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Our Place in the Universe

Radar measurement of distance and velocity

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on timing an echo and why the time is halved, distances to the Moon and planets, relative velocity from successive pulses, pulse length and timing uncertainty, and the method's limits.

What you need to know

Answer each one before you reveal it.

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Key term

Radar ranges an asteroid at 6.000×10⁹ m then 5.999×10⁹ m, 100 s later. Find its velocity, justify assuming constant c, and explain echo uncertainty.

Key term

Describe how a radar pulse measures the distance to a planet, and state and justify the equation used.

Key term

How is a radar pulse used to measure the distance to a planet?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How is a radar pulse used to measure the distance to a planet?

    Model answer

    A short pulse is transmitted, the time until its echo returns is measured, and the distance is half that time multiplied by the speed of light.

  2. 2

    What equation gives distance from a radar echo time?

    Model answer

    The distance is d = ct/2, where t is the round-trip time of the pulse.

  3. 3

    Why is the echo time halved in a radar distance calculation?

    Model answer

    The pulse travels to the object and back again, so it covers twice the distance being measured.

  4. 4

    A radar echo from Venus returns after 300 s. How far away is Venus?

    Model answer

    d = ct/2 = 3.00 × 10⁸ × 150 = 4.5 × 10¹⁰ m.

  5. 5

    A radar echo from the Moon returns after 2.56 s. What is the Earth–Moon distance?

    Model answer

    d = ct/2 = 3.00 × 10⁸ × 1.28 = 3.84 × 10⁸ m.

  6. 6

    Why is radar unsuitable for measuring distances to other stars?

    Model answer

    The reflected pulse would be far too weak to detect after spreading over such distances, and the round trip would take years.

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