About: Spherical coordinate system   Sponge Permalink

An Entity of Type : owl:Thing, within Data Space : 134.155.108.49:8890 associated with source dataset(s)

The three coordinates (ρ, φ, θ) are defined as: * 0 ≤ ρ is the distance from the origin to a given point P. * 0 ≤ φ ≤ 180° is the angle between the positive z-axis and the line formed between the origin and P. * 0 ≤ θ ≤ 360° is the angle between the positive x-axis and the line from the origin to the P projected onto the xy-plane. φ is referred to as the zenith or colatitude, while θ is referred to as the azimuth. According to this system, φ and θ lose significance when ρ = 0 and θ loses significance if sin(φ) = 0 (at φ = 0 and φ = 180°.

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  • Spherical coordinate system
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  • The three coordinates (ρ, φ, θ) are defined as: * 0 ≤ ρ is the distance from the origin to a given point P. * 0 ≤ φ ≤ 180° is the angle between the positive z-axis and the line formed between the origin and P. * 0 ≤ θ ≤ 360° is the angle between the positive x-axis and the line from the origin to the P projected onto the xy-plane. φ is referred to as the zenith or colatitude, while θ is referred to as the azimuth. According to this system, φ and θ lose significance when ρ = 0 and θ loses significance if sin(φ) = 0 (at φ = 0 and φ = 180°.
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abstract
  • The three coordinates (ρ, φ, θ) are defined as: * 0 ≤ ρ is the distance from the origin to a given point P. * 0 ≤ φ ≤ 180° is the angle between the positive z-axis and the line formed between the origin and P. * 0 ≤ θ ≤ 360° is the angle between the positive x-axis and the line from the origin to the P projected onto the xy-plane. φ is referred to as the zenith or colatitude, while θ is referred to as the azimuth. According to this system, φ and θ lose significance when ρ = 0 and θ loses significance if sin(φ) = 0 (at φ = 0 and φ = 180°. To plot a point from its spherical coordinates, go ρ units from the origin along the positive z-axis, rotate φ about the y-axis in the direction of the positive x-axis and rotate θ about the z-axis in the direction of the positive y-axis.
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