Statistics – Methodology
Scientific paper
May 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009dda....40.1003m&link_type=abstract
American Astronomical Society, DDA meeting #40, #10.03; Bulletin of the American Astronomical Society, Vol. 41, p.904
Statistics
Methodology
Scientific paper
A detailed derivation of the eff ect of solar radiation pressure on the orbit of a body about a primary other than the Sun is given. The result is a set of secular equations that can be used for long-term predictions of changes in the orbit. Solar radiation pressure is modeled as a Fourier series in the body's rotation state, where the coefficients include the shape and radiation properties of the body as parameters. In this work, the assumption is made that the body rotates at a constant rate such that it completes one rotation per orbit. This model is used to write explicit variational equations of the energy, eccentricity vector, and angular momentum vector for an orbiting body. Given that the e ffect of the solar radiation pressure and the orbit are periodic functions, they are readily averaged over an orbit. Furthermore, the equations can be averaged again over the orbit of the primary about the Sun to give secular equations for long-term prediction. This methodology is applied to both circular and elliptical orbits, and the results are discussed. These results can be applied to natural systems, such as the binary asteroid system KW4, to predict the evolution of the system due to the Binary YORP effect.
McMahon Jay W.
Scheeres Daniel J.
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