Invariant Dynamics of Flight Vehicles under Rotating Reference Frames.

Abstract

A tensor formalism is introduced for the concise presentation of the equations of motion of flight vehicles. Two new concepts, the rotational time derivative and the generalized Euler transformation, enable a formulation of the equations of motion that is invariant under time-dependent coordinate transformations. Several dynamic equations are derived for non-inertial reference frames and arbitrary points of reference. As an application, the new concepts are employed to provide an alternate derivation of the equations of motion for dual-spin spacecraft and thus to clarify the proper transformation of vector time derivatives.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1974
Accession Number
ADA007671

Entities

People

  • Peter H. Zipfel

Tags

DTIC Thesaurus Topics

  • Dynamics
  • Equations
  • Equations Of Motion
  • Spacecraft
  • Vehicles

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers