Free piston engine using exhaust gas for providing increased thrust to an aircraft turbine engine

A linear to rotary motion engine system having a pair of free piston engines attached to a power drive for converting linear motion to rotational motion and used for providing power augmentation to an aircraft turbine engine, the engine system comprising:

• a first central cylinder with a central piston slidably mounted therein, the central cylinder including fuel intake valves, for receiving fuel therein, and exhaust ports, for exiting hot exhaust gases to the turbine engine, a piston drive shaft extending outwardly from opposite sides of the first central piston, a central cylinder spark plug for igniting fuel received inside of the first central cylinder, a first bored push rod, one end of the first bored push rod attached to the piston drive shaft, a first intake piston slidably mounted inside a first intake cylinder, the first intake piston attached to a first opposite end of the first bored push rod, a second bored push rod, one end of the second bored push rod attached to the piston drive shaft, a second intake piston slidably mounted inside a second intake cylinder, the second intake piston attached to an opposite end of the second bored push rod;
• a second central cylinder parallel to the first central cylinder, the second central cylinder having with a central piston slidably mounted therein, the second central cylinder including fuel intake valves, for receiving fuel therein, and exhaust ports, for exiting hot exhaust gases to the turbine engine, a piston drive shaft extending outwardly from opposite sides of the first central piston, a central cylinder spark plug for igniting fuel received inside the second central cylinder, a first bored push rod, one end of the first bored push rod attached to the piston drive shaft, a first intake piston slidably mounted inside a first intake cylinder, the first intake piston attached to an opposite end of the first bored push rod, a second bored push rod, one end of the second bored push rod attached to the piston drive shaft, a second intake piston slidably mounted inside a second intake cylinder, the second intake piston attached to an opposite end of the second bored push rod;
• a first square shaft and disposed between the first and second central cylinders, ends of the square shaft connected to 90 degree square shaft extensions, the extensions connected to the first central cylinder's first and second bored push rods;
• a second square shaft parallel to the first square shaft and disposed between the first and second central cylinders, the second square shaft connected to 90 degree square shaft extensions, the extensions connected to the second cylinder's first and second bored push rods;
• a output rotary shaft disposed between the first and second square shafts and parallel thereto;
• and eccentric connection connected to the ends of the first and second square shaft and connected to a portion of the output rotary shaft for converting the linear motion of the square shafts to rotary motion on the rotary shaft.