STUDY OF THE MOTION OF A BODY IN A CENTRAL GRAVITATIONAL FIELD BY NUMERICAL METHODS
DOI:
https://doi.org/10.51452/kazatu.2021.2(109).602Keywords:
two-body problem, gravitational field, central symmetric force, dimensionality, differential equations, numerical methods, Mathcad package, Kepler's laws, sectorial velocity.Abstract
The article is devoted to the study of the movements of celestial bodies in the field of the central gravitational force. The differential equations of motion of two interacting bodies are considered. For these equations, the method of dedimensionalization was used. The differential equations were solved graphically using the MathCAD package. Numerical data of the first and second Kepler laws are obtained by numerical methods. Numerical and graphical results of the motion of a body in the field of central forces are studied using the Mathcad package. The eccentricity of the elliptical orbit of the body is calculated and the length of the semi-axes of this orbit is determined on the basis of numerical methods. It is proved that the sectorial velocity of the planet is a constant value.
