Two geocentric elliptical orbits have common apse lines and their perigees are on the same side of the earth. The first orbit has a perigee radius of r, second orbit r,= 32, 000 km and e = 0.5. (a) Find the minimum total delta-v and the time of flight for a transfer from the perigee of the inner orbit to the apogee of the outer orbit. (b) Do part (a) for a transfer from the apogee of the inner orbit to the perigee of the outer orbit. {Ans.: (a) Avtotal 4.66 h} 7000 km and e 0.3, whereas for the 2.388 km/s, time of flight (TOF) = 16.2 h; (b) Aviotal = 3.611 km/s, TOF = %3D e = 0.5 Earth e = 0.3 A D 7000 km 32,000 km
Two geocentric elliptical orbits have common apse lines and their perigees are on the same side of the earth. The first orbit has a perigee radius of r, second orbit r,= 32, 000 km and e = 0.5. (a) Find the minimum total delta-v and the time of flight for a transfer from the perigee of the inner orbit to the apogee of the outer orbit. (b) Do part (a) for a transfer from the apogee of the inner orbit to the perigee of the outer orbit. {Ans.: (a) Avtotal 4.66 h} 7000 km and e 0.3, whereas for the 2.388 km/s, time of flight (TOF) = 16.2 h; (b) Aviotal = 3.611 km/s, TOF = %3D e = 0.5 Earth e = 0.3 A D 7000 km 32,000 km
Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Transcribed Image Text:6.13 Two geocentric elliptical orbits have common apse lines and their perigees are on the same side
of the earth. The first orbit has a perigee radius of r,
second orbit r, 32, 000 km and e = 0.5.
(a) Find the minimum total delta-v and the time of flight for a transfer from the perigee of the
inner orbit to the apogee of the outer orbit.
= 7000 km and e = 0.3, whereas for the
(b) Do part (a) for a transfer from the apogee of the inner orbit to the perigee of the outer orbit.
{Ans.: (a) Avtotal
4.66 h}
2.388 km/s, time of flight (TOF) = 16.2 h; (b) Aviotal = 3.611 km/s, TOF =
%3D
e = 0.5
Earth
e = 0.3
1)
A
B
7000 km
32,000 km
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