PIGA accelerometer
Encyclopedia
A PIG accelerometer is a type of accelerometer
that can measure acceleration and simultaneously integrates this acceleration against time to produce a speed measure as well. The PIGA's main use is in Inertial Navigation System
s (INS) for guidance of aircraft and most particularly for ballistic missile
guidance. It is valued for its extremely high sensitivity and accuracy in conjunction with operation over a wide acceleration range. The PIGA is still considered the premier instrument for strategic grade missile guidance, though systems based on MEMS
technology are attractive for lower performance requirements.
is attached such that it would restrain the pendulum against "falling" in the direction of acceleration. The pendulous mass and its attached gyroscope are themselves mounted on a pedestal that can be rotated by an electric torque motor. The rotational axis of this pedestal is mutually orthogonal to the spin axis of the gyroscope as well as the axis that the pendulum is free to move in. The axis of rotation of this pedestal is also in the direction of the measured acceleration.
The position of the pendulum is sensed by precision electrical contacts or by optical or electromagnetic means. Should acceleration displace the pendulum arm from its null position the sensing mechanism will operate the torque motor and rotate the pedestal such that the property of gyroscopic precession restores the pendulum to its null position. The rate of rotation of the pedestal gives the acceleration while the total number of rotations of the shaft gives the speed, hence the term integrating in the PIGA acronym. A further level of integration of shaft rotations by either electronic means or by mechanical means, such as a ball and disk integrator, can record the displacement or distance traveled, this latter mechanical method being used by early guidance systems prior to the availability of suitable digital computers.
In most implementations of the PIGA the gyroscope itself is cantilevered on the end of the pendulum arm to act as the pendulous mass itself. Up to three such instruments may be required for each dimension of an INS with the three accelerometers mounted orthogonally generally on a platform stabilized gyroscopically within a system of gimbals.
A critical requirement for accuracy is low static friction (stiction
) in the bearings of the pendulum; this is achieved by various means ranging from double ball bearing
with a superimposed oscillatory motion to dither the bearing above its threshold or through the use of gaseous or fluid bearings or by the alternative method of floating the gyroscope in a fluid and restraining the residual mass by jewel bearing
s or electromagnetic means. Although this later method still has the viscous friction of the fluid this is linear and has no threshold and has the advantage of having minimal static friction. Another aspect is the accurate control of the gyroscope's rotational rate.
Missiles using PIGAs were the Polaris
, Titan, Redstone
, Jupiter, Saturn Series and MX Peacekeeper.
, then of the Kreiselgeraete Company, for the LEV-3 and experimental SG-66 guidance system of the Nazi era German V2
(EMW A4) ballistic missile and was known among the German rocket scientists as the MMIA "Mueller Mechanical Integrating Accelerometer". This system used precision electrical contacts to actuate the torque motor and achieved an accuracy of 1 part in 1000 to 1 part per 10000 known in technical parlance as a scale error of 1000 to 100. This was equivalent to about 600m of accuracy over the V2 1500m/s speed and 320km flight. Since the number of shaft rotations represented speed a cam switch was used to initiate missile control sequences such as engine throttle down and shut off. PIGA accelerometers mounted in the AIRS (Advanced Inertial Reference Sphere) are part of most accurate inertial navigation (INS) developed for the MX Missile. The INS drift rates are less than 1.5 x 10-5 degrees per hour of operation, about 8.5m per hour with the overall accuracy of the missile effected more by defects in the gravitational maps.
