Poul Anderson 
Stars Are Also Fire 
Harvest of Stars Book 2

It is the dawn of a new era of space exploration and colonisation. Dagny Beynac, descendant of the legendary Anson Guthrie, becomes a heroine of a new Lunarian civilisation that struggles to break free of the influence of Earth.Centuries later, the entire solar system is dominated by a vast network of machine intelligences. On Earth and Luna, splintered fragments of humanity search for some way to survive in a system that no longer seems to hold a place for flesh and blood.And the only solution lies in the distant past, in the life of Dagny Beynac.