Integrable Systems in Celestial Mechanics

This work focuses on the two integrable systems of relevance to celestial mechanics, both of which date back to the 18th century. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, the latter being the more complex and more instructive, as it exhibits a richer and more varied solution structure. In contrasting the issues involved in the Kepler-Euler problems, the author raises current issues in analysis and astronomy, and places these classical...
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This work focuses on the two integrable systems of relevance to celestial mechanics, both of which date back to the 18th century. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, the latter being the more complex and more instructive, as it exhibits a richer and more varied solution structure. In contrasting the issues involved in the Kepler-Euler problems, the author raises current issues in analysis and astronomy, and places these classical problems in a modern context.