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: 12UY174 # Created Wed Apr 24 01:14:03 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 12.97d # First observation: 2012/10/23 # Last observation: 2012/11/05 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.279279 0.000000 0.024931 0.132816 0.000000 # Chi-squared of fit: 11.43 DOF: 10 RMS: 0.21 # Min/Max residuals: -0.60 0.32 # Exact a, adot, b, bdot, g, gdot: 3.522927E-05 3.013878E-01 1.974568E-06 2.460255E-02 1.364586E-01 1.128549E-01 # Covariance matrix: 1.7012E-12 1.0704E-08 -5.4062E-13 -1.5112E-10 1.7405E-09 1.2265E-08 1.0704E-08 9.5368E-05 -4.6555E-09 -1.3928E-06 1.5353E-05 6.6152E-05 -5.4062E-13 -4.6555E-09 5.1573E-13 5.7956E-11 -7.5079E-10 -3.6339E-09 -1.5112E-10 -1.3928E-06 5.7956E-11 2.1366E-08 -2.2382E-07 -8.4367E-07 1.7405E-09 1.5353E-05 -7.5079E-10 -2.2382E-07 2.4728E-06 1.1012E-05 1.2265E-08 6.6152E-05 -3.6339E-09 -8.4367E-07 1.1012E-05 1.5678E-04 # lat0 lon0 xBary yBary zBary JD0 10.440002 42.746953 0.214850 0.175565 -0.952548 2456223.995296 # Heliocentric elements and errors Epoch: 2456220.5000 = 2012/10/20 Mean Anomaly: 42.69144 +/- 4.829 Argument of Peri: 338.74430 +/- 5.470 Long of Asc Node: 341.37889 +/- 0.751 Inclination: 10.62919 +/- 0.091 Eccentricity: 0.36350578 +/- 0.0449 Semi-Major Axis: 10.06006646 +/- 0.5416 Time of Perihelion: 2454838.4046 +/- 109.5 Perihelion: 6.40317413 +/- 0.5679 Aphelion: 13.71695879 +/- 0.8654 Period (y) 31.9087 +/- 2.58 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 6.15111672 +/- 0.0610 Ecliptic Y 5.39396982 +/- 0.0564 Ecliptic Z 1.32791372 +/- 0.0153 Ecliptic XDOT -0.00254084 +/- 0.0002 Ecliptic YDOT 0.00589343 +/- 0.0002 Ecliptic ZDOT 0.00089587 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 8.28821466 +/- 0.0583 Geocenter to KBO 7.32823146 +/- 0.0844 # Hcoef: 12.77
The following table shows the complete astrometric record for 12UY174. 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 (12UY174) followed by the observatory code and reference code for the source of the astrometry.
2012 10 23.494518 02 27 13.061 +25 34 49.90 22.3w 12UY174 F51 c~0knY 2012 10 23.509643 02 27 12.730 +25 34 48.59 21.9w 12UY174 F51 c~0knY 2012 10 23.539961 02 27 12.045 +25 34 46.47 21.9w 12UY174 F51 c~0knY 2012 10 25.44441 02 26 29.64 +25 32 30.1 21.3R 12UY174 291 C~0knY 2012 10 25.45507 02 26 29.40 +25 32 29.1 21.4R 12UY174 291 C~0knY 2012 10 25.46573 02 26 29.10 +25 32 27.9 12UY174 291 C~0knY 2012 11 05.44896 02 22 22.89 +25 17 02.4 12UY174 F51 C~7ufB 2012 11 05.46115 02 22 22.64 +25 17 01.3 21.9i 12UY174 F51 C~7ufB
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 0.18 2 0.0000 -4.66 0.01 0.21 -0.10 3 0.0001 -14.12 0.05 1.21 -0.08 4 0.0053 -601.14 0.32 58.43 0.16 5 0.0054 -604.54 0.28 58.54 -0.02 6 0.0054 -608.77 -0.60 58.73 -0.14 7 0.0355 -4063.92 -0.18 281.52 0.04 8 0.0355 -4067.48 0.18 281.61 -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.
12UY174 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