Coordinate systems - Revision history

Lof: /* hemisphere */

2024-06-03T12:35:09Z

hemisphere

← Older revision		Revision as of 12:35, 3 June 2024
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	* Hemisphere is +1 for a point in the forward hemisphere.		* Hemisphere is +1 for a point in the forward hemisphere.
	* Hemisphere is 0 for a point in the RV-plane (F=0).		* Hemisphere is 0 for a point in the HV-plane (F=0).
	* Hemisphere is -1 for a point in the backward hemisphere.		* Hemisphere is -1 for a point in the backward hemisphere.

Lof: /* Double Polar coordinates */

2024-06-03T12:34:26Z

Double Polar coordinates

← Older revision		Revision as of 12:34, 3 June 2024
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	[[file:Double_Polar.png\|double polar coordinates]]		[[file:Double_Polar.png\|double polar coordinates]]
	~~[[file:Two_intersecting_rings.png\|two intersecting rings]]~~

	*~~Left~~ pictures: Azimuth and elevation determine two perpendicular circles.		*pictures: Azimuth and elevation determine two perpendicular circles.
	*Right pictures: The stars mark the intersections of the circles. When the circles touch (only one intersection) the target lies in the HV-plane.
	===azimuth===		===azimuth===
	* Azimuth is the angle with the FV-plane.		* Azimuth is the angle with the FV-plane.
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	===hemisphere===		===hemisphere===
			[[file:Two_intersecting_rings.png\|two intersecting rings]]
			*Pictures: The stars mark the intersections of the circles. When the circles touch (only one intersection) the target lies in the HV-plane.

	* Hemisphere is +1 for a point in the forward hemisphere.		* Hemisphere is +1 for a point in the forward hemisphere.
	* Hemisphere is 0 for a point in the RV-plane (F=0).		* Hemisphere is 0 for a point in the RV-plane (F=0).

Lof: /* Double Polar coordinates */

2024-06-03T12:29:20Z

Double Polar coordinates

← Older revision		Revision as of 12:29, 3 June 2024
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	[[file:Two_intersecting_rings.png\|two intersecting rings]]		[[file:Two_intersecting_rings.png\|two intersecting rings]]

	~~Picture~~: Azimuth and elevation determine two perpendicular circles		*Left pictures: Azimuth and elevation determine two perpendicular circles.
			*Right pictures: The stars mark the intersections of the circles. When the circles touch (only one intersection) the target lies in the HV-plane.
	===azimuth===		===azimuth===
	* Azimuth is the angle with the FV-plane.		* Azimuth is the angle with the FV-plane.

Lof: /* Double Polar coordinates */

2024-06-03T12:26:01Z

Double Polar coordinates

← Older revision		Revision as of 12:26, 3 June 2024
Line 55:		Line 55:
	The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane. The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see left picture).		The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane. The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see left picture).
	Often only elevation and azimuth is given, assuming the target is in the forward hemisphere and the radius is not relevant.		Often only elevation and azimuth is given, assuming the target is in the forward hemisphere and the radius is not relevant.

	[[file:Double_Polar.png\|double polar coordinates]]		[[file:Double_Polar.png\|double polar coordinates]]

	[[file:Two_intersecting_rings.png\|two intersecting rings]]		[[file:Two_intersecting_rings.png\|two intersecting rings]]

Lof: /* Double Polar coordinates */

2024-06-03T12:25:52Z

Double Polar coordinates

← Older revision		Revision as of 12:25, 3 June 2024
Line 55:		Line 55:
	The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane. The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see left picture).		The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane. The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see left picture).
	Often only elevation and azimuth is given, assuming the target is in the forward hemisphere and the radius is not relevant.		Often only elevation and azimuth is given, assuming the target is in the forward hemisphere and the radius is not relevant.
			[[file:Double_Polar.png\|double polar coordinates]]

