ASTRONOMY & ASTROPHY OLYMP (V1)

This three-volume collection presents a unique set of original problems and solutions tailored to aspiring astronomers and astrophysicists participating in Olympiads and other competitions. The problems included cover a broad spectrum of relevant topics in astronomy and astrophysics, carefully curated by an author with extensive experience crafting problems for national and international Olympiad competitions. These books are designed to inspire critical thinking and sharpen problem-solving skills, enriching students' understanding and enjoyment of physics beyond the standard school curriculum. Each problem is accompanied by helpful diagrams and detailed solutions, providing readers with clear insights into the underlying physics and mathematical reasoning.

Ideal for students, teachers, and mentors preparing for national and international competitions, these books are an indispensable resource for those eager to delve deeper into the wonders of the universe. Whether used for independent study or as a teaching aid, this series offers both intellectual stimulation and practical guidance. This first volume begins by introducing 16 key 'topics' of astronomy and astrophysics, providing foundational tools that will help the reader fully engage with the problems and solutions to follow.

Contents:

• Foreword
• Elements of Spherical Trigonometry
• Determining the Masses of Visual Binary Stars
• Double Stars
• The Two-Body Problem
• The Mass of a Binary Stellar System and the Virial Theorem
• The Masses of the Capella Star's Components
• Radial Velocities
• Light Curves
• Exoplanets
• The Apparent Orbit of a Secondary Star
• The Equations of the Eclipses
• Bolometric Magnitudes
• The Virial Theorem and the Movements of the Planets
• Kepler's Third Law in a New Formulation
• Foucault Pendulum
• The Precession of a Foucault Pendulum and the Action of the Coriolis Force on a Conical Pendulum
• Capella Stellar System
• Convergent Proper Motion
• Exoplanet and Host Star
• Intergalactic Cloud
• A Star's Image Contrast
• The Alpha Centauri Star System
• Binary Star System in Eclipse
• The Horizontal Diurnal Parallax or the Sun
• The Equatorial Horizontal Diurnal Parallax of the Moon
• Maximum Radial Velocities
• Radial Velocity
• Ocean Tides Caused by the Moon
• Venus' Rotation
• And a Star Was Born!
• Star Aberration
• Annual Parallax Corrections or Stars
• Apparent and Relative Orbits
• The Spectroscopic Binary System HR 8800
• A Star and the Virial Theorem
• Solar Annular Eclipse
• Resonant Orbits
• The Ratio Densities or the Planets
• The Asteroid Julietta
• Distance to Black Hole
• The Eccentricity of a Satellite's Orbit
• Atmospheric Optical Depth
• Density of a Cluster
• Radio Signal
• Venus — A Black Body
• Cloud of Hydrogen
• Mass of a Cosmic Object
• Travel Time of a Proton
• Power of the Tide
• Static Universe
• Flying from Lima to Yogyakarta
• A Planet and Its Moon
• Neutron Star or Black Hole?
• Star or Neutral Particles
• The Star Cepheid HV2257
• Artificial Satellites
• The Launched Satellite
• A Space Station Reunites With a Satellite
• Other Books by Mihail Sandu

Readership: This book is targeted at high school students and their teachers preparing for Astronomy and Astrophysics Olympiad competitions, or those wanting to extend their physics instruction beyond the school curriculum. This book may also appeal to undergraduate students in astronomy and physics.