Functions
template<typename T >
T	EGXPhys::DeclinationToDegree (const T integerDegree, const T arcminute, const T arcsecond)
	Converts declination \((\alpha_{DE})\) from degrees \((DE_{deg})\), arcminutes \((DE_{arcmin})\) and arcseconds \((DE_{arcsec})\) to (decimal) degrees. \[\alpha_{deg}=DE_{deg} + \frac{DE_{arcmin}}{60} + \frac{DE_{arcsec}}{3600} \] See https://en.wikipedia.org/wiki/Declination, https://en.wikipedia.org/wiki/Geographic_coordinate_conversion and https://en.wikipedia.org/wiki/Minute_and_second_of_arc. More...

template<typename T >
void	EGXPhys::DegreeToDeclination (const T decimalDegree, T &integerDegree, T &arcminute, T &arcsecond)
	Converts an angle in (decimal) degree to declination in degrees \((DE_{deg})\), arcminutes \((DE_{arcmin})\) and arcseconds \((DE_{arcsec})\) (DMS). \({DD}^{\circ}{MM}'{SS.SS}''\) format. \[DE_{deg}=trun(\alpha_{deg})\] \[DE_{arcmin}=trun(60 * \|\alpha_{deg} - degree\|)\] \[DE_{arcsec}=60 * ((60 * \|\alpha_{deg} - degree\|)-arcminute)\] . More...

template<typename T >
T	EGXPhys::DeclinationToRadian (const T integerDegree, const T arcminute, const T arcsecond)
	Converts declination \((\alpha_{DE})\) from degrees \((DE_{deg})\), arcminutes \((DE_{arcmin})\) and arcseconds \((DE_{arcsec})\) to radians. \[\alpha_{rad}=\frac{\pi}{180}(DE_{deg} + \frac{DE_{arcmin}}{60} + \frac{DE_{arcsec}}{3600})\] See https://en.wikipedia.org/wiki/Declination, https://en.wikipedia.org/wiki/Geographic_coordinate_conversion and https://en.wikipedia.org/wiki/Minute_and_second_of_arc. More...

template<typename T >
void	EGXPhys::RadianToDeclination (const T radian, T &integerDegree, T &arcminute, T &arcsecond)
	Converts an angle in radian to declination in degrees \((DE_{deg})\), arcminutes \((DE_{arcmin})\) and arcseconds \((DE_{arcsec})\) (DMS). \({DD}^{\circ}{MM}'{SS.SS}''\) format. \[DE_{deg}=trun(\frac{180}{\pi}\alpha_{rad})\] \[DE_{arcmin}=trun(60 * \|\frac{180}{\pi}\alpha_{rad} - degree\|)\] \[DE_{arcsec}=60 * ((60 * \|\frac{180}{\pi}\alpha_{rad} - degree\|)-arcminute)\] . More...

Detailed Description

Function Documentation

◆ DeclinationToDegree()

template<typename T >

T EGXPhys::DeclinationToDegree	(	const T	integerDegree,
		const T	arcminute,
		const T	arcsecond
	)

Converts declination \((\alpha_{DE})\) from degrees \((DE_{deg})\), arcminutes \((DE_{arcmin})\) and arcseconds \((DE_{arcsec})\) to (decimal) degrees.

\[\alpha_{deg}=DE_{deg} + \frac{DE_{arcmin}}{60} + \frac{DE_{arcsec}}{3600} \]

See https://en.wikipedia.org/wiki/Declination, https://en.wikipedia.org/wiki/Geographic_coordinate_conversion and https://en.wikipedia.org/wiki/Minute_and_second_of_arc.

Parameters

integerDegree	\(degree\ (deg)\) is the angle in degrees in whole numbers.
arcminute	\(arcminute\ (arcmin)\) is the angle in arcminute in whole numbers. Note that this is 1/60 of an degree. It is not equal to minutes.
arcsecond	\(arcsecond\ (arcsec)\) is the angle in arcsecond. Note that this is 1/60 of a arcminute, not minute. It is not equal to seconds.

Returns: \(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.

See also: DegreesMinutesSecondsToDegree() for alias.; DMSToDegree() for alias.; DeclinationToRadian() for conversion from radians.

◆ DeclinationToRadian()

template<typename T >

T EGXPhys::DeclinationToRadian	(	const T	integerDegree,
		const T	arcminute,
		const T	arcsecond
	)

Converts declination \((\alpha_{DE})\) from degrees \((DE_{deg})\), arcminutes \((DE_{arcmin})\) and arcseconds \((DE_{arcsec})\) to radians.

\[\alpha_{rad}=\frac{\pi}{180}(DE_{deg} + \frac{DE_{arcmin}}{60} + \frac{DE_{arcsec}}{3600})\]

See https://en.wikipedia.org/wiki/Declination, https://en.wikipedia.org/wiki/Geographic_coordinate_conversion and https://en.wikipedia.org/wiki/Minute_and_second_of_arc.

