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diff --git a/libtellurian.h.0 b/libtellurian.h.0 new file mode 100644 index 0000000..472d35c --- /dev/null +++ b/libtellurian.h.0 @@ -0,0 +1,201 @@ +.TH LIBTELLURIAN.H 0 libtellurian +.SH NAME +libtellurian.h \- Geodesy library header + +.SH SYNPOSIS +.nf +#include <libtellurian.h> + +#define LIBTELLURIAN_EQUATORIAL_RADIUS 6378137.0 +#define LIBTELLURIAN_POLAR_RADIUS 6356752.314245 + +#define LIBTELLURIAN_MEAN_RADIUS /* derived value omitted */ +#define LIBTELLURIAN_VOLUMETRIC_RADIUS /* derived value omitted */ +#define LIBTELLURIAN_AUTHALIC_RADIUS /* derived value omitted */ +#define LIBTELLURIAN_RECTIFYING_RADIUS /* derived value omitted */ + +#define LIBTELLURIAN_NOMINAL_EQUATORIAL_RADIUS 6378100. +#define LIBTELLURIAN_NOMINAL_POLAR_RADIUS 6356800. +#define LIBTELLURIAN_NOMINAL_RADIUS LIBTELLURIAN_NOMINAL_EQUATORIAL_RADIUS + +#define LIBTELLURIAN_EQUATORIAL_CIRCUMFERENCE /* derived value omitted */ +#define LIBTELLURIAN_POLAR_CIRCUMFERENCE /* derived value omitted */ + +#define LIBTELLURIAN_MEAN_CIRCUMFERENCE /* derived value omitted */ +#define LIBTELLURIAN_VOLUMETRIC_CIRCUMFERENCE /* derived value omitted */ +#define LIBTELLURIAN_AUTHALIC_CIRCUMFERENCE /* derived value omitted */ +#define LIBTELLURIAN_MERIDIONAL_CIRCUMFERENCE /* derived value omitted */ + +#define LIBTELLURIAN_EQUATORIAL_GRAVITY 9.7803253359 +#define LIBTELLURIAN_POLAR_GRAVITY 9.8321849378 +#define LIBTELLURIAN_NORMAL_EQUATORIAL_GRAVITY /* derived value omitted */ +#define LIBTELLURIAN_NORMAL_POLAR_GRAVITY LIBTELLURIAN_POLAR_GRAVITY + +#define LIBTELLURIAN_MASS_OF_EARTH 5.972168e24 +#define LIBTELLURIAN_ANGULAR_VELOCITY 7.292115e-5 +#define LIBTELLURIAN_GEOCENTRIC_GRAVITATIONAL_CONSTANT 3.986004418e14 +.fi +.PP +Link with +.I -ltellurian +.IR -lm . + +.SH DESCRIPTION +.B libtellurian.h +provides a collection of constants useful for geodesy: +.TP +.B LIBTELLURIAN_EQUATORIAL_RADIUS +The Earth's semimajor axes, in meters, which is the radius +of the of the circle formed by the Earth's equator, when +modelled as a spheroid. + +This value is a measurement and is subject to refinement. +.TP +.B LIBTELLURIAN_POLAR_RADIUS +The Earth's semiminor axis, in meters, which is the distance +the center of the Earth, when modelled as a spheroid, and +either pole. + +This value is a measurement and is subject to refinement. +.TP +.B LIBTELLURIAN_MEAN_RADIUS +The arithmetic mean of +.I LIBTELLURIAN_EQUATORIAL_RADIUS +and +.IR LIBTELLURIAN_POLAR_RADIUS . +.TP +.B LIBTELLURIAN_VOLUMETRIC_RADIUS +The geometric mean of +.I LIBTELLURIAN_EQUATORIAL_RADIUS +and +.IR LIBTELLURIAN_POLAR_RADIUS , +which is the radius of a sphere with the same volume as +the Earth. +.TP +.B LIBTELLURIAN_AUTHALIC_RADIUS +The radius, in meters, of a sphere with the same area +as the Earth. + +This is a value derived from +.I LIBTELLURIAN_EQUATORIAL_RADIUS +and +.IR LIBTELLURIAN_POLAR_RADIUS . +.TP +.B LIBTELLURIAN_RECTIFYING_RADIUS +The radius, in meters, of a sphere with the same +circumference as the a great ellipse, on the Earth's +ellipsoid, intersecting with both poles (the +meridional circumference). + +This is a value derived from +.I LIBTELLURIAN_EQUATORIAL_RADIUS +and +.IR LIBTELLURIAN_POLAR_RADIUS . +.TP +.B LIBTELLURIAN_NOMINAL_EQUATORIAL_RADIUS +The Earth's nominal equatorial radius, in meters, +which is a standardised approximate value of +.IR LIBTELLURIAN_EQUATORIAL_RADIUS . +.TP +.B LIBTELLURIAN_NOMINAL_POLAR_RADIUS +The Earth's nominal