The recent success of the DART mission, which involved altering the orbit of an asteroid by smashing a spacecraft into it, takes us one step closer to achieving some form of planetary defence. Let's assume our spacecraft (mass ms) is moving with a velocity vo and that the asteroid (mass ma) is moving with a velocity v₁. Suppose the radius of the asteroid's orbit is 'r' and that we want to change it by a factor of 'k'. What is the velocity of the spacecraft after the collision? (Assume that the collision between the

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The recent success of the DART mission, which involved altering the orbit
of an asteroid by smashing a spacecraft into it, takes us one step closer to
achieving some form of planetary defence. Let's assume our spacecraft
(mass ms) is moving with a velocity v, and that the asteroid (mass ma) is
moving with a velocity v₁. Suppose the radius of the asteroid's orbit is 'r'
and that we want to change it by a factor of 'k'. What is the velocity of the
spacecraft after the collision? (Assume that the collision between the
spacecraft and the asteroid is elastic)
A
Vo +ma*(V₁- V(V²₁+ 2GM/Kr - 2GM/R))/ms
Transcribed Image Text:The recent success of the DART mission, which involved altering the orbit of an asteroid by smashing a spacecraft into it, takes us one step closer to achieving some form of planetary defence. Let's assume our spacecraft (mass ms) is moving with a velocity v, and that the asteroid (mass ma) is moving with a velocity v₁. Suppose the radius of the asteroid's orbit is 'r' and that we want to change it by a factor of 'k'. What is the velocity of the spacecraft after the collision? (Assume that the collision between the spacecraft and the asteroid is elastic) A Vo +ma*(V₁- V(V²₁+ 2GM/Kr - 2GM/R))/ms
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