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An interesting point that's easy for me to forget as I am re-reading the series for at least the third time, and probably the fourth. We learn about the universe as Rowan learns. That's part of what makes her discovery of orbital dynamics so interesting. The use of trigonometry and successive approximations to calculate something we all take for granted is part of that gradual discovery process. (Though one wonders why the old weight at the end of a spinning string analogy might not have come along first.)
FWIW, Grey Ram, I strongly suspect that you'd enjoy the second book more. Much is discovered, but there's also more of a self-contained feel to it. And it contains one of my favourite three word phrases. ("RBC" for those who've read it without doing a spoiler for those who haven't.)
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