Astronomy and Space Science
天文學與太空科學
Unit Overview
Astronomy is the earliest science to emerge in history. The methods of measurement and the ways of thinking developed by early astronomers laid the foundation of scientific methods which influenced the development of science for centuries. The quest for a perfect model of the universe in the Renaissance eventually led to the discovery of Newton’s law of universal gravitation and the laws of motion. This had a profound influence on the subsequent rapid development in physics. Using physical laws in mathematical form to predict natural phenomena, and verifying these predictions with careful observation and experimentation, as Newton and other scientists did some three hundred years ago, has become the paradigm of modern physics research. Physics has become the cornerstone of modern astronomy, revolutionising our concepts of the universe and the existence of humankind. Modern developments in space science, such as the launch of spacecraft and artificial satellites, still rely on Newtonian physics. In this topic, students have an opportunity to learn principles and scientific methods underpinning physics, and to appreciate the interplay between physics and astronomy in history, through studying various phenomena in astronomy and knowledge in space science. Students are first given a brief introduction to the phenomena of the universe as seen in different scales of space. They are also encouraged to perform simple astronomical observations and measurements. Through these processes, they can acquire experimental skills, and become more familiar with the concept of tolerance in measurement. A brief historic review of geocentric model and heliocentric model of the universe serves to stimulate students to think critically about how scientific hypotheses were built on the basis of observation. Kepler’s third law and Newton’s law of gravitation are introduced with examples of astronomy. Kepler’s third law for circular orbits is derived from the law of gravitation and concepts of uniform circular motion, including centripetal acceleration. Besides the motion of planets, moons and satellites, latest astronomical discoveries can also serve as examples to illustrate the applications of these laws. The concepts of mass and weight are applied. Feeling weightlessness in a spacecraft orbiting the Earth is explained in terms of the fact that acceleration under gravity is independent of mass. The expression for gravitational potential energy can be obtained from the law of gravitation and work-energy theorem. Motions of artificial satellites are explained by the conservation of mechanical energy in their orbits. The meaning of escape velocity, together with its implications for the launching of a rocket, are introduced. In the last part of this topic, students are exposed to astronomical discoveries, including the basic properties and classification of stars and the expansion of the universe. As only a simple, heuristic and qualitative understanding of these topics is expected, students are encouraged to learn actively by reading popular science articles and astronomical news – which promotes self-directed learning. Also, oral or written presentation of what they have learned may serve to improve their communication skills.
核心概念
Universe Scales, Powers of Ten and Distance Units
宇宙尺度、數量級與距離單位Hierarchy of structures from satellites to galaxy clusters using ‘Powers of Ten’ thinking; defining and using the astronomical unit (AU) and light year (ly) as distance scales.
Historical Models, Galileo and Kepler’s Laws
天文模型史、伽利略與克卜勒定律Geocentric vs heliocentric explanations of planetary motion on the celestial sphere; Galileo’s key telescopic discoveries and why they mattered; qualitative statement of Kepler’s laws for planetary motion.
Newton’s Gravitation and Kepler’s Third Law
牛頓萬有引力與克卜勒第三定律Newton’s law of universal gravitation for circular motion; deriving T² ∝ r³ for circular orbits; stating the elliptical form T² = 4π²a³ / (GM); applying Kepler III to problems.