La Luna: estudio de una esfera


What do you need?


  1. Paper and pen.
  2. You must know about:




If you can not see the applications of this page, you can download Java at: http://www.houspain.com/gttp/salsaj


Problem

The Moon has an almost spherical form



Observes the previous application. Calculate the following:

a) Which are the coordinates of the points A and B? How much distance are they?

b) Calculates:

-- The area of the spindle understood between the meridians that pass for the points A and B.
-- The volume of the spherical wedge understood between the meridians that pass for the points A and B.

c) Calculates:

-- The area of the cap that proves to take the parallel one that passes for A and B.
-- The volume of the spherical segment that is formed to the cut a plane that passes for the parallel one of the points A and B, with the sphere.

How can it be solved?

What do we know previously?

Moon's radius: R = 1737km.
Once we have selected the time zones and paralells we know the number of degrees the figures take.
Moreover, by observing the Moon's figure we know the both latitude y longitude of A and B spots.

What are we asked?

Calculate:

  1. - Area of a spheric time zone, volume of the spherical cuneiform, area of the spherical and volume of an spherical segment
  2. - Distance between A and B.



 
moon_sphere.txt · Last modified: 24/04/2017 13:01 (external edit)
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