local mean solar time: UT+east longitude
local mean sidereal time: Greenwich mean sidereal time+east longitude
local apparent sidereal time: local mean sidereal time+equation of equinoxes: [local apparent sidereal time]-[apparent right ascension]
local hour angle: [local apparent sidereal time]-[apparent right ascension] = [local mean sidereal time]-([apparent right ascension]-[equation of equinoxes]).