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: 15GP50 # Created Fri Apr 26 01:17:08 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 1.05y # First observation: 2015/04/14 # Last observation: 2016/05/03 Preliminary a, adot, b, bdot, g, gdot: 0.000006 0.009098 -0.000003 0.003597 0.014813 0.000000 # Chi-squared of fit: 92.67 DOF: 20 RMS: 0.47 # Min/Max residuals: -0.97 0.71 # Exact a, adot, b, bdot, g, gdot: 7.535534E-06 9.095400E-03 3.678905E-06 3.594444E-03 1.487611E-02 -1.406892E-03 # Covariance matrix: 2.7307E-13 1.0193E-13 -1.6776E-14 1.6655E-13 4.9204E-13 4.2899E-11 1.0193E-13 3.5633E-12 -9.9732E-14 1.3240E-12 2.6742E-12 3.4089E-10 -1.6776E-14 -9.9732E-14 2.0650E-13 -2.7014E-13 -1.2285E-13 -1.2336E-11 1.6655E-13 1.3240E-12 -2.7014E-13 1.1546E-12 1.3125E-12 1.5416E-10 4.9204E-13 2.6742E-12 -1.2285E-13 1.3125E-12 3.5334E-12 3.3802E-10 4.2899E-11 3.4089E-10 -1.2336E-11 1.5416E-10 3.3802E-10 3.9693E-08 # lat0 lon0 xBary yBary zBary JD0 -11.398943 -163.710145 -0.128517 -0.195846 -0.972184 2457126.564148 # Heliocentric elements and errors Epoch: 2457120.5000 = 2015/04/08 Mean Anomaly: 217.16222 +/- 3.131 Argument of Peri: 128.99053 +/- 3.001 Long of Asc Node: 222.62712 +/- 0.005 Inclination: 24.19980 +/- 0.004 Eccentricity: 0.26949612 +/- 0.0058 Semi-Major Axis: 55.24649750 +/- 0.1977 Time of Perihelion: 2516631.3483 +/- 1264.7 Perihelion: 40.35778090 +/- 0.3532 Aphelion: 70.13521410 +/- 0.4085 Period (y) 410.6439 +/- 2.20 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -64.16948433 +/- 0.0080 Ecliptic Y -18.88534073 +/- 0.0023 Ecliptic Z -13.28545007 +/- 0.0017 Ecliptic XDOT 0.00058449 +/- 0.0000 Ecliptic YDOT -0.00157817 +/- 0.0000 Ecliptic ZDOT 0.00069974 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 68.19737529 +/- 0.0076 Geocenter to KBO 67.22187058 +/- 0.0085 # Hcoef: 6.47
The following table shows the complete astrometric record for 15GP50. 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 (15GP50) followed by the observatory code and reference code for the source of the astrometry.
2015 04 14.06337 12 41 49.664 -16 54 00.57 15GP50 807 C~1u6P 2015 04 14.14229 12 41 49.441 -16 53 59.01 15GP50 807 C~1u6P 2015 04 14.23919 12 41 49.150 -16 53 57.02 24.8r 15GP50 807 C~1u6P 2015 04 18.10410 12 41 37.864 -16 52 31.56 15GP50 304 C~1u6P 2015 04 18.26960 12 41 37.374 -16 52 27.81 24.6r 15GP50 304 C~1u6P 2015 04 19.28146 12 41 34.559 -16 52 04.79 15GP50 304 C~1u6P 2015 06 16.03089 12 39 45.834 -16 32 01.45 24.7r 15GP50 I11 C~1u6P 2015 06 17.98910 12 39 44.820 -16 31 31.17 15GP50 I11 C~1u6P 2016 03 08.33318 12 45 56.138 -17 05 59.41 15GP50 304 C~1u6P 2016 03 08.38582 12 45 56.027 -17 05 58.83 15GP50 304 C~1u6P 2016 03 09.38467 12 45 53.280 -17 05 45.30 15GP50 304 C~1u6P 2016 05 03.03958 12 43 16.369 -16 47 47.81 24.8r 15GP50 304 C~1u6P 2016 05 03.11111 12 43 16.218 -16 47 46.11 15GP50 304 C~1u6P
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 0.44 0.00 0.03
2 0.0002 -3.56 0.65 0.15 -0.04
3 0.0005 -8.18 0.66 0.31 -0.17
4 0.0111 -190.82 -0.83 14.01 -0.23
5 0.0115 -198.76 -0.97 14.64 -0.20
6 0.0143 -245.00 -0.19 19.61 0.71
7 0.1724 -2158.29 0.08 496.88 0.01
8 0.1778 -2183.80 0.17 518.77 -0.42
9 0.9015 3531.03 -0.12 742.55 0.58
10 0.9016 3529.34 0.37 742.46 0.65
11 0.9044 3487.80 -0.15 739.36 0.47
12 1.0540 993.38 -0.25 837.60 -0.82
13 1.0542 990.72 0.14 838.30 -0.56
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.
15GP50 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 54.803 55.495 54.354 ecceobj 0.279 0.299 0.266 incobj 24.323 24.328 24.317 qmin 39.078 38.565 39.445 qmax 71.804 73.922 70.514 amean 55.081 55.821 54.653 amin 54.516 55.223 54.141 amax 55.735 56.536 55.283 emean 0.272 0.290 0.261 emin 0.256 0.273 0.246 emax 0.289 0.308 0.276 imean 25.094 25.188 25.008 imin 24.675 24.742 24.648 imax 25.560 25.719 25.441 excite_mean 0.504 0.515 0.497 fracstop 1.000 1.000 1.000 cjmean 2.904 2.897 2.908 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 203.7 199.8 199.2 kozaiamp 180.0 179.9 180.0