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: 07TU431
# Created Fri Nov 1 01:08:49 2024
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 53.83d
# First observation: 2007/10/14
# Last observation: 2007/12/07
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 0.077257 -0.000003 -0.007421 0.043649 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 6.83 DOF: 13 RMS: 0.15
# Min/Max residuals: -0.26 0.19
# Exact a, adot, b, bdot, g, gdot:
2.383147E-05 6.509057E-02 -3.059064E-06 -7.627550E-03 4.171252E-02 -2.228803E-02
# Covariance matrix:
4.1219E-13 1.1065E-10 -2.1318E-14 2.0934E-12 1.7364E-11 -1.4087E-09
1.1065E-10 4.1201E-07 -9.1506E-11 8.8397E-09 5.8711E-08 -6.2020E-06
-2.1318E-14 -9.1506E-11 3.2652E-13 -4.6794E-12 -1.2979E-11 1.3929E-09
2.0934E-12 8.8397E-09 -4.6794E-12 2.4287E-10 1.2543E-09 -1.3443E-07
1.7364E-11 5.8711E-08 -1.2979E-11 1.2543E-09 8.3869E-09 -8.7909E-07
-1.4087E-09 -6.2020E-06 1.3929E-09 -1.3443E-07 -8.7909E-07 9.4553E-05
# lat0 lon0 xBary yBary zBary JD0
0.418287 11.946476 -0.151581 0.007277 -0.988351 2454387.759564
# Heliocentric elements and errors
Epoch: 2454380.5000 = 2007/10/07
Mean Anomaly: 356.10028 +/- 3.959
Argument of Peri: 219.18113 +/- 11.644
Long of Asc Node: 195.70793 +/- 0.042
Inclination: 6.69625 +/- 0.081
Eccentricity: 0.76809159 +/- 0.1752
Semi-Major Axis: 95.27743912 +/- 63.7397
Time of Perihelion: 2458060.2173 +/- 565.3
Perihelion: 22.09563904 +/- 22.2984
Aphelion: 168.45923921 +/- 113.9275
Period (y) 930.0222 +/- 933.26
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 24.38858215 +/- 0.0515
Ecliptic Y 5.31092824 +/- 0.0109
Ecliptic Z 0.17496183 +/- 0.0004
Ecliptic XDOT -0.00230567 +/- 0.0006
Ecliptic YDOT 0.00387644 +/- 0.0001
Ecliptic ZDOT -0.00051141 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 24.96075940 +/- 0.0504
Geocenter to KBO 23.97361956 +/- 0.0526
# Hcoef: 10.36
The following table shows the complete astrometric record for 07TU431. 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 (07TU431) followed by the observatory code and reference code for the source of the astrometry.
2007 10 14.25881 00 43 17.21 +05 06 29.1 24.1R 07TU431 568 Cz3609 2007 10 14.32228 00 43 16.77 +05 06 26.0 23.7R 07TU431 568 Cz3609 2007 10 14.38418 00 43 16.34 +05 06 22.9 24.0R 07TU431 568 Cz3609 2007 10 15.41055 00 43 09.55 +05 05 35.2 07TU431 568 Cz3609 2007 11 03.03576 00 41 14.52 +04 51 50.6 07TU431 304 Cz3609 2007 11 03.06250 00 41 14.37 +04 51 49.6 07TU431 304 Cz3609 2007 11 10.308416 00 40 36.12 +04 47 07.6 24.1i 07TU431 568 C~5i1e 2007 12 07.05555 00 39 05.56 +04 35 06.9 07TU431 I11 Cz4080 2007 12 07.08472 00 39 05.50 +04 35 06.4 07TU431 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 0.17 0.00 0.03
2 0.0002 -7.26 -0.03 -0.29 -0.01
3 0.0003 -14.39 -0.26 -0.63 -0.13
4 0.0032 -126.41 0.07 -4.90 0.19
5 0.0541 -2031.00 0.08 -91.55 0.01
6 0.0542 -2033.45 0.15 -91.59 0.07
7 0.0741 -2670.02 -0.21 -127.24 -0.25
8 0.1473 -4198.46 0.08 -259.75 0.04
9 0.1474 -4199.48 -0.06 -259.86 0.06
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.
07TU431 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