Original sentence: It should be noted that co-orbit has little profound physical effect on Charon —unlike the synchronous orbital radius, for instance, which does have profound consequences for the orbiting body (see Phobos, for example).Since neither can be said to be orbiting the other, it is common for astronomers to refer to Pluto/Charon as a double planet: two objects orbiting the Sun in tandem
Edited sentence: As a result, it is common for astronomers to refer to Pluto/Charon as a double planet: two objects orbiting the Sun in tandem.One should not make too much of that fact, because it has no profound physical significance —unlike the synchronous orbital radius, for instance, which does have profound consequences for the orbiting body (see Phobos, for example)