9711

Newton's Projectile

This Demonstration is an animated 3D model of a projectile fired from above the Earth's equator, based on Newton's laws of motion and gravitation. According to this theory, after launch, a projectile is subject only to the Earth's gravitational attraction.

SNAPSHOTS

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

DETAILS

The differential equations determining the projectile's motion are .
In this Demonstration, air resistance and the effect of the Earth's rotation are not taken into account. The Earth is assumed to be a perfect sphere with diameter set to 1 and all lengths are scaled accordingly. The projectile is fired from a point directly above the equator where the escape speed is . The circular equatorial orbit is calculated using Kepler's formula, .
Snapshot 1: projectile returns to Earth
Snapshot 2: circular equatorial orbit
Snapshot 3: fired at a speed above escape velocity
Inspired by Enrique Zeleny's Demonstration "Projectile Launched around the Earth".
Graphic of the earth taken fromEd Pegg Jr's Demonstration "Geosynchronous Orbit"
    • 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+