tlb wrote:No, the SAR shuttle was moving slowly compared to the debris in its locality. The only way it could be at rest to the debris field "as a whole" would require it to be at the location where the ships would currently have been based on their last velocity (at that point all the debris is moving away).
Completely agreed. Once destroyed, the ships stopped accelerating and therefore the debris was inertial.
The velocity of the ships is why it is described as hemispherical, because that base velocity is greater than any velocity imparted by the explosion; so for an observer at the point of the explosion, all the pieces are moving away with a forward component (none with backward motion). Is is only from the moving point discussed about that it appears spherical. From that point all the debris is moving radially outward, not in random directions; except for those pieces that have collided with space junk. The collisions between pieces of debris can be ignored, because momentum is still conserved, so they are still headed outward.
That I don't agree with. I mean, your explanation that from the point of view of someone who is at rest relative to the primary at the point where the ships exploded, the debris field is moving away at the speed it had when it exploded. But that does not translate that the shape of the expansion is hemispherical, exactly because the velocities imparted by the explosions are so much smaller than the base velocity of thousands of km/s.
That is to say, while there is no piece of debris that has a velocity vector (relative to the primary or orbital velocities) pointing backwards, the
shape of the blob remains spherical. The shape isn't determined by the base velocity[*], but instead by the relative velocities between components. The shape is the same for everyone, regardless of their frame of reference.
[*] Except, of course, if relativistic effects are relevant. If the relative base velocity is great enough that space contraction becomes pronounced, the shape won't be a rough spherical blob, but instead a rough ellipsoidal blob (not an ellipsoid of revolution; I don't know if this 3D geometric shape has a name).
If the debris front is a million kilometers across now, then the explosions of the five ships can be treated as a point source to a high degree of accuracy (since they were within a few hundred kilometers of each other).
That's almost touching wedges. The separation between ships in a formation was never explicitly mentioned, was it?
If the wedge is down, then the shuttle can only maneuver by reaction thrusters and would not be able to search more than its immediate area.
Aye. No one said SAR was easy. It's a long process. But if Honor can accelerate at 50 G in reaction thrusters, an SAR bird can pull one or two. Working outside in, the SAR birds can clear the periphery first, which would allow later birds to use their wedges until further in, before powering down.