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: 15SP21 # Created Wed Nov 27 02:10:26 2024 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 2.06d # First observation: 2015/09/18 # Last observation: 2015/09/20 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 10.72 DOF: 32 RMS: 0.14 # Min/Max residuals: -0.24 0.28 # Exact a, adot, b, bdot, g, gdot: 1.421826E-05 2.627547E-02 9.067664E-06 1.641615E-02 2.910800E-02 0.000000E+00 # Covariance matrix: 6.6680E-11 1.2201E-07 2.0330E-12 2.3703E-09 1.9561E-08 0.0000E+00 1.2201E-07 2.2471E-04 3.7410E-09 4.3614E-06 3.5992E-05 0.0000E+00 2.0330E-12 3.7410E-09 3.8267E-13 -1.5959E-11 5.9929E-10 0.0000E+00 2.3703E-09 4.3614E-06 -1.5959E-11 1.1752E-07 6.9868E-07 0.0000E+00 1.9561E-08 3.5992E-05 5.9929E-10 6.9868E-07 5.7658E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 3.2453E-04 # lat0 lon0 xBary yBary zBary JD0 -15.984811 1.597632 0.106802 -0.275992 -0.963935 2457284.423789 # Heliocentric elements and errors Epoch: 2457280.5000 = 2015/09/15 Mean Anomaly: 5.41060 +/- 202.463 Argument of Peri: 326.78458 +/- 268.756 Long of Asc Node: 24.61739 +/- 11.451 Inclination: 35.21386 +/- 12.667 Eccentricity: 0.00960737 +/- 0.5915 Semi-Major Axis: 35.65747941 +/- 18.4467 Time of Perihelion: 2456111.6276 +/- 743688.2 Perihelion: 35.31490471 +/- 27.9044 Aphelion: 36.00005411 +/- 28.1378 Period (y) 212.9287 +/- 165.23 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.01537278 +/- 2.7234 Ecliptic Y 0.84176812 +/- 0.0757 Ecliptic Z -9.46038991 +/- 0.7804 Ecliptic XDOT 0.00035435 +/- 0.0016 Ecliptic YDOT 0.00247587 +/- 0.0012 Ecliptic ZDOT 0.00148443 +/- 0.0005 # Distances at JD0 (AU) Heliocenter to KBO 35.31647118 +/- 2.6314 Geocenter to KBO 34.35481706 +/- 2.8340 # Hcoef: 7.81
The following table shows the complete astrometric record for 15SP21. 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 (15SP21) followed by the observatory code and reference code for the source of the astrometry.
2015 09 18.92300 00 31 47.05 -14 00 16.0 22.8R 15SP21 Z79 C~1jm4 2015 09 18.94410 00 31 46.93 -14 00 16.6 22.9R 15SP21 Z79 C~1jm4 2015 09 19.92260 00 31 41.35 -14 00 45.7 22.8R 15SP21 Z79 C~1iHg 2015 09 19.92663 00 31 41.33 -14 00 45.9 23.0R 15SP21 Z79 C~1iHg 2015 09 19.93478 00 31 41.28 -14 00 46.0 22.8R 15SP21 Z79 C~1iHg 2015 09 19.97789 00 31 41.04 -14 00 46.9 23.0R 15SP21 Z79 C~1h5y 2015 09 19.98193 00 31 41.02 -14 00 47.2 22.8R 15SP21 Z79 C~1h5y 2015 09 19.98596 00 31 40.99 -14 00 47.5 22.9R 15SP21 Z79 C~1h5y 2015 09 20.03563 00 31 40.69 -14 00 48.9 22.9R 15SP21 Z79 C~1h5y 2015 09 20.03965 00 31 40.70 -14 00 48.9 22.7R 15SP21 Z79 C~1h5y 2015 09 20.04369 00 31 40.64 -14 00 49.1 22.9R 15SP21 Z79 C~1h5y 2015 09 20.08605 00 31 40.43 -14 00 50.2 22.9R 15SP21 Z79 C~1h5y 2015 09 20.09008 00 31 40.40 -14 00 50.5 23.2R 15SP21 Z79 C~1h5y 2015 09 20.09411 00 31 40.38 -14 00 50.6 22.8R 15SP21 Z79 C~1h5y 2015 09 20.97663 00 31 35.33 -14 01 16.4 23.1R 15SP21 Z79 C~1h5y 2015 09 20.97878 00 31 35.32 -14 01 16.4 23.1R 15SP21 Z79 C~1h5y 2015 09 20.98066 00 31 35.30 -14 01 16.6 23.1R 15SP21 Z79 C~1h5y 2015 09 20.98523 00 31 35.29 -14 01 16.4 23.0R 15SP21 Z79 C~1h5y
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 0.01 0.00 -0.03
2 0.0001 -1.84 0.04 0.17 -0.01
3 0.0027 -87.84 -0.19 6.90 -0.08
4 0.0027 -88.19 -0.18 6.84 -0.17
5 0.0028 -88.90 -0.16 7.04 -0.02
6 0.0029 -92.45 0.11 7.65 0.26
7 0.0029 -92.84 0.09 7.50 0.08
8 0.0029 -93.36 -0.08 7.40 -0.05
9 0.0030 -97.92 -0.22 7.92 0.08
10 0.0031 -97.78 0.27 7.86 -0.01
11 0.0031 -98.66 -0.24 8.03 0.13
12 0.0032 -101.90 0.28 8.28 0.05
13 0.0032 -102.42 0.12 8.19 -0.08
14 0.0032 -102.73 0.17 8.21 -0.08
15 0.0056 -180.34 -0.05 14.79 -0.06
16 0.0056 -180.47 0.01 14.85 -0.02
17 0.0056 -180.82 -0.17 14.78 -0.09
18 0.0056 -180.87 0.19 15.02 0.11
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.
15SP21 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