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: 15GF59 # Created Sun Nov 24 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 28 observations of 28 # Arc: 1.38y # First observation: 2015/02/17 # Last observation: 2016/07/07 Preliminary a, adot, b, bdot, g, gdot: -0.000108 0.025482 0.000003 -0.000767 0.024946 0.000000 # Chi-squared of fit: 4.95 DOF: 50 RMS: 0.07 # Min/Max residuals: -0.14 0.28 # Exact a, adot, b, bdot, g, gdot: 1.551687E-05 2.541086E-02 -9.624993E-07 -7.629889E-04 2.501614E-02 -4.539683E-04 # Covariance matrix: 2.9500E-13 1.1462E-13 -2.3572E-16 -1.4226E-14 3.5404E-13 1.6590E-11 1.1462E-13 5.3554E-13 2.5808E-16 -2.3366E-14 4.8560E-13 2.6989E-11 -2.3572E-16 2.5808E-16 1.1725E-13 -1.1434E-13 -5.9485E-17 5.5657E-14 -1.4226E-14 -2.3366E-14 -1.1434E-13 2.0185E-13 -3.2017E-14 -2.0257E-12 3.5404E-13 4.8560E-13 -5.9485E-17 -3.2017E-14 7.2680E-13 3.7148E-11 1.6590E-11 2.6989E-11 5.5657E-14 -2.0257E-12 3.7148E-11 2.3263E-09 # lat0 lon0 xBary yBary zBary JD0 1.828898 -152.754459 0.843840 0.016372 -0.508397 2457071.101558 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 331.62877 +/- 1.147 Argument of Peri: 165.60734 +/- 1.362 Long of Asc Node: 73.03959 +/- 0.017 Inclination: 2.46820 +/- 0.001 Eccentricity: 0.07204794 +/- 0.0011 Semi-Major Axis: 43.17512966 +/- 0.0071 Time of Perihelion: 2465236.7868 +/- 330.3 Perihelion: 40.06445066 +/- 0.0461 Aphelion: 46.28580866 +/- 0.0463 Period (y) 283.6996 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -36.36234194 +/- 0.0012 Ecliptic Y -17.77365438 +/- 0.0006 Ecliptic Z 1.27573638 +/- 0.0000 Ecliptic XDOT 0.00131131 +/- 0.0000 Ecliptic YDOT -0.00245656 +/- 0.0000 Ecliptic ZDOT -0.00008495 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.49382921 +/- 0.0011 Geocenter to KBO 39.97419217 +/- 0.0014 # Hcoef: 7.99
The following table shows the complete astrometric record for 15GF59. 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 (15GF59) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.60078 13 43 48.864 -08 47 06.64 24.1r 15GF59 568 C~2nvc 2015 02 17.64179 13 43 48.773 -08 47 06.17 24.3r 15GF59 568 C~2nvc 2015 02 20.63493 13 43 42.643 -08 46 24.97 24.2r 15GF59 568 C~2nvc 2015 03 18.57924 13 42 21.349 -08 37 59.77 24.1r 15GF59 568 C~2nvc 2015 03 18.62665 13 42 21.162 -08 37 58.62 24.2r 15GF59 568 C~2nvc 2015 03 20.58351 13 42 13.332 -08 37 11.89 23.8r 15GF59 568 C~2nvc 2015 04 11.51839 13 40 35.970 -08 27 45.39 24.0r 15GF59 568 C~2nvc 2015 04 13.38199 13 40 27.228 -08 26 55.36 24.1r 15GF59 568 C~2nvc 2015 04 13.44320 13 40 26.928 -08 26 53.77 24.1r 15GF59 568 C~2nvc 2015 04 13.52553 13 40 26.537 -08 26 51.59 24.0r 15GF59 568 C~2nvc 2015 04 19.49336 13 39 58.350 -08 24 12.30 23.8r 15GF59 568 C~2nvc 2015 04 19.54045 13 39 58.151 -08 24 11.06 23.8r 