The book "Conversations on ways to determine the orbits of comets and planets by a small number of observations" by A. N. Krylov is a unique work that combines deep scientific knowledge and accessible style of presentation. This work, written in a fascinating form, opens the world of astronomy and mathematical modeling to the reader, allowing him to understand how astronomers calculate the orbits of celestial bodies, such as comets and planets, using a limited number of observations. A. N. Krylov, an outstanding Russian mathematician and astronomer, is known for his significant contributions to the theory of astrodynamics. His work often explores complex concepts, making them accessible to a wide audience. In this book, the author uses a dialogue form, which makes the material more lively and interactive. The reader becomes not just an observer, but an active participant in the conversation, which allows him to better assimilate complex scientific ideas. The book will be of interest to both undergraduate and graduate students studying astronomy and science lovers who want to deepen their knowledge of methods for determining the orbits of celestial bodies. It is suitable for those who are fond of mathematics, physics and astronomy, as well as for those who are looking for a way to expand their horizons in the field of natural sciences. The age category of readers can vary from high school students to adults interested in science and technology. The topics raised in the book cover not only the methods of calculating orbits, but also the philosophical aspects of scientific knowledge. Krylov discusses how data limitations affect the accuracy of calculations and how astronomers cope with this problem. It emphasizes the importance of observations and their interpretation, as well as the role of intuition and experience in scientific work. These aspects make the book not only a textbook, but also a source of inspiration for reflection on the nature of science and its methods. Krylov’s style is clear and logical, which allows the reader to easily follow his thoughts. He masterfully uses examples and analogies to explain complex concepts, making them understandable even to those who do not have a deep knowledge of mathematics or astronomy. This quality makes his books in demand among a wide audience, and "Conversations on how to determine the orbits of comets and planets" is no exception. If you are looking for literature that combines scientific rigor and fascinating exposition, then this book will be an excellent choice. It can be an excellent addition to the library of anyone interested in astronomy and mathematics. Krylov is also known for his other works, such as The Course in Astronomy and Fundamentals of Astrodynamics, which are also noteworthy and may be of interest to those who want to deepen their knowledge in this field. Thus, “Conversations on how to determine the orbits of comets and planets from a small number of observations” is not just a book, but a whole world worth diving into. It opens the door to the fascinating world of astronomy, inviting the reader to become part of this exciting journey through the vast expanse of space. Do not miss the opportunity to learn how astronomers predict the movements of celestial bodies, and how mathematics helps us understand the universe.