Main Catalog Aviation and Rocket-Space Engineering Aircraft Dynamics, Ballistics, Motion Control

Features of the use of Earth’s gravity models in applied problems of ballistics

Authors: Kolesnikova D.S.
Published in issue: #9(62)/2021
DOI: 10.18698/2541-8009-2021-9-737
Category: Aviation and Rocket-Space Engineering \| Chapter: Aircraft Dynamics, Ballistics, Motion Control
Keywords: total vector of gravitational field strength, anomalous gravitational field, general terrestrial ellipsoid, Krasovsky ellipsoid, Cleraud ellipsoid, model of the Earth’s figure, mathematical modeling, trajectory of an aircraft
Published: 23.09.2021

The author considered various gravitational models used in calculating the trajectories of movement of flying vehicles. A comparative analysis is carried out of approaches to determining the full vector of the gravitational field strength corresponding to various models approximating the Earth’s surface: a sphere, Krasovsky’s biaxial ellipsoid, and a common terrestrial ellipsoid. Mathematical models are proposed for calculating the acceleration of gravity according to the three considered methods. A mathematical model of the movement of a “surface-to-surface” class aircraft has been formed, which makes it possible to estimate the accuracy of hitting the area of the specified target for various gravity models. The estimation of methodological errors of the Earth models is carried out. Recommendations on the appropriateness of using a particular model are formulated.

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