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: 15GQ50 # Created Fri Nov 22 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 14 observations of 15 # Arc: 4.15y # First observation: 2015/04/13 # Last observation: 2019/06/06 Preliminary a, adot, b, bdot, g, gdot: 0.000014 0.014674 -0.000002 -0.002982 0.018975 0.000000 # Chi-squared of fit: 16.33 DOF: 22 RMS: 0.19 # Min/Max residuals: -0.39 0.38 # Exact a, adot, b, bdot, g, gdot: 1.151869E-05 1.480043E-02 -3.105646E-06 -3.008572E-03 1.911459E-02 9.566993E-04 # Covariance matrix: 2.2922E-13 -5.6806E-13 -2.1996E-14 1.4544E-13 1.3821E-13 -1.1836E-11 -5.6806E-13 3.8515E-12 1.5264E-13 -1.0245E-12 -2.6232E-13 8.3252E-11 -2.1996E-14 1.5264E-13 1.4285E-13 -8.1925E-14 -1.4753E-14 3.3572E-12 1.4544E-13 -1.0245E-12 -8.1925E-14 3.3023E-13 8.7491E-14 -2.2501E-11 1.3821E-13 -2.6232E-13 -1.4753E-14 8.7491E-14 5.5522E-13 -7.1993E-12 -1.1836E-11 8.3252E-11 3.3572E-12 -2.2501E-11 -7.1993E-12 1.8288E-09 # lat0 lon0 xBary yBary zBary JD0 -1.168581 -154.442714 0.048865 -0.020210 -0.998327 2457125.629458 # Heliocentric elements and errors Epoch: 2457120.5000 = 2015/04/08 Mean Anomaly: 153.27687 +/- 0.837 Argument of Peri: 25.37328 +/- 0.824 Long of Asc Node: 19.86833 +/- 0.001 Inclination: 11.52250 +/- 0.001 Eccentricity: 0.16315720 +/- 0.0006 Semi-Major Axis: 46.35735572 +/- 0.0236 Time of Perihelion: 2408035.3028 +/- 265.5 Perihelion: 38.79381924 +/- 0.0332 Aphelion: 53.92089221 +/- 0.0383 Period (y) 315.6357 +/- 0.24 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -48.11220385 +/- 0.0018 Ecliptic Y -22.95210405 +/- 0.0009 Ecliptic Z -1.06711210 +/- 0.0000 Ecliptic XDOT 0.00079570 +/- 0.0000 Ecliptic YDOT -0.00197375 +/- 0.0000 Ecliptic ZDOT -0.00043355 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 53.31718267 +/- 0.0017 Geocenter to KBO 52.31606010 +/- 0.0020 # Hcoef: 7.02
The following table shows the complete astrometric record for 15GQ50. 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 (15GQ50) followed by the observatory code and reference code for the source of the astrometry.
2015 04 13.12868 13 33 01.336 -10 58 09.26 24.0r 15GQ50 807 C~1x8u 2015 04 13.21692 13 33 00.997 -10 58 07.35 15GQ50 807 C~1x8u 2015 04 13.31061 13 33 00.648 -10 58 05.84 15GQ50 807 C~1x8u 2015 04 18.11049 13 32 42.457 -10 56 29.61 15GQ50 304 C~1x8u 2015 04 18.27813 13 32 41.795 -10 56 26.07 23.9r 15GQ50 304 C~1x8u 2015 04 19.29706 13 32 37.943 -10 56 05.64 15GQ50 304 C~1x8u 2015 05 22.09990 13 30 44.158 -10 45 49.88 15GQ50 304 C~1x8u 2015 05 22.16487 13 30 43.960 -10 45 48.91 15GQ50 304 C~1x8u 2015 05 23.08627 13 30 41.263 -10 45 33.93 15GQ50 304 C~1x8u 2015 07 21.00164 13 29 30.491 -10 39 12.97 15GQ50 304 C~1x8u 2015 07 21.06054 13 29 30.458 -10 39 13.22 15GQ50 304 C~1x8u 2016 03 08.36395 13 38 00.121 -11 36 25.26 15GQ50 304 C~1x8u 2016 03 09.36409 13 37 57.205 -11 36 11.30 15GQ50 304 C~1x8u 2019 06 06.197260 13 41 53.992 -12 33 53.34 24.5G 15GQ50 G37 C~36q7 2019 06 06.268240 13 41 53.828 -12 33 52.10 15GQ50 G37 C~36q7
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 0.15 0.00 0.13
2 0.0002 -5.34 0.09 -0.05 0.27
3 0.0005 -10.68 0.38 -0.52 -0.01
4 0.0136 -295.21 -0.09 -8.91 -0.13
5 0.0141 -305.58 -0.39 -9.18 -0.07
6 0.0169 -365.85 -0.36 -10.92 -0.11
7 0.1067 -2151.23 0.08 -52.48 -0.03
8 0.1069 -2154.30 0.08 -52.65 -0.12
9 0.1094 -2196.77 -0.01 -53.32 0.03
10 0.2707 -3307.07 ( 1.06) -82.68 ( 0.18)
11 0.2709 -3307.43 0.02 -83.09 -0.20
12 0.9041 4929.99 0.38 -541.05 0.06
13 0.9069 4884.97 -0.32 -543.53 0.24
14 4.1480 9377.27 -0.02 -2525.52 -0.18
15 4.1482 9374.58 0.00 -2525.22 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.
15GQ50 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.965 46.036 45.898 ecceobj 0.172 0.173 0.171 incobj 11.591 11.593 11.590 qmin 37.654 37.682 37.629 qmax 55.232 55.345 55.158 amean 46.230 46.295 46.186 amin 45.828 45.912 45.771 amax 46.707 46.751 46.660 emean 0.168 0.169 0.168 emin 0.155 0.155 0.153 emax 0.184 0.184 0.183 imean 11.081 11.098 11.069 imin 10.519 10.529 10.507 imax 11.636 11.638 11.635 excite_mean 0.255 0.256 0.255 fracstop 1.000 1.000 1.000 cjmean 3.049 3.049 3.048 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 175.1 175.0 175.9 kozaiamp 180.0 180.0 180.0