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: 14DM206 # Created Wed Nov 27 02:09:48 2024 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 14.18d # First observation: 2014/02/19 # Last observation: 2014/03/05 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.021096 0.000000 -0.007509 0.023595 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 14 iterations -- oscilliatory solution # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 2.70 DOF: 19 RMS: 0.08 # Min/Max residuals: -0.15 0.23 # Exact a, adot, b, bdot, g, gdot: 1.387427E-05 2.066716E-02 -5.010917E-06 -7.510483E-03 2.350920E-02 -4.093895E-03 # Covariance matrix: 1.8635E-11 2.5243E-08 2.2325E-12 4.5223E-10 4.0840E-09 8.1546E-08 2.5243E-08 3.6997E-05 3.2517E-09 6.6529E-07 5.9683E-06 1.0827E-04 2.2325E-12 3.2517E-09 1.5135E-12 2.2636E-11 5.2504E-10 1.0109E-08 4.5223E-10 6.6529E-07 2.2636E-11 1.3155E-08 1.0722E-07 1.8154E-06 4.0840E-09 5.9683E-06 5.2504E-10 1.0722E-07 9.6308E-07 1.7799E-05 8.1546E-08 1.0827E-04 1.0109E-08 1.8154E-06 1.7799E-05 7.4082E-04 # lat0 lon0 xBary yBary zBary JD0 -9.033942 163.539948 0.226018 -0.150616 -0.948225 2456707.663257 # Heliocentric elements and errors Epoch: 2456700.5000 = 2014/02/12 Mean Anomaly: 280.51391 +/- 127.285 Argument of Peri: 305.44388 +/- 83.407 Long of Asc Node: 320.30224 +/- 6.254 Inclination: 21.74595 +/- 5.095 Eccentricity: 0.18701563 +/- 1.2037 Semi-Major Axis: 43.46237045 +/- 14.6996 Time of Perihelion: 2479808.2232 +/- 35097.5 Perihelion: 35.33422796 +/- 53.6653 Aphelion: 51.59051293 +/- 55.1508 Period (y) 286.5354 +/- 145.37 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -41.14541023 +/- 1.6817 Ecliptic Y 12.39346146 +/- 0.4970 Ecliptic Z -6.67932219 +/- 0.2788 Ecliptic XDOT -0.00010453 +/- 0.0031 Ecliptic YDOT -0.00248344 +/- 0.0007 Ecliptic ZDOT -0.00078881 +/- 0.0005 # Distances at JD0 (AU) Heliocenter to KBO 43.48742364 +/- 1.5980 Geocenter to KBO 42.53654705 +/- 1.7756 # Hcoef: 6.73
The following table shows the complete astrometric record for 14DM206. 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 (14DM206) followed by the observatory code and reference code for the source of the astrometry.
2014 02 19.162479 10 45 30.027 -01 52 36.76 23.0i 14DM206 W84 C~86nj 2014 03 01.166098 10 44 44.320 -01 49 02.18 23.2g 14DM206 W84 C~86nj 2014 03 01.261355 10 44 43.871 -01 48 59.95 23.5g 14DM206 W84 C~86nj 2014 03 02.240419 10 44 39.371 -01 48 37.43 23.1g 14DM206 W84 C~86nj 2014 03 03.342579 10 44 34.309 -01 48 11.86 23.5g 14DM206 W84 C~86nj 2014 03 04.142111 10 44 30.650 -01 47 53.07 23.1g 14DM206 W84 C~86nj 2014 03 04.232883 10 44 30.244 -01 47 51.09 23.8g 14DM206 W84 C~86nj 2014 03 04.336563 10 44 29.740 -01 47 48.51 23.6g 14DM206 W84 C~86nj 2014 03 05.046278 10 44 26.528 -01 47 31.60 23.6g 14DM206 W84 C~86nj 2014 03 05.150922 10 44 26.028 -01 47 29.23 23.3g 14DM206 W84 C~86nj 2014 03 05.244463 10 44 25.590 -01 47 27.17 23.6g 14DM206 W84 C~86nj 2014 03 05.341207 10 44 25.143 -01 47 24.77 23.7g 14DM206 W84 C~86nj
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 0.01 0.00 -0.01 2 0.0274 -715.27 0.05 -63.25 -0.00 3 0.0276 -722.35 -0.03 -63.76 0.02 4 0.0303 -793.30 -0.07 -68.70 0.01 5 0.0333 -873.21 0.02 -74.04 0.00 6 0.0355 -931.08 -0.06 -77.62 0.02 7 0.0358 -937.47 0.23 -78.12 -0.03 8 0.0361 -945.43 -0.13 -78.62 -0.03 9 0.0380 -996.40 0.11 -81.38 0.20 10 0.0383 -1004.23 -0.04 -82.05 0.02 11 0.0386 -1011.09 -0.02 -82.65 -0.15 12 0.0388 -1018.20 -0.04 -82.99 -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.