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: 16ES367 # Created Wed Nov 27 02:10:35 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 8.02d # First observation: 2016/03/04 # Last observation: 2016/03/12 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.020379 0.000002 -0.001646 0.021444 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 16.65 DOF: 25 RMS: 0.19 # Min/Max residuals: -0.41 0.35 # Exact a, adot, b, bdot, g, gdot: 1.395616E-05 1.748237E-02 8.563038E-07 -1.525260E-03 2.098003E-02 -7.429139E-03 # Covariance matrix: 1.6332E-11 1.9944E-08 -1.2777E-13 -8.3794E-10 3.2728E-09 2.3488E-08 1.9944E-08 2.4785E-05 -1.5849E-10 -1.0404E-06 4.0633E-06 2.8193E-05 -1.2777E-13 -1.5849E-10 2.5356E-13 -9.3374E-12 -2.5994E-11 -2.0357E-10 -8.3794E-10 -1.0404E-06 -9.3374E-12 4.5331E-08 -1.7058E-07 -1.1857E-06 3.2728E-09 4.0633E-06 -2.5994E-11 -1.7058E-07 6.6623E-07 4.6744E-06 2.3488E-08 2.8193E-05 -2.0357E-10 -1.1857E-06 4.6744E-06 1.7548E-04 # lat0 lon0 xBary yBary zBary JD0 -9.248138 152.377270 -0.197390 -0.155529 -0.956185 2457451.934399 # Heliocentric elements and errors Epoch: 2457450.5000 = 2016/03/03 Mean Anomaly: 295.37744 +/- 71.517 Argument of Peri: 351.76509 +/- 49.783 Long of Asc Node: 270.97719 +/- 3.302 Inclination: 10.27548 +/- 0.321 Eccentricity: 0.38695954 +/- 0.6503 Semi-Major Axis: 49.71287712 +/- 25.9165 Time of Perihelion: 2480432.2694 +/- 17997.0 Perihelion: 30.47600503 +/- 36.0205 Aphelion: 68.94974920 +/- 48.3436 Period (y) 350.5190 +/- 274.10 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -42.63657623 +/- 1.6216 Ecliptic Y 22.08405478 +/- 0.8488 Ecliptic Z -7.66012586 +/- 0.2980 Ecliptic XDOT -0.00018178 +/- 0.0017 Ecliptic YDOT -0.00248685 +/- 0.0007 Ecliptic ZDOT -0.00004064 +/- 0.0003 # Distances at JD0 (AU) Heliocenter to KBO 48.62366334 +/- 1.4740 Geocenter to KBO 47.66438331 +/- 1.8544 # Hcoef: 8.65
The following table shows the complete astrometric record for 16ES367. 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 (16ES367) followed by the observatory code and reference code for the source of the astrometry.
2016 03 04.43361 10 04 11.54 +01 58 54.5 25.5i 16ES367 T09 C~8COR 2016 03 04.44826 10 04 11.49 +01 58 55.2 25.5i 16ES367 T09 C~8COR 2016 03 04.46258 10 04 11.45 +01 58 55.7 25.3i 16ES367 T09 C~8COR 2016 03 04.46608 10 04 11.45 +01 58 55.7 26.1i 16ES367 T09 C~8COR 2016 03 07.29629 10 04 00.35 +02 00 03.3 26.0g 16ES367 T09 C~8COR 2016 03 07.30636 10 04 00.31 +02 00 04.0 26.0g 16ES367 T09 C~8COR 2016 03 07.32114 10 04 00.26 +02 00 03.8 26.1g 16ES367 T09 C~8COR 2016 03 09.29704 10 03 52.61 +02 00 51.7 25.2r 16ES367 T09 C~8COR 2016 03 09.30726 10 03 52.58 +02 00 52.2 25.7r 16ES367 T09 C~8COR 2016 03 09.31742 10 03 52.57 +02 00 52.2 25.5r 16ES367 T09 C~8COR 2016 03 09.32069 10 03 52.53 +02 00 52.1 25.8r 16ES367 T09 C~8COR 2016 03 09.32455 10 03 52.52 +02 00 52.1 25.1r 16ES367 T09 C~8COR 2016 03 12.41665 10 03 40.82 +02 02 07.6 24.9z 16ES367 T09 C~8COR 2016 03 12.43157 10 03 40.76 +02 02 07.6 24.5z 16ES367 T09 C~8COR 2016 03 12.45461 10 03 40.67 +02 02 08.1 24.4z 16ES367 T09 C~8COR
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 -0.16 0.00 -0.41
2 0.0000 -0.95 -0.16 0.39 -0.04
3 0.0001 -1.69 0.03 0.65 0.20
4 0.0001 -1.69 0.26 0.65 0.20
5 0.0078 -181.23 0.06 5.23 -0.08
6 0.0079 -182.04 -0.11 5.67 0.35
7 0.0079 -182.67 0.21 5.22 -0.13
8 0.0133 -306.88 -0.27 9.60 -0.07
9 0.0133 -307.47 -0.22 9.91 0.22
10 0.0134 -307.61 0.28 9.86 0.14
11 0.0134 -308.14 -0.04 9.56 -0.17
12 0.0134 -308.28 0.07 9.50 -0.23
13 0.0219 -499.03 -0.04 18.31 0.27
14 0.0219 -499.87 0.05 18.00 -0.09
15 0.0220 -501.31 0.03 17.99 -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.