All Questions
Tagged with algorithms newtonian-mechanics
6
questions
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443
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How to calculate acceleration due to gravity in a 3D $N$-Body system?
How do you calculate acceleration due to gravity for objects in 3D space?
My current understanding for the force due to gravity on object $i$ from object $j$ is
$$\mathbf{F}_g=(\mathbf{r}_j-\mathbf{r}...
- 157
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2
answers
99
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Equations of motion: Calculate location of point [closed]
The scenario is that a user is dragging an object on a touchscreen. I want to calculate the position of the object as the finger drags it across the screen. I also want to account for any acceleration ...
- 111
4
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Method to build a polyhedral die with given probabilities [closed]
Let's define a die as a polyhedron that, if rolled over a perfect horizontal plane, ends up being in a physically stable unambiguous state labelled $n$. The die has $N$ states. Each state $n$ has a ...
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1
vote
1
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MEMS gyro measured angular velocity vector
Notations I use:
Consider a world frame $\{O_0, \vec{i}_0, \vec{j}_0, \vec{k}_0\}$ coordinate system and a rigid body $B$ with a coordinate system $\{O_1, \vec{i}_1, \vec{j}_1, \vec{k}_1\}$ attached ...
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How to simulate gravitational interaction of bodies in space?
I want to try simulating some bodies in space using the basic formulas I learned in my college mechanics class.
So I know Newton's Law and some basic mechanics equations:
$\vec{F} = G\frac{m_1m_2}{r^...
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2
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1
answer
2k
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Applying velocity Verlet algorithm
I want to implement a simple particules system using the velocity form of the Verlet algorithm as integrator.
Initial conditions at $t=0$ for a given particule $p$:
mass: $ m $
position: $\...
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