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: 16SZ57 # Created Fri Nov 22 02:10:46 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 1.85y # First observation: 2014/11/23 # Last observation: 2016/09/29 Preliminary a, adot, b, bdot, g, gdot: -0.000002 0.025405 -0.000000 0.000631 0.025606 0.000000 # Chi-squared of fit: 0.79 DOF: 18 RMS: 0.05 # Min/Max residuals: -0.06 0.10 # Exact a, adot, b, bdot, g, gdot: 1.538827E-05 2.542202E-02 -9.746179E-08 6.370100E-04 2.568481E-02 2.869426E-03 # Covariance matrix: 3.7136E-13 1.2539E-11 -5.2717E-14 2.3319E-13 7.7206E-12 2.3596E-10 1.2539E-11 1.1322E-08 -1.6895E-11 9.5724E-11 2.4936E-09 1.7880E-07 -5.2717E-14 -1.6895E-11 2.4438E-13 -2.8697E-13 -4.8652E-12 -2.7519E-10 2.3319E-13 9.5724E-11 -2.8697E-13 1.0672E-12 2.5351E-11 1.5430E-09 7.7206E-12 2.4936E-09 -4.8652E-12 2.5351E-11 7.1604E-10 4.0601E-08 2.3596E-10 1.7880E-07 -2.7519E-10 1.5430E-09 4.0601E-08 2.8326E-06 # lat0 lon0 xBary yBary zBary JD0 -16.994297 26.023640 -0.561204 -0.237501 -0.777667 2456984.897241 # Heliocentric elements and errors Epoch: 2456980.5000 = 2014/11/19 Mean Anomaly: 84.56831 +/- 9.045 Argument of Peri: 176.52061 +/- 6.225 Long of Asc Node: 111.27225 +/- 0.087 Inclination: 16.72595 +/- 0.003 Eccentricity: 0.12444076 +/- 0.0639 Semi-Major Axis: 39.56685578 +/- 0.7529 Time of Perihelion: 2435625.4347 +/- 2201.1 Perihelion: 34.64312630 +/- 2.6120 Aphelion: 44.49058526 +/- 2.6655 Period (y) 248.8889 +/- 7.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 33.93997409 +/- 0.0349 Ecliptic Y 17.19852172 +/- 0.0170 Ecliptic Z -11.37938759 +/- 0.0118 Ecliptic XDOT -0.00091247 +/- 0.0002 Ecliptic YDOT 0.00256714 +/- 0.0001 Ecliptic ZDOT -0.00002436 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 39.71399567 +/- 0.0309 Geocenter to KBO 38.93351891 +/- 0.0406 # Hcoef: 7.85
The following table shows the complete astrometric record for 16SZ57. 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 (16SZ57) followed by the observatory code and reference code for the source of the astrometry.
2014 11 23.396463 02 01 00.589 -05 48 41.74 23.6i 16SZ57 568 C~2Tu9 2014 11 23.433781 02 01 00.428 -05 48 42.11 23.4i 16SZ57 568 C~2Tu9 2014 11 23.456477 02 01 00.333 -05 48 42.32 23.5i 16SZ57 568 C~2Tu9 2014 11 23.471514 02 01 00.266 -05 48 42.33 23.4i 16SZ57 568 C~2Tu9 2014 11 28.379848 02 00 40.354 -05 49 07.80 23.7r 16SZ57 568 C~2Tu9 2014 11 28.403031 02 00 40.263 -05 49 07.91 23.7r 16SZ57 568 C~2Tu9 2014 11 28.417541 02 00 40.208 -05 49 07.90 23.7r 16SZ57 568 C~2Tu9 2016 09 27.50910 02 16 06.33 -04 20 12.5 24.5g 16SZ57 568 C~2eAJ 2016 09 27.55640 02 16 06.13 -04 20 14.1 24.6g 16SZ57 568 C~2eAJ 2016 09 28.44585 02 16 02.52 -04 20 43.5 24.2g 16SZ57 568 C~2eAJ 2016 09 28.56555 02 16 02.03 -04 20 47.5 24.7g 16SZ57 568 C~2eAJ 2016 09 29.57736 02 15 57.85 -04 21 20.9 24.3g 16SZ57 568 C~2eAJ
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 0.05 0.00 0.10
2 0.0001 -2.38 -0.01 0.52 0.00
3 0.0002 -3.77 -0.00 0.83 -0.06
4 0.0002 -4.71 -0.01 1.18 0.05
5 0.0136 -291.17 -0.04 84.15 -0.02
6 0.0137 -292.48 -0.03 84.54 -0.06
7 0.0137 -293.24 0.04 84.84 -0.02
8 1.8456 14560.74 0.02 48.22 -0.04
9 1.8457 14557.35 -0.06 47.82 -0.04
10 1.8482 14496.05 -0.04 40.12 0.07
11 1.8485 14487.73 0.09 39.06 -0.02
12 1.8513 14416.99 -0.01 30.74 0.02
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.
16SZ57 quality flag:1 Type: 3:2E REMOVED CLASSICAL axisobj 39.908 43.758 38.640 ecceobj 0.127 0.295 0.035 incobj 16.729 16.722 16.735 qmin 33.195 30.424 33.529 qmax 46.410 60.838 43.652 amean 39.457 44.815 38.422 amin 38.947 43.301 38.114 amax 39.993 45.731 38.809 emean 0.132 0.313 0.052 emin 0.104 0.289 0.007 emax 0.161 0.330 0.126 imean 14.869 14.807 12.008 imin 13.886 14.530 8.704 imax 15.911 15.147 16.214 excite_mean 0.289 0.404 0.216 fracstop 1.000 0.004 1.000 cjmean 2.956 2.913 2.987 libcent 0 179.8 -180.0 -180.0 libamp 0 128.5 -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 180.6 193.8 180.1 kozaiamp 180.0 6.1 180.0