EAGLE TRAP, by Geoffrey Archer (Arrow, $60). THIS is the other Geoffrey Archer - the one with a G - and not to be confused with Jeffrey whose work includes Cain and Abel, First Among Equals and the latest, Honour Among Thieves; the member of the British Parliament dragged into court by the accusations of a prostitute. Geoffrey Archer is the Defence and Diplomatic Correspondent for News At Ten on Britain's Independent Television News. Eagle Trap is his third ''bestseller'' after Skydancer and Shadowhunter. The titles of his books are tasters to the cliches to come. In Eagle Trap, Captain Peter Brodrick, a young, obsessive Royal Marine, is determined to bring down Abdul Habib, an evil drug lord out to blow up the world. The development of character and plot are equally as predictable. Brodrick's girlfriend Jackie Bartlett accidently gets hold of information suggesting Arab terrorists are ''poised to plunge the planet into nuclear war.'' This information is thrust into her hands by a journalist seconds before he is shot dead in a Turkish lavatory. Coincidentally, the information is tied to the same case Broderick is working on. Just as Jeffrey with a J often uses the halls of Parliament as a backdrop, Geoffrey with a G focuses on the world he knows best, the media. From a journalist, one might hope for more inspired writing than ''they'd need to hate, if they were to be ready to kill'' and: ''There was another fear, on this mission. The fear of not coming back.'' These examples are characteristic of Archer's writing throughout the book, interspersed with predictably more gruesome descriptions of mangled flesh and bubbling blood. But if Eagle Trap is indeed a bestseller as its cover claims then this must be the type of writing for which readers will queue, regardless of how the author spells his name.