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: 15FR561 # Created Thu Jul 3 01:10:29 2025 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 10.88d # First observation: 2015/03/18 # Last observation: 2015/03/29 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 14.85 DOF: 26 RMS: 0.18 # Min/Max residuals: -0.44 0.38 # Exact a, adot, b, bdot, g, gdot: 1.317889E-05 2.201772E-02 -7.946852E-07 -1.154118E-03 2.452132E-02 0.000000E+00 # Covariance matrix: 3.9908E-11 6.0732E-08 8.7027E-14 -3.2768E-12 9.6536E-09 0.0000E+00 6.0732E-08 9.3086E-05 1.3336E-10 -5.0216E-09 1.4794E-05 0.0000E+00 8.7027E-14 1.3336E-10 2.7113E-13 -1.0689E-11 2.1195E-11 0.0000E+00 -3.2768E-12 -5.0216E-09 -1.0689E-11 6.5983E-10 -7.9806E-10 0.0000E+00 9.6536E-09 1.4794E-05 2.1195E-11 -7.9806E-10 2.3511E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.9402E-04 # lat0 lon0 xBary yBary zBary JD0 -0.089084 -178.695818 0.068445 -0.001411 -0.989789 2457099.974968 # Heliocentric elements and errors Epoch: 2457090.5000 = 2015/03/09 Mean Anomaly: 180.04968 +/- 250.880 Argument of Peri: 1.59644 +/- 220.804 Long of Asc Node: 359.54631 +/- 0.730 Inclination: 2.99287 +/- 1.306 Eccentricity: 0.14056756 +/- 0.5897 Semi-Major Axis: 36.62545574 +/- 16.7011 Time of Perihelion: 2497559.5597 +/- 49163.4 Perihelion: 31.47710472 +/- 25.9332 Aphelion: 41.77380676 +/- 28.7987 Period (y) 221.6577 +/- 151.61 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -41.76443316 +/- 2.5494 Ecliptic Y -0.88238706 +/- 0.0578 Ecliptic Z -0.06342270 +/- 0.0040 Ecliptic XDOT 0.00005273 +/- 0.0016 Ecliptic YDOT -0.00246345 +/- 0.0009 Ecliptic ZDOT -0.00012877 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.77380168 +/- 2.5488 Geocenter to KBO 40.78084375 +/- 2.5501 # Hcoef: 8.35
The following table shows the complete astrometric record for 15FR561. 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 (15FR561) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.47419 12 04 38.68 -00 36 01.7 24.9r 15FR561 T09 C~8vFX 2015 03 18.53616 12 04 38.36 -00 35 59.6 24.3r 15FR561 T09 C~8vFX 2015 03 18.56444 12 04 38.24 -00 35 59.1 24.5r 15FR561 T09 C~8vFX 2015 03 20.41961 12 04 29.74 -00 35 04.9 24.3i 15FR561 T09 C~8vFX 2015 03 20.49142 12 04 29.40 -00 35 02.9 24.4i 15FR561 T09 C~8vFX 2015 03 20.53283 12 04 29.21 -00 35 01.7 24.4i 15FR561 T09 C~8vFX 2015 03 25.45174 12 04 06.61 -00 32 38.4 25.1g 15FR561 T09 C~8vFX 2015 03 25.51323 12 04 06.33 -00 32 36.4 25.5g 15FR561 T09 C~8vFX 2015 03 25.54115 12 04 06.21 -00 32 35.6 24.7g 15FR561 T09 C~8vFX 2015 03 29.25584 12 03 49.20 -00 30 47.2 23.9y 15FR561 T09 C~8vFX 2015 03 29.28823 12 03 49.06 -00 30 46.9 24.5y 15FR561 T09 C~8vFX 2015 03 29.30995 12 03 48.97 -00 30 46.4 23.4y 15FR561 T09 C~8vFX 2015 03 29.31534 12 03 48.94 -00 30 46.2 24.0y 15FR561 T09 C~8vFX 2015 03 29.33446 12 03 48.85 -00 30 45.2 23.8y 15FR561 T09 C~8vFX 2015 03 29.35353 12 03 48.77 -00 30 45.0 24.2y 15FR561 T09 C~8vFX
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 0.21 0.00 0.01
2 0.0002 -5.24 -0.33 0.02 0.10
3 0.0002 -7.09 -0.04 -0.24 -0.13
4 0.0053 -145.62 -0.01 -1.21 0.07
5 0.0055 -151.10 -0.03 -1.41 -0.04
6 0.0056 -154.19 0.02 -1.44 -0.03
7 0.0191 -522.20 0.15 -4.78 -0.16
8 0.0193 -526.85 0.16 -4.61 0.08
9 0.0193 -528.82 0.31 -4.59 0.12
10 0.0295 -806.03 -0.44 -6.61 0.38
11 0.0296 -808.07 -0.06 -7.17 -0.15
12 0.0297 -809.51 0.14 -7.25 -0.20
13 0.0297 -810.00 0.05 -7.24 -0.19
14 0.0297 -811.64 -0.15 -6.86 0.21
15 0.0298 -812.82 0.10 -7.16 -0.07
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.