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: 16SC59 # Created Sun Dec 22 02:10:53 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 24 observations of 24 # Arc: 5.09y # First observation: 2013/10/03 # Last observation: 2018/11/07 # Chi-squared of fit: 12.25 DOF: 42 RMS: 0.13 # Min/Max residuals: -0.35 0.25 # Exact a, adot, b, bdot, g, gdot: 1.691222E-05 2.880197E-02 -1.657127E-06 -2.625581E-03 2.674156E-02 9.156928E-04 # Covariance matrix: 3.7330E-13 -1.8146E-13 -1.0217E-14 1.0569E-14 9.5212E-14 -8.9681E-13 -1.8146E-13 2.2963E-13 1.3279E-14 -1.9952E-14 8.2648E-14 1.6936E-12 -1.0217E-14 1.3279E-14 2.5829E-13 -7.7315E-14 -1.9035E-15 1.1259E-13 1.0569E-14 -1.9952E-14 -7.7315E-14 3.1479E-14 -8.1143E-15 -1.6884E-13 9.5212E-14 8.2648E-14 -1.9035E-15 -8.1143E-15 3.5251E-13 6.8950E-13 -8.9681E-13 1.6936E-12 1.1259E-13 -1.6884E-13 6.8950E-13 1.4332E-11 # lat0 lon0 xBary yBary zBary JD0 -13.137450 25.409935 0.267414 -0.219047 -0.939023 2456568.797688 # Heliocentric elements and errors Epoch: 2456568.5000 = 2013/10/03 Mean Anomaly: 7.79300 +/- 0.044 Argument of Peri: 237.36577 +/- 0.059 Long of Asc Node: 137.82212 +/- 0.001 Inclination: 13.85665 +/- 0.000 Eccentricity: 0.13978776 +/- 0.0001 Semi-Major Axis: 44.47587296 +/- 0.0047 Time of Perihelion: 2454223.2587 +/- 13.2 Perihelion: 38.25869041 +/- 0.0055 Aphelion: 50.69305552 +/- 0.0065 Period (y) 296.6162 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.87836826 +/- 0.0007 Ecliptic Y 15.80112491 +/- 0.0003 Ecliptic Z -8.49952069 +/- 0.0002 Ecliptic XDOT -0.00124420 +/- 0.0000 Ecliptic YDOT 0.00267514 +/- 0.0000 Ecliptic ZDOT -0.00028295 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.33614678 +/- 0.0007 Geocenter to KBO 37.39499319 +/- 0.0008 # Hcoef: 7.61
The following table shows the complete astrometric record for 16SC59. 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 (16SC59) followed by the observatory code and reference code for the source of the astrometry.
2013 10 03.29691 01 53 13.981 -02 25 31.08 24.1g 16SC59 W84 C~55Zx 2013 11 03.05919 01 50 45.78 -02 40 25.6 23.7r 16SC59 W84 C~55Zx 2013 11 03.12180 01 50 45.47 -02 40 27.0 16SC59 W84 C~55Zx 2013 11 03.20695 01 50 45.05 -02 40 29.0 16SC59 W84 C~55Zx 2014 10 29.26551 01 57 33.005 -02 11 15.31 23.0i 16SC59 W84 C~55Zx 2014 12 25.09950 01 54 01.530 -02 19 40.50 23.4r 16SC59 W84 C~55Zx 2015 12 04.06115 02 01 16.550 -01 53 40.77 23.6i 16SC59 W84 C~55Zx 2015 12 04.06252 02 01 16.552 -01 53 40.52 23.4r 16SC59 W84 C~55Zx 2016 09 10.40183 02 13 42.244 -00 51 23.76 22.7i 16SC59 W84 C~55Zx 2016 09 25.26803 02 12 50.232 -00 59 42.16 24.1g 16SC59 W84 C~55Zx 2016 09 28.49552 02 12 37.09 -01 01 30.5 24.1g 16SC59 568 C~2eAJ 2016 09 28.54358 02 12 36.88 -01 01 32.2 24.0g 16SC59 568 C~2eAJ 2016 09 28.62851 02 12 36.52 -01 01 35.0 24.3g 16SC59 568 C~2eAJ 2016 09 29.55477 02 12 32.65 -01 02 06.0 24.1g 16SC59 568 C~2eAJ 2016 09 29.62808 02 12 32.33 -01 02 08.4 24.0g 16SC59 568 C~2eAJ 2016 10 27.17338 02 10 23.083 -01 16 13.33 23.3r 16SC59 W84 C~55Zx 2016 10 27.17475 02 10 23.087 -01 16 13.32 23.9g 16SC59 W84 C~55Zx 2016 11 07.16172 02 09 29.066 -01 20 37.84 22.9i 16SC59 W84 C~55Zx 2016 11 27.11271 02 07 58.801 -01 25 54.36 23.7r 16SC59 W84 C~55Zx 2016 12 23.05112 02 06 35.953 -01 26 26.71 22.6i 16SC59 W84 C~55Zx 2017 11 17.14134 02 15 01.884 -00 56 34.98 21.9i 16SC59 W84 C~55Zx 2017 11 17.14270 02 15 01.865 -00 56 35.19 24.4g 16SC59 W84 C~55Zx 2018 11 07.23094 02 22 08.903 -00 26 10.89 23.5r 16SC59 W84 C~55Zx 2018 11 07.23231 02 22 08.896 -00 26 10.56 23.7g 16SC59 W84 C~55Zx
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 0.02 0.00 0.03 2 0.0842 0.00 0.09 0.00 -0.07 3 0.0844 0.00 0.03 0.00 -0.04 4 0.0846 0.00 -0.04 0.00 -0.10 5 1.0704 0.00 0.15 0.00 -0.09 6 1.2260 0.00 -0.10 0.00 0.03 7 2.1677 0.00 -0.15 0.00 -0.12 8 2.1677 0.00 -0.04 0.00 0.14 9 2.9380 0.00 0.13 0.00 -0.14 10 2.9787 0.00 0.22 0.00 -0.16 11 2.9875 0.00 -0.04 0.00 0.18 12 2.9877 0.00 -0.13 0.00 0.09 13 2.9879 0.00 -0.13 0.00 0.13 14 2.9904 0.00 -0.11 0.00 0.13 15 2.9906 0.00 -0.19 0.00 0.18 16 3.0661 0.00 -0.12 0.00 -0.04 17 3.0661 0.00 0.05 0.00 0.00 18 3.0961 0.00 0.18 0.00 -0.09 19 3.1508 0.00 0.02 0.00 0.11 20 3.2218 0.00 0.00 0.00 0.20 21 4.1228 0.00 0.25 0.00 0.11 22 4.1228 0.00 0.06 0.00 -0.08 23 5.0950 0.00 -0.01 0.00 -0.35 24 5.0950 0.00 -0.01 0.00 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.
16SC59 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 44.752 44.752 44.752 ecceobj 0.145 0.145 0.145 incobj 13.841 13.841 13.841 qmin 37.404 37.401 37.409 qmax 51.683 51.671 51.692 amean 44.387 44.387 44.387 amin 44.016 44.020 44.012 amax 44.809 44.808 44.807 emean 0.139 0.139 0.139 emin 0.125 0.125 0.125 emax 0.154 0.154 0.154 imean 12.703 12.703 12.703 imin 12.117 12.117 12.116 imax 13.359 13.358 13.359 excite_mean 0.260 0.260 0.260 fracstop 1.000 1.000 1.000 cjmean 3.025 3.025 3.025 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 183.7 183.7 183.7 kozaiamp 179.9 179.9 179.9