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: 16FS59 # Created Wed Nov 27 02:10:36 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 3.11d # First observation: 2016/03/29 # Last observation: 2016/04/01 Preliminary a, adot, b, bdot, g, gdot: 0.000003 0.059979 -0.000001 0.010471 0.035670 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 62.48 DOF: 19 RMS: 0.40 # Min/Max residuals: -0.83 0.83 # Exact a, adot, b, bdot, g, gdot: 1.940915E-05 3.313917E-02 4.653912E-06 1.133661E-02 3.138423E-02 -9.086911E-03 # Covariance matrix: 1.0160E-10 1.9906E-07 -1.5344E-12 -6.3840E-09 3.1873E-08 2.8589E-07 1.9906E-07 3.9133E-04 -3.0153E-09 -1.2547E-05 6.2643E-05 5.6024E-04 -1.5344E-12 -3.0153E-09 3.1839E-13 5.0773E-11 -4.8272E-10 -4.4162E-09 -6.3840E-09 -1.2547E-05 5.0773E-11 4.1451E-07 -2.0085E-06 -1.7882E-05 3.1873E-08 6.2643E-05 -4.8272E-10 -2.0085E-06 1.0028E-05 8.9830E-05 2.8589E-07 5.6024E-04 -4.4162E-09 -1.7882E-05 8.9830E-05 1.5257E-03 # lat0 lon0 xBary yBary zBary JD0 -19.548718 -176.423604 -0.084949 -0.331353 -0.933743 2457476.551159 # Heliocentric elements and errors Epoch: 2457470.5000 = 2016/03/23 Mean Anomaly: 308.03529 +/- 84.871 Argument of Peri: 34.32758 +/- 209.973 Long of Asc Node: 227.04259 +/- 19.137 Inclination: 26.61479 +/- 8.200 Eccentricity: 0.26670653 +/- 1.0232 Semi-Major Axis: 36.81372336 +/- 19.8008 Time of Perihelion: 2469247.0769 +/- 16723.4 Perihelion: 26.99526301 +/- 40.3692 Aphelion: 46.63218372 +/- 45.2542 Period (y) 223.3690 +/- 180.21 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.95532909 +/- 3.0238 Ecliptic Y -2.02225599 +/- 0.1887 Ecliptic Z -10.66155146 +/- 1.0758 Ecliptic XDOT 0.00059569 +/- 0.0032 Ecliptic YDOT -0.00286634 +/- 0.0016 Ecliptic ZDOT 0.00119722 +/- 0.0013 # Distances at JD0 (AU) Heliocenter to KBO 32.80229562 +/- 2.8749 Geocenter to KBO 31.86313595 +/- 3.2150 # Hcoef: 9.49
The following table shows the complete astrometric record for 16FS59. 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 (16FS59) followed by the observatory code and reference code for the source of the astrometry.
2016 03 29.05037 11 40 45.26 -19 17 30.6 24.7V 16FS59 W84 C~1qoK 2016 03 29.05731 11 40 45.25 -19 17 30.7 16FS59 W84 C~1qoK 2016 03 29.06425 11 40 45.24 -19 17 30.7 16FS59 W84 C~1qoK 2016 03 30.07619 11 40 39.45 -19 16 42.0 16FS59 W84 C~1qoK 2016 03 30.08313 11 40 39.45 -19 16 42.1 16FS59 W84 C~1qoK 2016 03 30.09007 11 40 39.46 -19 16 42.1 16FS59 W84 C~1qoK 2016 03 31.13339 11 40 33.54 -19 15 51.9 16FS59 W84 C~1qoK 2016 03 31.14033 11 40 33.53 -19 15 51.9 16FS59 W84 C~1qoK 2016 03 31.14727 11 40 33.53 -19 15 51.8 16FS59 W84 C~1qoK 2016 04 01.14784 11 40 27.86 -19 15 02.3 16FS59 W84 C~1qoK 2016 04 01.15478 11 40 27.86 -19 15 02.3 16FS59 W84 C~1qoK 2016 04 01.16172 11 40 27.87 -19 15 02.3 16FS59 W84 C~1qoK
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 -0.56 0.00 0.22 2 0.0000 -0.09 0.00 -0.15 0.01 3 0.0000 -0.21 0.52 -0.21 -0.11 4 0.0028 -95.07 -0.83 9.48 0.15 5 0.0028 -95.03 -0.14 9.39 -0.01 6 0.0028 -94.90 0.64 9.45 -0.01 7 0.0057 -192.07 -0.29 19.72 -0.15 8 0.0057 -192.20 0.23 19.66 -0.27 9 0.0057 -192.24 0.83 19.75 -0.25 10 0.0085 -285.91 -0.83 30.85 0.19 11 0.0085 -285.91 -0.19 30.85 0.11 12 0.0085 -285.78 0.59 30.91 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.
16FS59 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0