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: 07LJ38 # Created Thu Apr 26 01:37:36 2018 # Orbit generated from Bernstein formalism # Fitting 27 observations of 27 # Arc: 10.03y # First observation: 2005/05/11 # Last observation: 2015/05/22 Preliminary a, adot, b, bdot, g, gdot: -0.003094 0.033562 0.000593 -0.002980 0.030051 0.000000 # Chi-squared of fit: 17.65 DOF: 48 RMS: 0.14 # Min/Max residuals: -0.41 0.37 # Exact a, adot, b, bdot, g, gdot: 1.955298E-05 3.145465E-02 -2.178791E-06 -2.831666E-03 2.614624E-02 -3.387811E-03 # Covariance matrix: 4.2742E-13 -1.7563E-13 -2.4497E-14 1.3220E-14 -3.5353E-14 -4.0333E-13 -1.7563E-13 1.1416E-13 2.6267E-14 -9.9915E-15 1.4461E-13 2.9160E-13 -2.4497E-14 2.6267E-14 1.6255E-13 -3.0305E-14 6.4624E-14 7.2097E-14 1.3220E-14 -9.9915E-15 -3.0305E-14 8.5285E-15 -1.5122E-14 -2.7349E-14 -3.5353E-14 1.4461E-13 6.4624E-14 -1.5122E-14 5.9706E-13 3.9885E-13 -4.0333E-13 2.9160E-13 7.2097E-14 -2.7349E-14 3.9885E-13 7.9782E-13 # lat0 lon0 xBary yBary zBary JD0 31.938912 -122.159929 0.124411 0.528639 -0.847866 2453501.745879 # Heliocentric elements and errors Epoch: 2453500.5000 = 2005/05/10 Mean Anomaly: 353.91458 +/- 0.003 Argument of Peri: 117.63596 +/- 0.005 Long of Asc Node: 137.72636 +/- 0.000 Inclination: 31.54354 +/- 0.000 Eccentricity: 0.47483052 +/- 0.0001 Semi-Major Axis: 73.12274290 +/- 0.0183 Time of Perihelion: 2457361.1899 +/- 0.9 Perihelion: 38.40183250 +/- 0.0128 Aphelion: 107.84365330 +/- 0.0282 Period (y) 625.2978 +/- 0.23 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -17.91687727 +/- 0.0005 Ecliptic Y -28.25717693 +/- 0.0008 Ecliptic Z 20.23288841 +/- 0.0006 Ecliptic XDOT 0.00286576 +/- 0.0000 Ecliptic YDOT -0.00163819 +/- 0.0000 Ecliptic ZDOT -0.00043924 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.10054108 +/- 0.0007 Geocenter to KBO 38.24642319 +/- 0.0011 # Hcoef: 7.33
The following table shows the complete astrometric record for 07LJ38. 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 (07LJ38) followed by the observatory code and reference code for the source of the astrometry.
2005 05 11.245136 16 10 11.93 +11 30 48.0 23.0V 07LJ38 645 C~2KuB 2005 05 11.245965 16 10 11.93 +11 30 48.0 23.3V 07LJ38 645 C~2KuB 2005 05 11.248453 16 10 11.93 +11 30 48.0 24.4V 07LJ38 645 C~2KuB 2007 06 12.31694 16 21 45.25 +10 27 59.5 23.3r 07LJ38 568 C~1QdL 2007 06 12.35740 16 21 45.06 +10 27 59.2 23.2r 07LJ38 568 C~1QdL 2007 06 12.39798 16 21 44.86 +10 27 59.0 22.7r 07LJ38 568 C~1QdL 2008 05 07.39670 16 31 42.77 +09 47 04.7 22.9r 07LJ38 568 C~1QdL 2008 05 07.42593 16 31 42.66 +09 47 05.4 23.1r 07LJ38 568 C~1QdL 2008 05 07.45536 16 31 42.50 +09 47 06.5 23.7r 07LJ38 568 C~1QdL 2008 05 29.51909 16 29 55.65 +09 53 00.3 23.4r 07LJ38 568 C~1QdL 2008 