Infopaket

Celestial Mechanics

ВК9.1

Вибіркова дисципліна для ОП

First

2023/2024

1 Semester

7

obtaining deep and systematic knowledge of methods and instruments of celestial mechanics research, which includes mastering knowledge of modern methods of celestial mechanics and their use in practice, as well as the errors of experimental research (observations), the features of methods for processing and interpreting observation data, and generalizing the results obtained. Developing the ability to search, process and analyze information from various sources, including electronic resources, and the ability of students to think abstractly, analyze and synthesize material from various physical, mathematical and computer disciplines.

Full-time form

Know the basic laws of mechanics, molecular physics, electricity, radio electronics, optics, atomic physics and quantum mechanics, the basics of mathematical physics. Have basic knowledge from courses in general and practical astrophysics. Be able to apply previous knowledge from courses in higher mathematics and physics. Possess the basics of differential and integral calculus. Possess elementary skills in calculating derivatives, integrals, actions and operations with vectors, graphically construct graphs of functions, define and expand functions into a series and Fourier integral.

The course program is oriented towards students who are already familiar with the basics of higher mathematics and sections of experimental physics. The learning outcomes are to acquire knowledge about the current state of the study of the motions of objects and celestial bodies. The methods of celestial mechanics have specific features compared to the general methods of mechanics. The study of the two-body problem, methods of perturbations for motion in a gravitational field in the presence of light pressure forces, atmospheric braking and other perturbations is the main component of the course. The equations of Lagrange, Euler, Newton and many other examples are analyzed and studied.

Bannikova Elena, Capaccioli Massimo. Foundations of Celestial Mechanics. Textbook. Springer, 2022. 392 pp. ISSN 1868- 4513 ISSN 1868-4521 (electronic) ISBN 978-3-031- 04575-2 ISBN 978-3-031-04576-9

Lectures

Semester assessment: 1. Tests: 2, each – 15 points 2. Short independent tasks – 10 points - final assessment (in the form of an exam/complex exam, differentiated assessment): Exam – 60 points - conditions for admission to the final exam: at least 10 points during the semester

Ukrainian