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: 16FB59 # Created Wed Nov 27 02:10:36 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 4.09d # First observation: 2016/03/28 # Last observation: 2016/04/01 Preliminary a, adot, b, bdot, g, gdot: 0.000002 0.022088 0.000000 0.002226 0.025451 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 14 iterations -- oscilliatory solution # Chi-squared of fit: 52.56 DOF: 25 RMS: 0.33 # Min/Max residuals: -0.63 0.67 # Exact a, adot, b, bdot, g, gdot: 1.757768E-05 2.521392E-02 1.452088E-06 2.133689E-03 2.595256E-02 -5.965999E-03 # Covariance matrix: -1.0208E-09 -1.6430E-06 5.1520E-12 4.8554E-08 -2.6379E-07 -5.6330E-06 -1.6430E-06 -2.6438E-03 8.2905E-09 7.8128E-05 -4.2446E-04 -9.0673E-03 5.1520E-12 8.2905E-09 2.2509E-13 -2.7588E-10 1.3310E-09 2.8343E-08 4.8554E-08 7.8128E-05 -2.7588E-10 -2.3026E-06 1.2544E-05 2.6799E-04 -2.6379E-07 -4.2446E-04 1.3310E-09 1.2544E-05 -6.8149E-05 -1.4555E-03 -5.6330E-06 -9.0673E-03 2.8343E-08 2.6799E-04 -1.4555E-03 -3.0093E-02 # lat0 lon0 xBary yBary zBary JD0 -18.301222 -176.793118 -0.074479 -0.311129 -0.941290 2457475.569779 # Heliocentric elements and errors Epoch: 2457470.5000 = 2016/03/23 Mean Anomaly: 285.07741 +/- 325.201 Argument of Peri: 26.04842 +/- 26.048 Long of Asc Node: 257.49386 +/- 257.494 Inclination: 18.50404 +/- 18.504 Eccentricity: 0.22640982 +/- 0.2264 Semi-Major Axis: 39.81373943 +/- 7.1872 Time of Perihelion: 2476567.1917 +/- 9075253.2 Perihelion: 30.79951802 +/- 10.5910 Aphelion: 48.82796084 +/- 12.6076 Period (y) 251.2220 +/- 68.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -37.51498475 +/- -37.5150 Ecliptic Y -2.17900497 +/- -2.1790 Ecliptic Z -12.09945995 +/- -12.0995 Ecliptic XDOT 0.00067490 +/- 0.0007 Ecliptic YDOT -0.00263327 +/- -0.0026 Ecliptic ZDOT 0.00041135 +/- 0.0004 # Distances at JD0 (AU) Heliocenter to KBO 39.47808347 +/- 35.8421 Geocenter to KBO 38.53185147 +/- 38.5319 # Hcoef: 8.59
The following table shows the complete astrometric record for 16FB59. 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 (16FB59) followed by the observatory code and reference code for the source of the astrometry.
2016 03 28.06899 11 41 37.31 -18 00 45.7 24.6V 16FB59 W84 C~1qoJ 2016 03 28.07593 11 41 37.30 -18 00 45.7 16FB59 W84 C~1qoJ 2016 03 28.08287 11 41 37.30 -18 00 45.7 16FB59 W84 C~1qoJ 2016 03 29.05116 11 41 32.55 -18 00 10.7 16FB59 W84 C~1qoJ 2016 03 29.05810 11 41 32.54 -18 00 10.9 16FB59 W84 C~1qoJ 2016 03 29.06504 11 41 32.54 -18 00 10.7 16FB59 W84 C~1qoJ 2016 03 30.07697 11 41 27.57 -17 59 34.3 16FB59 W84 C~1qoJ 2016 03 30.08391 11 41 27.57 -17 59 34.2 16FB59 W84 C~1qoJ 2016 03 30.09085 11 41 27.57 -17 59 34.2 16FB59 W84 C~1qoJ 2016 03 31.13419 11 41 22.48 -17 58 56.1 16FB59 W84 C~1qoJ 2016 03 31.14113 11 41 22.49 -17 58 56.0 16FB59 W84 C~1qoJ 2016 03 31.14807 11 41 22.49 -17 58 56.2 16FB59 W84 C~1qoJ 2016 04 01.14862 11 41 17.64 -17 58 18.9 16FB59 W84 C~1qoJ 2016 04 01.15556 11 41 17.64 -17 58 18.9 16FB59 W84 C~1qoJ 2016 04 01.16250 11 41 17.65 -17 58 19.0 16FB59 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 -0.46 0.00 -0.03
2 0.0000 -0.13 -0.04 -0.06 -0.11
3 0.0000 -0.13 0.51 -0.06 -0.12
4 0.0027 -76.31 -0.44 3.44 0.28
5 0.0027 -76.36 0.06 3.20 0.02
6 0.0027 -76.44 0.52 3.38 0.19
7 0.0055 -156.07 -0.58 6.83 -0.07
8 0.0055 -156.11 -0.08 6.92 -0.00
9 0.0055 -156.11 0.46 6.92 -0.03
10 0.0084 -238.01 -0.63 11.19 -0.10
11 0.0084 -237.92 0.00 11.34 0.03
12 0.0084 -237.83 0.63 11.16 -0.18
13 0.0112 -316.29 -0.58 16.12 0.08
14 0.0112 -316.29 -0.04 16.12 0.05
15 0.0112 -316.12 0.67 16.09 -0.01
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.
16FB59 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