8. Centripetal Forces & Gravitation
Energy of Elliptical Orbits
9:48 minutes
Problem 13.70b
Textbook Question
Textbook QuestionLet’s look in more detail at how a satellite is moved from one circular orbit to another. FIGURE CP13.70 shows two circular orbits, of radii r₁ and r₂ , and an elliptical orbit that connects them. Points 1 and 2 are at the ends of the semimajor axis of the ellipse. (b) Consider a 1000 kg communications satellite that needs to be boosted from an orbit 300 km above the earth to a geosynchronous orbit 35,900 km above the earth. Find the velocity v'₁ on the inner circular orbit and the velocity v'₁ at the low point on the elliptical orbit that spans the two circular orbits.
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