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: 04KZ18 # Created Sun Dec 22 02:08:39 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 18 observations of 18 # Arc: 11.05y # First observation: 2004/05/24 # Last observation: 2015/06/12 # Chi-squared of fit: 22.92 DOF: 30 RMS: 0.20 # Min/Max residuals: -0.48 0.41 # Exact a, adot, b, bdot, g, gdot: 1.847364E-05 3.463945E-02 7.798335E-06 1.445642E-02 2.989510E-02 -2.266536E-03 # Covariance matrix: 1.8609E-13 -1.3247E-13 2.9693E-14 -5.1890E-14 5.1924E-14 -2.9295E-13 -1.3247E-13 2.2594E-13 -5.5571E-14 9.7071E-14 -1.7162E-13 5.4872E-13 2.9693E-14 -5.5571E-14 1.3415E-13 -3.7005E-14 5.2443E-14 -1.3799E-13 -5.1890E-14 9.7071E-14 -3.7005E-14 4.6394E-14 -9.0884E-14 2.4098E-13 5.1924E-14 -1.7162E-13 5.2443E-14 -9.0884E-14 1.4725E-12 -5.2611E-13 -2.9295E-13 5.4872E-13 -1.3799E-13 2.4098E-13 -5.2611E-13 1.3631E-12 # lat0 lon0 xBary yBary zBary JD0 -0.084099 -128.432094 -0.213051 -0.001402 -0.990113 2453149.867903 # Heliocentric elements and errors Epoch: 2453150.5000 = 2004/05/25 Mean Anomaly: 355.53292 +/- 0.004 Argument of Peri: 10.65106 +/- 0.009 Long of Asc Node: 232.11104 +/- 0.000 Inclination: 22.63375 +/- 0.000 Eccentricity: 0.38481653 +/- 0.0002 Semi-Major Axis: 55.70785640 +/- 0.0183 Time of Perihelion: 2455034.9925 +/- 74.0 Perihelion: 34.27055245 +/- 0.0149 Aphelion: 77.14516034 +/- 0.0272 Period (y) 415.7985 +/- 0.21 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -21.24422914 +/- 0.0008 Ecliptic Y -27.10965663 +/- 0.0011 Ecliptic Z -0.04880772 +/- 0.0000 Ecliptic XDOT 0.00261019 +/- 0.0000 Ecliptic YDOT -0.00181778 +/- 0.0000 Ecliptic ZDOT 0.00132437 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 34.44206058 +/- 0.0010 Geocenter to KBO 33.45037397 +/- 0.0014 # Hcoef: 8.26
The following table shows the complete astrometric record for 04KZ18. 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 (04KZ18) followed by the observatory code and reference code for the source of the astrometry.
2004 05 24.36716 15 16 29.14 -18 14 12.1 24.1r 04KZ18 568 C~0D3B 2004 05 24.39224 15 16 28.99 -18 14 11.3 24.1r 04KZ18 568 C~0D3B 2004 05 24.41476 15 16 28.87 -18 14 10.6 23.1r 04KZ18 568 C~0D3B 2004 05 25.37607 15 16 23.59 -18 13 41.9 24.0r 04KZ18 568 C~0D3B 2004 06 10.29914 15 15 01.76 -18 06 11.3 23.6i 04KZ18 568 C~0X5W 2004 06 10.36907 15 15 01.43 -18 06 09.4 23.4i 04KZ18 568 C~0X5W 2004 06 10.43312 15 15 01.12 -18 06 07.8 23.4i 04KZ18 568 C~0X5W 2005 05 08.43948 15 26 59.86 -18 04 14.2 23.4r 04KZ18 568 C~0X5W 2005 05 08.47120 15 26 59.67 -18 04 13.3 23.5r 04KZ18 568 C~0X5W 2005 05 08.50317 15 26 59.49 -18 04 12.3 23.3r 04KZ18 568 C~0X5W 2005 05 10.49592 15 26 48.25 -18 03 14.7 04KZ18 568 C~0X5W 2006 05 02.41527 15 36 34.68 -17 47 33.1 22.8r 04KZ18 695 C~0X5W 2006 05 02.45749 15 36 34.46 -17 47 31.9 22.9r 04KZ18 695 C~0X5W 2006 06 30.26641 15 31 31.58 -17 22 23.6 23.8r 04KZ18 568 C~0X5W 2015 06 12.19488 16 52 10.54 -13 32 14.1 23.0R 04KZ18 695 C~1hTc 2015 06 12.24220 16 52 10.23 -13 32 13.1 04KZ18 695 C~1hTc 2015 06 12.29545 16 52 09.93 -13 32 12.5 04KZ18 695 C~1hTc 2015 06 12.33020 16 52 09.75 -13 32 12.0 04KZ18 695 C~1hTc
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 -0.04 0.00 -0.02
2 0.0001 0.00 -0.19 0.00 0.04
3 0.0001 0.00 -0.10 0.00 0.07
4 0.0028 0.00 -0.48 0.00 0.41
5 0.0464 0.00 0.14 0.00 -0.06
6 0.0465 0.00 0.28 0.00 -0.03
7 0.0467 0.00 0.29 0.00 -0.16
8 0.9557 0.00 0.06 0.00 0.18
9 0.9558 0.00 -0.06 0.00 0.16
10 0.9559 0.00 -0.01 0.00 0.23
11 0.9613 0.00 -0.04 0.00 -0.04
12 1.9385 0.00 0.04 0.00 -0.30
13 1.9386 0.00 0.25 0.00 -0.29
14 2.0997 0.00 -0.18 0.00 -0.29
15 11.0495 0.00 0.29 0.00 -0.06
16 11.0496 0.00 -0.28 0.00 0.22
17 11.0498 0.00 -0.17 0.00 -0.00
18 11.0499 0.00 0.13 0.00 -0.04
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.
04KZ18 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE Type: 5:2EII 5:2EII 5:2EII axisobj 54.963 54.963 54.963 ecceobj 0.377 0.377 0.377 incobj 22.704 22.704 22.704 qmin 33.459 33.458 33.460 qmax 78.544 78.545 78.544 amean 55.461 55.461 55.461 amin 54.880 54.882 54.879 amax 56.233 56.233 56.233 emean 0.381 0.381 0.381 emin 0.370 0.370 0.370 emax 0.397 0.397 0.397 imean 23.691 23.690 23.692 imin 23.123 23.122 23.124 imax 24.000 24.000 24.001 excite_mean 0.554 0.554 0.554 fracstop 1.000 1.000 1.000 cjmean 2.840 2.840 2.840 libcent 0 180.4 180.5 180.4 libamp 0 32.6 32.5 32.7 libcent 1 178.5 178.6 178.5 libamp 1 53.8 53.6 53.9 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 211.0 211.1 210.9 kozaiamp 180.0 180.0 180.0