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: 07TX431
# Created Sat Apr 20 01:13:00 2024
# Orbit generated from Bernstein formalism
# Fitting 8 observations of 8
# Arc: 52.61d
# First observation: 2007/10/15
# Last observation: 2007/12/07
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.067134 -0.000002 -0.013869 0.039245 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 8.73 DOF: 11 RMS: 0.18
# Min/Max residuals: -0.29 0.40
# Exact a, adot, b, bdot, g, gdot:
1.943829E-05 4.435687E-02 -5.949639E-06 -1.400331E-02 3.562629E-02 2.440515E-03
# Covariance matrix:
1.7993E-12 2.9602E-09 -2.6230E-13 2.7186E-11 4.5104E-10 -1.4020E-08
2.9602E-09 6.7162E-06 -6.1138E-10 6.3343E-08 1.0188E-06 -3.2618E-05
-2.6230E-13 -6.1138E-10 4.5024E-13 -8.9822E-12 -9.2622E-11 2.9976E-09
2.7186E-11 6.3343E-08 -8.9822E-12 6.5106E-10 9.5965E-09 -3.1053E-07
4.5104E-10 1.0188E-06 -9.2622E-11 9.5965E-09 1.5456E-07 -4.9419E-06
-1.4020E-08 -3.2618E-05 2.9976E-09 -3.1053E-07 -4.9419E-06 1.5982E-04
# lat0 lon0 xBary yBary zBary JD0
0.019583 32.337097 0.181714 0.000417 -0.983031 2454388.969224
# Heliocentric elements and errors
Epoch: 2454380.5000 = 2007/10/07
Mean Anomaly: 7.57087 +/- 43.981
Argument of Peri: 166.60276 +/- 77.575
Long of Asc Node: 212.03114 +/- 0.000
Inclination: 17.53797 +/- 0.961
Eccentricity: 0.25922154 +/- 0.0103
Semi-Major Axis: 38.99732412 +/- 2.4742
Time of Perihelion: 2452509.8446 +/- 10865.7
Perihelion: 28.88837782 +/- 1.8760
Aphelion: 49.10627042 +/- 3.1412
Period (y) 243.5345 +/- 23.18
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 24.64291243 +/- 0.2617
Ecliptic Y 15.38205264 +/- 0.1657
Ecliptic Z 0.00942466 +/- 0.0001
Ecliptic XDOT -0.00165829 +/- 0.0009
Ecliptic YDOT 0.00297939 +/- 0.0004
Ecliptic ZDOT -0.00107618 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 29.04962591 +/- 0.2387
Geocenter to KBO 28.06916099 +/- 0.3097
# Hcoef: 8.76
The following table shows the complete astrometric record for 07TX431. 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 (07TX431) followed by the observatory code and reference code for the source of the astrometry.
2007 10 15.46847 02 00 34.28 +12 18 11.4 23. R 07TX431 568 Cz4080 2007 10 15.57547 02 00 33.60 +12 18 06.9 07TX431 568 Cz4080 2007 10 15.60692 02 00 33.40 +12 18 05.5 07TX431 568 Cz4080 2007 11 04.07986 01 58 30.56 +12 04 20.1 07TX431 304 Cz4080 2007 11 04.09166 01 58 30.48 +12 04 19.7 07TX431 304 Cz4080 2007 12 06.12500 01 55 37.38 +11 44 13.0 07TX431 I11 Cz4080 2007 12 07.04444 01 55 33.56 +11 43 44.0 07TX431 I11 Cz4080 2007 12 07.07638 01 55 33.44 +11 43 43.1 07TX431 I11 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 0.05 0.00 -0.05
2 0.0003 -10.91 0.01 -0.80 -0.05
3 0.0004 -14.14 -0.04 -1.10 -0.11
4 0.0537 -1989.44 -0.01 -154.69 0.11
5 0.0537 -1990.68 -0.05 -154.66 0.23
6 0.1414 -4793.00 0.40 -404.86 0.32
7 0.1439 -4855.72 -0.29 -412.51 -0.22
8 0.1440 -4857.69 -0.08 -412.74 -0.22
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.
07TX431 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