05 29.56203 16 29 55.43 +09 53 00.6 23.0r 07LJ38 568 C~1QdL 2008 05 29.56466 16 29 55.41 +09 53 00.7 23.2r 07LJ38 568 C~1QdL 2008 06 01.50624 16 29 40.68 +09 53 18.8 23.3r 07LJ38 568 C~1QdL 2008 06 07.14778 16 29 12.57 +09 53 33.0 23.0 07LJ38 807 C~1QdL 2008 06 07.29383 16 29 11.82 +09 53 33.0 23.0 07LJ38 807 C~1QdL 2008 06 08.11565 16 29 07.76 +09 53 32.8 07LJ38 807 C~1QdL 2008 06 08.19344 16 29 07.38 +09 53 32.8 07LJ38 807 C~1QdL 2008 08 04.27040 16 25 43.22 +09 31 15.3 07LJ38 568 C~1QdL 2008 08 04.30671 16 25 43.17 +09 31 13.8 07LJ38 568 C~1QdL 2008 08 04.34168 16 25 43.12 +09 31 12.2 07LJ38 568 C~1QdL 2009 06 20.25721 16 35 16.43 +09 17 15.0 07LJ38 695 C~1QdL 2009 06 20.31172 16 35 16.17 +09 17 14.3 07LJ38 695 C~1QdL 2009 06 21.24427 16 35 11.83 +09 17 04.7 07LJ38 695 C~1QdL 2009 06 21.25229 16 35 11.79 +09 17 04.4 07LJ38 695 C~1QdL 2015 05 22.32097 17 20 17.98 +05 31 52.3 23.3R 07LJ38 695 C~1hU4 2015 05 22.38302 17 20 17.68 +05 31 53.1 07LJ38 695 C~1hU4 2015 05 22.43525 17 20 17.44 +05 31 53.9 07LJ38 695 C~1hU4
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 -0.11 0.00 0.10 2 0.0000 0.00 -0.05 0.00 0.09 3 0.0000 0.00 0.14 0.00 0.08 4 2.0864 10799.09 -0.05 -1422.17 -0.09 5 2.0865 10796.42 0.10 -1423.09 -0.19 6 2.0867 10793.58 0.09 -1423.95 -0.22 7 2.9901 20002.89 -0.33 -1792.46 0.00 8 2.9902 20001.13 0.03 -1792.16 0.07 9 2.9903 19998.55 -0.41 -1791.64 0.37 10 3.0507 18366.31 0.22 -1813.85 -0.03 11 3.0508 18363.05 0.20 -1814.32 -0.05 12 3.0508 18362.74 0.08 -1814.29 0.01 13 3.0589 18145.10 0.12 -1847.13 0.14 14 3.0743 17734.63 0.27 -1929.54 0.09 15 3.0747 17723.77 0.04 -1932.11 0.04 16 3.0770 17665.02 -0.13 -1946.19 0.10 17 3.0772 17659.52 0.01 -1947.49 0.20 18 3.2335 15012.96 -0.15 -3947.47 -0.13 19 3.2336 15012.58 -0.07 -3949.10 -0.05 20 3.2337 15012.22 0.01 -3950.84 -0.13 21 4.1095 23534.50 -0.11 -2800.01 -0.10 22 4.1097 23530.88 -0.07 -2801.60 -0.24 23 4.1122 23469.93 0.07 -2826.16 0.01 24 4.1123 23469.42 0.09 -2826.60 -0.21 25 10.0290 68046.86 -0.01 -6081.64 0.11 26 10.0291 68041.83 -0.05 -6082.03 -0.03 27 10.0293 68037.77 0.07 -6082.18 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.
07LJ38 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 71.583 71.634 71.532 ecceobj 0.464 0.465 0.464 incobj 31.545 31.545 31.545 qmin 37.473 37.658 37.462 qmax 109.249 109.013 109.190 amean 72.434 72.473 72.381 amin 71.505 71.600 71.460 amax 73.730 73.739 73.669 emean 0.464 0.464 0.464 emin 0.447 0.448 0.449 emax 0.482 0.480 0.482 imean 30.523 30.539 30.501 imin 29.853 29.878 29.852 imax 31.198 31.228 31.155 excite_mean 0.688 0.688 0.688 fracstop 1.000 1.000 1.000 cjmean 2.783 2.783 2.783 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 232.3 233.7 230.4 kozaiamp 115.5 116.7 113.7