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: 16FQ59 # Created Sat Apr 20 01:17:52 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 4.01d # First observation: 2016/03/28 # Last observation: 2016/04/01 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.080382 -0.000000 -0.005859 0.033677 0.000000 # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 46.62 DOF: 25 RMS: 0.31 # Min/Max residuals: -0.66 0.63 # Exact a, adot, b, bdot, g, gdot: 1.657809E-05 2.373378E-02 -4.402111E-06 -5.866242E-03 2.466842E-02 7.130287E-03 # Covariance matrix: 7.1932E-11 1.1230E-07 9.9627E-13 2.3973E-11 1.7833E-08 -1.6133E-07 1.1230E-07 1.7603E-04 1.5612E-09 3.7615E-08 2.7944E-05 -2.5378E-04 9.9627E-13 1.5612E-09 2.6062E-13 -3.0718E-11 2.4784E-10 -2.2514E-09 2.3973E-11 3.7615E-08 -3.0718E-11 6.4872E-09 5.9685E-09 -6.7896E-08 1.7833E-08 2.7944E-05 2.4784E-10 5.9685E-09 4.4363E-06 -4.0227E-05 -1.6133E-07 -2.5378E-04 -2.2514E-09 -6.7896E-08 -4.0227E-05 6.4279E-04 # lat0 lon0 xBary yBary zBary JD0 -11.159286 -171.130395 0.019223 -0.192226 -0.975291 2457475.827409 # Heliocentric elements and errors Epoch: 2457470.5000 = 2016/03/23 Mean Anomaly: 49.60939 +/- 70.879 Argument of Peri: 136.03044 +/- 188.021 Long of Asc Node: 331.52611 +/- 15.764 Inclination: 17.61080 +/- 5.997 Eccentricity: 0.30345726 +/- 0.9332 Semi-Major Axis: 47.51000618 +/- 26.4145 Time of Perihelion: 2440987.4559 +/- 19121.9 Perihelion: 33.09275007 +/- 48.0037 Aphelion: 61.92726230 +/- 56.1362 Period (y) 327.4808 +/- 273.11 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -40.28437438 +/- 3.3552 Ecliptic Y -6.26911809 +/- 0.5233 Ecliptic Z -7.84572094 +/- 0.6699 Ecliptic XDOT -0.00023641 +/- 0.0029 Ecliptic YDOT -0.00270988 +/- 0.0009 Ecliptic ZDOT -0.00079191 +/- 0.0006 # Distances at JD0 (AU) Heliocenter to KBO 41.51732166 +/- 3.2590 Geocenter to KBO 40.53765116 +/- 3.4612 # Hcoef: 7.60
The following table shows the complete astrometric record for 16FQ59. 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 (16FQ59) followed by the observatory code and reference code for the source of the astrometry.
2016 03 28.32662 12 14 35.54 -13 45 11.3 23.8V 16FQ59 W84 C~1qoK 2016 03 28.33356 12 14 35.53 -13 45 11.3 16FQ59 W84 C~1qoK 2016 03 28.34050 12 14 35.53 -13 45 11.3 16FQ59 W84 C~1qoK 2016 03 29.26227 12 14 31.06 -13 44 46.5 16FQ59 W84 C~1qoK 2016 03 29.26921 12 14 31.06 -13 44 46.5 16FQ59 W84 C~1qoK 2016 03 29.27615 12 14 31.07 -13 44 46.5 16FQ59 W84 C~1qoK 2016 03 30.30064 12 14 26.12 -13 44 18.7 16FQ59 W84 C~1qoK 2016 03 30.30758 12 14 26.12 -13 44 18.7 16FQ59 W84 C~1qoK 2016 03 30.31452 12 14 26.11 -13 44 18.7 16FQ59 W84 C~1qoK 2016 03 31.31045 12 14 21.35 -13 43 51.2 16FQ59 W84 C~1qoK 2016 03 31.31739 12 14 21.34 -13 43 51.3 16FQ59 W84 C~1qoK 2016 03 31.32433 12 14 21.34 -13 43 51.2 16FQ59 W84 C~1qoK 2016 04 01.32285 12 14 16.56 -13 43 23.4 16FQ59 W84 C~1qoK 2016 04 01.32979 12 14 16.56 -13 43 23.5 16FQ59 W84 C~1qoK 2016 04 01.33673 12 14 16.56 -13 43 23.5 16FQ59 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 -0.28 0.00 0.13
2 0.0000 -0.13 0.11 -0.06 0.10
3 0.0000 -0.13 0.63 -0.06 0.13
4 0.0026 -69.73 -0.66 -3.73 -0.09
5 0.0026 -69.73 -0.13 -3.73 -0.06
6 0.0026 -69.59 0.52 -3.68 0.02
7 0.0054 -146.80 -0.65 -7.45 -0.18
8 0.0054 -146.80 -0.13 -7.45 -0.15
9 0.0054 -146.93 0.26 -7.50 -0.19
10 0.0082 -221.49 -0.43 -10.44 0.05
11 0.0082 -221.58 -0.00 -10.59 -0.08
12 0.0082 -221.62 0.48 -10.49 0.04
13 0.0109 -296.56 -0.46 -13.28 0.14
14 0.0110 -296.52 0.10 -13.37 0.06
15 0.0110 -296.52 0.62 -13.37 0.08
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.
16FQ59 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