Cooling scheme for hydrostatic transmission

A system, the system comprising:

• a gearbox, the gearbox including:
• a gearbox housing having a first gearbox fluid passage and a second gearbox fluid passage, the first and second gearbox fluid passages being integrated into the gearbox housing, and
• a plurality of clutch members;
• and
• a hydraulic machine connected to the gearbox by a working fluid circuit, the hydraulic machine including:
• a case having a first hydraulic machine fluid passage and a second hydraulic machine fluid passage, the first and second hydraulic machine fluid passages being integrated into the case, and
• a set of rotating elements enclosed within the case,
• wherein the first gearbox fluid passage and the first hydraulic machine fluid passage are aligned in one-to-one correspondence to form a feed passage, the feed passage configured to conduct fluid at a first pressure from a first source to the set of rotating elements, wherein the second gearbox fluid passage and the second hydraulic machine fluid passage are aligned in one-to-one correspondence to form a charge passage, the charge passage configured to conduct fluid at a second pressure from a second source to the set of rotating elements, and wherein the first pressure is less than the second pressure.