9867

Tidal Forces

This Demonstration shows tidal forces due to the Moon and the Sun, separately or in combination. It also shows the influence of the tidal forces at distances between the Earth and Moon and the Earth and Sun.

SNAPSHOTS

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

DETAILS

Suppose that the Moon orbits the Earth above the equator with the Earth's axial tilt taken as 0°. We take into account the eccentricities of the Earth's orbit around the Sun and the Moon's orbit around the Earth. This Demonstration shows tidal forces with respect to the relative position of the Moon, the Earth, and the Sun; you can vary the position of the Moon.
The views in 2D graphics are from the Earth's North or South Poles. The black dashed arrow shows the direction to the Moon. The green dashed arrow (along the positive axis) shows the direction to the Sun.
Tidal forces are given as differences between gravitational forces at a particular point on the surface of the Earth or inside the Earth compared to the gravitational force at the center of the Earth. Tidal forces are expressed as forces per unit mass, which has the dimensions of acceleration.
For more information about the calculation of tidal forces, taking into account the eccentricity of the orbits of the Earth and Moon, see [1].
Reference
[1] T. Franc, "Tides in the Earth–Moon System," in Week of Doctoral Students 2012—Proceedings of Contributed Papers: Part III—Physics (WDS12), Prague (J. Safrankova & J. Pavlu, eds.), Prague: MatfyzPress Publishing House, 2012 pp. 98–104. www.mff.cuni.cz/veda/konference/wds/proc/pdf12/WDS12_318_f12 _Franc.pdf.
    • 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+