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: 04CJ39
# Created Sat Apr 20 01:11:42 2024
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 3.25y
# First observation: 2004/01/19
# Last observation: 2007/04/21
Preliminary a, adot, b, bdot, g, gdot:
-0.003094 0.492348 0.000577 -0.027533 0.172289 0.000000
# WARNING -- MRQMIN stopped after 23 iterations
# Chi-squared of fit: 278.40 DOF: 36 RMS: 0.64
# Min/Max residuals: -1.83 1.27
# Exact a, adot, b, bdot, g, gdot:
4.490869E-05 4.829835E-01 -2.635152E-06 -2.726997E-02 1.690042E-01 7.659580E-02
# Covariance matrix:
3.8249E-13 4.0027E-14 1.2555E-15 7.2977E-15 5.6089E-13 -1.7665E-13
4.0027E-14 1.0705E-12 1.2703E-14 -5.6098E-14 5.2875E-13 5.0313E-13
1.2555E-15 1.2703E-14 1.0084E-13 -4.2548E-14 7.0650E-15 6.1342E-15
7.2977E-15 -5.6098E-14 -4.2548E-14 6.1939E-14 -7.0205E-15 -3.7233E-14
5.6089E-13 5.2875E-13 7.0650E-15 -7.0205E-15 1.2517E-12 -1.4641E-13
-1.7665E-13 5.0313E-13 6.1342E-15 -3.7233E-14 -1.4641E-13 4.2176E-13
# lat0 lon0 xBary yBary zBary JD0
2.096050 125.913648 0.129273 0.035589 -0.970660 2453023.751133
# Heliocentric elements and errors
Epoch: 2453020.5000 = 2004/01/16
Mean Anomaly: 7.51261 +/- 0.001
Argument of Peri: 125.69362 +/- 0.001
Long of Asc Node: 334.64822 +/- 0.000
Inclination: 3.61655 +/- 0.000
Eccentricity: 0.48446490 +/- 0.0000
Semi-Major Axis: 12.97933868 +/- 0.0007
Time of Perihelion: 2452664.0770 +/- 0.0
Perihelion: 6.69130463 +/- 0.0005
Aphelion: 19.26737272 +/- 0.0011
Period (y) 46.7614 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -3.93714601 +/- 0.0000
Ecliptic Y 5.65405740 +/- 0.0000
Ecliptic Z 0.21639778 +/- 0.0000
Ecliptic XDOT -0.00707776 +/- 0.0000
Ecliptic YDOT -0.00357855 +/- 0.0000
Ecliptic ZDOT -0.00039594 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 6.89320765 +/- 0.0000
Geocenter to KBO 5.91701282 +/- 0.0000
# Hcoef: 13.79
The following table shows the complete astrometric record for 04CJ39. 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 (04CJ39) followed by the observatory code and reference code for the source of the astrometry.
2004 01 19.25039 08 35 21.47 +20 49 27.1 22.2V 04CJ39 691 Cj8972 2004 01 19.27846 08 35 20.81 +20 49 28.9 22.5V 04CJ39 691 Cj8972 2004 01 19.30797 08 35 20.09 +20 49 31.0 22.4V 04CJ39 691 Cj8972 2004 02 14.12288 08 25 33.31 +21 16 04.7 22.4V 04CJ39 691 Cj8972 2004 02 14.15012 08 25 32.78 +21 16 05.8 22.5V 04CJ39 691 Cj8972 2004 02 14.17698 08 25 32.19 +21 16 07.4 22.1V 04CJ39 691 Cj8972 2004 02 15.22639 08 25 10.66 +21 16 55.7 22.0R 04CJ39 H36 Cj8972 2004 02 15.26263 08 25 09.91 +21 16 57.5 21.3R 04CJ39 H36 Cj8972 2004 02 25.90610 08 21 54.67 +21 23 32.0 22.1R 04CJ39 540 Ck0160 2004 02 25.92364 08 21 54.38 +21 23 32.4 22.2R 04CJ39 540 Ck0160 2004 03 10.79252 08 18 57.07 +21 27 05.6 22.5R 04CJ39 540 Ck0888 2004 03 10.84341 08 18 56.60 +21 27 05.8 22.4R 04CJ39 540 Ck0888 2004 03 17.263471 08 18 09.08 +21 26 38.9 22.2V 04CJ39 645 C~2JxA 2004 03 17.264300 08 18 09.08 +21 26 38.9 21.8V 04CJ39 645 C~2JxA 2004 03 17.266788 08 18 09.07 +21 26 39.0 22.5V 04CJ39 645 C~2JxA 2005 03 09.26362 09 57 21.966 +12 50 17.89 21.5R 04CJ39 695 2005 03 09.263622 09 57 21.94 +12 50 17.8 22.2V 04CJ39 695 C~4q41 2005 03 09.35545 09 57 20.250 +12 50 25.38 04CJ39 695 2005 03 09.355451 09 57 20.23 +12 50 25.3 22.4V 04CJ39 695 C~4q41 2007 04 21.255750 11 59 47.63 -02 06 10.3 23.3V 04CJ39 807 C~4q41 2007 04 21.258528 11 59 47.59 -02 06 10.2 04CJ39 807 C~4q41
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 0.06 0.00 0.02
2 0.0001 -9.41 0.14 -0.57 -0.19
3 0.0002 -19.71 -0.16 -1.05 -0.27
4 0.0708 -8380.17 0.33 -444.55 -0.03
5 0.0709 -8387.64 0.96 -445.22 -0.13
6 0.0710 -8396.04 0.55 -445.60 0.06
7 0.0739 -8700.45 0.01 -469.23 -0.50
8 0.0740 -8711.08 0.00 -469.94 -0.34
9 0.1031 -11462.76 -1.83 -718.49 -1.13
10 0.1031 -11466.80 -1.80 -719.02 -1.21
11 0.1411 -13935.97 0.10 -1073.99 1.13
12 0.1413 -13942.43 0.34 -1075.27 1.27
13 0.1588 -14586.11 0.35 -1250.59 -0.22
14 0.1588 -14586.11 0.41 -1250.59 -0.20
15 0.1588 -14586.27 0.45 -1250.53 -0.05
16 1.1362 79595.91 0.21 -6198.82 0.78
17 1.1362 79595.53 -0.16 -6199.05 0.54
18 1.1365 79565.88 0.20 -6200.55 0.88
19 1.1365 79565.60 -0.08 -6200.74 0.69
20 3.2526 294055.56 -0.09 -19796.56 -0.27
21 3.2526 294053.78 0.02 -19796.76 -0.52
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.
04CJ39 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 12.787 12.789 12.786 ecceobj 0.477 0.477 0.477 incobj 3.624 3.624 3.624 qmin 6.606 6.570 6.455 qmax 18.882 19.119 20.226 amean 11.178 12.410 12.605 amin 10.222 11.943 11.722 amax 12.787 13.067 13.378 emean 0.383 0.456 0.475 emin 0.326 0.437 0.444 emax 0.477 0.477 0.512 imean 5.703 4.556 6.613 imin 4.482 4.119 4.823 imax 7.060 4.999 9.989 excite_mean 0.397 0.463 0.490 fracstop 0.001 0.001 0.001 cjmean 3.822 3.567 3.524 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 225.6 162.6 215.3 kozaiamp 84.3 39.2 73.4