SPST 305 Orbital Mechanics
American Military University
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SPST 305 Orbital Mechanics Week 8 HomeWork Assignment - with Corrected Solutions
- Exam (elaborations) • 4 pages • 2023
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A blunted cone re-entry vehicle is returning to Earth with a re-entry flight path of 12 degrees 
and a velocity of 6.8 km/s. Use this information and data from Table 10-2 for Questions 1-4
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SPST 305 Orbital Mechanics Week 7 Homework Assignment 2023 - ALL ANSWERS ARE CORRECT
- Exam (elaborations) • 3 pages • 2023
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Answer these 8 questions based on the following information: A rocket is launched from 
Kwajalein Missile Range in the Marshall Islands (9.24 degrees N, 267.29 degrees E) that is 
delivering a microsatellite to a parking orbit with a right ascension of the ascending node of 
123 degrees at an inclination of 21.5 degrees. At the launch site, the current LST is 0200. 
1. What is the inclination auxiliary angle? 
a=i=21.5 ° 
2. What is the launch-direction auxiliary angle? 
sin γ= 
cosα 
cos LO ...
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SPST 305 Orbital Mechanics Week 4 Homework Assignment 2023 - ALL ANSWERS ARE CORRECT
- Exam (elaborations) • 5 pages • 2023
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A satellite is launched into a low-Earth (parking) orbit with an altitude of 222 km and need to 
be moved into a geosynchronous orbit with an altitude of 38,622 km. Based on this 
information, perform the following 12 calculations: 
222 km + 6378 km = 6600 km 
38622 km + 6378 km = 45000 km 
1. Determine the semimajor axis of the transfer orbit.
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SPST 305 Orbital Mechanics SPST 305 Orbital Mechanics 2023 - ALL ANASWERS ARE CORRECT
- Exam (elaborations) • 4 pages • 2023
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Magnitude of Vectors 
R=√(7626) 
2 
+(4972) 
2 
+(806) 
2=9139 km 
V=√(0.626) 
2 
+(−0.690) 
2 
+(−6.160) 
2=6.230 km/s 
1. Determine the size of the size (semimajor axis) of this orbit. 
ε= 
V 
2 
2 
− 
μ 
R 
ε= 
(6.230 km/s) 
2 
2 
− 
3.986 x105 
km3 
/s 
2 
9139 km 
ε=−24.208 km2 
/s 
2 
a= 
−μ 
2 ε 
a= 
−3.986 x 105 
km3 
/s 
2 
2(−24.208 km2 
/s 
2 
) 
a=8.232 x 103 
km=8 ,232 km 
2. Determine the shape (eccentricity) of this orbit. 
e´= 
1 
μ [( 
V 
2− 
μ 
R)...
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SPST 305 Orbital Mechanics - Week 6 Homework Assignment -ALL ANSWERS ARE CORRECT
- Exam (elaborations) • 5 pages • 2023
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Answer the questions below based on the following information about a reconnaissance 
satellite: The satellite has an apogee altitude of 6,822 km and a perigee altitude of 1,542 km. 
The inclination is at 42 degrees, the right ascension of the ascending node is 85 degrees, and 
the argument of perigee is 52 degrees. The current true anomaly is 196 degrees. Be sure to 
carry all radian figures out to 4 significant decimal places. 
Special Note: Ensure your calculator mode (degrees or radians) mat...
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