3 ms·
Ask HN: Swimming in space with quasi-rigid bodies
There is an mind blowing paper written in 2003 which explains how a quasi-rigid body can move on a curved manifold by undergoing changes in its shape.
http://groups.csail.mit.edu/mac/users/wisdom/swimming.pdf
There is a good discussion here:
https://physics.stackexchange.com/questions/886/swimming-in-spacetime-apparent-conserved-quantity-violation
My question: Is it possible to design a quasi-rigid body that could be used to escape Earth surface?
Many thanks!
Citation:
"For a quasi-rigid body to swim on a curved manifold, it must undergo changes in its shape. For such a change to result in a net rotation or translation of the body on the manifold, the shape changes must go through a nontrivial cycle of deformation.
A simple quasi-rigid body that satisfies these requirements is a body consisting of one mass point with mass m0 connected to two other mass points, each with mass m1, by geodesic struts of given length separated by a given angle. The body can be deformed by changing the length of the struts or the angle between them;
...
If the axis of the body is oriented radially away from the central mass, then the symmetry of the Schwarzschild geometry and the threefold symmetry of the swimmer guarantee that
any translation due to cyclic deformation will occur only in the radial direction. The problem is, then, to compute the radial component of the deformation field strength.
...
The curvature of spacetime is very slight,
so the ability to swim in spacetime is unlikely
to lead to new propulsion devices. For a
meter-sized object performing meter-sized
deformations at the surface of the Earth, the
displacement is of order 10⁻23 meters."