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: 15GK59 # Created Wed Nov 27 02:10:18 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 9.85d # First observation: 2015/04/11 # Last observation: 2015/04/21 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.236730 0.000001 -0.017287 0.102279 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 12.48 DOF: 27 RMS: 0.16 # Min/Max residuals: -0.28 0.32 # Exact a, adot, b, bdot, g, gdot: 3.557610E-05 2.291576E-01 -1.884488E-06 -1.725278E-02 1.009420E-01 -4.857922E-02 # Covariance matrix: 8.6027E-11 5.7799E-07 7.6473E-13 5.7134E-11 9.2416E-08 1.6781E-08 5.7799E-07 3.9084E-03 5.1300E-09 4.0058E-07 6.2485E-04 8.2632E-05 7.6473E-13 5.1300E-09 4.0535E-13 -1.7585E-11 8.2048E-10 2.9580E-10 5.7134E-11 4.0058E-07 -1.7585E-11 1.1301E-09 6.3931E-08 -5.6657E-08 9.2416E-08 6.2485E-04 8.2048E-10 6.3931E-08 9.9898E-05 1.3453E-05 1.6781E-08 8.2632E-05 2.9580E-10 -5.6657E-08 1.3453E-05 1.4269E-04 # lat0 lon0 xBary yBary zBary JD0 -0.326042 -153.051793 0.101267 -0.005545 -0.994052 2457123.977418 # Heliocentric elements and errors Epoch: 2457120.5000 = 2015/04/08 Mean Anomaly: 350.06747 +/- 12.212 Argument of Peri: 220.26636 +/- 23.909 Long of Asc Node: 22.48305 +/- 1.082 Inclination: 4.31722 +/- 1.170 Eccentricity: 0.53069236 +/- 0.2916 Semi-Major Axis: 21.66834272 +/- 12.8850 Time of Perihelion: 2458136.9695 +/- 860.1 Perihelion: 10.16911882 +/- 8.7454 Aphelion: 33.16756662 +/- 20.7102 Period (y) 100.8665 +/- 89.97 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -9.76589809 +/- 0.8744 Ecliptic Y -4.84972840 +/- 0.4445 Ecliptic Z -0.05635791 +/- 0.0056 Ecliptic XDOT 0.00399044 +/- 0.0004 Ecliptic YDOT -0.00494816 +/- 0.0010 Ecliptic ZDOT -0.00046036 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 10.90393540 +/- 0.8077 Geocenter to KBO 9.90667701 +/- 0.9809 # Hcoef: 13.86
The following table shows the complete astrometric record for 15GK59. 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 (15GK59) followed by the observatory code and reference code for the source of the astrometry.
2015 04 11.47664 13 39 32.746 -10 41 21.79 24.1r 15GK59 568 C~2ofV 2015 04 12.38346 13 39 19.605 -10 40 16.26 24.2r 15GK59 568 C~2ofV 2015 04 12.42916 13 39 18.932 -10 40 12.82 24.1r 15GK59 568 C~2ofV 2015 04 12.47138 13 39 18.289 -10 40 09.72 23.8r 15GK59 568 C~2ofV 2015 04 18.331389 13 37 52.59 -10 33 01.1 15GK59 W84 C~3xrU 2015 04 18.334630 13 37 52.53 -10 33 00.9 15GK59 W84 C~3xrU 2015 04 18.337905 13 37 52.49 -10 33 00.6 15GK59 W84 C~3xrU 2015 04 18.44198 13 37 50.984 -10 32 53.85 23.6r 15GK59 568 C~2ofV 2015 04 18.48972 13 37 50.263 -10 32 49.98 24.0r 15GK59 568 C~2ofV 2015 04 19.315081 13 37 38.17 -10 31 49.3 15GK59 W84 C~3xrU 2015 04 19.321586 13 37 38.07 -10 31 48.7 15GK59 W84 C~3xrU 2015 04 19.324803 13 37 38.02 -10 31 48.4 15GK59 W84 C~3xrU 2015 04 21.316123 13 37 08.94 -10 29 22.1 15GK59 W84 C~3xrU 2015 04 21.319363 13 37 08.86 -10 29 21.9 15GK59 W84 C~3xrU 2015 04 21.322604 13 37 08.81 -10 29 21.5 15GK59 W84 C~3xrU 2015 04 21.325833 13 37 08.77 -10 29 21.5 15GK59 W84 C~3xrU
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 -0.17
2 0.0025 -204.30 0.01 -8.80 -0.09
3 0.0026 -214.79 0.06 -9.17 0.09
4 0.0027 -224.75 -0.14 -9.70 0.05
5 0.0188 -1557.78 0.18 -66.92 0.20
6 0.0188 -1558.68 0.03 -67.06 0.10
7 0.0188 -1559.33 0.13 -66.99 0.20
8 0.0191 -1582.48 -0.08 -68.74 0.02
9 0.0192 -1593.79 -0.28 -68.98 0.32
10 0.0215 -1782.01 0.11 -77.02 -0.28
11 0.0215 -1783.60 0.02 -76.99 -0.19
12 0.0215 -1784.40 -0.03 -76.98 -0.15
13 0.0269 -2237.19 0.31 -96.08 0.11
14 0.0269 -2238.36 -0.12 -96.32 -0.10
15 0.0270 -2239.19 -0.20 -96.22 0.04
16 0.0270 -2239.74 -0.01 -96.43 -0.14
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.
15GK59 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0