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I was under the impression that orchestra, symphony, and philharmonic were ways of differentiating what instruments were being used. However, Wikipedia tells me otherwise.

"An orchestra is a musical ensemble used most often in classical music. A small orchestra (about forty players) is called a chamber orchestra.

A full size orchestra (about 104 players) may sometimes be called a "symphony orchestra" or "philharmonic orchestra"; these prefixes do not necessarily indicate any strict difference in either the instrumental constitution or role of the orchestra, but can be useful to distinguish different ensembles based in the same city (for instance, the London Symphony Orchestra and the London Philharmonic Orchestra). A symphony orchestra will usually have over eighty musicians on its roster, in some cases over a hundred, but the actual number of musicians employed in a particular performance may vary according to the work being played, and the size of the venue. A leading chamber orchestra might employ as many as fifty members; some are much smaller than that."