Tagged Questions
0
votes
0answers
34 views
Pursuit curves and arc length question
I am studying pursuit curves where a fast pirate ship which pursues a heavily
laden treasure ship which tracks along a straight line. The ratio of the speeds of the
ships is r > 1 (which is fixed) and ...
2
votes
1answer
75 views
Realizing polar function via Newtonian gravitation
Let $r=f(\theta)$ be a smooth, $2\pi$-periodic function, representing
a curve star-shaped with respect to the origin.
Maybe something like this:
...
8
votes
2answers
331 views
Fireworks under inverse-cube gravity
What is the path of a projectile under an inverse-cube gravity law?
Imagine that the law of gravity was changed overnight from
$F(r) = G m_1 m_2 / r^2$
to
$F(r) = G' m_1 m_2 / r^3$.
To be ...
