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: 15SO21 # Created Wed Nov 27 02:10:26 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 3.13d # First observation: 2015/09/17 # Last observation: 2015/09/21 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 37.87 DOF: 16 RMS: 0.34 # Min/Max residuals: -0.60 0.56 # Exact a, adot, b, bdot, g, gdot: 1.264996E-05 1.643806E-02 -7.569670E-06 -8.075742E-03 2.129450E-02 0.000000E+00 # Covariance matrix: 4.8971E-11 6.4129E-08 -9.4966E-13 -1.2272E-09 1.1313E-08 0.0000E+00 6.4129E-08 8.5137E-05 -1.2589E-09 -1.6266E-06 1.4995E-05 0.0000E+00 -9.4966E-13 -1.2589E-09 5.4336E-13 -6.2452E-11 -2.2178E-10 0.0000E+00 -1.2272E-09 -1.6266E-06 -6.2452E-11 5.0897E-08 -2.8656E-07 0.0000E+00 1.1313E-08 1.4995E-05 -2.2178E-10 -2.8656E-07 2.6416E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.2706E-04 # lat0 lon0 xBary yBary zBary JD0 -2.370206 -28.063334 -0.386920 -0.038395 -0.930647 2457283.373019 # Heliocentric elements and errors Epoch: 2457280.5000 = 2015/09/15 Mean Anomaly: 175.59397 +/- 318.555 Argument of Peri: 8.81512 +/- 294.122 Long of Asc Node: 147.68862 +/- 2.498 Inclination: 26.30968 +/- 12.247 Eccentricity: 0.10740654 +/- 0.6131 Semi-Major Axis: 43.25511565 +/- 20.7223 Time of Perihelion: 2510506.9218 +/- 84425.8 Perihelion: 38.60923334 +/- 32.3321 Aphelion: 47.90099795 +/- 35.0693 Period (y) 284.4883 +/- 204.44 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 42.40442484 +/- 3.1600 Ecliptic Y -22.17046328 +/- 1.6850 Ecliptic Z -1.94242724 +/- 0.1483 Ecliptic XDOT 0.00095458 +/- 0.0014 Ecliptic YDOT 0.00187872 +/- 0.0011 Ecliptic ZDOT -0.00103736 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 47.88984978 +/- 2.9047 Geocenter to KBO 46.96048357 +/- 3.5842 # Hcoef: 6.57
The following table shows the complete astrometric record for 15SO21. 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 (15SO21) followed by the observatory code and reference code for the source of the astrometry.
2015 09 17.87223 22 19 12.98 -12 59 52.7 23.1R 15SO21 Z79 C~1h5y 2015 09 17.92713 22 19 12.79 -12 59 54.7 23.0R 15SO21 Z79 C~1h5y 2015 09 19.89999 22 19 05.51 -13 00 42.9 23.0R 15SO21 Z79 C~1h5y 2015 09 19.90404 22 19 05.52 -13 00 42.9 22.9R 15SO21 Z79 C~1h5y 2015 09 19.95676 22 19 05.31 -13 00 43.7 22.9R 15SO21 Z79 C~1h5y 2015 09 19.96080 22 19 05.25 -13 00 43.5 23.3R 15SO21 Z79 C~1h5y 2015 09 20.00385 22 19 05.07 -13 00 44.5 23.0R 15SO21 Z79 C~1h5y 2015 09 20.00789 22 19 05.08 -13 00 44.5 22.8R 15SO21 Z79 C~1h5y 2015 09 20.85464 22 19 01.99 -13 01 05.5 23.3R 15SO21 Z79 C~1iHg 2015 09 21.00011 22 19 01.48 -13 01 08.9 23.0R 15SO21 Z79 C~1iHg
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 -0.09 0.00 0.32
2 0.0002 -3.31 -0.08 -0.87 -0.37
3 0.0056 -119.93 0.06 -7.51 -0.56
4 0.0056 -119.79 0.44 -7.56 -0.60
5 0.0057 -122.94 0.42 -7.20 -0.09
6 0.0057 -123.69 -0.08 -6.70 0.42
7 0.0058 -126.50 -0.34 -6.68 0.56
8 0.0058 -126.37 0.04 -6.74 0.52
9 0.0082 -176.06 -0.37 -10.07 -0.06
10 0.0086 -184.24 0.02 -10.55 -0.13
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.
15SO21 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