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: 11KT19
# Created Thu May 24 01:37:55 2012
# Orbit generated from Bernstein formalism
# Fitting 24 observations of 24
# Arc: 8.02d
# First observation: 2011/05/31
# Last observation: 2011/06/08
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 -0.006640 -0.000001 0.053633 0.043081 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: 45.65 DOF: 43 RMS: 0.24
# Min/Max residuals: -0.70 0.54
# Exact a, adot, b, bdot, g, gdot:
-4.533922E-06 -1.010686E-02 1.892761E-05 5.361587E-02 4.253429E-02 -2.540052E-02
# Covariance matrix:
3.6345E-11 9.5514E-08 -3.1037E-13 1.0806E-09 1.5556E-08 -1.6283E-07
9.5514E-08 2.5182E-04 -8.0888E-10 2.8402E-06 4.1003E-05 -4.3639E-04
-3.1037E-13 -8.0888E-10 9.1238E-14 -1.4880E-11 -1.3208E-10 1.0147E-09
1.0806E-09 2.8402E-06 -1.4880E-11 3.3492E-08 4.6280E-07 -4.5726E-06
1.5556E-08 4.1003E-05 -1.3208E-10 4.6280E-07 6.6766E-06 -7.0769E-05
-1.6283E-07 -4.3639E-04 1.0147E-09 -4.5726E-06 -7.0769E-05 1.0507E-03
# lat0 lon0 xBary yBary zBary JD0
3.983294 -117.885906 -0.123644 0.069944 -1.005459 2455712.751456
# Heliocentric elements and errors
Epoch: 2455710.5000 = 2011/05/29
Mean Anomaly: 324.33067 +/- 25.238
Argument of Peri: 91.63493 +/- 36.270
Long of Asc Node: 243.12648 +/- 1.127
Inclination: 100.58349 +/- 16.534
Eccentricity: 0.48039010 +/- 0.5046
Semi-Major Axis: 32.47052170 +/- 13.7620
Time of Perihelion: 2462406.6447 +/- 2079.5
Perihelion: 16.87200440 +/- 17.8774
Aphelion: 48.06903900 +/- 26.1444
Period (y) 185.0300 +/- 117.63
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -11.32780916 +/- 0.6665
Ecliptic Y -21.67864016 +/- 1.2593
Ecliptic Z 1.63366800 +/- 0.0992
Ecliptic XDOT 0.00029771 +/- 0.0018
Ecliptic YDOT 0.00196367 +/- 0.0014
Ecliptic ZDOT 0.00332928 +/- 0.0003
# Distances at JD0 (AU)
Heliocenter to KBO 24.51431358 +/- 1.1554
Geocenter to KBO 23.51044117 +/- 1.4282
# Hcoef: 7.30
The following table shows the complete astrometric record for 11KT19. 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 (11KT19) followed by the observatory code and reference code for the source of the astrometry.
2011 05 31.25069 16 03 24.37 -16 40 43.4 21.0V 11KT19 G96 C~0WJU 2011 05 31.25814 16 03 24.30 -16 40 43.2 20.5V 11KT19 G96 C~0WJU 2011 05 31.26567 16 03 24.22 -16 40 42.7 20.9V 11KT19 G96 C~0WJU 2011 05 31.27317 16 03 24.08 -16 40 42.8 20.6V 11KT19 G96 C~0WJU 2011 05 31.29720 16 03 23.88 -16 40 40.7 20.8R 11KT19 H01 C~0WJU 2011 05 31.30505 16 03 23.79 -16 40 40.3 20.7R 11KT19 H01 C~0WJU 2011 05 31.31445 16 03 23.70 -16 40 39.7 20.9R 11KT19 H01 C~0WJU 2011 05 31.32114 16 03 23.63 -16 40 39.3 21.2R 11KT19 H01 C~0WJU 2011 05 31.37226 16 03 23.11 -16 40 36.3 21.3R 11KT19 H01 C~0WJU 2011 05 31.38141 16 03 23.02 -16 40 35.7 21.0R 11KT19 H01 C~0WJU 2011 05 31.39343 16 03 22.89 -16 40 35.0 22.2R 11KT19 H01 C~0WJU 2011 06 01.47742 16 03 11.99 -16 39 31.8 20.6R 11KT19 474 C~0WJU 2011 06 01.48645 16 03 11.91 -16 39 31.5 20.6R 11KT19 474 C~0WJU 2011 06 01.51642 16 03 11.59 -16 39 29.4 20.5R 11KT19 474 C~0WJU 2011 06 01.52580 16 03 11.53 -16 39 28.9 20.3R 11KT19 474 C~0WJU 2011 06 02.13084 16 03 05.41 -16 38 53.8 21.4V 11KT19 807 C~0WJU 2011 06 02.13929 16 03 05.32 -16 38 53.5 21.7V 11KT19 807 C~0WJU 2011 06 02.14750 16 03 05.24 -16 38 53.0 21.8V 11KT19 807 C~0WJU 2011 06 02.45486 16 03 02.14 -16 38 35.1 20.7R 11KT19 474 C~0WJU 2011 06 02.48585 16 03 01.83 -16 38 33.3 20.7R 11KT19 474 C~0WJU 2011 06 08.24329 16 02 04.63 -16 33 04.6 20.9V 11KT19 G96 C~0WS2 2011 06 08.25266 16 02 04.56 -16 33 03.8 20.8V 11KT19 G96 C~0WS2 2011 06 08.26186 16 02 04.38 -16 33 03.5 21.3V 11KT19 G96 C~0WS2 2011 06 08.27125 16 02 04.34 -16 33 02.7 20.9V 11KT19 G96 C~0WS2
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 0.16 0.00 0.21 2 0.0000 -1.03 0.29 0.00 0.00 3 0.0000 -2.25 0.24 0.27 0.05 4 0.0001 -4.20 -0.55 -0.22 -0.66 5 0.0001 -7.43 -0.02 1.28 0.17 6 0.0001 -8.78 -0.14 1.42 0.08 7 0.0002 -10.16 -0.07 1.76 0.15 8 0.0002 -11.23 -0.09 1.96 0.15 9 0.0003 -19.14 -0.06 3.45 0.16 10 0.0004 -20.52 -0.02 3.79 0.23 11 0.0004 -22.49 -0.13 4.11 0.21 12 0.0034 -188.42 0.09 35.66 -0.10 13 0.0034 -189.61 0.31 35.73 -0.29 14 0.0035 -194.53 0.03 36.90 0.02 15 0.0035 -195.47 0.54 37.22 0.08 16 0.0051 -288.57 -0.07 54.54 0.03 17 0.0052 -289.89 -0.09 54.58 -0.17 18 0.0052 -291.12 -0.04 54.85 -0.13 19 0.0060 -338.30 -0.24 63.74 -0.16 20 0.0061 -343.02 -0.18 64.63 -0.14 21 0.0219 -1213.64 0.22 226.46 -0.07 22 0.0219 -1214.79 0.50 227.04 0.26 23 0.0219 -1217.39 -0.70 226.83 -0.20 24 0.0220 -1218.11 0.00 227.50 0.21
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.
11KT19 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