A TENSOR CLOSED-FORM SOLUTION OF TWO-BODY PROBLEM IN ROTATING REFERENCE FRAME

  • Daniel CONDURACHE “Gheorghe Asachi” Technical University of Iasi, Department of Theoretical Mechanics
  • Ana Maria COMANICI “Gheorghe Asachi” Technical University of Iasi, Department of Theoretical Mechanics

Abstract

The paper presents a comprehensive analysis, together with the derivation of a closed-form solution to the two-body problem in rotating non-inertial reference frames. By using an efficient tensor mathematical instrument, which is closely related to the attitude kinematics methods, the motion in the rotating non-inertial reference frame is completely solved. The closed-form solutions for the motion in the non-inertial frame, the motion of the mass center, and the relative motion are presented. Dynamical characteristics similar to linear momentum, angular momentum, and total energy are introduced.

Published
Jan 26, 2022
How to Cite
CONDURACHE, Daniel; COMANICI, Ana Maria. A TENSOR CLOSED-FORM SOLUTION OF TWO-BODY PROBLEM IN ROTATING REFERENCE FRAME. Romanian Journal of Mechanics, [S.l.], v. 6, n. 2, p. 31-45, jan. 2022. ISSN 2537-5229. Available at: <http://journals.srmta.ro/index.php/rjm/article/view/155>. Date accessed: 22 jan. 2025.
Citation Formats
Issue
Vol 6 No 2 (2021): ROMANIAN JOURNAL OF MECHANICS
Section
Articles
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