A recovered MMIA accelerometer from an unexploded V2 was presented to Dr Charles Stark Draper of the United States's MIT instrumentation lab who had been developing the basis of inertial navigation for aircraft by initially concentrating efforts on achieving extremely low drift rate gyroscopes known as a floated integrating gyroscope. Draper combined ideas from his integrating gyroscopes, which were mounted in cans that floated in fluids that were held in place by jeweled bearings, with the recovered V2 accelerometer by floating the pendulum-gyroscope portion. The more generic name of PIGA was suggested by Dr Draper due to the addition of various refinements such as electromagnetic or optical sensing of pendulum position. Such accelerometers were used in the Titan II and Polaris Systems and Minuteman systems. At the Redstone Arsenal and the adjoining Marshall Space Flight Center, near Huntsville Alabama the contingent of ex German rocket scientists which had been brought into the United States under Operation Paperclip, including Dr Mueller, continued to refine their original instruments in conjunction with American engineers and scientists. At the suggestion of Dr Mueller, the technically difficult task of replacing the original ball bearings with gaseous bearings was achieved. Initially compressed nitrogen was used but later fluorocarbons which had the advantage of being recyclable on board the missile or aircraft during extended waiting periods was used. Hence US accelerometers either consisted of the floated type or the gaseous bearing type with the US Army and US Space program relying on the later type of instrument.
Accelerometer
An accelerometer is a device that measures proper acceleration, also called the four-acceleration. This is not necessarily the same as the coordinate acceleration , but is rather the type of acceleration associated with the phenomenon of weight experienced by a test mass that resides in the frame...
that can measure acceleration and simultaneously integrates this acceleration against time to produce a speed measure as well. The PIGA's main use is in Inertial Navigation System
Inertial navigation system
An inertial navigation system is a navigation aid that uses a computer, motion sensors and rotation sensors to continuously calculate via dead reckoning the position, orientation, and velocity of a moving object without the need for external references...
s (INS) for guidance of aircraft and most particularly for ballistic missile
Ballistic missile
A ballistic missile is a missile that follows a sub-orbital ballistic flightpath with the objective of delivering one or more warheads to a predetermined target. The missile is only guided during the relatively brief initial powered phase of flight and its course is subsequently governed by the...
guidance. It is valued for its extremely high sensitivity and accuracy in conjunction with operation over a wide acceleration range. The PIGA is still considered the premier instrument for strategic grade missile guidance, though systems based on MEMS
Microelectromechanical systems
Microelectromechanical systems is the technology of very small mechanical devices driven by electricity; it merges at the nano-scale into nanoelectromechanical systems and nanotechnology...
technology are attractive for lower performance requirements.
Principle of operation
The sensing element of a PIGA is a pendulous mass free to pivot by being mounted on a bearing. A spinning gyroscopeGyroscope
A gyroscope is a device for measuring or maintaining orientation, based on the principles of angular momentum. In essence, a mechanical gyroscope is a spinning wheel or disk whose axle is free to take any orientation...
is attached such that it would restrain the pendulum against "falling" in the direction of acceleration. The pendulous mass and its attached gyroscope are themselves mounted on a pedestal that can be rotated by an electric torque motor. The rotational axis of this pedestal is mutually orthogonal to the spin axis of the gyroscope as well as the axis that the pendulum is free to move in. The axis of rotation of this pedestal is also in the direction of the measured acceleration.
The position of the pendulum is sensed by precision electrical contacts or by optical or electromagnetic means. Should acceleration displace the pendulum arm from its null position the sensing mechanism will operate the torque motor and rotate the pedestal such that the property of gyroscopic precession restores the pendulum to its null position. The rate of rotation of the pedestal gives the acceleration while the total number of rotations of the shaft gives the speed, hence the term integrating in the PIGA acronym. A further level of integration of shaft rotations by either electronic means or by mechanical means, such as a ball and disk integrator, can record the displacement or distance traveled, this latter mechanical method being used by early guidance systems prior to the availability of suitable digital computers.
In most implementations of the PIGA the gyroscope itself is cantilevered on the end of the pendulum arm to act as the pendulous mass itself. Up to three such instruments may be required for each dimension of an INS with the three accelerometers mounted orthogonally generally on a platform stabilized gyroscopically within a system of gimbals.
A critical requirement for accuracy is low static friction (stiction
Stiction
Stiction is the static friction that needs to be overcome to enable relative motion of stationary objects in contact. The term is a portmanteau of the term "static friction", perhaps also influenced by the verb "stick"....
