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: MA31754
# Created Wed Jun 4 01:12:15 2025
# Orbit generated from Bernstein formalism
# Fitting 4 observations of 4
# Arc: 57.86d
# First observation: 2005/04/12
# Last observation: 2005/06/09
# WARNING Fitting with energy constraint
# WARNING and with gdot fixed = 0
# Chi-squared of fit: 4.65 DOF: 4 RMS: 0.19
# Min/Max residuals: -0.33 0.33
# Exact a, adot, b, bdot, g, gdot:
1.241889E-05 1.745212E-02 -9.520481E-06 -1.493248E-02 2.364594E-02 0.000000E+00
# Covariance matrix:
8.0535E-11 1.1659E-07 1.1210E-12 2.2794E-09 2.0813E-08 0.0000E+00
1.1659E-07 1.7035E-04 1.6378E-09 3.3302E-06 3.0409E-05 0.0000E+00
1.1210E-12 1.6378E-09 7.4530E-13 2.7408E-11 2.9236E-10 0.0000E+00
2.2794E-09 3.3302E-06 2.7408E-11 6.5164E-08 5.9447E-07 0.0000E+00
2.0813E-08 3.0409E-05 2.9236E-10 5.9447E-07 5.4282E-06 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 1.7398E-04
# lat0 lon0 xBary yBary zBary JD0
3.346893 -149.501827 0.138355 0.057804 -0.987097 2453472.848223
# Heliocentric elements and errors
Epoch: 2453470.5000 = 2005/04/10
Mean Anomaly: 359.48045 +/- 104.454
Argument of Peri: 175.52129 +/- 170.771
Long of Asc Node: 34.13972 +/- 2.885
Inclination: 40.56342 +/- 21.501
Eccentricity: 0.03828207 +/- 0.5770
Semi-Major Axis: 45.00464454 +/- 22.6668
Time of Perihelion: 2453629.6508 +/- 252550.5
Perihelion: 43.28177360 +/- 33.9033
Aphelion: 46.72751547 +/- 35.0444
Period (y) 301.9216 +/- 228.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.30357243 +/- 3.5844
Ecliptic Y -21.80981123 +/- 2.1109
Ecliptic Z 2.46859874 +/- 0.2432
Ecliptic XDOT 0.00093895 +/- 0.0015
Ecliptic YDOT -0.00179946 +/- 0.0014
Ecliptic ZDOT -0.00172595 +/- 0.0002
# Distances at JD0 (AU)
Heliocenter to KBO 43.28184794 +/- 3.2674
Geocenter to KBO 42.29055973 +/- 4.1669
# Hcoef: 6.82
The following table shows the complete astrometric record for MA31754. 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 (MA31754) followed by the observatory code and reference code for the source of the astrometry.
2005 04 12.34748 13 58 16.901 -08 30 33.14 23.3R MA31754 695 2005 04 12.44456 13 58 16.454 -08 30 31.31 MA31754 695 2005 06 9.16951 13 54 06.186 -08 17 42.83 22.4R MA31754 304 2005 06 9.21029 13 54 06.096 -08 17 43.00 MA31754 304
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 -0.15 0.00 -0.10
2 0.0003 -6.85 0.15 -0.58 0.10
3 0.1583 -3756.42 -0.33 -571.84 0.07
4 0.1584 -3757.61 0.33 -572.46 -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.
MA31754 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