There are 3 books in the Galactic Empires series. The newest book is Pebble in the Sky which came out in 1982.

1
The Stars, Like Dust

Book cover of The Stars, Like Dust

Mankind has conquered space and moved toward the starry heart of the galaxy. Earth is a planet of no importance, riddled with radioactivity by long-forgotten wars.

When assassins target his rooms and news arrives that, many light-years away, his father has been murdered, student Biron Farrill flees for his life.…

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2
The Currents of Space

Book cover of The Currents of Space
High above the planet Florinia, the Squires of Sark live in unimaginable wealth and comfort. Down in the eternal spring of the planet, however, the native Florinians labor ceaselessly to produce the precious kyrt that brings prosperity to their Sarkite masters. Rebellion is unthinkable and impossible. Not only do the…

3
Pebble in the Sky

Book cover of Pebble in the Sky

Caught up in an experiment gone wrong, Joseph Schwartz is transported forward in time from post-war Chicago to the heyday of the first Galactic Empire.

Earth, he soon learns, is a backwater, despised by the other two hundred million planets of the Empire because its people dare to claim it…