Topic Overview

What students will cover

This topic develops gravitational field models from definitions through orbital applications. Keep the build-up from field strength to potentials and orbits clear as you work through the topic.

You begin by defining gravitational field strength and representing fields with field lines. The next lessons use Newton’s law of gravitation to model forces and field strength around point masses, then develop gravitational potential and potential energy. The topic closes by applying the same ideas to circular and geostationary orbits before you consolidate the topic through revision and review.

Revision

Topic revision route

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Recall vocabulary

  • Gravitational field

    a region where a mass experiences a force; gravitational field strength is force per unit mass.

  • field strength

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  • field lines

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  • point mass

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  • inverse square law

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  • centripetal acceleration

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  • geostationary orbit

    A definition has not been added for this term yet. Use the lesson sequence below to review where it appears.

  • Gravitational potential

    the work done per unit mass in bringing a small test mass from infinity to the point.

  • gravitational potential energy

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  • force per unit mass

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  • Newton's law of gravitation

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  • gravitational constant

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  • potential energy

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  • work done

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  • infinity

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  • circular orbit

    A definition has not been added for this term yet. Use the lesson sequence below to review where it appears.

  • orbital period

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  • satellite

    A definition has not been added for this term yet. Use the lesson sequence below to review where it appears.

Resource bank

Lesson resources
5
Topic resources
0

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Syllabus

CIE 9702 coverage in this topic

12 points across 7 lessons

Show details
13.1.1

understand that a gravitational field is an example of a field of force and define gravitational field as force per unit mass

13.1.2

represent a gravitational field by means of field lines

13.2.1

understand that, for a point outside a uniform sphere, the mass of the sphere may be considered to be a point mass at its centre

13.2.2

recall and use Newton’s law of gravitation F = Gm1m2 / r2 for the force between two point masses

13.2.3

analyse circular orbits in gravitational fields by relating the gravitational force to the centripetal acceleration it causes

13.2.4

understand that a satellite in a geostationary orbit remains at the same point above the Earth’s surface, with an orbital period of 24 hours, orbiting from west to east, directly above the Equator

13.3.1

derive, from Newton’s law of gravitation and the definition of gravitational field, the equation g = GM / r 2 for the gravitational field strength due to a point mass

13.3.3

understand why g is approximately constant for small changes in height near the Earth’s surface

13.4.1

define gravitational potential at a point as the work done per unit mass in bringing a small test mass from infinity to the point

13.4.2

use ϕ = –GM / r for the gravitational potential in the field due to a point mass

13.4.3

understand how the concept of gravitational potential leads to the gravitational potential energy of two point masses and use EP = –GMm / r

Lessons

Lesson sequence

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