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: 07TW431 # Created Wed Apr 17 01:12:57 2024 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 19.96d # First observation: 2007/10/15 # Last observation: 2007/11/04 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.031330 -0.000001 0.012804 0.027606 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 11.38 DOF: 11 RMS: 0.21 # Min/Max residuals: -0.39 0.40 # Exact a, adot, b, bdot, g, gdot: 1.458441E-05 2.341638E-02 6.332288E-06 1.290538E-02 2.633035E-02 -8.417955E-03 # Covariance matrix: 7.7251E-12 1.1111E-08 4.1032E-15 -9.9376E-11 1.8655E-09 -5.1466E-09 1.1111E-08 1.6610E-05 9.0886E-12 -1.5137E-07 2.7825E-06 -1.1832E-05 4.1032E-15 9.0886E-12 2.5434E-13 -5.4054E-12 1.3120E-12 -1.8338E-10 -9.9376E-11 -1.5137E-07 -5.4054E-12 1.8834E-09 -2.5152E-08 2.8012E-07 1.8655E-09 2.7825E-06 1.3120E-12 -2.5152E-08 4.6648E-07 -1.6873E-06 -5.1466E-09 -1.1832E-05 -1.8338E-10 2.8012E-07 -1.6873E-06 2.5622E-04 # lat0 lon0 xBary yBary zBary JD0 -1.486558 13.061936 -0.145886 -0.025562 -0.988726 2454388.555884 # Heliocentric elements and errors Epoch: 2454380.5000 = 2007/10/07 Mean Anomaly: 308.29850 +/- 51.646 Argument of Peri: 83.66921 +/- 34.411 Long of Asc Node: 15.89552 +/- 0.468 Inclination: 28.90527 +/- 4.287 Eccentricity: 0.31535361 +/- 0.6157 Semi-Major Axis: 44.06257487 +/- 22.0391 Time of Perihelion: 2469723.2728 +/- 10118.7 Perihelion: 30.16728268 +/- 31.0445 Aphelion: 57.95786706 +/- 39.7047 Period (y) 292.4913 +/- 219.45 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.91360590 +/- 0.9594 Ecliptic Y 8.94182755 +/- 0.2225 Ecliptic Z -0.98504442 +/- 0.0256 Ecliptic XDOT -0.00136246 +/- 0.0016 Ecliptic YDOT 0.00218070 +/- 0.0005 Ecliptic ZDOT 0.00136407 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 38.96624314 +/- 0.9348 Geocenter to KBO 37.97898560 +/- 0.9852 # Hcoef: 6.49
The following table shows the complete astrometric record for 07TW431. 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 (07TW431) followed by the observatory code and reference code for the source of the astrometry.
2007 10 15.05513 00 50 23.12 +03 47 17.3 22.0R 07TW431 304 Cz4080 2007 10 15.11921 00 50 22.80 +03 47 15.4 07TW431 304 Cz4080 2007 10 15.20686 00 50 22.35 +03 47 13.9 07TW431 304 Cz4080 2007 10 16.06842 00 50 18.01 +03 46 53.2 07TW431 304 Cz4080 2007 10 16.14182 00 50 17.60 +03 46 51.1 07TW431 304 Cz4080 2007 10 16.18978 00 50 17.38 +03 46 49.9 07TW431 304 Cz4080 2007 11 02.06875 00 48 55.59 +03 40 41.3 07TW431 304 Cz4080 2007 11 04.01250 00 48 46.84 +03 40 04.0 07TW431 304 Cz4080
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 0.29
2 0.0002 -5.15 -0.11 0.11 -0.12
3 0.0004 -11.94 0.15 1.34 0.40
4 0.0028 -79.84 0.30 7.49 -0.02
5 0.0030 -86.31 -0.29 7.94 -0.17
6 0.0031 -89.81 0.06 8.11 -0.39
7 0.0493 -1361.11 -0.02 144.14 -0.13
8 0.0546 -1496.30 0.01 160.70 0.15
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.
07TW431 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