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: 16YZ40 # Created Wed Jul 17 01:11:26 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 33.94d # First observation: 2016/12/25 # Last observation: 2017/01/28 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.035148 0.000001 -0.007467 0.029737 0.000000 # Chi-squared of fit: 5.23 DOF: 18 RMS: 0.12 # Min/Max residuals: -0.24 0.21 # Exact a, adot, b, bdot, g, gdot: 1.854308E-05 3.219755E-02 -4.655057E-06 -7.922004E-03 2.892724E-02 1.153002E-03 # Covariance matrix: 3.9417E-13 6.3607E-11 2.5618E-14 1.1775E-11 1.6661E-11 1.5484E-09 6.3607E-11 1.4423E-07 4.9485E-11 2.6078E-08 3.3635E-08 2.3821E-06 2.5618E-14 4.9485E-11 3.7123E-13 4.4955E-12 1.1765E-11 9.3252E-10 1.1775E-11 2.6078E-08 4.4955E-12 4.8288E-09 6.0360E-09 4.0533E-07 1.6661E-11 3.3635E-08 1.1765E-11 6.0360E-09 7.9252E-09 5.9634E-07 1.5484E-09 2.3821E-06 9.3252E-10 4.0533E-07 5.9634E-07 6.0620E-05 # lat0 lon0 xBary yBary zBary JD0 -14.432584 148.331943 0.805408 -0.142100 -0.552932 2457747.975769 # Heliocentric elements and errors Epoch: 2457740.5000 = 2016/12/18 Mean Anomaly: 2.61783 +/- 61.983 Argument of Peri: 222.14181 +/- 89.170 Long of Asc Node: 282.79888 +/- 0.608 Inclination: 19.94816 +/- 0.200 Eccentricity: 0.17426913 +/- 0.0428 Semi-Major Axis: 42.53325545 +/- 1.4399 Time of Perihelion: 2457003.7341 +/- 17444.7 Perihelion: 35.12102194 +/- 2.1735 Aphelion: 49.94548896 +/- 2.4838 Period (y) 277.3966 +/- 14.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -28.56046882 +/- 0.0877 Ecliptic Y 18.55688200 +/- 0.0541 Ecliptic Z -8.61631970 +/- 0.0265 Ecliptic XDOT -0.00152820 +/- 0.0006 Ecliptic YDOT -0.00264297 +/- 0.0004 Ecliptic ZDOT -0.00075338 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 35.13259475 +/- 0.0771 Geocenter to KBO 34.56948701 +/- 0.1064 # Hcoef: 8.22
The following table shows the complete astrometric record for 16YZ40. 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 (16YZ40) followed by the observatory code and reference code for the source of the astrometry.
2016 12 25.47498 09 42 09.87 -01 30 52.7 23.8r 16YZ40 T09 C~86ue 2016 12 25.47707 09 42 09.88 -01 30 52.7 23.9r 16YZ40 T09 C~86ue 2016 12 25.48752 09 42 09.85 -01 30 53.1 23.8r 16YZ40 T09 C~86ue 2016 12 25.50008 09 42 09.79 -01 30 53.2 23.7r 16YZ40 T09 C~86ue 2017 01 21.37468 09 40 14.65 -01 30 45.8 23.6z 16YZ40 T09 C~86ue 2017 01 21.40688 09 40 14.47 -01 30 45.4 23.0z 16YZ40 T09 C~86ue 2017 01 21.56385 09 40 13.65 -01 30 43.7 23.3z 16YZ40 T09 C~86ue 2017 01 21.62985 09 40 13.32 -01 30 43.1 23.5z 16YZ40 T09 C~86ue 2017 01 21.63790 09 40 13.27 -01 30 43.2 23.6z 16YZ40 T09 C~86ue 2017 01 28.38299 09 39 37.85 -01 29 20.5 24.3g 16YZ40 T09 C~86ue 2017 01 28.41043 09 39 37.69 -01 29 20.4 23.9g 16YZ40 T09 C~86ue 2017 01 28.41954 09 39 37.65 -01 29 19.9 24.1g 16YZ40 T09 C~86ue
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 -0.19 0.00 0.07
2 0.0000 0.14 0.04 0.05 0.17
3 0.0000 -0.15 0.21 -0.48 -0.08
4 0.0001 -0.96 -0.05 -0.88 -0.16
5 0.0736 -1627.91 0.14 -578.82 -0.05
6 0.0737 -1630.59 -0.07 -579.36 -0.03
7 0.0742 -1642.73 -0.15 -581.92 0.09
8 0.0743 -1647.59 0.06 -583.04 0.10
9 0.0744 -1648.26 0.01 -583.38 -0.11
10 0.0928 -2176.03 0.02 -685.59 0.09
11 0.0929 -2178.32 -0.02 -686.31 -0.24
12 0.0929 -2179.05 -0.00 -686.04 0.15
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.