OCR A-Level Physics A H556
Practical Skills in the Written Papers
The Practical Endorsement
Physical Quantities and Units
Making Measurements and Analysing Data
Nature of Quantities
Motion
Forces in Action
Work, Energy and Power
Materials
Newton’s Laws of Motion and Momentum
Charge and Current
Energy, Power and Resistance
Electrical Circuits
Waves
Quantum Physics
Thermal Physics
Oscillations
Gravitational Fields
Astrophysics and Cosmology
Capacitors
Electric Fields
Electromagnetism
Nuclear and Particle Physics
Gravitational Fields
Orbital period and geostationary orbits
- 3 things to know
- Papers 1, 2 and 3
Overview
Recall questions on T² ∝ r³, and on the conditions for and uses of a geostationary orbit.
What you need to know
Answer each one before you reveal it.
After substituting v = 2πr/T into v² = GM/r, what final rearrangement gives the orbital period equation?
What substitution for orbital speed v is made when deriving the relationship between T and r?
Questions from this subtopic
Each one with the model answer underneath.
- 1
Write the equation relating orbital period T to orbital radius r for a body orbiting a central mass M.
Model answer
T² = (4π²/GM)r³
- 2
What substitution for orbital speed v is made when deriving the relationship between T and r?
Model answer
Substitute v = 2πr/T into the equation.
- 3
After substituting v = 2πr/T into v² = GM/r, what final rearrangement gives the orbital period equation?
Model answer
Rearrange to obtain T² = (4π²/GM)r³.
- 4
Does Kepler's third law relationship T² ∝ r³ apply only to planets orbiting the Sun?
Model answer
No, it applies to any system of orbiting bodies, where M is the mass of the central body being orbited.
- 5
Define a geostationary orbit.
Model answer
An orbit in which a satellite remains above the same point on the Earth's surface at all times.
- 6
What orbital period must a geostationary satellite have?
Model answer
One day (about 24 hours), equal to Earth's rotational period.
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