Celestial Navigaion - University of Minnesotahspark/CSci5980/Lec3... · Celestial Navigation Far...

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Celestial Navigaion

Transcript of Celestial Navigaion - University of Minnesotahspark/CSci5980/Lec3... · Celestial Navigation Far...

Celestial Navigaion

Where am I?

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.