Parameters

integerDegree	\(degree\ (deg)\) is the angle in degrees in whole numbers.
arcminute	\(arcminute\ (arcmin)\) is the angle in arcminute in whole numbers. Note that this is 1/60 of an degree. It is not equal to minutes.
arcsecond	\(arcsecond\ (arcsec)\) is the angle in arcsecond. Note that this is 1/60 of a arcminute, not minute. It is not equal to seconds.

Returns: \(\alpha_{rad}\ (rad)\) is the angle in radians.

See also: DegreesMinutesSecondsToRadian() for alias.; DMSToRadian() for alias.; DeclinationToDegree() for conversion from (decimal) degrees.

◆ DegreeToDeclination()

template<typename T >

void EGXPhys::DegreeToDeclination	(	const T	decimalDegree,
		T &	integerDegree,
		T &	arcminute,
		T &	arcsecond
	)

Converts an angle in (decimal) degree to declination in degrees \((DE_{deg})\), arcminutes \((DE_{arcmin})\) and arcseconds \((DE_{arcsec})\) (DMS). \({DD}^{\circ}{MM}'{SS.SS}''\) format.

\[DE_{deg}=trun(\alpha_{deg})\]

\[DE_{arcmin}=trun(60 * |\alpha_{deg} - degree|)\]

\[DE_{arcsec}=60 * ((60 * |\alpha_{deg} - degree|)-arcminute)\]

.

Where trunc is the integer truncation command.

See https://en.wikipedia.org/wiki/Declination, https://en.wikipedia.org/wiki/Geographic_coordinate_conversion and https://en.wikipedia.org/wiki/Minute_and_second_of_arc

Parameters

decimalDegree	\(\alpha_{deg}\ (deg)\) is the angle in (decimal) degrees.
integerDegree	\(degree\ (deg int)\) is the angle in integer degrees.
arcminute	\(arcminute\ (arcmin)\) is the angle in arcminutes in whole numbers. Note that this is 1/60 of an degree. It is not equal to minutes.
arcsecond	\(arcsecond\ (arcsec)\) is the angle in arcseconds. Note that this is 1/60 of a arcminute, not minute. It is not equal to seconds.

See also: DegreeToDegreesMinutesSeconds() for alias.; DegreeToDMS() for alias.; DecimalDegreeToDegreesMinutesSeconds() for alias.; DecimalDegreeToDMS() for alias.; RadianToDeclination() for conversion from radians.

◆ RadianToDeclination()

template<typename T >

void EGXPhys::RadianToDeclination	(	const T	radian,
		T &	integerDegree,
		T &	arcminute,
		T &	arcsecond
	)

Converts an angle in radian to declination in degrees \((DE_{deg})\), arcminutes \((DE_{arcmin})\) and arcseconds \((DE_{arcsec})\) (DMS). \({DD}^{\circ}{MM}'{SS.SS}''\) format.

\[DE_{deg}=trun(\frac{180}{\pi}\alpha_{rad})\]

\[DE_{arcmin}=trun(60 * |\frac{180}{\pi}\alpha_{rad} - degree|)\]

\[DE_{arcsec}=60 * ((60 * |\frac{180}{\pi}\alpha_{rad} - degree|)-arcminute)\]

.

See https://en.wikipedia.org/wiki/Declination, https://en.wikipedia.org/wiki/Geographic_coordinate_conversion and https://en.wikipedia.org/wiki/Minute_and_second_of_arc

Parameters

radian	\(\alpha_{rad}\ (rad)\) is the angle in radians.
integerDegree	\(degree\ (deg)\) is the angle in degrees in whole numbers.
arcminute	\(arcminute\ (arcmin)\) is the angle in arcminute in whole numbers. Note that this is 1/60 of an degree. It is not equal to minutes.
arcsecond	\(arcsecond\ (arcsec)\) is the angle in arcsecond. Note that this is 1/60 of a arcminute, not minute. It is not equal to seconds.

See also: RadianToDegreesMinutesSeconds() for alias.; RadianToDMS() for alias.; DegreeToDeclination() for conversion from (decimal) degrees.

Functions

Detailed Description

Function Documentation

◆ DeclinationToDegree()

◆ DeclinationToRadian()

◆ DegreeToDeclination()

◆ RadianToDeclination()