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: 10HM23 # Created Wed Nov 27 02:09:03 2024 # Orbit generated from Bernstein formalism # Fitting 7 observations of 7 # Arc: 49.66d # First observation: 2010/04/20 # Last observation: 2010/06/09 Preliminary a, adot, b, bdot, g, gdot: -0.000002 0.109470 -0.000001 0.013777 0.068589 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 3.30 DOF: 9 RMS: 0.12 # Min/Max residuals: -0.19 0.23 # Exact a, adot, b, bdot, g, gdot: 2.822161E-05 1.280180E-01 2.309821E-06 1.376684E-02 7.189410E-02 7.260989E-04 # Covariance matrix: 3.1874E-11 1.3834E-07 4.9289E-12 -3.8098E-10 2.3623E-08 8.2157E-08 1.3834E-07 6.2880E-04 2.2517E-08 -1.8661E-06 1.0690E-04 3.0426E-04 4.9289E-12 2.2517E-08 1.1824E-12 -7.0332E-11 3.8254E-09 1.0537E-08 -3.8098E-10 -1.8661E-06 -7.0332E-11 6.4085E-09 -3.1430E-07 -4.7970E-07 2.3623E-08 1.0690E-04 3.8254E-09 -3.1430E-07 1.8183E-05 5.3236E-05 8.2157E-08 3.0426E-04 1.0537E-08 -4.7970E-07 5.3236E-05 3.6502E-04 # lat0 lon0 xBary yBary zBary JD0 -2.922871 -130.896309 0.332037 -0.048497 -0.949438 2455306.912366 # Heliocentric elements and errors Epoch: 2455300.5000 = 2010/04/14 Mean Anomaly: 356.25123 +/- 34.432 Argument of Peri: 341.41659 +/- 55.980 Long of Asc Node: 251.98613 +/- 4.316 Inclination: 6.66185 +/- 1.153 Eccentricity: 0.20694425 +/- 0.2504 Semi-Major Axis: 18.72370549 +/- 5.0535 Time of Perihelion: 2455608.6576 +/- 2827.7 Perihelion: 14.84894229 +/- 6.1672 Aphelion: 22.59846869 +/- 7.6925 Period (y) 81.0207 +/- 32.80 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -9.96356656 +/- 0.5394 Ecliptic Y -11.00412079 +/- 0.6227 Ecliptic Z -0.70921774 +/- 0.0421 Ecliptic XDOT 0.00365144 +/- 0.0004 Ecliptic YDOT -0.00322687 +/- 0.0009 Ecliptic ZDOT 0.00052213 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 14.86157201 +/- 0.5860 Geocenter to KBO 13.90934729 +/- 0.8250 # Hcoef: 10.65
The following table shows the complete astrometric record for 10HM23. 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 (10HM23) followed by the observatory code and reference code for the source of the astrometry.
2010 04 20.41160 15 03 11.758 -20 18 29.71 22. R 10HM23 304 C~0GuH 2010 04 21.21312 15 03 02.714 -20 17 50.07 22.1R 10HM23 304 C~0GuH 2010 04 21.26060 15 03 02.146 -20 17 47.73 21.9R 10HM23 304 C~0GuH 2010 04 21.30851 15 03 01.595 -20 17 45.51 22.0R 10HM23 304 C~0GuH 2010 06 09.029299 14 53 42.97 -19 31 21.8 10HM23 807 C~4qDO 2010 06 09.052328 14 53 42.76 -19 31 20.4 10HM23 807 C~4qDO 2010 06 09.074188 14 53 42.57 -19 31 19.3 10HM23 807 C~4qDO
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 -0.01 0.00 0.15 2 0.0022 -133.24 0.09 2.74 0.06 3 0.0023 -141.56 -0.12 2.76 -0.03 4 0.0025 -149.63 0.02 2.74 -0.19 5 0.1358 -8499.31 -0.18 429.24 -0.13 6 0.1359 -8502.56 -0.07 429.71 0.06 7 0.1360 -8505.46 0.23 429.98 0.07
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.
10HM23 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