) in the bearings of the pendulum; this is achieved by various means ranging from double ball bearing
Ball bearing
A ball bearing is a type of rolling-element bearing that uses balls to maintain the separation between the bearing races.The purpose of a ball bearing is to reduce rotational friction and support radial and axial loads. It achieves this by using at least two races to contain the balls and transmit...
with a superimposed oscillatory motion to dither the bearing above its threshold or through the use of gaseous or fluid bearings or by the alternative method of floating the gyroscope in a fluid and restraining the residual mass by jewel bearing
Jewel bearing
A jewel bearing is a plain bearing in which a metal spindle turns in a jewel-lined pivot hole. The hole is typically shaped like a torus and is slightly larger than the shaft diameter. The jewel material is usually synthetic sapphire...
s or electromagnetic means. Although this later method still has the viscous friction of the fluid this is linear and has no threshold and has the advantage of having minimal static friction. Another aspect is the accurate control of the gyroscope's rotational rate.
Missiles using PIGAs were the Polaris
Polaris
Polaris |Alpha]] Ursae Minoris, commonly North Star or Pole Star, also Lodestar) is the brightest star in the constellation Ursa Minor. It is very close to the north celestial pole, making it the current northern pole star....
, Titan, Redstone
Redstone
-Military:* Redstone , a U.S. missile* USNS Redstone , , a Vanguard Class Range Instrumentation Ship* Redstone Arsenal, Alabama, a U.S...
, Jupiter, Saturn Series and MX Peacekeeper.
History
The PIGA was based on an accelerometer developed by Dr Fritz MuellerFritz Mueller
Fritz K. Mueller was a German engineer.Mueller was hired by Kreiselgeräte Company in 1933. He developed the PIGA accelerometer. and worked on gyroscopes for the German Navy...
, then of the Kreiselgeraete Company, for the LEV-3 and experimental SG-66 guidance system of the Nazi era German V2
V-2 rocket
The V-2 rocket , technical name Aggregat-4 , was a ballistic missile that was developed at the beginning of the Second World War in Germany, specifically targeted at London and later Antwerp. The liquid-propellant rocket was the world's first long-range combat-ballistic missile and first known...
(EMW A4) ballistic missile and was known among the German rocket scientists as the MMIA "Mueller Mechanical Integrating Accelerometer". This system used precision electrical contacts to actuate the torque motor and achieved an accuracy of 1 part in 1000 to 1 part per 10000 known in technical parlance as a scale error of 1000 to 100. This was equivalent to about 600m of accuracy over the V2 1500m/s speed and 320km flight. Since the number of shaft rotations represented speed a cam switch was used to initiate missile control sequences such as engine throttle down and shut off. PIGA accelerometers mounted in the AIRS (Advanced Inertial Reference Sphere) are part of most accurate inertial navigation (INS) developed for the MX Missile. The INS drift rates are less than 1.5 x 10-5 degrees per hour of operation, about 8.5m per hour with the overall accuracy of the missile effected more by defects in the gravitational maps.
A recovered MMIA accelerometer from an unexploded V2 was presented to Dr Charles Stark Draper of the United States's MIT instrumentation lab who had been developing the basis of inertial navigation for aircraft by initially concentrating efforts on achieving extremely low drift rate gyroscopes known as a floated integrating gyroscope. Draper combined ideas from his integrating gyroscopes, which were mounted in cans that floated in fluids that were held in place by jeweled bearings, with the recovered V2 accelerometer by floating the pendulum-gyroscope portion. The more generic name of PIGA was suggested by Dr Draper due to the addition of various refinements such as electromagnetic or optical sensing of pendulum position. Such accelerometers were used in the Titan II and Polaris Systems and Minuteman systems. At the Redstone Arsenal and the adjoining Marshall Space Flight Center, near Huntsville Alabama the contingent of ex German rocket scientists which had been brought into the United States under Operation Paperclip, including Dr Mueller, continued to refine their original instruments in conjunction with American engineers and scientists. At the suggestion of Dr Mueller, the technically difficult task of replacing the original ball bearings with gaseous bearings was achieved. Initially compressed nitrogen was used but later fluorocarbons which had the advantage of being recyclable on board the missile or aircraft during extended waiting periods was used. Hence US accelerometers either consisted of the floated type or the gaseous bearing type with the US Army and US Space program relying on the later type of instrument.