Development of a method for calculating the velocity and position of the flying objects using measurements of acceleration

The problem concerns the methodology of determining the speed (the first time integral) and the route (the second time integral) of the acceleration measurements recorded by the accelerometers placed at different points in flying objects.

Inside the flying object (in general 3D rigid body) there will be placed accelerometers (measuring acceleration in three orthogonal axes). In general it may be a plurality of accelerometers and they can be located in different parts of the body . Method should be developed to optimize placement of accelerometers and method for determining the speed and the position as a function of time in the 3D system of coordinates. The flying objects are exposed to real vibration (additional parasitic acceleration) associated with the vibrations of working motor or air flow. In addition, the measurement of acceleration is vitiated by an error related to the inertia of the accelerometers and the discretization measurements. The work should propose a method for compensating these errors.

In order to verify the proposed method the developed algorithms will be fed with the data obtained during the actual flight of test rocket at the altitude up to 10 km, with accelerations of up to 20 g (1 g = 9.81 m / sec^2) . The obtained results: velocity and position will be compared with the results obtained using GPS.