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: 16FF180 # Created Wed Nov 27 02:10:37 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 4.01d # First observation: 2016/03/28 # Last observation: 2016/04/01 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.116320 -0.000000 0.004867 0.070080 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 2.43 DOF: 15 RMS: 0.09 # Min/Max residuals: -0.15 0.18 # Exact a, adot, b, bdot, g, gdot: 2.495069E-05 1.108453E-01 6.101415E-07 5.000403E-03 6.921993E-02 -2.191541E-02 # Covariance matrix: 6.2779E-11 2.6857E-07 -3.3513E-14 -6.3802E-09 4.3084E-08 -1.1813E-07 2.6857E-07 1.1577E-03 -1.3390E-10 -2.7504E-05 1.8564E-04 -5.9285E-04 -3.3513E-14 -1.3390E-10 3.9314E-13 -4.3797E-11 -2.1881E-11 -7.2820E-10 -6.3802E-09 -2.7504E-05 -4.3797E-11 6.6241E-07 -4.4101E-06 1.4567E-05 4.3084E-08 1.8564E-04 -2.1881E-11 -4.4101E-06 2.9770E-05 -9.1812E-05 -1.1813E-07 -5.9285E-04 -7.2820E-10 1.4567E-05 -9.1812E-05 6.6351E-03 # lat0 lon0 xBary yBary zBary JD0 -9.991339 -179.225554 -0.118444 -0.171094 -0.972191 2457475.682711 # Heliocentric elements and errors Epoch: 2457470.5000 = 2016/03/23 Mean Anomaly: 294.57045 +/- 109.176 Argument of Peri: 13.25935 +/- 119.506 Long of Asc Node: 254.62372 +/- 6.830 Inclination: 9.75173 +/- 0.385 Eccentricity: 0.19078521 +/- 0.7479 Semi-Major Axis: 16.17282641 +/- 7.8757 Time of Perihelion: 2461788.1633 +/- 6477.5 Perihelion: 13.08729031 +/- 13.6724 Aphelion: 19.25836251 +/- 15.3058 Period (y) 65.0410 +/- 47.51 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -15.21551494 +/- 1.1214 Ecliptic Y -0.32644846 +/- 0.0151 Ecliptic Z -2.50649748 +/- 0.1976 Ecliptic XDOT 0.00087860 +/- 0.0032 Ecliptic YDOT -0.00437976 +/- 0.0010 Ecliptic ZDOT 0.00034518 +/- 0.0005 # Distances at JD0 (AU) Heliocenter to KBO 15.42403946 +/- 1.1067 Geocenter to KBO 14.44670583 +/- 1.1387 # Hcoef: 11.02
The following table shows the complete astrometric record for 16FF180. 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 (16FF180) followed by the observatory code and reference code for the source of the astrometry.
2016 03 28.181922 11 46 47.704 -09 28 00.76 23.0V 16FF180 W84 C~86tM 2016 03 28.188286 11 46 47.618 -09 28 00.32 22.9V 16FF180 W84 C~86tM 2016 03 28.191483 11 46 47.586 -09 28 00.20 22.8V 16FF180 W84 C~86tM 2016 03 30.178428 11 46 25.741 -09 25 20.04 23.1V 16FF180 W84 C~86tM 2016 03 30.181611 11 46 25.697 -09 25 19.93 22.8V 16FF180 W84 C~86tM 2016 03 30.184803 11 46 25.659 -09 25 19.60 22.6V 16FF180 W84 C~86tM 2016 03 31.165351 11 46 14.974 -09 24 00.36 23.0V 16FF180 W84 C~86tM 2016 03 31.168549 11 46 14.927 -09 23 59.89 23.2V 16FF180 W84 C~86tM 2016 04 01.185130 11 46 03.908 -09 22 37.14 22.8V 16FF180 W84 C~86tM 2016 04 01.188282 11 46 03.875 -09 22 36.76 22.8V 16FF180 W84 C~86tM
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 0.08 0.00 0.11
2 0.0000 -1.34 -0.09 -0.11 -0.04
3 0.0000 -1.82 0.02 -0.19 -0.14
4 0.0055 -362.20 0.04 15.98 0.18
5 0.0055 -362.84 -0.01 15.82 -0.00
6 0.0055 -363.49 -0.07 15.90 0.05
7 0.0082 -540.13 0.14 24.59 -0.15
8 0.0082 -540.96 -0.10 24.74 -0.03
9 0.0110 -723.56 0.01 34.63 -0.05
10 0.0110 -724.16 -0.02 34.78 0.07
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.