Consider a satellite on a trajectory around Earth. The velocity of the satellite is 0.1 ê,+ 8.6 êg km/s over a range of time of interest. What is the magnitude of Coriolisacceleration in m/s? at an instant when the altitude is 700 km. Assume radius of Earthto be: 6378 km.

Write the given values with suitable variables. v=0.1er+8.6eθ km/s=0.1er+8.6eθ×103 m/sh=700…

Answered: Consider a satellite on a trajectory…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Consider a satellite on a trajectory around Earth. The velocity of the satellite is 0.1 ê,
+ 8.6 êg km/s over a range of time of interest. What is the magnitude of Coriolis
acceleration in m/s? at an instant when the altitude is 700 km. Assume radius of Earth
to be: 6378 km.

Expert Solution

Step 1

Write the given values with suitable variables.

$\begin{array}{rcl} v & = & (0.1 e_{r} + 8.6 e_{θ}) km / s \\ = & (0.1 e_{r} + 8.6 e_{θ}) \times 10^{3} m / s \\ h & = & 700 km \\ = & 700 \times 10^{3} m / s \\ R & = & 6378 km \\ = & 6378 \times 10^{3} m \end{array}$

Here, v denotes the velocity, h denotes the altitude, and R denotes the Earth's radius.

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