celestial navigaion - university of minnesota · celestial navigation far far away: point at...

Where am I?

Celestial Navigaion

Celestial Navigation

Earth

Far far away: point at infinity

My location

Celestial Navigation

Earth

Far far away: point at infinity

My location

Celestial Navigation

Earth

Far far away: point at infinity

My location

Projection of the star

Celestial Navigation

Earth

Far far away: point at infinity

My location

Projection of the star

57 stars for navigation

Celestial Navigation

Earth

Far far away: point at infinity

Projection of the star

My location

Zenith

57 stars for navigation

Celestial Navigation

Earth

Far far away: point at infinity

Projection of the star

My location

rr

r : radius of earth

: angle between stars

Zenith

Celestial Navigation Far far away: point at infinity

My location

Horizon

Sextant

Earth

Projection of the star

Zenith

Celestial Navigation Far far away: point at infinity

My location

Horizon

Sextant

Earth

Projection of the star

Direction does not change because the star is infinitly far away.

Zenith

Celestial Navigation Far far away: point at infinity

My location

Horizon

Sextant

Earth

Projection of the star

rr

r : radius of earth

: angle between stars

Orthographic proj.

Zenith

Celestial Navigation Far far away: point at infinity

Horizon

Sextant

Earth

r : radius of earth

: angle between stars

Celestial Navigation Far far away: point at infinity

Horizon

Sextant

Earth

At least two stars are needed.

Celestial Navigation Far far away: point at infinity

Horizon

Earth

At least two stars are needed.

Two points at infinity (vanishing points) tells us about where I am.