Убедив руководство СССР в том, что ВМФ нужно усиливать и сбалансировать, а нашим океанским надводным кораблям необходимо придать ударные функции для повышения боевой устойчивости и расширения их возможностей путем быстрейшего наращивания флотом потенциала противокорабельных ракет, руководство ВМФ уже в 1969 году выдало задание Северному ПКБ (творческому коллективу под руководством В.Д. Рубцова) на проработку вариантов ВПК проекта 1134В, который к тому времени начал строиться. Идея проработок была такова использовать базовый вариант в качестве платформ, на которых создать систему из взаимоподдерживающих кораблей: противолодочных, ударных (с противокорабельными ракетами) и кораблей коллективной ПВО (с зенитными ракетами). Корпус и энергоустановка сохранялись по проекту, изменения касались только кормовой части корабля надстройки и вооружение на ударном варианте заменялись 12 пусковыми установками для комплекса П-500 "Базальт", которые смотрели в корму. На варианте ПВО должны были устанавливаться зенитные ракеты вертикального пуска "Квант" (впоследствии "Форт"). Получались неплохие корабли, способные действовать в составе противолодочной поисковой группы в качестве и полноценных ВПК, и ракетных кораблей прикрытия своего рода корабли охранения ПУГ (американцы такие корабли назвали фрегатами). Прорабатывались варианты с вертолетом и без него.
Позднее, уже в 1986 году, в усеченном виде ЗРК "Форт" был установлен на ВПК проекта 1134В "Азов". В принципе, наш ВМФ подошел достаточно близко к реализации классической кораблестроительной концепции: базовый корпус и энергетика различное вооружение, что позволило бы быстрее и с меньшими затратами строить корабли довольно крупного водоизмещения, равномернее загружать промышленность, варьировать силу корабельных соединений, упрощать освоение новых кораблей экипажам… Вспомним, что в 50-е годы эта концепция была блестяще осуществлена на эсминцах проекта 56.
Проработки были утверждены и началась разработка технического проекта-предполагалось, что начиная со строительного номера С-2007 уже пойдет ракетный вариант. Из-за этого закладка ВПК "Таллин" задерживалась, экипаж несколько раз формировали, затем расформировывали, на флоте его уже начали называть "летучим голландцем" в итоге корабль был заложен и достроен по первоначальному проекту, в противолодочном варианте.
Начавшиеся вдруг колебания и задержки были связаны в основном с тем, что параллельно создавался, "еще лучше", мощный ракетный корабль охранения проект 1165 "Фугас", вооруженный крылатыми ракетами и новым зенитным комплексом "Форт" С-300Ф усиленной комплектации для высокоэффективной коллективной обороны и защиты от низколетящих крылатых ракет. Предпочтение как раз отдавалось ему но в августе 1971 года работы по "Фугасу" прекратили из-за дороговизны (крейсер предполагался атомным)-как часто бывает, что зарубили хорошую идею, еще более лучшую не реализовали, в результате остались ни с чем. Когда флот отказался от строительства кораблей взаимоподдержки на одном корпусе (что приветствовалось в минсудпроме), то Б.Е. Бутома высказался так: "Как всегда, они сами не знают, чего хотят!"
Для того, чтобы хоть что-то было, решили вернуться к проработкам Северного ПКБ, на базе которых было решено создавать более простой и менее дорогостоящий ракетный крейсер (из трех один) третьего поколения на базе технических решений 1134Б. В октябре 1972 года Северному ПКБ было выдано тактико техническое задание на эскизный проект 1164 (шифр "Атлант"), главным конструктором назначили А.К. Перькова, главным наблюдающим от ВМФ-капитана 2 ранга А.Н. Блинова. При полном водоизмещении 10000 тонн вооружение корабля должно было состоять из противокорабельного ракетного комплекса "Базальт" (12 пусковых установок для двух 6 ракетных залпов), зенитных ракетных комплексов "Форт" (8 х 8 ПУ вертикального старта) и "Оса" (2 спаренных установки), двух 100-мм пушек АК-100, автоматов самообороны АК-630, бомбометов РБУ-6000, двух 5 трубных торпедных аппаратов, вертолета корабельного базирования. Был вариант (впоследствии отклоненный) с утопленными в корпус ПУ для главного ракетного комплекса, с двумя 130-мм одноствольными орудиями (ставшими впоследствии по требованию Главкома двухствольными), что вызывало удлинение корабля почти до 200 метров и неприемлемый рост водоизмещения. Нужно было учитывать возможности завода строителя, поэтому размерения "ужали", часть помещений и ракеты были как бы "выдавлены" наверх.
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Прототип крейсера – большой противолодочный корабль типа «Николаев» (проект 1134Б) и варианты проработки ракетного корабля с 8 ПУ на базе БПК 1134Б (1), увеличенный вариант крейсера в период эскизного проекта (2), окончательный вариант крейсера проекта 1164 (3).
В декабре 1972 года состоялось рассмотрение материалов эскизного проекта, по результатам которого лично Главком дал указание добавить еще четыре пусковых установки для осуществления двух полных восьмиракетных залпов, а две артустановки АК-100 заменить на одну двухствольную АК-130. Все было исполнено. Усиление ударной мощи обернулось ростом водоизмещения, снижением скорости хода (с 34 до 32,5 узлов), ограничением углов обстрела носового орудия.