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: 15GP56 # Created Fri Nov 22 02:10:20 2024 # Orbit generated from Bernstein formalism # Fitting 32 observations of 33 # Arc: 2.25y # First observation: 2015/02/17 # Last observation: 2017/05/18 Preliminary a, adot, b, bdot, g, gdot: -0.000214 0.025302 0.000000 0.014732 0.027105 0.000000 # Chi-squared of fit: 11.63 DOF: 58 RMS: 0.11 # Min/Max residuals: -0.29 0.35 # Exact a, adot, b, bdot, g, gdot: 1.515104E-05 2.523674E-02 7.621880E-06 1.472928E-02 2.726471E-02 4.504658E-03 # Covariance matrix: 1.6783E-13 -5.4075E-14 -4.5678E-15 2.1702E-14 1.1313E-13 7.8669E-13 -5.4075E-14 4.7310E-13 -7.3118E-14 3.5723E-13 1.7403E-13 1.2697E-11 -4.5678E-15 -7.3118E-14 9.8745E-14 -1.4852E-13 -3.8797E-14 -2.7523E-12 2.1702E-14 3.5723E-13 -1.4852E-13 5.1388E-13 1.8879E-13 1.3446E-11 1.1313E-13 1.7403E-13 -3.8797E-14 1.8879E-13 2.1926E-13 6.7292E-12 7.8669E-13 1.2697E-11 -2.7523E-12 1.3446E-11 6.7292E-12 4.7794E-10 # lat0 lon0 xBary yBary zBary JD0 0.338333 -155.728220 0.817362 0.003397 -0.550183 2457070.994728 # Heliocentric elements and errors Epoch: 2457070.5000 = 2015/02/17 Mean Anomaly: 42.43207 +/- 0.062 Argument of Peri: 302.32399 +/- 0.125 Long of Asc Node: 202.43780 +/- 0.000 Inclination: 30.15263 +/- 0.001 Eccentricity: 0.17504749 +/- 0.0007 Semi-Major Axis: 41.94588519 +/- 0.0129 Time of Perihelion: 2445374.8550 +/- 16.2 Perihelion: 34.60336332 +/- 0.0321 Aphelion: 49.28840706 +/- 0.0339 Period (y) 271.6704 +/- 0.13 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -34.27513831 +/- 0.0006 Ecliptic Y -14.55752995 +/- 0.0003 Ecliptic Z 0.21685275 +/- 0.0000 Ecliptic XDOT 0.00063368 +/- 0.0000 Ecliptic YDOT -0.00249812 +/- 0.0000 Ecliptic ZDOT 0.00148181 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.23914351 +/- 0.0005 Geocenter to KBO 36.67745241 +/- 0.0006 # Hcoef: 8.94
The following table shows the complete astrometric record for 15GP56. 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 (15GP56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.49395 13 30 24.375 -09 05 46.17 24.5r 15GP56 568 C~2nvS 2015 02 17.53521 13 30 24.273 -09 05 45.62 24.6r 15GP56 568 C~2nvS 2015 02 20.46602 13 30 17.253 -09 04 36.63 25.1r 15GP56 568 C~2nvS 2015 03 18.46248 13 28 45.814 -08 51 35.48 24.8r 15GP56 568 C~2nvS 2015 03 18.51370 13 28 45.578 -08 51 33.83 24.6r 15GP56 568 C~2nvS 2015 03 20.51543 13 28 36.788 -08 50 23.36 24.4r 15GP56 568 C~2nvS 2015 04 12.35890 13 26 47.213 -08 36 07.74 24.6r 15GP56 568 C~2nvS 2015 04 12.39986 13 26 47.007 -08 36 05.90 24.7r 15GP56 568 C~2nvS 2015 04 12.44683 13 26 46.772 -08 36 04.26 24.3r 15GP56 568 C~2nvS 2015 04 14.45679 13 26 36.712 -08 34 46.43 24.8r 15GP56 568 C~2nvS 2015 04 16.39466 13 26 27.051 -08 33 31.86 24.5r 15GP56 568 C~2nvS 2015 04 16.40115 13 26 27.016 -08 33 31.30 24.7r 15GP56 568 C~2nvS 2015 04 18.41739 13 26 16.949 -08 32 14.21 24.1r 15GP56 568 C~2nvS 2015 04 18.46519 13 26 16.712 -08 32 12.32 23.9r 15GP56 568 C~2nvS 2015 05 16.26178 13 24 08.489 -08 15 29.73 23.9r 15GP56 568 C~2nvS 2015 05 25.36747 13 23 