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Coordinate Transforms. z. x. y. Equatorial and Cartesian Coordinates. declination (δ). Equator. right ascension (α). Equatorial and Cartesian Coordinates. x = Rcosα y = Rsinα. y. α. R. x. right ascension (α). y. declination (δ). z. r = 1. δ. R = rcosδ z = rsinδ. R.
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z x y Equatorial and Cartesian Coordinates declination (δ) Equator right ascension (α)
Equatorial and Cartesian Coordinates x = Rcosαy = Rsinα y α R x rightascension (α) y declination (δ) z r = 1 δ R = rcosδz = rsinδ R
Precession • Because the Earth is not a perfect sphere, it wobbles as it spins around its axis • This effect is known as precession • In the last lecture, I noted that the equatorial coordinate system relied on the idea that the Earth rotated such that only α, and not δ, was a time-dependent coordinate
The effects of Precession • Currently, the star Polaris is the North Star (it lies roughly above the Earth’sNorth Pole at δ = 90oN) • But, over the course ofabout 26,000 years avariety of different pointsin the sky will truly beat δ = 90oN • The declination coordinateis time-dependent albeiton very long timescales • A precise astronomicalcoordinate system must account for this effect
Rotations and Galactic Coordinates NP of Galaxy NP of Earth