Answered: A satellite orbits the Earth in an…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A satellite orbits the Earth in an elliptic orbit with eccentricity 0,3. Its
pericentric height is 150 km. What is its velocity at a height of 300 km?
If its speed at perigee is decreased by 10%, still perpendicular to the
radius, determine if if it will stay in an orbit or hit the Earth.

Expert Solution

Step 1

It is given that:

The eccentricity is, (e)=0.4
The pericentric height, (h)=150 km.

It is known that, the radius of the earth (R)=6400 km
$perigee radius (r) = 6400 + 150 = 6550 km$

It is required to find the velocity at the height of 300 km.

Therefore, the height becomes, $r_{p} = (6550 + 300) k m = 6950 k m$

$gravitatinal parameter μ = 398600 km / s^{2}$

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