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21 votes
0 answers
416 views

Can a 4D spacecraft, with just a single rigid thruster, achieve any rotational velocity?

(Copied from MSE. Offering four bounties over time, I got no response, other than twenty-nine upvotes.) It seems preposterous at first glance. I just want to be sure. Even in 3D the behaviour of ...
mr_e_man's user avatar
  • 281
4 votes
0 answers
116 views

Dynamics of pairwise distances in the $n$-body problem

Disclaimer: I have asked this question on Physics SE a week ago, but got no answers. I know that some MO users are interested in the $n$-body problem, so I decided to cross post here as well. ...
Mehmet Ozan Kabak's user avatar
3 votes
0 answers
2k views

Bessel functions in wave propagation and scattering

Is there a way to scale $J_n(\cdot)$ (Bessel of first kind) and $H_n(\cdot)$ (Bessel of third kind or Hankel)? I am having computer problems with higher orders (higher values of n) and small arguments....
Chad's user avatar
  • 41
1 vote
0 answers
108 views

Stability of rigid bodies spinning around $z$-axis under gravity

Consider the problem of a rigid body rotating in 3D space under gravity with one point fixed. I am particularly curious about the equilibrium state where the body is spinning at a constant angular ...
Zhang Yuhan's user avatar
1 vote
0 answers
77 views

What exactly are the benefits of keeping a Hamiltonian system of equations Hamiltonian during solving or transformation?

When faced with a system of differential equations that happens to be Hamiltonian in form, or a perturbation of a Hamiltonian system, we often see in classical work a clear attempt to pursue solutions ...
user135626's user avatar