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The Effect of Radiation Pressure on the Restricted Three-body Problem

Published online by Cambridge University Press:  14 August 2015

Donald W. Schuerman*
Affiliation:
Space Astronomy Laboratory, State University of N. Y. at Albany, Albany, N. Y. 12203

Abstract

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The classical restricted three-body problem is generalized to include the force of radiation pressure and the Poynting-Robertson effect. The positions of the Lagrangian points L4 and L5 are found as functions of β, the ratio of radiational to gravitational forces. The Poynting-Robertson effect renders the L4 and L5 points unstable on a time scale (T) long compared to the period of rotation of the two massive bodies. For the solar system, T is given by T = [(1-β)2/3/β] 544 a2 yr where a is the separation between the Sun and the planet in AU. Implications for space colonization and a mechanism for producing asymmetries in the interplanetary dust complex are discussed; testing the latter may be possible from the Zodiacal Light/Background Starlight Experiment aboard the International Solar Polar Mission spacecraft to be launched in 1983.

Type
III: The Interplanetary Dust Complex 1. Sources, Evolution, and Dynamics
Copyright
Copyright © Reidel 1980 

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