34.283 -08 10 50.16 24.6r 15GP56 568 C~2nvS 2015 05 25.40947 13 23 34.140 -08 10 48.83 25.2r 15GP56 568 C~2nvS 2015 05 25.42508 13 23 34.077 -08 10 48.23 25.0r 15GP56 568 C~2nvS 2015 06 21.31770 13 22 29.792 -08 00 48.08 24.6r 15GP56 568 C~2nvS 2015 06 22.27415 13 22 28.672 -08 00 33.82 24.6r 15GP56 568 C~2nvS 2015 07 12.26825 13 22 25.261 -07 57 38.62 24.8r 15GP56 568 C~2nvS 2015 07 15.25837 13 22 28.113 -07 57 32.54 25.5r 15GP56 568 C~2nvS 2015 07 19.25818 13 22 33.298 -07 57 32.59 24.9r 15GP56 568 C~2nvS 2016 02 04.57138 13 37 24.640 -08 54 40.20 25.6w 15GP56 568 C~2nvS 2016 02 04.59812 13 37 24.615 -08 54 39.85 24.9w 15GP56 568 C~2nvS 2016 02 10.55937 13 37 17.924 -08 52 57.08 25.0w 15GP56 568 C~2nvS 2016 02 10.61712 13 37 17.835 -08 52 55.90 24.3w 15GP56 568 C~2nvS 2016 03 11.56702 13 35 55.540 -08 39 45.55 24.3w 15GP56 568 C~2nvS 2016 04 09.43859 13 33 44.192 -08 22 22.36 24.5w 15GP56 568 C~2nvS 2016 05 02.31122 13 31 51.943 -08 08 08.26 15GP56 568 C~2nvS 2016 05 06.32100 13 31 33.377 -08 05 47.09 24.8w 15GP56 568 C~2nvS 2017 03 29.47339 13 41 20.711 -08 13 55.36 15GP56 568 C~2nvS 2017 05 18.26658 13 37 24.561 -07 44 17.38 24.8w 15GP56 568 C~2nvS
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 0.19 2 0.0001 -1.61 -0.03 -0.04 -0.19 3 0.0081 -123.66 0.07 25.94 -0.03 4 0.0793 -1670.85 -0.03 254.05 0.04 5 0.0795 -1674.71 -0.10 254.29 -0.13 6 0.0849 -1821.80 -0.09 271.82 -0.02 7 0.1475 -3647.82 0.18 467.75 -0.29 8 0.1476 -3651.34 0.11 468.33 -0.03 9 0.1477 -3655.18 0.23 468.57 -0.17 10 0.1532 -3822.64 -0.12 485.75 0.07 11 0.1585 -3983.42 0.08 502.08 0.07 12 0.1585 -3984.11 -0.06 502.41 0.35 13 0.1641 -4151.42 -0.09 518.83 -0.11 14 0.1642 -4155.39 -0.04 519.28 -0.03 15 0.2403 -6295.55 0.17 745.87 0.04 16 0.2652 -6871.46 0.05 817.01 -0.08 17 0.2653 -6873.93 0.08 817.46 0.06 18 0.2654 -6875.02 -0.08 817.67 0.16 19 0.3390 -7985.83 -0.00 1020.19 -0.01 20 0.3416 -8006.61 -0.01 1027.25 0.02 21 0.3964 -8119.01 -0.11 1171.15 -0.08 22 0.4046 -8081.89 -0.10 1192.57 0.13 23 0.4155 -8010.27 ( -0.19) 1221.19 ( 0.48) 24 0.9639 5555.35 -0.01 2893.51 -0.01 25 0.9640 5554.88 0.01 2893.70 -0.07 26 0.9803 5425.09 0.08 2953.50 0.06 27 0.9805 5423.44 0.03 2954.12 0.13 28 1.0625 3998.81 -0.12 3247.12 0.09 29 1.1415 1803.42 0.05 3508.21 -0.02 30 1.2042 -60.13 -0.03 3693.65 -0.03 31 1.2151 -368.44 -0.06 3723.98 -0.05 32 2.1108 7940.24 -0.03 6443.89 -0.05 33 2.2472 4021.46 0.06 6830.95 -0.01
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.
15GP56 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.588 41.629 41.547 ecceobj 0.169 0.171 0.167 incobj 30.264 30.264 30.264 qmin 33.956 33.802 34.051 qmax 50.009 50.210 49.789 amean 41.771 41.811 41.737 amin 41.414 41.460 41.384 amax 42.182 42.216 42.118 emean 0.165 0.166 0.163 emin 0.146 0.149 0.145 emax 0.186 0.190 0.182 imean 30.640 30.669 30.629 imin 30.169 30.093 30.161 imax 31.062 31.149 31.063 excite_mean 0.536 0.536 0.535 fracstop 1.000 1.000 1.000 cjmean 2.720 2.720 2.721 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 177.1 171.4 175.3 kozaiamp 180.0 180.0 179.9