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: 10LN68 # Created Wed Nov 27 02:09:05 2024 # Orbit generated from Bernstein formalism # Fitting 4 observations of 4 # Arc: 1.25d # First observation: 2010/06/13 # Last observation: 2010/06/15 # WARNING Fitting with energy constraint # WARNING and with gdot fixed = 0 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 28.26 DOF: 4 RMS: 0.47 # Min/Max residuals: -0.78 0.60 # Exact a, adot, b, bdot, g, gdot: 2.430683E-05 1.050746E-01 -3.590504E-06 -3.603490E-02 7.752294E-02 0.000000E+00 # Covariance matrix: -4.6201E-10 -2.2232E-06 -5.7904E-11 -2.7837E-07 -4.3195E-07 0.0000E+00 -2.2232E-06 -1.0685E-02 -2.7832E-07 -1.3380E-03 -2.0762E-03 0.0000E+00 -5.7904E-11 -2.7832E-07 -6.7523E-12 -3.5008E-08 -5.4078E-08 0.0000E+00 -2.7837E-07 -1.3380E-03 -3.5008E-08 -1.6736E-04 -2.5998E-04 0.0000E+00 -4.3195E-07 -2.0762E-03 -5.4078E-08 -2.5998E-04 -4.0340E-04 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 6.1307E-03 # lat0 lon0 xBary yBary zBary JD0 10.734461 -130.887992 -0.557086 0.157845 -0.832720 2455361.459836 # Heliocentric elements and errors Epoch: 2455360.5000 = 2010/06/13 Mean Anomaly: 169.90923 +/- 270.654 Argument of Peri: 337.63494 +/- 97.941 Long of Asc Node: 77.94111 +/- 77.941 Inclination: 21.73336 +/- 21.733 Eccentricity: 0.28901015 +/- 0.2890 Semi-Major Axis: 10.68416798 +/- 10.6842 Time of Perihelion: 2462095.9716 +/- 3227.7 Perihelion: 7.59633504 +/- 8.1999 Aphelion: 13.77200093 +/- 14.1139 Period (y) 34.9236 +/- 52.39 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -8.42526687 +/- -8.4253 Ecliptic Y -10.58876237 +/- -10.5888 Ecliptic Z 2.40257141 +/- 2.4026 Ecliptic XDOT 0.00265166 +/- 0.0027 Ecliptic YDOT -0.00260221 +/- 0.0012 Ecliptic ZDOT -0.00125040 +/- -0.0013 # Distances at JD0 (AU) Heliocenter to KBO 13.74333874 +/- 9.6650 Geocenter to KBO 12.89940804 +/- 12.8994 # Hcoef: 8.69
The following table shows the complete astrometric record for 10LN68. 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 (10LN68) followed by the observatory code and reference code for the source of the astrometry.
2010 06 13.95907 15 18 22.983 -07 09 20.41 19.4R 10LN68 809 C~0Ip4 2010 06 14.04509 15 18 22.031 -07 09 19.51 20.2R 10LN68 809 C~0Ip4 2010 06 14.12850 15 18 21.061 -07 09 20.19 19.8R 10LN68 809 C~0Ip4 2010 06 15.20782 15 18 08.503 -07 09 23.94 10LN68 809 C~0Ip4
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 -0.59 0.00 -0.78
2 0.0002 -13.91 0.12 -2.85 0.60
3 0.0005 -27.66 0.59 -7.29 0.25
4 0.0034 -207.03 -0.08 -59.97 -0.08
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.
10LN68 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