Mathematics
Scientific paper
Apr 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985tgmd.nasaq.....&link_type=abstract
In NASA. Goddard Space Flight Center Topex Gravity Model Develop. Team Activities During Fiscal Year 1984 18 p (SEE N85-27285
Mathematics
Numerical Integration, Orbital Mechanics, Radiation Pressure, Solar Radiation, Topex, Boundary Value Problems, Equations Of Motion, Gravitational Effects, Loads (Forces), Mathematical Models, Spacecraft Trajectories
Scientific paper
Solar radiation pressure is an important contributor to the orbital motion of a satellite, particularly over long periods of time. Two of the most significant problems associated with numerically integrating the equations of motion that include the effect of solar radiation pressure are: (1) properly defining the boundary of the shadow region, and (2) including the proper contribution of solar radiation pressure to the total force as the satellite passes from sunlight to total shadow. To illustrate the integration errors associated with these procedures, a set of initial conditions representing the Starlett satellite (altitude approximately 955 km) is used. The integrations which neglect to take any special action at the shadow boundaries may cause an unacceptable error growth, even over a moderate number of revolutions. This error may be reduced sustantially by using the modification of back differences (mbd) method.
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