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: 03QK91
# Created Wed Jun 19 01:37:12 2013
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 4.79y
# First observation: 2003/08/25
# Last observation: 2008/06/07
Preliminary a, adot, b, bdot, g, gdot:
-0.000301 0.029830 -0.000018 0.001700 0.024911 0.000000
# Chi-squared of fit: 153.18 DOF: 30 RMS: 0.52
# Min/Max residuals: -1.52 1.04
# Exact a, adot, b, bdot, g, gdot:
1.874893E-05 2.908798E-02 1.526954E-06 1.667379E-03 2.530989E-02 -5.317502E-03
# Covariance matrix:
2.2954E-13 -1.6376E-13 2.3407E-15 -5.1715E-15 5.3742E-15 -7.2176E-13
-1.6376E-13 3.2358E-13 -6.4474E-15 1.3493E-14 -6.2095E-14 1.8943E-12
2.3407E-15 -6.4474E-15 1.8843E-13 -5.5190E-14 1.8516E-15 -4.0624E-14
-5.1715E-15 1.3493E-14 -5.5190E-14 2.8603E-14 1.8952E-16 9.0648E-14
5.3742E-15 -6.2095E-14 1.8516E-15 1.8952E-16 2.7347E-13 -3.7037E-14
-7.2176E-13 1.8943E-12 -4.0624E-14 9.0648E-14 -3.7037E-14 1.2638E-11
# lat0 lon0 xBary yBary zBary JD0
2.411353 -48.510067 -0.345365 0.040211 -0.953778 2452876.630013
# Heliocentric elements and errors
Epoch: 2452870.5000 = 2003/08/19
Mean Anomaly: 347.37107 +/- 0.008
Argument of Peri: 69.44938 +/- 0.022
Long of Asc Node: 276.14179 +/- 0.003
Inclination: 4.01735 +/- 0.000
Eccentricity: 0.42673160 +/- 0.0001
Semi-Major Axis: 67.06391234 +/- 0.0122
Time of Perihelion: 2459907.6343 +/- 4.1
Perihelion: 38.44562154 +/- 0.0097
Aphelion: 95.68220314 +/- 0.0186
Period (y) 549.2139 +/- 0.15
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 27.04077072 +/- 0.0005
Ecliptic Y -30.05198883 +/- 0.0006
Ecliptic Z 1.66239360 +/- 0.0000
Ecliptic XDOT 0.00196597 +/- 0.0000
Ecliptic YDOT 0.00251500 +/- 0.0000
Ecliptic ZDOT 0.00015618 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.46095483 +/- 0.0006
Geocenter to KBO 39.51024812 +/- 0.0008
# Hcoef: 6.63
The following table shows the complete astrometric record for 03QK91. 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 (03QK91) followed by the observatory code and reference code for the source of the astrometry.
2003 08 25.12927 20 53 02.29 -15 00 59.6 21.8R 03QK91 807 Ci4137 2003 08 26.02489 20 52 58.36 -15 01 15.9 03QK91 807 Ci4137 2003 08 26.12384 20 52 57.92 -15 01 17.7 03QK91 807 Ci4137 2003 10 01.22477 20 50 56.45 -15 10 26.5 23.1R 03QK91 568 Ci6964 2003 10 01.30181 20 50 56.29 -15 10 27.5 03QK91 568 Ci6964 2003 10 02.22040 20 50 54.47 -15 10 37.4 03QK91 568 Ci6964 2004 08 12.11446 21 00 31.29 -14 23 42.2 21.8R 03QK91 807 Cn7007 2004 08 12.21694 21 00 30.79 -14 23 44.3 03QK91 807 Cn7007 2005 06 09.24825 21 11 17.32 -13 33 29.0 22.5R 03QK91 304 Cn7007 2005 06 09.28043 21 11 17.27 -13 33 29.3 03QK91 304 Cn7007 2006 06 17.26905 21 17 31.78 -12 58 46.6 22.5R 03QK91 250 S~06Ad 2006 06 17.33169 21 17 31.62 -12 58 47.0 03QK91 250 S~06Ad 2006 06 17.33608 21 17 31.61 -12 58 47.0 03QK91 250 S~06Ad 2006 06 17.34048 21 17 31.60 -12 58 47.1 03QK91 250 S~06Ad 2007 09 11.23039 21 18 10.00 -12 47 47.6 22.5r 03QK91 695 Cv8575 2007 09 11.29715 21 18 09.73 -12 47 48.9 22.6r 03QK91 695 Cv8575 2008 06 07.34574 21 30 59.63 -11 44 17.3 03QK91 807 Cz1375 2008 06 07.40408 21 30 59.54 -11 44 17.5 03QK91 807 Cz1375
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 -0.12 0.00 -0.10 2 0.0025 -59.22 0.10 -0.15 0.13 3 0.0027 -65.85 0.14 -0.14 0.16 4 0.1016 -1907.99 0.24 -50.42 0.22 5 0.1018 -1910.49 0.25 -50.76 0.03 6 0.1043 -1938.54 0.32 -53.16 -0.32 7 0.9664 6881.68 -0.43 346.55 0.04 8 0.9667 6874.11 -0.49 346.57 -0.01 9 1.7909 16788.56 -1.52 542.21 0.04 10 1.7910 16787.77 -1.30 542.13 -0.18 11 2.8122 22680.29 1.00 923.80 -0.07 12 2.8123 22677.91 1.01 924.12 0.00 13 2.8123 22677.77 1.04 924.16 0.02 14 2.8124 22677.60 1.04 924.11 -0.04 15 4.0468 23419.35 -0.30 1389.54 -0.07 16 4.0470 23415.14 -0.33 1389.47 -0.05 17 4.7864 35571.41 -0.31 1599.18 0.13 18 4.7865 35570.05 -0.33 1599.40 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.
03QK91 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 68.037 68.074 68.001 ecceobj 0.435 0.436 0.435 incobj 4.015 4.015 4.015 qmin 38.403 38.389 38.399 qmax 97.564 97.581 97.556 amean 67.693 67.741 67.715 amin 67.522 67.524 67.513 amax 67.988 68.000 68.002 emean 0.430 0.431 0.431 emin 0.427 0.428 0.428 emax 0.435 0.435 0.435 imean 5.741 5.751 5.729 imin 5.494 5.508 5.424 imax 6.026 6.020 6.045 excite_mean 0.442 0.442 0.442 fracstop 1.000 1.000 1.000 cjmean 3.138 3.138 3.138 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 184.4 185.2 187.7 kozaiamp 180.0 179.9 180.0