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: 12FN84 # Created Tue Apr 1 01:09:22 2025 # Orbit generated from Bernstein formalism # Fitting 9 observations of 9 # Arc: 118.97d # First observation: 2012/03/25 # Last observation: 2012/07/22 Preliminary a, adot, b, bdot, g, gdot: -0.000004 0.017535 0.000014 0.000490 0.018749 0.000000 # Chi-squared of fit: 11.05 DOF: 12 RMS: 0.20 # Min/Max residuals: -0.35 0.57 # Exact a, adot, b, bdot, g, gdot: 1.208611E-05 1.383901E-02 1.006222E-06 8.320749E-04 1.812951E-02 -5.417776E-03 # Covariance matrix: 4.9832E-13 9.3490E-12 4.0568E-14 -8.8204E-13 2.8384E-12 7.3678E-11 9.3490E-12 1.3245E-08 4.8065E-11 -1.2637E-09 1.9471E-09 -2.2245E-07 4.0568E-14 4.8065E-11 4.7733E-13 -5.6725E-12 7.0889E-12 -8.0419E-10 -8.8204E-13 -1.2637E-09 -5.6725E-12 1.2924E-10 -1.8510E-10 2.1389E-08 2.8384E-12 1.9471E-09 7.0889E-12 -1.8510E-10 2.9549E-10 -3.0989E-08 7.3678E-11 -2.2245E-07 -8.0419E-10 2.1389E-08 -3.0989E-08 4.0693E-06 # lat0 lon0 xBary yBary zBary JD0 -7.127038 -150.257875 0.419455 -0.112669 -0.901218 2456011.795606 # Heliocentric elements and errors Epoch: 2456010.5000 = 2012/03/24 Mean Anomaly: 283.83108 +/- 23.607 Argument of Peri: 54.77845 +/- 10.525 Long of Asc Node: 272.94109 +/- 0.373 Inclination: 7.81685 +/- 0.025 Eccentricity: 0.37346012 +/- 0.1024 Semi-Major Axis: 53.49031012 +/- 5.3075 Time of Perihelion: 2486243.8584 +/- 8219.0 Perihelion: 33.51381259 +/- 6.4062 Aphelion: 73.46680765 +/- 9.1170 Period (y) 391.2198 +/- 58.23 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -48.51592611 +/- 0.0451 Ecliptic Y -27.23790366 +/- 0.0257 Ecliptic Z -6.84347581 +/- 0.0065 Ecliptic XDOT 0.00172331 +/- 0.0003 Ecliptic YDOT -0.00141571 +/- 0.0001 Ecliptic ZDOT 0.00022630 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 56.05828791 +/- 0.0410 Geocenter to KBO 55.15868611 +/- 0.0523 # Hcoef: 7.85
The following table shows the complete astrometric record for 12FN84. 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 (12FN84) followed by the observatory code and reference code for the source of the astrometry.
2012 03 25.29484 13 40 07.079 -18 02 15.82 25.5r 12FN84 304 C~1x84 2012 03 25.35936 13 40 06.841 -18 02 14.81 12FN84 304 C~1x84 2012 03 25.39318 13 40 06.762 -18 02 14.24 12FN84 304 C~1x84 2012 04 18.09577 13 38 41.956 -17 54 58.13 12FN84 304 C~1x84 2012 04 18.24766 13 38 41.390 -17 54 55.18 12FN84 304 C~1x84 2012 04 19.29898 13 38 37.521 -17 54 33.13 12FN84 304 C~1x84 2012 07 21.26804 13 35 33.187 -17 28 22.12 25.1r 12FN84 568 C~1x84 2012 07 21.28539 13 35 33.194 -17 28 21.89 12FN84 568 C~1x84 2012 07 22.26491 13 35 34.012 -17 28 17.93 12FN84 568 C~1x84
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 -0.00 0.00 -0.06
2 0.0002 -3.53 -0.24 -0.29 -0.14
3 0.0003 -4.79 0.23 -0.17 0.08
4 0.0652 -1290.52 -0.01 -34.58 0.12
5 0.0656 -1299.12 0.08 -34.79 -0.05
6 0.0685 -1358.59 -0.05 -34.42 0.08
7 0.3230 -4386.22 -0.23 460.28 -0.11
8 0.3230 -4386.21 -0.35 460.53 -0.00
9 0.3257 -4376.79 0.57 468.53 0.08
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.
12FN84 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0