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Kepler’s Second Law of Planetary Motion

Johannes Kepler discovered that planets do not move around the Sun at a constant speed. Instead, a planet travels faster when it is closer to the Sun and slower when it is farther away. Kepler’s Second Law states that an imaginary line joining a planet to the Sun sweeps out equal areas in equal intervals of time. This simulation allows you to investigate this law by creating sectors that represent the area swept out during a chosen time interval. By comparing sectors at different points in the orbit, you can see that equal time intervals produce equal areas, even though the planet’s speed changes continuously along its elliptical path.

This activity is part of our live SpacewardBound sessions delivered in schools across New Zealand.

Earth & Space Science
Astronomy
20mins
Teacher guide

Why is this good to know

Kepler's Second Law helps explain why planets do not move at a constant speed as they orbit the Sun. This discovery was a major step in understanding the motion of objects in space and provided important evidence for the development of Newton's theory of gravity. Today, the same principles are used to predict the motion of planets, moons, satellites, and spacecraft throughout the Solar System.

Learning outcomes

Describe how the speed of a planet changes as it moves through different parts of an elliptical orbit.
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Explain Kepler's Second Law in terms of equal areas being swept out in equal intervals of time.
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Identify the relationship between a planet's distance from the Sun and its orbital velocity.
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Use a scientific model to investigate and explain patterns in planetary motion.
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Interpret graphical and visual evidence to support conclusions about orbital dynamics.
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Compare the motion of different planets and relate orbital characteristics such as eccentricity and orbital period to observed behaviour.
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Communicate scientific explanations using appropriate physics terminology, including orbit, focus, eccentricity, perihelion, aphelion, and orbital period.

Prior knowledge

Students should have prior experience with: Describing motion in terms of distance, speed, and time. Interpreting scientific diagrams and models. Understanding that gravitational attraction governs the motion of planets within the Solar System. Recognising that planetary orbits are elliptical rather than perfectly circular. No prior knowledge of Kepler's Laws is assumed. The simulation is designed to develop understanding of how orbital speed and swept area change throughout an elliptical orbit.

Select a planet and adjust the eccentricity to explore different elliptical orbits. Click anywhere on the orbit to choose a starting point, then create two sectors of equal duration and compare their areas. According to Kepler’s Second Law, equal time intervals sweep out equal areas, even though the planet moves faster near the Sun and slower when farther away.

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Want to bring this experience into your classroom?

This activity is part of our live SpacewardBound sessions delivered directly in schools. We run it as a full interactive experience using our mobile planetarium and hands-on activities.

Used by schools across New Zealand

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