Abstract: A multi-stage solid rocket in accordance with this disclosure includes a first or primary solid fuel core that operates as a standard solid rocket. A secondary solid fuel core may be “wrapped around” the primary solid fuel core in a layered arrangement so as to use the same casing. The secondary solid fuel core can be configured with an insufficient amount of oxidizer to burn by itself or to be ignited by the primary solid fuel core during its burn. The oxidizer necessary to enable a secondary solid fuel core burn can be controllably released from a secondary source to permit variable thrust generation. Subsequent cores may be wrapped around prior cores and configured with insufficient amounts of oxidizer to be ignited by any prior core. The oxidizer necessary to enable any subsequent core burn may also be controllably released to permit variable thrust generation.