Spherical Geometry: Astronomy Books for Study

In summary, spherical geometry is a branch of mathematics that deals with the properties of objects on a spherical surface, such as the Earth. It is used in astronomy to model the positions and movements of celestial objects and has various applications, such as calculating distances and angles, determining positions and motions, and creating star charts. However, it has limitations and may not fully account for the effects of gravity. Recommended books for studying spherical geometry in astronomy include "Spherical Astronomy" by Robin M. Green, "Celestial Mechanics: The Waltz of the Planets" by Alessandra Celletti and Ettore Perozzi, and "Geometry of the Universe: An Introduction to Cosmic Topology" by Michael P. Hitchman.
  • #1
Sobi
19
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I am studying spherical astronomy can some suggest good books on spherical geometry.
 
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  • #2
the first ten pages of Groups abd Geometries, by Nikulin and Shafarevich has a nice intro to spherical geometry.
 

FAQ: Spherical Geometry: Astronomy Books for Study

What is spherical geometry?

Spherical geometry is a branch of mathematics that deals with the properties of objects on a spherical surface, such as the Earth. It is based on the concept that the shortest distance between two points on a sphere is along a great circle, which is a circle with the same center as the sphere.

How is spherical geometry used in astronomy?

Spherical geometry is used in astronomy to model the positions and movements of celestial objects, such as planets, stars, and galaxies. It helps us understand the shape of the universe and predict the paths of these objects in space.

What are some common applications of spherical geometry in astronomy?

Some common applications of spherical geometry in astronomy include calculating astronomical distances and angles, determining the positions and motions of celestial objects, and creating accurate star charts and maps of the night sky.

Are there any limitations to using spherical geometry in astronomy?

While spherical geometry is a useful tool in understanding the universe, it does have some limitations. It assumes that the universe is a perfect sphere, which may not be the case. It also does not account for the effects of gravity, which can significantly alter the paths of celestial objects.

What are some recommended books for studying spherical geometry in astronomy?

Some popular books for studying spherical geometry in astronomy include "Spherical Astronomy" by Robin M. Green, "Celestial Mechanics: The Waltz of the Planets" by Alessandra Celletti and Ettore Perozzi, and "Geometry of the Universe: An Introduction to Cosmic Topology" by Michael P. Hitchman.

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