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: 15FR486 # Created Thu Sep 4 01:10:32 2025 # Orbit generated from Bernstein formalism # Fitting 17 observations of 17 # Arc: 65.89d # First observation: 2015/03/18 # Last observation: 2015/05/23 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.029862 0.000000 0.001186 0.024890 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 14.16 DOF: 29 RMS: 0.16 # Min/Max residuals: -0.39 0.34 # Exact a, adot, b, bdot, g, gdot: 1.420211E-05 2.346771E-02 6.975429E-07 1.207108E-03 2.387288E-02 -5.785626E-03 # Covariance matrix: 7.2040E-13 7.2325E-10 2.9731E-14 -2.5678E-12 1.1267E-10 -8.2128E-09 7.2325E-10 1.2407E-06 5.3574E-11 -4.6405E-09 1.8917E-07 -1.5112E-05 2.9731E-14 5.3574E-11 1.3550E-13 -1.0971E-12 8.1474E-12 -6.5825E-10 -2.5678E-12 -4.6405E-09 -1.0971E-12 3.4790E-11 -7.0562E-10 5.7045E-08 1.1267E-10 1.8917E-07 8.1474E-12 -7.0562E-10 2.8873E-08 -2.2959E-06 -8.2128E-09 -1.5112E-05 -6.5825E-10 5.7045E-08 -2.2959E-06 1.8632E-04 # lat0 lon0 xBary yBary zBary JD0 -0.103559 179.713511 0.040891 -0.001664 -0.991309 2457099.977938 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 310.45417 +/- 37.390 Argument of Peri: 75.73208 +/- 12.468 Long of Asc Node: 181.62587 +/- 0.097 Inclination: 2.94315 +/- 0.146 Eccentricity: 0.26539580 +/- 0.6212 Semi-Major Axis: 48.74021096 +/- 20.4581 Time of Perihelion: 2474195.9344 +/- 7116.7 Perihelion: 35.80476364 +/- 33.8003 Aphelion: 61.67565828 +/- 39.8343 Period (y) 340.2823 +/- 214.24 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -42.88215782 +/- 0.2981 Ecliptic Y 0.25513545 +/- 0.0015 Ecliptic Z -0.07566577 +/- 0.0005 Ecliptic XDOT 0.00064639 +/- 0.0016 Ecliptic YDOT -0.00270044 +/- 0.0001 Ecliptic ZDOT 0.00013972 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.88298355 +/- 0.2981 Geocenter to KBO 41.88852856 +/- 0.2982 # Hcoef: 8.36
The following table shows the complete astrometric record for 15FR486. 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 (15FR486) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.47716 11 58 47.03 +00 01 08.2 24.5r 15FR486 T09 C~8cQL 2015 03 18.50997 11 58 46.85 +00 01 09.2 24.8r 15FR486 T09 C~8cQL 2015 03 18.53831 11 58 46.74 +00 01 10.1 24.7r 15FR486 T09 C~8cQL 2015 03 18.57522 11 58 46.58 +00 01 11.3 24.6r 15FR486 T09 C~8cQL 2015 03 22.48791 11 58 29.47 +00 03 05.3 24.3i 15FR486 T09 C~8cQL 2015 03 22.49071 11 58 29.46 +00 03 05.5 24.2i 15FR486 T09 C~8cQL 2015 03 22.52383 11 58 29.31 +00 03 06.5 24.4i 15FR486 T09 C~8cQL 2015 03 25.45464 11 58 16.53 +00 04 31.8 25.1g 15FR486 T09 C~8cQL 2015 03 25.51534 11 58 16.26 +00 04 33.5 25.9g 15FR486 T09 C~8cQL 2015 03 25.55185 11 58 16.10 +00 04 34.5 25.7g 15FR486 T09 C~8cQL 2015 03 29.29907 11 57 59.85 +00 06 22.7 24.1y 15FR486 T09 C~8ste 2015 03 29.38505 11 57 59.49 +00 06 25.5 24.3y 15FR486 T09 C~8ste 2015 03 29.42373 11 57 59.31 +00 06 26.5 23.9y 15FR486 T09 C~8ste 2015 05 23.29468 11 55 02.82 +00 26 19.4 24.4z 15FR486 T09 C~90HW 2015 05 23.32089 11 55 02.82 +00 26 19.7 24.3z 15FR486 T09 C~90HW 2015 05 23.33848 11 55 02.77 +00 26 19.5 23.9z 15FR486 T09 C~90HW 2015 05 23.36453 11 55 02.70 +00 26 19.9 24.4z 15FR486 T09 C~90HW
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 0.28 0.00 0.02
2 0.0001 -2.87 -0.21 -0.16 -0.14
3 0.0002 -4.75 -0.02 0.01 0.02
4 0.0003 -7.43 -0.02 0.16 0.16
5 0.0110 -288.24 -0.03 2.66 -0.00
6 0.0110 -288.46 -0.04 2.79 0.12
7 0.0111 -290.92 -0.09 2.81 0.14
8 0.0191 -500.74 0.05 4.82 0.12
9 0.0193 -505.13 0.06 4.77 0.05
10 0.0194 -507.73 0.11 4.73 0.00
11 0.0296 -774.41 -0.07 7.05 -0.39
12 0.0299 -780.47 0.04 7.47 0.01
13 0.0300 -783.35 -0.05 7.31 -0.16
14 0.1802 -3687.11 -0.25 48.84 0.07
15 0.1803 -3687.23 0.33 49.11 0.34
16 0.1803 -3687.84 0.18 48.63 -0.15
17 0.1804 -3688.96 -0.26 48.58 -0.21
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.
15FR486 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