 -6931.44 0.12 16 3.2028 15694.71 0.10 -6942.27 -0.02 17 3.2275 15047.50 0.10 -6952.80 -0.15 18 4.2788 20207.44 -0.09 -8746.16 -0.06 19 4.2839 20092.45 -0.04 -8729.72 -0.01
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.
16SA59 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 262.009 263.051 260.971 ecceobj 0.851 0.851 0.850 incobj 21.487 21.487 21.487 qmin 36.291 36.439 36.835 qmax 494.173 492.131 482.840 amean 246.329 246.716 242.608 amin 233.767 235.872 230.056 amax 266.500 265.565 260.970 emean 0.842 0.842 0.839 emin 0.831 0.831 0.827 emax 0.855 0.854 0.850 imean 20.405 20.548 20.923 imin 19.585 19.656 20.219 imax 21.484 21.522 21.540 excite_mean 0.912 0.912 0.912 fracstop 1.000 1.000 1.000 cjmean 3.012 3.012 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 220.0 216.6 210.2 kozaiamp 19.3 17.7 13.1