9814

Modeling Asteroid Trajectories in 3D

This Demonstration simulates the effect of gravitational acceleration on a moving body. Build your own asteroid with realistic mass, radius, and high-resolution texture mapping. You can vary the the mass, position, velocity, and time in the orbit of the asteroid, or switch between any of the planets in our solar system. The size of the asteroid is relative to each planet's mass, so if it is too hard to see, increase its size.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

In this Demonstration, I used the second derivative to simulate the acceleration due to gravity, with a When event that specifically eliminates a singularity error.
The Demonstration uses texture maps, either from the Mathematica Texture examples or texture maps from [1]. For spherical planets I had to apply the texture directly to SphericalPlot3D; I turned nonspherical objects into a spherical plot. I took the example data of the captured asteroid Phobos and mapped the object after interpolating enough data points.
Reference
[1] J. Hastings-Trew. "JHT's Planetary Pixel Emporium." (2006) planetpixelemporium.com/planets.html.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+