Viewed in its entirety, this series makes more sense, but also calls into question the economics of the future history in which the stories take place. The Alderson Drive, named after a fan and JPL staffer that Jerry Pournelle knew, only works in this setting if it's pretty close to free to actually operate. Otherwise, the costs of shipping become outrageous, given the time frames involved. Also, the military operations in the story just seem like they are out of scale with the size of the colonies.
In any case, the stories are about the fall of an empire, very much analogous to the fall of the Roman empire, but set in the 21st century. The Cold War has dragged on to become a cold peace, with a world government dominated by the U.S. and Russia being in place just when it become feasible to establish interstellar colonies. For reasons that don't quite make sense unless you assume that the government officials are pretty much all bad guys, these colonies are burdened with exported criminals, political dissidents, and random welfare recipients. The numbers shipped out don't actually make sense, Like everyone else, I did my job, and I did my best. I just did it longer, not better. because there are enough to harm the colonies, but not enough to help Earth. It's a plot point, though, so just go with it.
This story is nominally framed around a charismatic officer who is sacked from the government's military for making political enemies. He forms a mercenary unit to take the place of government troops in the brushfire wars breaking out in the colonies. Most of this story is solid military SF, and the only problem I had with it was the huge sums of money that the one Grand Senator was willing to spend to try to break Falkenberg and anyone he tried to support. The reasons took too long to become clear, and I'm still not sure they work.
Still, the stories were interesting, the adventure and military parts were exciting, and many of the characters were memorable. This book is a big chunk, though, so be warned that you will get plenty of exercise while carrying it around to read.