Spacecraft collision - angular momemtum

In summary, two identical spacecrafts A and B, each with a mass of m, are orbiting Earth in different orbits with the same perigee. At t=0, spacecraft A collides with spacecraft B from behind at a distance of R from the center of the Earth. Before the impact, spacecraft A has a speed of V[a] and spacecraft B has a speed of V[b]. After the collision, the two spacecraft stick together as a single lump of wreckage. The question is to find an expression for the angular momentum of the wreckage in terms of m, R, V[a], and V[b]. To solve this, we need to know the linear and angular momentum of each spacecraft before the collision, as well as what
  • #1
dopey9
32
0
Identical spacecraft s A and B each of mass m are orbiting the Earth in different orbits...they both have the same perigee and at t=0 spacecraft A hits spacecraft B from behind

before impact speed of A was V[a]
and B was V and both a distance R from the centre of the earth

After the collision the two spacecraft stick together as a single lump of wreckage

im trying to find an expression for the angular momentum of the wreckage in terms of m, R, V[a], V...i was wondering if anyone knows what formulas i require to work out the expression...if anyone could please possibly show me how to solve this becuase I am finding it mind boggling thankz
 
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  • #2
Are we to assume that the collision takes place when both are at their perigee and thus are moving perpendicular to their position vectors (measured from the center of the earth)? Assuming that, answer these questions:
(1) What's the linear momentum of each spacecraft before the collision?
(2) What's the angular momentum of each spacecraft before the collision?
(3) What's conserved during the collision?
 

FAQ: Spacecraft collision - angular momemtum

What is angular momentum in relation to spacecraft collisions?

Angular momentum is a measure of an object's rotational motion, which is conserved in a closed system. In the context of spacecraft collisions, it refers to the amount of rotational force and inertia that an object possesses.

How does angular momentum affect spacecraft collisions?

Angular momentum plays a crucial role in determining the outcome of spacecraft collisions. If the total angular momentum of the system is conserved, the objects involved will continue to rotate in the same direction and at the same speed after the collision. However, if external forces are applied, the angular momentum may change and result in different outcomes.

Can angular momentum be manipulated in spacecraft collisions?

Yes, angular momentum can be manipulated in spacecraft collisions by applying external forces such as thrusters or using reaction wheels. These forces can change the direction and speed of rotation, which can impact the outcome of the collision.

How can angular momentum be calculated in spacecraft collisions?

Angular momentum is calculated by multiplying the moment of inertia (a measure of an object's resistance to rotation) by the angular velocity (the rate of change of angular displacement).

What are the potential consequences of a spacecraft collision involving angular momentum?

The consequences of a spacecraft collision involving angular momentum can vary depending on the magnitude and direction of the forces involved. In some cases, it can cause damage to the objects involved or alter their trajectories. In extreme cases, it can result in the destruction of the spacecraft or even create debris that can pose a threat to other objects in space.

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