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: 16FW58 # Created Fri Nov 1 01:10:21 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 4.04d # First observation: 2016/03/28 # Last observation: 2016/04/01 Preliminary a, adot, b, bdot, g, gdot: 0.000003 0.030191 0.000000 -0.008501 0.026708 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 33.75 DOF: 19 RMS: 0.30 # Min/Max residuals: -0.60 0.60 # Exact a, adot, b, bdot, g, gdot: 1.782625E-05 2.470045E-02 -5.052099E-06 -8.255538E-03 2.581259E-02 -1.679324E-03 # Covariance matrix: 5.6156E-11 8.7663E-08 -1.7458E-12 -4.0143E-09 1.4568E-08 4.5029E-07 8.7663E-08 1.3763E-04 -2.7397E-09 -6.2984E-06 2.2859E-05 6.8749E-04 -1.7458E-12 -2.7397E-09 3.0856E-13 9.4292E-11 -4.5505E-10 -1.3727E-08 -4.0143E-09 -6.2984E-06 9.4292E-11 2.9563E-07 -1.0462E-06 -3.1960E-05 1.4568E-08 2.2859E-05 -4.5505E-10 -1.0462E-06 3.7971E-06 1.1563E-04 4.5029E-07 6.8749E-04 -1.3727E-08 -3.1960E-05 1.1563E-04 9.5979E-03 # lat0 lon0 xBary yBary zBary JD0 -9.607800 173.410557 -0.241495 -0.160773 -0.950882 2457475.535699 # Heliocentric elements and errors Epoch: 2457470.5000 = 2016/03/23 Mean Anomaly: 302.13540 +/- 200.906 Argument of Peri: 272.43439 +/- 252.378 Long of Asc Node: 327.62395 +/- 8.350 Inclination: 20.53986 +/- 5.641 Eccentricity: 0.06831974 +/- 3.3439 Semi-Major Axis: 41.04369391 +/- 21.0304 Time of Perihelion: 2472908.0565 +/- 341523.8 Perihelion: 38.23959954 +/- 138.6386 Aphelion: 43.84778828 +/- 139.0739 Period (y) 262.9528 +/- 202.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.93457711 +/- 2.8645 Ecliptic Y 4.25137422 +/- 0.3311 Ecliptic Z -6.46616840 +/- 0.4881 Ecliptic XDOT 0.00001906 +/- 0.0103 Ecliptic YDOT -0.00264648 +/- 0.0010 Ecliptic ZDOT -0.00083362 +/- 0.0017 # Distances at JD0 (AU) Heliocenter to KBO 39.69618132 +/- 2.8108 Geocenter to KBO 38.74077892 +/- 2.9246 # Hcoef: 7.78
The following table shows the complete astrometric record for 16FW58. 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 (16FW58) followed by the observatory code and reference code for the source of the astrometry.
2016 03 28.03491 11 20 34.15 -06 12 25.9 23.8V 16FW58 W84 C~1qoJ 2016 03 28.04185 11 20 34.16 -06 12 25.9 16FW58 W84 C~1qoJ 2016 03 28.04879 11 20 34.16 -06 12 25.8 16FW58 W84 C~1qoJ 2016 03 29.03309 11 20 29.50 -06 11 57.2 16FW58 W84 C~1qoJ 2016 03 29.04003 11 20 29.50 -06 11 57.2 16FW58 W84 C~1qoJ 2016 03 29.04697 11 20 29.49 -06 11 57.1 16FW58 W84 C~1qoJ 2016 03 30.05924 11 20 24.78 -06 11 27.3 16FW58 W84 C~1qoJ 2016 03 30.06618 11 20 24.78 -06 11 27.3 16FW58 W84 C~1qoJ 2016 03 30.07312 11 20 24.77 -06 11 27.3 16FW58 W84 C~1qoJ 2016 04 01.06375 11 20 15.62 -06 10 29.1 16FW58 W84 C~1qoJ 2016 04 01.07069 11 20 15.62 -06 10 29.1 16FW58 W84 C~1qoJ 2016 04 01.07763 11 20 15.61 -06 10 29.1 16FW58 W84 C~1qoJ
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 -0.00 2 0.0000 0.14 0.11 0.06 0.07 3 0.0000 0.10 0.60 0.15 0.17 4 0.0027 -75.04 -0.60 -1.23 -0.18 5 0.0028 -75.04 -0.07 -1.23 -0.17 6 0.0028 -75.21 0.28 -1.20 -0.13 7 0.0055 -151.51 -0.38 -1.77 0.10 8 0.0056 -151.51 0.14 -1.77 0.10 9 0.0056 -151.65 0.53 -1.83 0.05 10 0.0110 -299.99 -0.49 -2.68 0.01 11 0.0110 -299.99 0.03 -2.68 0.02 12 0.0111 -300.12 0.41 -2.74 -0.04
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.
16FW58 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