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: 16EX395 # Created Wed Nov 27 02:10:35 2024 # Orbit generated from Bernstein formalism # Fitting 14 observations of 14 # Arc: 8.03d # First observation: 2016/03/04 # Last observation: 2016/03/12 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.032557 -0.000000 -0.000302 0.025417 0.000000 # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 6.17 DOF: 23 RMS: 0.12 # Min/Max residuals: -0.25 0.29 # Exact a, adot, b, bdot, g, gdot: 1.696942E-05 2.631879E-02 -3.744766E-07 2.537222E-04 2.435519E-02 9.842463E-04 # Covariance matrix: 6.9968E-12 9.9129E-09 -4.1034E-13 -8.7826E-10 1.7299E-09 -1.1990E-08 9.9129E-09 1.4432E-05 -5.9647E-10 -1.2774E-06 2.5155E-06 -1.8728E-05 -4.1034E-13 -5.9647E-10 1.9690E-13 4.3772E-11 -1.0401E-10 6.9541E-10 -8.7826E-10 -1.2774E-06 4.3772E-11 1.1429E-07 -2.2267E-07 1.6739E-06 1.7299E-09 2.5155E-06 -1.0401E-10 -2.2267E-07 4.3855E-07 -3.1387E-06 -1.1990E-08 -1.8728E-05 6.9541E-10 1.6739E-06 -3.1387E-06 3.2281E-04 # lat0 lon0 xBary yBary zBary JD0 -10.881257 141.989913 -0.367461 -0.173092 -0.901337 2457451.851369 # Heliocentric elements and errors Epoch: 2457450.5000 = 2016/03/03 Mean Anomaly: 7.44935 +/- 110.936 Argument of Peri: 260.48138 +/- 192.290 Long of Asc Node: 229.13519 +/- 4.221 Inclination: 10.66185 +/- 0.051 Eccentricity: 0.25152023 +/- 0.2637 Semi-Major Axis: 55.78440457 +/- 16.9364 Time of Perihelion: 2454301.4222 +/- 46874.3 Perihelion: 41.75349813 +/- 19.4187 Aphelion: 69.81531101 +/- 25.8006 Period (y) 416.6558 +/- 189.75 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -32.72246410 +/- 0.8638 Ecliptic Y 25.10281735 +/- 0.6752 Ecliptic Z -7.75090350 +/- 0.2107 Ecliptic XDOT -0.00191192 +/- 0.0015 Ecliptic YDOT -0.00226783 +/- 0.0013 Ecliptic ZDOT 0.00000713 +/- 0.0004 # Distances at JD0 (AU) Heliocenter to KBO 41.96412278 +/- 0.7863 Geocenter to KBO 41.05900739 +/- 1.1164 # Hcoef: 8.68
The following table shows the complete astrometric record for 16EX395. 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 (16EX395) followed by the observatory code and reference code for the source of the astrometry.
2016 03 04.35058 09 23 24.03 +03 51 42.5 24.1i 16EX395 T09 C~8HEq 2016 03 04.35599 09 23 24.00 +03 51 42.5 24.4i 16EX395 T09 C~8HEq 2016 03 04.36972 09 23 23.95 +03 51 43.0 24.4i 16EX395 T09 C~8HEq 2016 03 04.39161 09 23 23.85 +03 51 43.5 24.3i 16EX395 T09 C~8HEq 2016 03 04.40516 09 23 23.81 +03 51 43.8 24.3i 16EX395 T09 C~8HEq 2016 03 04.41599 09 23 23.75 +03 51 44.2 24.5i 16EX395 T09 C~8HEq 2016 03 04.41869 09 23 23.74 +03 51 44.2 24.4i 16EX395 T09 C~8HEq 2016 03 07.35963 09 23 11.93 +03 53 02.7 25.8g 16EX395 T09 C~8HEq 2016 03 07.40854 09 23 11.73 +03 53 04.0 25.7g 16EX395 T09 C~8HEq 2016 03 07.42793 09 23 11.65 +03 53 04.5 25.8g 16EX395 T09 C~8HEq 2016 03 12.31545 09 22 52.96 +03 55 16.0 25.1z 16EX395 T09 C~8HEq 2016 03 12.37078 09 22 52.76 +03 55 17.2 24.9z 16EX395 T09 C~8HEq 2016 03 12.38194 09 22 52.72 +03 55 17.4 25.0z 16EX395 T09 C~8HEq 2016 03 12.38465 09 22 52.72 +03 55 17.2 24.7z 16EX395 T09 C~8HEq
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 0.11
2 0.0000 -0.43 -0.04 -0.14 -0.06
3 0.0001 -1.29 0.02 0.10 0.10
4 0.0001 -2.87 -0.07 0.10 -0.02
5 0.0001 -3.53 0.18 0.20 0.00
6 0.0002 -4.51 -0.07 0.30 0.04
7 0.0002 -4.65 -0.03 0.25 -0.02
8 0.0082 -197.11 -0.00 19.26 -0.06
9 0.0084 -200.36 -0.04 19.56 -0.08
10 0.0084 -201.66 -0.06 19.66 -0.11
11 0.0218 -508.50 -0.25 56.67 0.29
12 0.0220 -511.72 -0.03 56.87 0.06
13 0.0220 -512.35 0.03 56.87 -0.02
14 0.0220 -512.29 0.26 56.68 -0.23
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.