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: 15JD13 # Created Sun Feb 23 02:10:24 2025 # Orbit generated from Bernstein formalism # Fitting 12 observations of 12 # Arc: 55.86d # First observation: 2015/03/22 # Last observation: 2015/05/17 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.022952 0.000001 -0.011164 0.025100 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 1.29 DOF: 19 RMS: 0.06 # Min/Max residuals: -0.15 0.16 # Exact a, adot, b, bdot, g, gdot: 1.373321E-05 2.160210E-02 -6.354399E-06 -1.109848E-02 2.482016E-02 2.219365E-03 # Covariance matrix: 1.4200E-12 1.4715E-09 -4.9443E-14 -3.9744E-11 2.4167E-10 -1.3943E-09 1.4715E-09 2.3285E-06 -7.7781E-11 -6.2231E-08 3.8052E-07 -2.5341E-06 -4.9443E-14 -7.7781E-11 4.8796E-13 -1.0875E-12 -1.2901E-11 2.4640E-11 -3.9744E-11 -6.2231E-08 -1.0875E-12 1.8647E-09 -1.0519E-08 -4.2700E-08 2.4167E-10 3.8052E-07 -1.2901E-11 -1.0519E-08 6.2891E-08 -1.9060E-07 -1.3943E-09 -2.5341E-06 2.4640E-11 -4.2700E-08 -1.9060E-07 7.3555E-05 # lat0 lon0 xBary yBary zBary JD0 12.469811 -145.153236 0.546980 0.179141 -0.809544 2457104.071448 # Heliocentric elements and errors Epoch: 2457100.5000 = 2015/03/19 Mean Anomaly: 79.74212 +/- 53.240 Argument of Peri: 65.15754 +/- 55.531 Long of Asc Node: 56.64601 +/- 1.327 Inclination: 29.41885 +/- 1.378 Eccentricity: 0.08363624 +/- 0.3524 Semi-Major Axis: 41.43637589 +/- 3.5833 Time of Perihelion: 2435520.2555 +/- 14133.7 Perihelion: 37.97079337 +/- 14.9656 Aphelion: 44.90195841 +/- 15.1084 Period (y) 266.7355 +/- 34.60 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -33.28103043 +/- 0.3262 Ecliptic Y -22.50281034 +/- 0.2271 Ecliptic Z 8.69936988 +/- 0.0879 Ecliptic XDOT 0.00094504 +/- 0.0008 Ecliptic YDOT -0.00224901 +/- 0.0005 Ecliptic ZDOT -0.00114242 +/- 0.0002 # Distances at JD0 (AU) Heliocenter to KBO 41.10574772 +/- 0.2925 Geocenter to KBO 40.28983321 +/- 0.4071 # Hcoef: 8.62
The following table shows the complete astrometric record for 15JD13. 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 (15JD13) followed by the observatory code and reference code for the source of the astrometry.
2015 03 22.57067 14 26 53.18 -01 21 52.5 25.1i 15JD13 T09 C~8eSC 2015 03 22.58192 14 26 53.14 -01 21 52.1 24.6i 15JD13 T09 C~8eSC 2015 03 22.59572 14 26 53.09 -01 21 51.6 25.2i 15JD13 T09 C~8eSC 2015 05 15.409703 14 22 45.159 -01 04 00.51 24.6r 15JD13 568 C~2TuN 2015 05 15.431048 14 22 45.049 -01 04 00.27 24.7r 15JD13 568 C~2TuN 2015 05 15.446581 14 22 44.978 -01 04 00.09 24.5r 15JD13 568 C~2TuN 2015 05 15.448689 14 22 44.973 -01 04 00.02 24.4r 15JD13 568 C~2TuN 2015 05 15.461886 14 22 44.903 -01 03 59.96 24.3r 15JD13 568 C~2TuN 2015 05 15.463998 14 22 44.893 -01 03 59.89 24.5r 15JD13 568 C~2TuN 2015 05 17.348323 14 22 36.138 -01 03 39.43 25.0g 15JD13 568 C~2TuN 2015 05 17.367074 14 22 36.042 -01 03 39.20 25.0g 15JD13 568 C~2TuN 2015 05 17.433199 14 22 35.732 -01 03 38.44 25.3g 15JD13 568 C~2TuN
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 -0.15 2 0.0000 -0.70 0.01 0.18 -0.01 3 0.0001 -1.57 -0.01 0.41 0.16 4 0.1474 -3866.05 0.07 -202.13 0.02 5 0.1475 -3867.68 -0.05 -202.44 -0.02 6 0.1475 -3868.75 -0.01 -202.62 -0.00 7 0.1475 -3868.84 0.05 -202.58 0.07 8 0.1475 -3869.85 -0.02 -202.87 -0.05 9 0.1476 -3870.02 -0.04 -202.85 -0.01 10 0.1527 -4000.84 0.08 -226.44 -0.02 11 0.1528 -4002.28 -0.04 -226.70 -0.03 12 0.1529 -4006.92 -0.04 -227.50 0.05
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.
15JD13 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