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: 03BG91
# Created Fri Nov 1 01:08:17 2024
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 91.90d
# First observation: 2003/01/27
# Last observation: 2003/04/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000002 0.026082 -0.000002 0.000895 0.025475 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 5.94 DOF: 21 RMS: 0.12
# Min/Max residuals: -0.17 0.26
# Exact a, adot, b, bdot, g, gdot:
1.550536E-05 2.542907E-02 -2.726543E-07 8.708439E-04 2.484612E-02 -4.630018E-03
# Covariance matrix:
2.7691E-13 -2.1173E-11 2.6212E-14 -1.0552E-13 -1.1503E-11 -1.4420E-09
-2.1173E-11 8.8207E-09 -2.0145E-11 2.7103E-10 7.7945E-09 1.2124E-06
2.6212E-14 -2.0145E-11 1.9316E-13 -1.6306E-12 -1.9347E-11 -3.0895E-09
-1.0552E-13 2.7103E-10 -1.6306E-12 3.7551E-11 2.7852E-10 4.5379E-08
-1.1503E-11 7.7945E-09 -1.9347E-11 2.7852E-10 7.3855E-09 1.1744E-06
-1.4420E-09 1.2124E-06 -3.0895E-09 4.5379E-08 1.1744E-06 1.8803E-04
# lat0 lon0 xBary yBary zBary JD0
1.453691 -146.338802 0.978278 0.001497 -0.058674 2452666.913163
# Heliocentric elements and errors
Epoch: 2452660.5000 = 2003/01/21
Mean Anomaly: 309.23370 +/- 18.290
Argument of Peri: 110.21179 +/- 45.060
Long of Asc Node: 176.39027 +/- 0.371
Inclination: 2.47535 +/- 0.022
Eccentricity: 0.22516548 +/- 0.5448
Semi-Major Axis: 45.05605441 +/- 10.7643
Time of Perihelion: 2468238.1224 +/- 578.2
Perihelion: 34.91098640 +/- 25.9260
Aphelion: 55.20112242 +/- 27.8661
Period (y) 302.4391 +/- 108.38
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -34.08089713 +/- 0.1158
Ecliptic Y -21.51549817 +/- 0.0771
Ecliptic Z 1.02102629 +/- 0.0035
Ecliptic XDOT 0.00197278 +/- 0.0013
Ecliptic YDOT -0.00205252 +/- 0.0008
Ecliptic ZDOT 0.00008318 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.31707710 +/- 0.1062
Geocenter to KBO 40.24773565 +/- 0.1392
# Hcoef: 10.66
The following table shows the complete astrometric record for 03BG91. 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 (03BG91) followed by the observatory code and reference code for the source of the astrometry.
2003 01 27.41242 14 07 42.638 -11 22 09.83 26.9V 03BG91 250 Si2704 2003 01 27.50045 14 07 42.674 -11 22 10.05 03BG91 250 Si2704 2003 01 27.87434 14 07 42.948 -11 22 10.05 03BG91 250 Si2704 2003 01 27.96832 14 07 42.981 -11 22 10.30 03BG91 250 Si2704 2003 01 30.22560 14 07 44.172 -11 22 09.90 03BG91 250 Si2704 2003 01 30.50364 14 07 44.268 -11 22 09.66 03BG91 250 Si2704 2003 01 30.62941 14 07 44.324 -11 22 09.56 03BG91 250 Si2704 2003 02 06.96981 14 07 44.344 -11 21 48.27 03BG91 250 Si2704 2003 02 07.23020 14 07 44.256 -11 21 47.03 03BG91 250 Si2704 2003 02 08.64384 14 07 43.598 -11 21 39.45 03BG91 250 Si2704 2003 02 08.95229 14 07 43.461 -11 21 37.73 03BG91 250 Si2704 2003 02 08.97850 14 07 43.417 -11 21 37.51 03BG91 250 Si2704 2003 04 29.31400 14 03 14.21 -10 55 21.0 03BG91 568 Ci2704
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 0.14 0.00 0.17
2 0.0002 0.57 -0.14 -0.03 -0.10
3 0.0013 4.37 0.16 1.33 0.23
4 0.0015 4.91 -0.15 1.26 -0.10
5 0.0077 21.26 0.07 7.55 -0.03
6 0.0085 22.50 -0.12 8.25 -0.09
7 0.0088 23.25 0.01 8.63 -0.07
8 0.0289 16.33 -0.02 28.77 -0.06
9 0.0296 14.70 0.11 29.50 -0.04
10 0.0335 3.03 -0.16 33.36 -0.01
11 0.0343 0.55 0.26 34.30 0.09
12 0.0344 -0.13 -0.17 34.29 0.01
13 0.2516 -4262.63 -0.00 172.13 0.01
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.
03BG91 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