	[[file:Two_intersecting_rings.png\|two intersecting rings]]		[[file:Two_intersecting_rings.png\|two intersecting rings]]
	~~[[file:Double_Polar.png\|double polar coordinates]]~~

	Picture: Azimuth and elevation determine two perpendicular circles		Picture: Azimuth and elevation determine two perpendicular circles

Lof: /* Double Polar coordinates */

2024-06-03T12:24:34Z

Double Polar coordinates

← Older revision		Revision as of 12:24, 3 June 2024
Line 53:		Line 53:

	==Double Polar coordinates==		==Double Polar coordinates==
	The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane ~~(see right picture)~~. The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see left picture).		The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane. The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see left picture).
	Often only elevation and azimuth is given, assuming the target is in the forward hemisphere and the radius is not relevant.		Often only elevation and azimuth is given, assuming the target is in the forward hemisphere and the radius is not relevant.

	[[file:Two_intersecting_rings.png\|two intersecting rings]]		[[file:Two_intersecting_rings.png\|two intersecting rings]]
	[[file:Double_Polar.png\|double polar coordinates]]		[[file:Double_Polar.png\|double polar coordinates]]

			Picture: Azimuth and elevation determine two perpendicular circles
	===azimuth===		===azimuth===
	* Azimuth is the angle with the FV-plane.		* Azimuth is the angle with the FV-plane.

Lof: /* Double Polar coordinates */

2024-06-03T12:23:28Z

Double Polar coordinates

← Older revision		Revision as of 12:23, 3 June 2024
Line 53:		Line 53:

	==Double Polar coordinates==		==Double Polar coordinates==
	The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane. The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see picture).		The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane (see right picture). The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see left picture).
			Often only elevation and azimuth is given, assuming the target is in the forward hemisphere and the radius is not relevant.

	[[file:Two_intersecting_rings.png\|two intersecting rings]]		[[file:Two_intersecting_rings.png\|two intersecting rings]]

Lof: /* Double Polar coordinates */

2024-06-03T12:20:22Z

Double Polar coordinates

← Older revision		Revision as of 12:20, 3 June 2024
Line 56:		Line 56:

	[[file:Two_intersecting_rings.png\|two intersecting rings]]		[[file:Two_intersecting_rings.png\|two intersecting rings]]
			[[file:Double_Polar.png\|double polar coordinates]]
	===azimuth===		===azimuth===
	* Azimuth is the angle with the FV-plane.		* Azimuth is the angle with the FV-plane.

Lof: /* Double Polar coordinates */

2024-06-03T12:06:59Z

Double Polar coordinates

← Older revision		Revision as of 12:06, 3 June 2024
Line 54:		Line 54:
	==Double Polar coordinates==		==Double Polar coordinates==
	The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane. The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see picture).		The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane. The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see picture).

	[[file:Two_intersecting_rings.png\|two intersecting rings]]		[[file:Two_intersecting_rings.png\|two intersecting rings]]
	===azimuth===		===azimuth===

Lof: /* Double Polar coordinates */

2024-06-03T12:06:50Z

Double Polar coordinates

← Older revision		Revision as of 12:06, 3 June 2024
Line 53:		Line 53:

	==Double Polar coordinates==		==Double Polar coordinates==
			The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane. The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see picture).
	[[file:Two_intersecting_rings.png\|two intersecting rings]]		[[file:Two_intersecting_rings.png\|two intersecting rings]]
	The double polar coordinates are fixed in the lab. The coordinates are called azimuth , elevation and radius. The azimuth defines a semi-circle parallel to the FV-plane. The elevation defines a circle parallel to the RF-plane. The intersection of the azimuth circle and the elevation circle is the target point. Since there are two intersections (most of the time), the hemisphere of the intersection has to be specified in order to resolve the ambiguity (see picture).
	===azimuth===		===azimuth===
	* Azimuth is the angle with the FV-plane.		* Azimuth is the angle with the FV-plane.