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: MB78798 # Created Wed Jun 4 01:12:11 2025 # Orbit generated as a Vaisala orbit #--->Element errors and covariance matrix from a Bernstein fit # Fitting 4 observations of 4 # Arc: 60.01d # First observation: 2003/08/23 # Last observation: 2003/10/22 # Chi-squared of fit: 33.52 DOF: 2 RMS: 0.51 # Min/Max residuals: -0.57 1.00 # Exact a, adot, b, bdot, g, gdot: 4.156604E-05 4.812650E-01 -7.973538E-06 -9.250648E-02 1.834524E-01 1.823341E-02 # Covariance matrix: 1.2022E-11 1.7743E-07 -2.4042E-14 1.1570E-09 2.8329E-08 -1.6753E-07 1.7743E-07 2.9027E-03 -6.9499E-10 3.0458E-05 4.5058E-04 -3.5302E-03 -2.4042E-14 -6.9499E-10 7.3561E-13 -4.1272E-11 -7.4996E-11 2.8657E-09 1.1570E-09 3.0458E-05 -4.1272E-11 1.4472E-06 3.4710E-06 -1.1426E-04 2.8329E-08 4.5058E-04 -7.4996E-11 3.4710E-06 7.1344E-05 -4.6191E-04 -1.6753E-07 -3.5302E-03 2.8657E-09 -1.1426E-04 -4.6191E-04 9.5817E-03 # lat0 lon0 xBary yBary zBary JD0 -0.979228 -13.195475 0.301880 -0.016524 -0.969597 2452874.686863 # Heliocentric elements and errors Epoch: 2452920.5000 = 2003/10/08 Inclination: 10.95803 +/- 0.443 Eccentricity: 0.16101013 +/- 0.1667 Semi-Major Axis: 7.65436166 +/- 59.6163 Perihelion: 6.42193186 +/- 50.0337 Aphelion: 8.88679145 +/- 69.2268 Period (y) 21.1774 +/- 247.41 # Distances at JD0 (AU) Heliocenter to KBO 6.42401288 +/- 0.1438 Geocenter to KBO 5.45102928 +/- 0.1536 # Hcoef: 14.99
The following table shows the complete astrometric record for MB78798. 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 (MB78798) followed by the observatory code and reference code for the source of the astrometry.
2003 08 23.18612 23 12 58.242 -06 06 42.43 22.5R MB78798 807 2003 08 23.25438 23 12 56.897 -06 06 54.92 MB78798 807 2003 10 22.13406 22 54 25.735 -08 53 22.89 23.0R MB78798 695 2003 10 22.19235 22 54 25.203 -08 53 29.49 MB78798 695
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 0.08 0.00 0.04
2 0.0002 0.00 0.89 0.00 0.23
3 0.1641 0.00 -0.57 0.00 1.00
4 0.1643 0.00 -0.01 0.00 -0.00
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.
MB78798 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