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: 15GS50 # Created Sun Dec 22 02:10:19 2024 # Orbit generated from Bernstein formalism # Fitting 18 observations of 18 # Arc: 2.99y # First observation: 2015/04/13 # Last observation: 2018/04/10 Preliminary a, adot, b, bdot, g, gdot: -0.000044 0.014433 0.000000 -0.000088 0.018438 0.000000 # Chi-squared of fit: 11.43 DOF: 30 RMS: 0.14 # Min/Max residuals: -0.36 0.27 # Exact a, adot, b, bdot, g, gdot: 1.251273E-05 1.429036E-02 -6.334344E-09 -8.710590E-05 1.859184E-02 -2.941441E-03 # Covariance matrix: 1.5509E-13 -3.1541E-13 -5.1288E-16 1.3939E-15 7.3027E-14 -5.9291E-12 -3.1541E-13 2.9627E-12 2.8459E-15 -1.6053E-14 2.6148E-13 6.6108E-11 -5.1288E-16 2.8459E-15 1.0385E-13 -4.5487E-14 -6.6659E-16 6.2816E-14 1.3939E-15 -1.6053E-14 -4.5487E-14 9.3273E-14 -1.9018E-15 -3.7112E-13 7.3027E-14 2.6148E-13 -6.6659E-16 -1.9018E-15 3.9254E-13 7.1185E-12 -5.9291E-12 6.6108E-11 6.2816E-14 -3.7112E-13 7.1185E-12 1.5262E-09 # lat0 lon0 xBary yBary zBary JD0 -1.711458 -135.029388 0.377150 -0.027504 -0.925469 2457125.681508 # Heliocentric elements and errors Epoch: 2457120.5000 = 2015/04/08 Mean Anomaly: 245.93156 +/- 0.394 Argument of Peri: 34.99670 +/- 0.339 Long of Asc Node: 326.25042 +/- 0.040 Inclination: 1.71793 +/- 0.000 Eccentricity: 0.25011375 +/- 0.0017 Semi-Major Axis: 47.74833176 +/- 0.0317 Time of Perihelion: 2495306.0208 +/- 126.4 Perihelion: 35.80581767 +/- 0.0832 Aphelion: 59.69084585 +/- 0.0890 Period (y) 329.9480 +/- 0.33 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.96000902 +/- 0.0013 Ecliptic Y -38.38442694 +/- 0.0013 Ecliptic Z -1.60641354 +/- 0.0001 Ecliptic XDOT 0.00179067 +/- 0.0000 Ecliptic YDOT -0.00118848 +/- 0.0000 Ecliptic ZDOT 0.00000020 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 54.71587611 +/- 0.0013 Geocenter to KBO 53.78702380 +/- 0.0018 # Hcoef: 6.72
The following table shows the complete astrometric record for 15GS50. 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 (15GS50) followed by the observatory code and reference code for the source of the astrometry.
2015 04 13.18073 14 47 54.967 -17 57 46.82 24. r 15GS50 807 C~1x8u 2015 04 13.18074 14 47 54.97 -17 57 47.2 15GS50 W84 C~2JAh 2015 04 13.33132 14 47 54.442 -17 57 44.69 15GS50 807 C~1x8u 2015 04 13.33132 14 47 54.43 -17 57 44.9 24.3V 15GS50 W84 C~2JAh 2015 04 13.38114 14 47 54.262 -17 57 43.72 15GS50 807 C~1x8u 2015 04 13.38114 14 47 54.25 -17 57 44.1 15GS50 W84 C~2JAh 2015 04 18.29584 14 47 36.575 -17 56 29.49 15GS50 304 C~1x8u 2015 04 18.35570 14 47 36.352 -17 56 28.70 23.7r 15GS50 304 C~1x8u 2015 04 19.31715 14 47 32.838 -17 56 13.59 15GS50 304 C~1x8u 2015 05 22.10856 14 45 28.789 -17 47 04.39 15GS50 304 C~1x8u 2015 05 22.17430 14 45 28.544 -17 47 03.27 15GS50 304 C~1x8u 2015 05 23.09675 14 45 25.182 -17 46 47.74 15GS50 304 C~1x8u 2015 07 20.13264 14 43 07.522 -17 35 12.82 15GS50 304 C~1x8u 2015 07 21.01743 14 43 06.971 -17 35 08.61 15GS50 304 C~1x8u 2016 03 08.37081 14 52 49.688 -18 18 43.07 15GS50 304 C~1x8u 2016 03 09.37071 14 52 47.874 -18 18 37.10 15GS50 304 C~1x8u 2018 04 10.31751 14 58 04.524 -18 42 23.57 23.9R 15GS50 G37 C~2bHQ 2018 04 10.40183 14 58 04.252 -18 42 22.37 15GS50 G37 C~2bHQ
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 -0.07 0.00 -0.01
2 0.0000 0.15 0.08 -0.35 -0.36
3 0.0004 -7.89 0.06 -0.43 -0.28
4 0.0004 -7.79 0.16 -0.18 -0.03
5 0.0005 -10.58 0.02 -0.43 -0.24
6 0.0005 -10.53 0.07 -0.01 0.18
7 0.0140 -273.58 -0.07 -3.83 0.01
8 0.0142 -276.85 -0.04 -4.02 -0.13
9 0.0168 -329.22 0.08 -4.44 0.07
10 0.1066 -2183.56 -0.10 -7.26 0.13
11 0.1068 -2187.23 -0.11 -7.23 0.14
12 0.1093 -2237.70 -0.24 -6.77 0.14
13 0.2682 -4323.47 0.14 64.91 0.21
14 0.2706 -4332.26 0.07 66.54 0.27
15 0.9040 4385.51 -0.01 28.26 0.01
16 0.9067 4359.05 -0.03 26.49 -0.05
17 2.9928 9088.16 -0.12 -52.26 -0.10
18 2.9931 9084.11 0.13 -52.20 0.06
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.
15GS50 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.427 47.518 47.342 ecceobj 0.258 0.263 0.254 incobj 1.720 1.720 1.720 qmin 34.675 34.276 35.174 qmax 61.674 62.269 61.463 amean 47.795 47.796 47.796 amin 47.173 47.162 47.144 amax 48.550 48.556 48.555 emean 0.254 0.265 0.250 emin 0.232 0.243 0.234 emax 0.274 0.285 0.266 imean 3.079 2.971 3.042 imin 2.740 2.587 2.819 imax 3.366 3.231 3.335 excite_mean 0.260 0.270 0.255 fracstop 1.000 1.000 1.000 cjmean 3.063 3.056 3.066 libcent 0 180.1 180.5 179.2 libamp 0 147.3 146.4 150.5 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 200.1 175.3 167.3 kozaiamp 180.0 179.7 179.8