Answer four questions of aerospace physics

Question

Kamal · Accepted Answer

1.a.	We know that minimum delta-v
M = mass of sun
G = Gravitational constant
r1 = radius of earth
r2 = radius of heliopause
Therefore, minimum delta-v
b.	To escape from sun’s influence the delta v is
M = mass of sun
G = Gravitational constant
r1 = radius of earth
r2 = radius of Oort cloud
Therefore, delta-v
c.	AIM 10-6 g needed.
2. a.	We know that,
Where  is the angular frequency of the colony to remain in the Lagrange point of earth- moon.
G = Gravitational constant
M = Sum of masses of earth and moon.
We know that the mass of the earth is 5.972*1024 kg and the mass of the moon is 7.348*1022 kg. 
R = average distance between earth and moon = 384400 km.
Therefore,
Let ω2 be the angular velocity around the colony’s own axis to simulate the gravity equivalent to earth’s gravity at outer wall.
Where r = radius of the colony = 20/2 km = 10 km.
Therefore, the angular velocity around its long axis will be 0.0313 rad/sec.
b.	Tangential velocity at outer wall is,
c. a.	Simulate gravitational force against the inner floor is,  
d.	I as an inhabitant would see the ball fall from my hand and sticks to the ground i.e. the surface of the cylinder.
e.	A stationary external observer will see the ball to go along tangentially to the surface of the cylindrical colony.
3. a.	Let ω2 be the angular velocity around the colony’s own axis to simulate the gravity equivalent to earth’s gravity at outer wall.
b.	Tangential velocity at outer wall is,
c.	Comparing the results of question no.

Answer four questions of aerospace physics

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