How Many Points Can Be Observed Simultaneously on a Sphere?

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  • #1
Loren Booda
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What is the greatest number of points on a spherical planet so that no two might
be observed at a time from an external point?
 
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  • #2
If you can look at the sphere from infinity, then it's 1.
 
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FAQ: How Many Points Can Be Observed Simultaneously on a Sphere?

What is the purpose of sighting points on a sphere?

The purpose of sighting points on a sphere is to accurately measure and locate points on the surface of a sphere. This is important for various applications such as navigation, cartography, and astronomy.

How do you determine the coordinates of a point on a sphere?

To determine the coordinates of a point on a sphere, you can use the latitude and longitude system. Latitude measures the distance north or south of the equator, while longitude measures the distance east or west of the prime meridian. Together, these two coordinates can pinpoint a specific location on a sphere.

Can you use a flat map to accurately represent points on a sphere?

No, a flat map cannot accurately represent points on a sphere. This is because a sphere is a 3-dimensional object while a flat map is 2-dimensional. As a result, there will always be some distortion or error when representing points on a sphere on a flat map.

How do you account for the curvature of the Earth when sighting points on a sphere?

When sighting points on a sphere, it is important to use a map or projection that takes into account the curvature of the Earth. This can be achieved through various map projections, such as the Mercator or Robinson projection, which attempt to represent the 3-dimensional Earth on a 2-dimensional surface.

Are there any other methods for determining points on a sphere besides latitude and longitude?

Yes, there are other methods for determining points on a sphere, such as using spherical coordinates or the Great Circle Distance formula. Spherical coordinates use a radius, polar angle, and azimuth angle to locate points on a sphere, while the Great Circle Distance formula calculates the shortest distance between two points on a sphere.

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