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From the text:
"It made him feel better to think that there was one familiar thing, twinkling above him, amid so much that was new and strange."
On Chester's first night in New York, Tucker and Harry take him up out of the station to see Times Square glimmer in the night. It is very different from what Chester is used to, but he manages to find one familiar thing: a star in the sky that he recognizes from home. This star is a symbol of the place that Chester has left, and he will carry the thought of it with him to comfort him when everything else is new and strange.