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: 16EX390 # Created Wed Nov 27 02:10:35 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 8.04d # First observation: 2016/03/04 # Last observation: 2016/03/12 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.035376 0.000001 0.011432 0.028249 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 7.23 DOF: 25 RMS: 0.12 # Min/Max residuals: -0.23 0.31 # Exact a, adot, b, bdot, g, gdot: 1.803071E-05 2.975726E-02 7.716145E-06 1.200797E-02 2.729082E-02 -5.542420E-04 # Covariance matrix: 4.7824E-12 7.4220E-09 -2.8606E-13 -7.3030E-10 1.3106E-09 -9.7103E-09 7.4220E-09 1.1929E-05 -4.5826E-10 -1.1729E-06 2.1030E-06 -1.7315E-05 -2.8606E-13 -4.5826E-10 1.6755E-13 3.6523E-11 -8.0873E-11 4.9780E-10 -7.3030E-10 -1.1729E-06 3.6523E-11 1.1675E-07 -2.0674E-07 1.7985E-06 1.3106E-09 2.1030E-06 -8.0873E-11 -2.0674E-07 3.7085E-07 -2.9122E-06 -9.7103E-09 -1.7315E-05 4.9780E-10 1.7985E-06 -2.9122E-06 3.3255E-04 # lat0 lon0 xBary yBary zBary JD0 -11.329960 140.458984 -0.391628 -0.178169 -0.890095 2457451.837689 # Heliocentric elements and errors Epoch: 2457450.5000 = 2016/03/03 Mean Anomaly: 359.18663 +/- 65.508 Argument of Peri: 334.15443 +/- 133.218 Long of Asc Node: 166.41605 +/- 3.177 Inclination: 24.53822 +/- 2.535 Eccentricity: 0.31899836 +/- 0.1798 Semi-Major Axis: 55.11418276 +/- 12.9696 Time of Perihelion: 2457788.1579 +/- 27194.5 Perihelion: 37.53284861 +/- 13.2740 Aphelion: 72.69551691 +/- 19.7695 Period (y) 409.1695 +/- 144.43 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -28.66035833 +/- 0.6182 Ecliptic Y 23.14660676 +/- 0.5104 Ecliptic Z -7.19844720 +/- 0.1606 Ecliptic XDOT -0.00204116 +/- 0.0013 Ecliptic YDOT -0.00219318 +/- 0.0012 Ecliptic ZDOT 0.00119211 +/- 0.0003 # Distances at JD0 (AU) Heliocenter to KBO 37.53663792 +/- 0.5682 Geocenter to KBO 36.64235791 +/- 0.8176 # Hcoef: 9.58
The following table shows the complete astrometric record for 16EX390. 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 (16EX390) followed by the observatory code and reference code for the source of the astrometry.
2016 03 04.33690 09 17 07.01 +03 54 08.1 25.0i 16EX390 T09 C~8HEh 2016 03 04.34717 09 17 06.98 +03 54 08.5 24.9i 16EX390 T09 C~8HEi 2016 03 04.35330 09 17 06.95 +03 54 08.8 25.0i 16EX390 T09 C~8HEi 2016 03 04.36703 09 17 06.89 +03 54 09.3 25.3i 16EX390 T09 C~8HEi 2016 03 04.38892 09 17 06.80 +03 54 10.1 25.0i 16EX390 T09 C~8HEi 2016 03 04.40242 09 17 06.73 +03 54 10.5 24.9i 16EX390 T09 C~8HEi 2016 03 04.41331 09 17 06.68 +03 54 11.0 25.0i 16EX390 T09 C~8HEi 2016 03 04.41599 09 17 06.68 +03 54 11.3 24.9i 16EX390 T09 C~8HEi 2016 03 07.36623 09 16 54.02 +03 55 57.5 26.3g 16EX390 T09 C~8HEi 2016 03 07.40643 09 16 53.86 +03 55 59.0 26.3g 16EX390 T09 C~8HEi 2016 03 07.42361 09 16 53.77 +03 55 59.7 26.4g 16EX390 T09 C~8HEi 2016 03 07.42573 09 16 53.76 +03 55 59.5 25.6g 16EX390 T09 C~8HEi 2016 03 12.35418 09 16 33.76 +03 58 58.5 24.6z 16EX390 T09 C~8HEi 2016 03 12.36808 09 16 33.70 +03 58 58.5 25.2z 16EX390 T09 C~8HEi 2016 03 12.37925 09 16 33.67 +03 58 59.0 24.6z 16EX390 T09 C~8HEi
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 -0.16
2 0.0000 -0.55 0.05 0.24 -0.06
3 0.0000 -1.07 -0.01 0.39 0.01
4 0.0001 -2.08 0.01 0.59 0.02
5 0.0001 -3.61 0.11 0.94 0.07
6 0.0002 -4.73 0.00 1.00 -0.06
7 0.0002 -5.59 -0.05 1.24 0.04
8 0.0002 -5.68 0.05 1.53 0.28
9 0.0083 -218.61 -0.02 44.34 -0.07
10 0.0084 -221.35 0.15 45.03 0.04
11 0.0085 -222.85 -0.11 45.28 0.04
12 0.0085 -222.93 -0.03 45.04 -0.23
13 0.0220 -562.75 -0.12 123.39 0.31
14 0.0220 -563.60 -0.03 123.12 -0.19
15 0.0220 -564.18 0.15 123.46 -0.03
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.