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: 16FK185 # Created Wed Nov 27 02:10:37 2024 # Orbit generated from Bernstein formalism # Fitting 20 observations of 20 # Arc: 29.12d # First observation: 2016/03/16 # Last observation: 2016/04/14 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.029660 0.000000 0.005810 0.026584 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 9.95 DOF: 35 RMS: 0.12 # Min/Max residuals: -0.23 0.33 # Exact a, adot, b, bdot, g, gdot: 1.646609E-05 2.728555E-02 4.029701E-06 5.956356E-03 2.607748E-02 -4.036177E-03 # Covariance matrix: 5.1662E-13 5.2134E-10 -5.6385E-14 -3.8508E-11 9.5839E-11 3.7428E-09 5.2134E-10 8.8971E-07 -9.5066E-11 -6.5704E-08 1.6176E-07 5.7792E-06 -5.6385E-14 -9.5066E-11 2.1454E-13 4.1924E-12 -1.7344E-11 -6.5416E-10 -3.8508E-11 -6.5704E-08 4.1924E-12 4.9242E-09 -1.1915E-08 -4.0718E-07 9.5839E-11 1.6176E-07 -1.7344E-11 -1.1915E-08 2.9495E-08 1.1030E-06 3.7428E-09 5.7792E-06 -6.5416E-10 -4.0718E-07 1.1030E-06 7.0410E-05 # lat0 lon0 xBary yBary zBary JD0 11.572551 -150.209556 0.551941 0.165327 -0.806668 2457463.970569 # Heliocentric elements and errors Epoch: 2457460.5000 = 2016/03/13 Mean Anomaly: 325.90893 +/- 31.031 Argument of Peri: 95.58170 +/- 61.007 Long of Asc Node: 167.25807 +/- 1.269 Inclination: 16.75731 +/- 0.394 Eccentricity: 0.22617099 +/- 0.2420 Semi-Major Axis: 46.93893653 +/- 4.1113 Time of Perihelion: 2468583.8706 +/- 10018.8 Perihelion: 36.32271068 +/- 11.7984 Aphelion: 57.55516239 +/- 12.4296 Period (y) 321.5941 +/- 42.25 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -33.59535288 +/- 0.2147 Ecliptic Y -18.59730798 +/- 0.1229 Ecliptic Z 7.69296335 +/- 0.0507 Ecliptic XDOT 0.00189236 +/- 0.0007 Ecliptic YDOT -0.00222451 +/- 0.0005 Ecliptic ZDOT 0.00052764 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 39.16234523 +/- 0.1935 Geocenter to KBO 38.34726573 +/- 0.2525 # Hcoef: 7.37
The following table shows the complete astrometric record for 16FK185. 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 (16FK185) followed by the observatory code and reference code for the source of the astrometry.
2016 03 16.46978 14 07 02.80 -00 32 50.9 23.2z 16FK185 T09 C~89TO 2016 03 16.48822 14 07 02.73 -00 32 50.4 22.9z 16FK185 T09 C~89TO 2016 03 16.49362 14 07 02.72 -00 32 50.0 22.7z 16FK185 T09 C~89TO 2016 03 16.51315 14 07 02.65 -00 32 49.3 22.7z 16FK185 T09 C~89TO 2016 03 16.54620 14 07 02.52 -00 32 48.2 23.0z 16FK185 T09 C~89TO 2016 03 16.57077 14 07 02.45 -00 32 47.2 23.6z 16FK185 T09 C~89TO 2016 03 16.59256 14 07 02.35 -00 32 46.5 23.1z 16FK185 T09 C~89TO 2016 04 08.53538 14 05 28.21 -00 19 46.1 23.4r 16FK185 T09 C~89TO 2016 04 08.54322 14 05 28.19 -00 19 45.9 23.1r 16FK185 T09 C~89TO 2016 04 08.56882 14 05 28.06 -00 19 45.1 22.9r 16FK185 T09 C~89TO 2016 04 11.43756 14 05 14.88 -00 18 11.9 23.0i 16FK185 T09 C~89TO 2016 04 11.46218 14 05 14.78 -00 18 11.0 23.4i 16FK185 T09 C~89TO 2016 04 11.47868 14 05 14.70 -00 18 10.5 23.1i 16FK185 T09 C~89TO 2016 04 11.50846 14 05 14.55 -00 18 09.3 22.6i 16FK185 T09 C~89TO 2016 04 11.52732 14 05 14.47 -00 18 09.0 23.0i 16FK185 T09 C~89TO 2016 04 14.52261 14 05 00.54 -00 16 33.3 23.3y 16FK185 T09 C~89TO 2016 04 14.53412 14 05 00.47 -00 16 32.7 23.4y 16FK185 T09 C~89TO 2016 04 14.54222 14 05 00.43 -00 16 32.9 23.0y 16FK185 T09 C~89TO 2016 04 14.57727 14 05 00.26 -00 16 31.9 23.1y 16FK185 T09 C~89TO 2016 04 14.59343 14 05 00.18 -00 16 31.2 22.9y 16FK185 T09 C~89TO
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 0.02 0.00 -0.09
2 0.0001 -1.16 0.01 0.11 -0.23
3 0.0001 -1.44 0.07 0.43 0.02
4 0.0001 -2.66 0.06 0.72 0.05
5 0.0002 -4.87 -0.09 1.08 -0.03
6 0.0003 -6.20 0.11 1.66 0.21
7 0.0003 -7.85 -0.17 1.80 0.06
8 0.0632 -1602.55 -0.10 246.70 0.07
9 0.0632 -1602.90 0.16 246.78 0.10
10 0.0632 -1605.01 0.01 246.86 0.00
11 0.0711 -1822.74 -0.12 266.07 -0.21
12 0.0712 -1824.46 0.07 266.40 -0.03
13 0.0712 -1825.76 0.05 266.45 -0.07
14 0.0713 -1828.29 -0.17 266.80 0.11
15 0.0713 -1829.52 0.07 266.67 -0.13
16 0.0795 -2058.68 0.19 284.34 0.19
17 0.0796 -2059.87 -0.11 284.54 0.33
18 0.0796 -2060.36 0.03 284.15 -0.10
19 0.0797 -2063.10 0.02 284.20 -0.21
20 0.0797 -2064.47 -0.10 284.45 -0.05
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.