Geared continuoulsly variable transmission

A transmission, comprising:

• a first shaft, extending along a first shaft longitudinal axis, the first shaft being supported by a first bearing and rotatable about the first shaft longitudinal axis;
• a first sun gear, fixed to and rotatable with the first shaft;
• a first ring gear, aligned with and rotatable about the first shaft, and including inner teeth that surround and are spaced radially from the first sun gear;
• a first planetary carrier, aligned with and rotatable about the first shaft;
• a first pinion gear, supported by the first planetary carrier and positioned between, and concurrently engaged with, the first sun gear and the inner teeth of the first ring gear;
• a second shaft, extending along a second shaft longitudinal axis, and supported by a second bearing and rotatable about the second shaft longitudinal axis;
• a second sun gear, fixed to and rotatable with the second shaft;
• a second ring gear, aligned with and rotatable about the second shaft, the second ring gear including inner teeth that surround and are spaced radially from the second sun gear;
• a second planetary carrier, aligned with and rotatable about the shaft;
• a second pinion gear, supported by the second planetary carrier, and positioned between and concurrently engaged with the second sun gear and the inner teeth of the second ring gear;
• a first interface shaft and gear assembly, supported by and rotatable within first interface shaft bearings, coupled to and rotatable by the first ring gear, and coupled to the second ring rear in a configuration wherein a rotation of the first interface shaft and gear assembly rotates the second ring gear;
• a hydraulic pump, mechanically coupled to and driven by the first interface shaft and gear assembly, and configured to output a hydraulic fluid at a volume flow rate corresponding a rotational speed of the first interface shaft and gear assembly;
• a hydraulic motor, configured to receive through a hydraulic conduit the hydraulic fluid output of the hydraulic pump, and to rotate at a rate proportional to the volume flow rate;
• and
• a second interface shaft and gear assembly, supported by and rotatable within second interface shaft bearings, and coupled to the hydraulic motor and to the first planetary carrier and to the second planetary carrier, and configured to transfer a rotation of the hydraulic motor to a rotation of the first planetary carrier and to a rotation of the second planetary carrier.