The five adjectives in the sentence presented above are “six”, “orbiter's”, “three”, “bright”, and “red”. The explanation is the following:
“six”: The definite numeral adjective “six” modifies the noun “seconds”.
“orbiter's” and “three”: The genitive case “orbiter’s” is used as an adjective, together with the definite numeral adjective “three”, to modify the noun “engines”.
“bright” and “red”: The adjectives “bright” and “red” are used to modify the noun “flames”.