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: 16FA59 # Created Wed Nov 27 02:10:36 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 13.08d # First observation: 2016/03/28 # Last observation: 2016/04/10 Preliminary a, adot, b, bdot, g, gdot: 0.000002 0.028191 0.000001 -0.010561 0.027006 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 33.29 DOF: 15 RMS: 0.32 # Min/Max residuals: -0.63 0.81 # Exact a, adot, b, bdot, g, gdot: 1.478787E-05 2.021586E-02 -5.297507E-06 -1.023919E-02 2.572072E-02 1.419880E-02 # Covariance matrix: 6.4685E-12 8.7035E-09 2.4884E-13 -3.7032E-10 1.4474E-09 -1.5458E-08 8.7035E-09 1.2259E-05 3.4895E-10 -5.2003E-07 2.0337E-06 -2.4341E-05 2.4884E-13 3.4895E-10 2.4931E-13 -2.6441E-11 5.7930E-11 -6.5176E-10 -3.7032E-10 -5.2003E-07 -2.6441E-11 2.3536E-08 -8.6307E-08 9.9957E-07 1.4474E-09 2.0337E-06 5.7930E-11 -8.6307E-08 3.3750E-07 -3.9574E-06 -1.5458E-08 -2.4341E-05 -6.5176E-10 9.9957E-07 -3.9574E-06 1.5285E-04 # lat0 lon0 xBary yBary zBary JD0 -7.866733 175.487087 -0.206420 -0.132919 -0.963364 2457475.537279 # Heliocentric elements and errors Epoch: 2457470.5000 = 2016/03/23 Mean Anomaly: 49.45841 +/- 44.897 Argument of Peri: 82.96933 +/- 17.678 Long of Asc Node: 341.06728 +/- 2.283 Inclination: 27.93358 +/- 3.620 Eccentricity: 0.53853484 +/- 0.4118 Semi-Major Axis: 44.02583279 +/- 23.0749 Time of Perihelion: 2442811.7339 +/- 6652.5 Perihelion: 20.31638796 +/- 21.0272 Aphelion: 67.73527762 +/- 39.8637 Period (y) 292.1256 +/- 229.66 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -39.38337078 +/- 0.8672 Ecliptic Y 2.89852521 +/- 0.0685 Ecliptic Z -5.32159624 +/- 0.1202 Ecliptic XDOT -0.00151308 +/- 0.0013 Ecliptic YDOT -0.00204613 +/- 0.0004 Ecliptic ZDOT -0.00128651 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 39.84684089 +/- 0.8573 Geocenter to KBO 38.87915964 +/- 0.8781 # Hcoef: 8.12
The following table shows the complete astrometric record for 16FA59. 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 (16FA59) followed by the observatory code and reference code for the source of the astrometry.
2016 03 28.03649 11 30 55.52 -05 25 35.9 24.4V 16FA59 W84 C~1qoJ 2016 03 28.04343 11 30 55.51 -05 25 35.8 16FA59 W84 C~1qoJ 2016 03 28.05037 11 30 55.51 -05 25 35.8 16FA59 W84 C~1qoJ 2016 03 30.06080 11 30 45.68 -05 24 38.7 16FA59 W84 C~1qoJ 2016 03 30.06774 11 30 45.68 -05 24 38.6 16FA59 W84 C~1qoJ 2016 03 30.07468 11 30 45.69 -05 24 38.6 16FA59 W84 C~1qoJ 2016 04 01.06533 11 30 36.02 -05 23 42.3 16FA59 W84 C~1qoJ 2016 04 01.07227 11 30 36.02 -05 23 42.2 16FA59 W84 C~1qoJ 2016 04 01.07921 11 30 36.01 -05 23 42.3 16FA59 W84 C~1qoJ 2016 04 10.117974 11 29 54.41 -05 19 28.1 24.3g 16FA59 W84 C~67BO
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 -0.49 0.00 -0.21
2 0.0000 -0.18 -0.12 0.03 -0.15
3 0.0000 -0.18 0.43 0.03 -0.12
4 0.0055 -157.56 -0.37 -6.07 0.14
5 0.0056 -157.60 0.13 -5.98 0.26
6 0.0056 -157.47 0.81 -5.92 0.34
7 0.0110 -312.35 -0.63 -11.81 -0.10
8 0.0110 -312.39 -0.13 -11.72 0.01
9 0.0111 -312.48 0.31 -11.87 -0.12
10 0.0358 -983.60 0.05 -26.37 -0.05
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.
16FA59 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