Inclination

Pronunciation: /ˌɪn kləˈneɪ ʃən/ ?

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Manipulative 1: Inclination respective to the x-axis. Click on the blue points and drag them to change the figure.

An inclination is the angle between a reference line or plane and another line or plane. In manipulative 1, the inclination of the line is respective to the x-axis. Note that the inclination is measured with an angle between 0° and 90° (0° < α ≤ 90°).

An incline is a surface that is sloped relative to the horizontal.

An inclined plane is a plane that is sloped relative to a reference plane. For astronomical objects, the reference plane contains the equator of the object about which another object orbits.

In manipulative 2, the blue ellipse represents a plane containing the equator of a star. The red ellipse represents a plane containing the orbit of a planet.

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Manipulative 2: Inclination respective to the equator of a star. Click on the blue point and drag it to change the inclination.

References

  1. inclination. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=inclination&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  2. incline. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=inclination&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  3. inclined plane. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=inclination&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
  4. Alessandra Celletti, Ettore Perozzi. Celestial Mechanics: The Waltz of the Planets, pg 9. Springer, January 24, 2007.
  5. Michael D. Griffin, James R. French. Space Vehicle Design, 2nd edition, pp 20-22. American Institute of Aeronautics & Ast, March 2004.

Printed Resources

Cite this article as:


Inclination. 2010-02-24. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/i/inclination.html.

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Revision History


2010-02-24: Initial version (McAdams, David.)

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