“Now that Perry and Romney have begun to draw the battle lines between them, I don’t think there is any room for Palin in the campaign,” said Republican strategist Rich Galen. “She’s still a big personality, but she’s not a potential candidate.”

Perry also has shoved aside Representative Michele Bachmann, who is popular with Tea Party followers and social conservatives but has faded since she won Iowa’s straw poll last month on the same day Perry launched his bid.

For months, Palin had led the list of potential candidates being goaded into the race by Republican activists dissatisfied with the field.

But an Associated Press/GfK poll in late August, after Perry’s entry, showed nearly two-thirds of Republican voters were now satisfied with their choices in the race — up from just more than half in mid-June.