D. Vokrouhlicky, and P. Farinella, 1995, "SPECULAR REFLECTION OF SUNLIGHT FROM WAVY OCEAN SURFACES AND THE ALBEDO EFFECT ON SATELLITE ORBITS. I. A STATISTICAL MODEL", AA, 298, 307.

ABSTRACT

Radiation pressure from sunlight reflected by the Earth's surface and atmosphere affects in a detectable way the orbit of laser--tracked Earth satellites or spacecraft carrying microaccelerometric devices. In particular, long--term perturbations arise as a consequence of radiation specularly reflected from ocean surfaces. Most previous models of this effect modelled the ocean surface as a perfectly smooth spherical mirror, such that the reflected light beam was seen at the satellite as collimated and coming from a specific point of the Earth's surface. We now improve on these simplified models, taking into account that the wavy geometry of the ocean surface results into a finite aperture of the reflected light beam and into an extended (and non--uniform) image of the Sun seen on the surface itself from the satellite's position. First we use geometrical optics and a statistical description of the orientation of small--scale reflecting surface elements to define an averaged Fresnel--type reflection law giving the amount of reflected radiation as a function of incidence angle. Then we compare the results of two possible methods to derive the local radiative field at the satellite: (i) using the averaged Fresnel reflection coefficient but assuming again a perfectly spherical surface; (ii) analyzing in detail the distribution of ray geometries from the whole surface region contributing reflected sunlight, with the method outlined in Vokrouhlick\'y \etal (1993c). The results show that the mirror--like model in fact overestimates the perturbative effects of reflected sunlight for LAGEOS--type satellites, although the extent of this overestimate depends on the statistical properties of the ocean surface geometry.


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