polar radius, in meters, +which is a standardised approximate value of +.IR LIBTELLURIAN_POLAR_RADIUS . +.TP +.B LIBTELLURIAN_NOMINAL_RADIUS +The Earth's nominal radius, in meters, which is +a standardised approximate value of +.IR LIBTELLURIAN_EQUATORIAL_RADIUS , +and is a synonym for +.IR LIBTELLURIAN_NOMINAL_EQUATORIAL_RADIUS . +.TP +.B LIBTELLURIAN_EQUATORIAL_CIRCUMFERENCE +The circumference, in meters, of a circle with the radius +.IR LIBTELLURIAN_EQUATORIAL_RADIUS . +.TP +.B LIBTELLURIAN_POLAR_CIRCUMFERENCE +The circumference, in meters, of a circle with the radius +.IR LIBTELLURIAN_POLAR_RADIUS . +.TP +.B LIBTELLURIAN_MEAN_CIRCUMFERENCE +The circumference, in meters, of a circle with the radius +.IR LIBTELLURIAN_MEAN_RADIUS . +.TP +.B LIBTELLURIAN_VOLUMETRIC_CIRCUMFERENCE +The circumference, in meters, of a circle with the radius +.IR LIBTELLURIAN_VOLUMETRIC_RADIUS . +.TP +.B LIBTELLURIAN_AUTHALIC_CIRCUMFERENCE +The circumference, in meters, of a circle with the radius +.IR LIBTELLURIAN_AUTHALIC_RADIUS . +.TP +.B LIBTELLURIAN_MERIDIONAL_CIRCUMFERENCE +The circumference, in meters, of a circle with the radius +.IR LIBTELLURIAN_RECTIFYING_RADIUS . +.TP +.B LIBTELLURIAN_EQUATORIAL_GRAVITY +The Earth's gravity, in meters per square second, at the equator. + +This value is a measurement and is subject to refinement. +.TP +.B LIBTELLURIAN_POLAR_GRAVITY +The Earth's gravity, in meters per square second, at the poles. + +This value is a measurement and is subject to refinement. +.TP +.B LIBTELLURIAN_NORMAL_EQUATORIAL_GRAVITY +The Earth's normal gravity, in meters per square second, at +the equator. This is a gravity theoretical gravitational +acceleration at the Earth's ellipsoid unaffected by rotation +and assuming the Earth's is spheroidal. + +This value is derived from +.IR LIBTELLURIAN_EQUATORIAL_GRAVITY , +.IR LIBTELLURIAN_EQUATORIAL_RADIUS , +and +.IR LIBTELLURIAN_ANGULAR_VELOCITY . +.TP +.B LIBTELLURIAN_NORMAL_POLAR_GRAVITY +The Earth's normal gravity, in meters per square second, at +the poles. This is a gravity theoretical gravitational +acceleration at the Earth's ellipsoid unaffected by rotation +and assuming the Earth's is spheroidal. + +This is an alias for a measurement and is subject to refinement. +.TP +.B LIBTELLURIAN_MASS_OF_EARTH +The mass of the Earth, in kilograms. + +This value is a measurement and is subject to refinement. +.TP +.B LIBTELLURIAN_ANGULAR_VELOCITY +The Earth's nominal mean angular velocity, in radians per second. + +This value is a measurement and is subject to refinement. +.TP +.B LIBTELLURIAN_GEOCENTRIC_GRAVITATIONAL_CONSTANT +The geocentric gravitational constant, in cubic meters per square +second. This is the product of the (universal) gravitational +constant and the Earth's mass, however this value is more reliable +than both the mass of the Earth and the (even less reliable) +universal gravitational constant. + +This value is a measurement and is subject to refinement. +.PP +.B libtellurian.h +also defines a number of geodesy functions. See +.BR libtellurian (7) +for more information. + +.SH SEE ALSO +.BR libtellurian (7), +.BR libtellurian_sea_level (3), +.BR libtellurian_coarse_distance (3), +.BR libtellurian_distance (3), +.BR libtellurian_end_point (3), +.BR libtellurian_normal_gravity (3), +.BR libtellurian_elevated_gravity (3), +.BR libtellurian_meridian_radius (3), +.BR libtellurian_transverse_radius (3), +.BR libtellurian_azimuthal_radius (3), +.BR libtellurian_gaussian_radius (3) |