Part A: What is the period of the spacecraft's orbit?     T=___s Part B: Using conservation of angular momentum, find the ratio of the spacecraft's speed at perigee to its speed at apogee.       (Vperigee)/(Vapogee)=___ Part C: Using conservation of energy, find the speed at perigee and the speed at apogee.       Vperigee,Vapogee=___m/s

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Part A: What is the period of the spacecraft's orbit?

    T=___s

Part B: Using conservation of angular momentum, find the ratio of the spacecraft's speed at perigee to its speed at apogee.

      (Vperigee)/(Vapogee)=___

Part C: Using conservation of energy, find the speed at perigee and the speed at apogee.

      Vperigee,Vapogee=___m/s

Part D: It is necessary to have the spacecraft escape from the earth completely. If the spacecraft's rockets are fired at perigee, by how much would the speed have to be increased to achieve this?

     delta(perigee)=___m/s

Part E: What if the rockets were fired at apogee? 

     delta(apogee)=___m/s

Part F: Which point in the orbit is more efficient to use and why?

 

Consider a spacecraft in an elliptical orbit around
the earth. At the low point, or perigee, of its orbit, it
is 500 km above the earth's surface; at the high
point, or apogee, it is 5000 km above the earth's
surface.
Transcribed Image Text:Consider a spacecraft in an elliptical orbit around the earth. At the low point, or perigee, of its orbit, it is 500 km above the earth's surface; at the high point, or apogee, it is 5000 km above the earth's surface.
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