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: 15FA559 # Created Mon Jul 7 01:10:32 2025 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 60.88d # First observation: 2015/01/16 # Last observation: 2015/03/18 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.017507 0.000001 0.005268 0.021060 0.000000 # Chi-squared of fit: 8.95 DOF: 44 RMS: 0.11 # Min/Max residuals: -0.21 0.26 # Exact a, adot, b, bdot, g, gdot: 1.259771E-05 1.641289E-02 4.272109E-06 5.235828E-03 2.082135E-02 -5.092257E-03 # Covariance matrix: 2.9871E-13 1.8052E-10 1.2074E-13 4.6640E-12 3.7283E-11 2.4016E-09 1.8052E-10 2.6111E-07 1.6440E-10 5.6419E-09 4.9556E-08 2.1027E-06 1.2074E-13 1.6440E-10 1.7981E-13 3.0652E-12 3.1405E-11 1.3892E-09 4.6640E-12 5.6419E-09 3.0652E-12 1.4464E-10 1.0934E-09 5.2722E-08 3.7283E-11 4.9556E-08 3.1405E-11 1.0934E-09 9.4933E-09 4.2738E-07 2.4016E-09 2.1027E-06 1.3892E-09 5.2722E-08 4.2738E-07 2.6080E-05 # lat0 lon0 xBary yBary zBary JD0 -9.453679 152.334205 0.585196 -0.129327 -0.777660 2457039.061148 # Heliocentric elements and errors Epoch: 2457030.5000 = 2015/01/08 Mean Anomaly: 272.25808 +/- 33.965 Argument of Peri: 92.40787 +/- 18.358 Long of Asc Node: 178.57728 +/- 0.794 Inclination: 19.87418 +/- 0.503 Eccentricity: 0.30118898 +/- 0.2297 Semi-Major Axis: 45.40465096 +/- 5.3213 Time of Perihelion: 2484267.1431 +/- 9393.4 Perihelion: 31.72927054 +/- 11.0710 Aphelion: 59.08003139 +/- 12.5173 Period (y) 305.9558 +/- 53.79 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -42.38868577 +/- 0.1963 Ecliptic Y 22.88159287 +/- 0.1029 Ecliptic Z -7.88836686 +/- 0.0369 Ecliptic XDOT -0.00052111 +/- 0.0006 Ecliptic YDOT -0.00217094 +/- 0.0003 Ecliptic ZDOT 0.00078920 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 48.81182547 +/- 0.1773 Geocenter to KBO 48.02763274 +/- 0.2247 # Hcoef: 8.31
The following table shows the complete astrometric record for 15FA559. 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 (15FA559) followed by the observatory code and reference code for the source of the astrometry.
2015 01 16.56037 10 03 44.59 +01 48 16.0 24.9z 15FA559 T09 C~8uZG 2015 01 16.57632 10 03 44.54 +01 48 16.4 24.9z 15FA559 T09 C~8uZG 2015 01 16.59524 10 03 44.48 +01 48 16.4 24.7z 15FA559 T09 C~8uZG 2015 01 16.62952 10 03 44.37 +01 48 17.0 24.8z 15FA559 T09 C~8uZG 2015 01 16.66214 10 03 44.25 +01 48 17.6 25.3z 15FA559 T09 C~8uZG 2015 01 17.42357 10 03 41.74 +01 48 28.2 24.7i 15FA559 T09 C~8uZG 2015 01 17.42812 10 03 41.74 +01 48 28.2 24.9i 15FA559 T09 C~8uZG 2015 01 17.43268 10 03 41.72 +01 48 28.3 25.1i 15FA559 T09 C~8uZG 2015 01 17.43723 10 03 41.71 +01 48 28.2 25.3i 15FA559 T09 C~8uZG 2015 01 17.44180 10 03 41.69 +01 48 28.3 24.7i 15FA559 T09 C~8uZG 2015 01 19.44721 10 03 34.93 +01 48 57.8 24.9z 15FA559 T09 C~8uZG 2015 01 19.45634 10 03 34.89 +01 48 58.1 24.9z 15FA559 T09 C~8uZG 2015 01 20.44750 10 03 31.50 +01 49 13.2 25.8g 15FA559 T09 C~8uZG 2015 01 20.45704 10 03 31.46 +01 49 13.2 25.7g 15FA559 T09 C~8uZG 2015 01 21.56653 10 03 27.60 +01 49 30.7 24.7i 15FA559 T09 C~8uZG 2015 01 21.57962 10 03 27.54 +01 49 31.1 25.2i 15FA559 T09 C~8uZG 2015 01 21.59540 10 03 27.49 +01 49 31.2 25.1i 15FA559 T09 C~8uZG 2015 01 21.60626 10 03 27.45 +01 49 31.6 25.2i 15FA559 T09 C~8uZG 2015 01 21.61354 10 03 27.43 +01 49 31.4 25.0i 15FA559 T09 C~8uZG 2015 01 21.61742 10 03 27.43 +01 49 31.4 25.1i 15FA559 T09 C~8uZG 2015 01 21.63213 10 03 27.38 +01 49 31.7 25.3i 15FA559 T09 C~8uZG 2015 03 18.40452 09 59 52.38 +02 11 54.6 25.1r 15FA559 T09 C~8uZG 2015 03 18.42254 09 59 52.32 +02 11 55.3 25.1r 15FA559 T09 C~8uZG 2015 03 18.44066 09 59 52.25 +02 11 55.6 25.1r 15FA559 T09 C~8uZG 2015 03 18.44463 09 59 52.25 +02 11 55.6 24.9r 15FA559 T09 C~8uZG
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 -0.03 0.00 -0.06
2 0.0000 -0.84 -0.04 0.11 0.13
3 0.0001 -1.68 0.10 -0.21 -0.10
4 0.0002 -3.44 0.12 -0.23 0.04
5 0.0003 -5.33 -0.09 -0.30 0.12
6 0.0024 -44.29 -0.17 -3.64 -0.01
7 0.0024 -44.29 0.07 -3.64 0.01
8 0.0024 -44.60 -0.01 -3.66 0.02
9 0.0024 -44.71 0.12 -3.80 -0.10
10 0.0024 -45.02 0.05 -3.81 -0.10
11 0.0079 -150.27 -0.04 -11.93 -0.02
12 0.0079 -150.93 -0.21 -11.86 0.09
13 0.0106 -203.82 -0.00 -15.64 0.09
14 0.0107 -204.38 -0.04 -15.85 -0.08
15 0.0137 -264.70 0.05 -19.87 -0.04
16 0.0137 -265.69 -0.20 -19.81 0.07
17 0.0138 -266.42 -0.06 -19.99 -0.04
18 0.0138 -267.13 -0.16 -19.82 0.17
19 0.0138 -267.34 0.03 -20.12 -0.10
20 0.0138 -267.34 0.25 -20.12 -0.08
21 0.0139 -268.14 0.26 -20.10 -0.01
22 0.1666 -3758.02 -0.03 101.67 -0.03
23 0.1666 -3759.11 -0.06 102.01 0.17
24 0.1667 -3760.20 -0.07 101.92 -0.05
25 0.1667 -3760.20 0.16 101.92 -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.
15FA559 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