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Intersecting crafts at significant % of light speed

  1. Jan 24, 2015 #1
    Hi,

    I am currently plotting a piece of writing and wonder if anyone could give me some feedback on the following: -

    plan_zpsc323cbd0.png

    Space craft 1 is a beam/ sail craft with constant acceleration of 1 G to a speed of 0.2c. It travels along a straight line between Tau Ceti and Sol (circa 12 ly). Ship time for the journey is circa 60 years and observed time circa 61.5 years.

    Space craft 2 is a Gravitational craft on an intercept course with space craft 1. It has gravitational shielding and as such is able to accelerate and manoeuvre at high speed without liquefying the occupants. It travels at 0.8 c. For the sake of argument the course it takes is an altitude of a (more or less) isosceles triangle between the three stars. This is a distance of circa 10 ly. Ship time for the journey is circa 12.5 years and observed time circa 21 years.

    My back-of-a-fag-packet working is that it would take space craft 1 circa 30 years observed time to reach the mid-point of its journey. Therefore space craft 2 would need to leave circa 10 years after the departure of space craft 1 to intersect it.

    Is this all accurate or am I missing a trick somewhere?

    Thanks in advance.

    Chinspinner

    Edited to add: also, can anyone point me in the direction of some decent literature on gravitational shielding?
     
    Last edited: Jan 24, 2015
  2. jcsd
  3. Jan 24, 2015 #2

    PeterDonis

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    Staff: Mentor

    This looks about right, yes: about 30 years observed time for #1 to reach the rendezvous, minus about 20 years observed time for #2 to reach the rendezvous, gives about 10 years.
     
  4. Jan 24, 2015 #3
    Thanks very much.
     
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