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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643

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BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

The planet Mercury travels in an elliptical orbit with eccentricity 0.206. Its minimum distance from the sun is 4.6 × 107 km. Find its maximum distance from the sun.

To determine

To find: The maximum distance from the sun.

Explanation

Given:

  • Eccentricity of the ellipse is 0.206
  • Minimum distance from the sun is 4.6×107km

Calculation:

Calculate minimum distance at perihelion.

r=α(1e) (1)

Substitute 4.6×107km for r and 0.206 for e in the equation (1).

4.6×107=α(10.206)α=4.6×10710.206=4.6×1070.794

Calculate the maximum distance from the sun

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Chapter 10 Solutions

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