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: 16FO59 # Created Fri Apr 26 01:17:51 2024 # Orbit generated from Bernstein formalism # Fitting 17 observations of 17 # Arc: 12.87d # First observation: 2016/03/28 # Last observation: 2016/04/10 Preliminary a, adot, b, bdot, g, gdot: 0.000002 0.036550 0.000000 0.009966 0.028327 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 60.54 DOF: 29 RMS: 0.33 # Min/Max residuals: -0.69 0.68 # Exact a, adot, b, bdot, g, gdot: 1.915116E-05 2.855511E-02 5.656507E-06 1.015076E-02 2.706007E-02 7.988102E-03 # Covariance matrix: 1.0190E-11 1.6005E-08 6.3026E-13 -3.4949E-10 2.5763E-09 -2.6809E-08 1.6005E-08 2.5669E-05 1.0170E-09 -5.6198E-07 4.1262E-06 -4.7715E-05 6.3026E-13 1.0170E-09 1.8613E-13 -2.9595E-11 1.6331E-10 -2.1117E-09 -3.4949E-10 -5.6198E-07 -2.9595E-11 1.3215E-08 -9.0293E-08 1.1024E-06 2.5763E-09 4.1262E-06 1.6331E-10 -9.0293E-08 6.6338E-07 -7.5480E-06 -2.6809E-08 -4.7715E-05 -2.1117E-09 1.1024E-06 -7.5480E-06 2.4607E-04 # lat0 lon0 xBary yBary zBary JD0 -6.797591 -177.035569 -0.082306 -0.117110 -0.983875 2457475.778729 # Heliocentric elements and errors Epoch: 2457470.5000 = 2016/03/23 Mean Anomaly: 25.76657 +/- 27.260 Argument of Peri: 283.77720 +/- 72.525 Long of Asc Node: 201.11694 +/- 3.125 Inclination: 20.55937 +/- 3.169 Eccentricity: 0.38379293 +/- 0.4420 Semi-Major Axis: 53.78321713 +/- 20.2262 Time of Perihelion: 2447158.9816 +/- 9229.1 Perihelion: 33.14159890 +/- 26.8409 Aphelion: 74.42483535 +/- 36.7215 Period (y) 394.4377 +/- 222.50 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -37.63493319 +/- 1.1030 Ecliptic Y -2.03387503 +/- 0.0570 Ecliptic Z -4.37385018 +/- 0.1317 Ecliptic XDOT -0.00077338 +/- 0.0016 Ecliptic YDOT -0.00294002 +/- 0.0004 Ecliptic ZDOT 0.00092415 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 37.94279126 +/- 1.0942 Geocenter to KBO 36.95481456 +/- 1.1123 # Hcoef: 7.38
The following table shows the complete astrometric record for 16FO59. 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 (16FO59) followed by the observatory code and reference code for the source of the astrometry.
2016 03 28.27794 12 00 00.46 -07 24 47.1 23.7V 16FO59 W84 C~1qoK 2016 03 28.28488 12 00 00.46 -07 24 47.1 16FO59 W84 C~1qoK 2016 03 28.29182 12 00 00.46 -07 24 47.1 16FO59 W84 C~1qoK 2016 03 29.22817 11 59 55.96 -07 24 11.3 16FO59 W84 C~1qoK 2016 03 29.23511 11 59 55.96 -07 24 11.2 16FO59 W84 C~1qoK 2016 03 29.24205 11 59 55.95 -07 24 11.1 16FO59 W84 C~1qoK 2016 03 30.25282 11 59 51.14 -07 23 31.7 16FO59 W84 C~1qoK 2016 03 30.25976 11 59 51.13 -07 23 31.8 16FO59 W84 C~1qoK 2016 03 30.26670 11 59 51.14 -07 23 31.9 16FO59 W84 C~1qoK 2016 03 31.21315 11 59 46.61 -07 22 55.3 16FO59 W84 C~1qoK 2016 03 31.22009 11 59 46.62 -07 22 55.3 16FO59 W84 C~1qoK 2016 03 31.22703 11 59 46.62 -07 22 55.2 16FO59 W84 C~1qoK 2016 04 01.22720 11 59 41.86 -07 22 16.6 16FO59 W84 C~1qoK 2016 04 01.23414 11 59 41.87 -07 22 16.5 16FO59 W84 C~1qoK 2016 04 01.24108 11 59 41.87 -07 22 16.6 16FO59 W84 C~1qoK 2016 04 09.154199 11 59 05.72 -07 17 12.1 22.9r 16FO59 W84 C~5SAz 2016 04 10.144315 11 59 01.34 -07 16 33.6 23.2g 16FO59 W84 C~5SAz
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 -0.51 0.00 0.06
2 0.0000 0.00 0.05 0.00 0.01
3 0.0000 0.00 0.61 0.00 -0.03
4 0.0026 -75.67 -0.49 5.99 -0.24
5 0.0026 -75.71 0.03 6.08 -0.19
6 0.0026 -75.89 0.41 6.11 -0.20
7 0.0054 -157.23 -0.52 13.54 0.38
8 0.0054 -157.33 -0.05 13.39 0.19
9 0.0054 -157.15 0.68 13.36 0.11
10 0.0080 -233.56 -0.69 19.89 0.02
11 0.0081 -233.42 0.01 19.95 0.04
12 0.0081 -233.46 0.53 20.04 0.08
13 0.0108 -313.80 -0.68 27.03 -0.09
14 0.0108 -313.71 -0.03 27.18 0.01
15 0.0109 -313.67 0.57 27.09 -0.12
16 0.0325 -928.46 0.12 90.44 -0.21
17 0.0352 -1003.60 -0.05 99.57 0.16
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.
16FO59 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