15GF59 568 C~2nvc 2015 06 20.29539 13 36 15.386 -08 04 50.08 24.2r 15GF59 568 C~2nvc 2015 06 20.33619 13 36 15.312 -08 04 49.85 24.0r 15GF59 568 C~2nvc 2015 06 22.34024 13 36 12.169 -08 04 37.76 23.8r 15GF59 568 C~2nvc 2015 07 14.29246 13 36 00.694 -08 04 42.83 24.1r 15GF59 568 C~2nvc 2015 07 20.28549 13 36 05.097 -08 05 28.43 24.3r 15GF59 568 C~2nvc 2016 02 04.62240 13 49 32.311 -09 22 43.30 24.5w 15GF59 568 C~2nvc 2016 02 11.60562 13 49 25.969 -09 21 51.66 24.2w 15GF59 568 C~2nvc 2016 03 11.61299 13 48 14.759 -09 14 18.23 23.7w 15GF59 568 C~2nvc 2016 04 03.48172 13 46 40.809 -09 05 10.09 24.2w 15GF59 568 C~2nvc 2016 04 09.46287 13 46 13.178 -09 02 33.36 24.3w 15GF59 568 C~2nvc 2016 05 02.35180 13 44 25.753 -08 52 39.27 24.3w 15GF59 568 C~2nvc 2016 05 07.35515 13 44 03.242 -08 50 38.17 23.5w 15GF59 568 C~2nvc 2016 05 29.33555 13 42 36.543 -08 43 07.54 24.5w 15GF59 568 C~2nvc 2016 06 04.39796 13 42 17.392 -08 41 33.42 24.1w 15GF59 568 C~2nvc 2016 06 27.32960 13 41 29.931 -08 38 09.08 24.7w 15GF59 568 C~2nvc 2016 07 07.31994 13 41 23.108 -08 38 02.03 24.5w 15GF59 568 C~2nvc
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 0.11 0.00 0.10 2 0.0001 -1.43 0.01 -0.04 -0.01 3 0.0083 -101.03 0.01 5.91 -0.04 4 0.0793 -1407.40 -0.13 45.64 -0.11 5 0.0795 -1410.40 -0.09 45.72 -0.06 6 0.0848 -1535.57 -0.07 47.68 -0.06 7 0.1449 -3087.10 -0.03 57.41 -0.10 8 0.1500 -3226.15 0.03 57.42 0.08 9 0.1502 -3230.88 -0.04 57.30 0.01 10 0.1504 -3237.08 0.02 57.24 0.00 11 0.1667 -3684.75 -0.10 55.27 -0.00 12 0.1668 -3687.95 0.28 55.36 0.13 13 0.3359 -7193.51 -0.03 -56.84 0.01 14 0.3360 -7194.62 -0.06 -57.03 -0.04 15 0.3415 -7242.56 -0.02 -62.68 0.05 16 0.4016 -7399.75 0.14 -129.21 0.09 17 0.4180 -7322.18 -0.05 -148.02 -0.03 18 0.9638 5515.79 0.09 -185.59 0.08 19 0.9829 5409.65 0.01 -170.53 -0.01 20 1.0623 4262.62 -0.14 -120.36 -0.04 21 1.1249 2766.93 0.07 -102.65 -0.03 22 1.1413 2328.59 -0.04 -101.97 -0.03 23 1.2040 629.58 0.04 -115.07 0.05 24 1.2177 274.70 0.05 -121.28 0.03 25 1.2779 -1086.69 -0.04 -160.84 -0.01 26 1.2944 -1385.52 -0.07 -174.84 0.07 27 1.3572 -2115.81 0.01 -236.81 -0.07 28 1.3846 -2212.78 0.04 -266.59 -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.
15GF59 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.766 42.777 42.757 ecceobj 0.066 0.068 0.064 incobj 2.470 2.470 2.470 qmin 39.538 39.472 39.618 qmax 46.783 46.888 46.686 amean 43.056 43.067 43.046 amin 42.721 42.728 42.716 amax 43.412 43.425 43.387 emean 0.058 0.060 0.056 emin 0.037 0.039 0.035 emax 0.078 0.080 0.076 imean 0.981 0.987 0.979 imin 0.501 0.517 0.491 imax 1.477 1.477 1.476 excite_mean 0.060 0.062 0.059 fracstop 1.000 1.000 1.000 cjmean 3.086 3.086 3.086 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 203.5 198.1 203.2 kozaiamp 180.0 180.0 179.7