Body axis model for rigid space motion

Abstract

The invention discloses a body axis model for rigid space motion. By using the model and defining a three ary number, the expression of a rigid motion gesture is obtained, and the problem of gesture equation singularity is avoided, in addition, three components of speed and the expression of a height motion model are further obtained according to the three ary number, so that a rigid main motion state model is obtained; and a rigid motion equation is greatly simplified through introducing the three ary number, no singular point exists in the motion equation, and the model is convenient to use in engineering.

Description

technical field [0001] The invention relates to a space motion rigid body model, in particular to a modeling method for an output model of an aircraft's large maneuvering flight state. Background technique [0002] The differential equation of rigid body motion of the body shaft system is the basic equation describing the space motion of aircraft, torpedo, and spacecraft. Usually, in applications such as data processing, the state variables of the body axis system mainly include three velocity components, three Euler angles, and the X of the ground coordinate system. E , Y E ,Z E etc., due to Z E is defined as the vertical ground pointing towards the center of the earth, so Z E The actual negative flight altitude; X E , Y E Usually mainly rely on GPS, GNSS, Beidou, etc. to give directly; the Euler angle represents the attitude of the rigid body in space, and the differential equation describing the attitude of the rigid body is the core. Usually, the three Euler angles...

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Problems solved by technology

[0004] In order to overcome the problem of large output error of the existing rigid body motion model, the present invention provides a modeling method of the body shaft system of the rigid body space motion. The model obtains the expression of the motion attitude of the rigid body by defining the ternary number, and avoids the singularity of the attitude equation The problem is to further obtain the expression of the three components of velocity and the motion model of height according to the ternion, so as to obtain the model of the main motion state of the rigid body

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