Automatic transmission

An automatic transmission that changes rotation of an input shaft rotated by a power of a drive source to have any of a plurality of speeds and outputs the rotation through an output member, the automatic transmission comprising:

• a first planetary gear mechanism comprising a first single-pinion planetary gear mechanism including three elements that are a first sun gear, a first ring gear, and a first carrier that rotatably and revolvably supports a first pinion that meshes with the first sun gear and the first ring gear, the first sun gear, the first carrier, and the first ring gear respectively corresponding to a first element, a second element, and a third element in a velocity diagram where the first sun gear, the first carrier, and the first ring gear are arranged in an order of distance corresponding to a gear ratio;
• a second planetary gear mechanism comprising a second single-pinion planetary gear mechanism including three elements that are a second sun gear, a second ring gear, and a second carrier that rotatably and revolvably supports a second pinion that meshes with the second sun gear and the second ring gear, the second sun gear, the second carrier, and the second ring gear respectively corresponding to a fourth element, a fifth element, and a sixth element in a velocity diagram where the second sun gear, the second carrier, and the second ring gear are arranged in an order of distance corresponding to a gear ratio, the fourth element being connected to the first element of the first planetary gear mechanism to form a first connected body;
• a third planetary gear mechanism comprising a double-pinion planetary gear mechanism including three elements that are a third sun gear, a third ring gear, and a third carrier that rotatably and revolvably supports a pair of third pinions that mesh with each other, one of the pair of third pinions meshing with the third sun gear and another pinion of the pair of third pinions meshing with the third ring gear, the third carrier, the third ring gear, and the third sun gear respectively corresponding to a seventh element, an eighth element, and a ninth element in a velocity diagram where the third sun gear, the third carrier, and the third ring gear are arranged in an order of distance corresponding to a gear ratio, the ninth element being connected to the third element of the first planetary gear mechanism to form a second connected body, the eighth element being connected to the fifth element of the second planetary gear mechanism to form a third connected body that is connected to the output member;
• a first engagement mechanism that releasably connects the input shaft to the sixth element;
• a second engagement mechanism that releasably connects the first connected body to the seventh element;
• a third engagement mechanism that releasably connects the input shaft to the second element;
• a fourth engagement mechanism that releasably fixes the sixth element to a transmission case;
• a fifth engagement mechanism that releasably fixes the seventh element to the transmission case;
• and
• a sixth engagement mechanism that releasably fixes the second connected body to the transmission case.