One instant, two horizons
A Local Space chart takes each planet’s position at a birth instant and expresses it in horizon coordinates for a location: azimuth around the horizon and altitude above or below it. At the actual birthplace, the directions refer to the birthplace horizon. The relocated form asks a different question: which direction would the planets have pointed from another location at that same instant?
Keep the original recorded local clock time and the UTC offset that applied at the original birthplace. The offset converts that local entry to the one universal instant used for all locations. For example, 12:00 on 1 January 2000 at UTC+8 is 04:00 UTC that day. Entering a New York reference place does not mean treating 12:00 as New York local time; doing so would move the instant by many hours and describe another sky. An incorrect historical daylight-saving offset also changes the instant and every planetary bearing.
The bearing and altitude columns
This site computes apparent topocentric equatorial coordinates for each planet at each observer, then transforms them to horizon coordinates. Its ordinary compass bearing begins at true north, reads 90° east, 180° south, and 270° west. Add 180° and wrap around 360° to translate between the two labels. A planet very near the exact zenith or nadir has no stable bearing even though its altitude remains meaningful.
Altitude is the body’s geometric elevation. A positive value is above the local horizon, and a negative value is below. The calculation does not adjust for atmospheric refraction, elevation, hills, buildings, magnetic north, or whether a distant destination lies along a ray. A birthplace direction and a reference-place direction describe different local horizons; they need not resemble one another.
The zodiac chart alongside the compass
In the companion relocation wheel, the original birth instant is cast for the reference coordinates. The chart engine uses geocentric tropical longitudes for the planet symbols and recalculates the Ascendant, Midheaven, and selected house system at the new place. The planet table pairs that reference zodiac degree and house with the topocentric compass bearing. They are intentionally different coordinate systems: “Sun at 10° Capricorn” is a zodiac position, while “Sun bearing 116°” is a direction along a particular horizon.
Whole Sign, Equal House, Porphyry, Placidus, Campanus, and Regiomontanus are available for the companion wheel. Some quadrant house systems are undefined at high latitudes; the underlying chart engine may label a Porphyry fallback. The form limits polar coordinates because ordinary rising and setting directions and standard house divisions become difficult near the pole. If a birth time is uncertain by hours, neither the relocated angles nor exact horizon bearings should be treated as precise.
Reading the two views
First confirm that the displayed UTC moment matches the birth record. Compare one planet’s birthplace and reference-place compass bearings, then inspect its reference altitude. A change from below to above the horizon is a geometric observation. The companion wheel then shows whether that planet’s house and the Ascendant changed with the chosen place. These observations are a starting point for symbolic interpretation, not a measured promise about the quality of life at that location.
For a direction drawn across a world map, use the Local Space compass and map. For two full zodiac wheels and the complete house comparison, use the relocation calculator. The combined Local Space / Relocation calculator gives the reference horizon and wheel together.