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: 15TJ367 # Created Tue Apr 1 01:10:36 2025 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 1.06y # First observation: 2015/10/13 # Last observation: 2016/11/03 Preliminary a, adot, b, bdot, g, gdot: -0.000006 0.006801 -0.000001 -0.003775 0.013091 0.000000 # Chi-squared of fit: 17.19 DOF: 16 RMS: 0.22 # Min/Max residuals: -0.57 0.47 # Exact a, adot, b, bdot, g, gdot: 8.840754E-06 6.839245E-03 -5.050875E-06 -3.798996E-03 1.314297E-02 5.625253E-03 # Covariance matrix: 4.9058E-13 -1.1481E-13 1.1132E-14 -2.2493E-13 6.0989E-13 5.6960E-11 -1.1481E-13 2.5792E-12 6.3153E-14 -1.2878E-12 1.4974E-12 3.2614E-10 1.1132E-14 6.3153E-14 3.3385E-13 -3.9145E-13 6.0105E-14 1.0989E-11 -2.2493E-13 -1.2878E-12 -3.9145E-13 1.4981E-12 -1.2188E-12 -2.2379E-10 6.0989E-13 1.4974E-12 6.0105E-14 -1.2188E-12 2.5648E-12 3.0866E-10 5.6960E-11 3.2614E-10 1.0989E-11 -2.2379E-10 3.0866E-10 5.6676E-08 # lat0 lon0 xBary yBary zBary JD0 0.482984 42.287239 0.387594 0.007953 -0.923532 2457308.925879 # Heliocentric elements and errors Epoch: 2457300.5000 = 2015/10/05 Mean Anomaly: 52.65040 +/- 2.780 Argument of Peri: 57.03003 +/- 1.125 Long of Asc Node: 222.86075 +/- 0.000 Inclination: 29.01030 +/- 0.007 Eccentricity: 0.58022947 +/- 0.0177 Semi-Major Axis: 80.40984155 +/- 2.5184 Time of Perihelion: 2418782.7039 +/- 928.9 Perihelion: 33.75368193 +/- 1.7751 Aphelion: 127.06600116 +/- 4.2274 Period (y) 721.0610 +/- 33.88 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 57.22514629 +/- 0.0069 Ecliptic Y 51.52700397 +/- 0.0062 Ecliptic Z 0.64098022 +/- 0.0001 Ecliptic XDOT -0.00008844 +/- 0.0000 Ecliptic YDOT 0.00184032 +/- 0.0000 Ecliptic ZDOT -0.00078143 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 77.00753445 +/- 0.0066 Geocenter to KBO 76.08631088 +/- 0.0093 # Hcoef: 6.60
The following table shows the complete astrometric record for 15TJ367. 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 (15TJ367) followed by the observatory code and reference code for the source of the astrometry.
2015 10 13.42509 02 38 45.739 +15 59 02.19 25.4r 15TJ367 568 C~2ZsR 2015 10 13.57047 02 38 45.370 +15 59 00.21 25.3r 15TJ367 568 C~2ZsR 2015 10 13.61806 02 38 45.241 +15 58 59.73 25.5r 15TJ367 568 C~2ZsR 2015 12 09.10667 02 36 15.240 +15 45 10.39 25.3r 15TJ367 304 C~2ZsR 2015 12 09.18207 02 36 15.072 +15 45 08.88 15TJ367 304 C~2ZsR 2016 09 27.25783 02 41 10.830 +15 57 05.74 15TJ367 304 C~2ZsR 2016 09 27.31337 02 41 10.715 +15 57 05.94 15TJ367 304 C~2ZsR 2016 09 28.24525 02 41 08.703 +15 56 54.51 15TJ367 304 C~2ZsR 2016 10 01.30819 02 41 01.950 +15 56 16.45 15TJ367 304 C~2ZsR 2016 11 02.19930 02 39 39.108 +15 48 46.17 15TJ367 304 C~2ZsR 2016 11 03.15098 02 39 36.457 +15 48 31.82 15TJ367 304 C~2ZsR
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 -0.13 0.00 0.10 2 0.0004 -5.67 0.05 -0.26 0.11 3 0.0005 -7.59 0.04 -0.14 0.31 4 0.1552 -2322.12 0.07 -123.71 -0.05 5 0.1554 -2324.90 -0.04 -124.39 -0.57 6 0.9578 1957.47 -0.11 -748.53 -0.32 7 0.9579 1955.95 0.23 -747.84 0.47 8 0.9605 1924.82 -0.07 -749.93 0.25 9 0.9689 1820.46 0.01 -756.63 -0.38 10 1.0562 544.83 -0.05 -821.84 0.02 11 1.0588 504.02 -0.01 -823.83 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.
15TJ367 quality flag:1 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 81.620 90.601 75.040 ecceobj 0.581 0.635 0.530 incobj 28.808 28.800 28.816 qmin 31.900 31.420 33.144 qmax 132.265 154.145 117.997 amean 80.716 90.138 74.456 amin 79.176 87.580 73.343 amax 83.300 93.551 76.035 emean 0.580 0.631 0.534 emin 0.562 0.606 0.516 emax 0.602 0.650 0.555 imean 29.720 30.133 29.428 imin 28.094 28.783 28.418 imax 30.921 31.692 30.493 excite_mean 0.763 0.806 0.726 fracstop 1.000 1.000 1.000 cjmean 2.689 2.655 2.720 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 147.5 155.9 172.0 kozaiamp 104.8 96.1 122.2