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Prerequisites: The Celestial Sphere

Light Beyond Seeing

This is an early draft. Content may change as it gets reviewed.

The light our eyes detect — red through violet — is a tiny sliver of the electromagnetic spectrum. The universe radiates across all wavelengths, and every band tells a different story.

The full spectrum

All electromagnetic radiation is the same phenomenon: oscillating electric and magnetic fields propagating at the speed of light, $c \approx 3 \times 10^8$ m/s. What changes is the wavelength $\lambda$ (or equivalently, the frequency $f = c/\lambda$ and the photon energy $E = hf$).

Try It: The Electromagnetic Spectrum
Band Wavelength Sees Telescope
Radio > 1 mm Gas clouds, pulsars, cosmic microwave background Arecibo, ALMA, SKA
Infrared 700 nm – 1 mm Dust, cool stars, distant galaxies (redshifted) JWST, Spitzer
Visible 400 – 700 nm Stars, galaxies (as our eyes see them) Hubble, ground telescopes
Ultraviolet 10 – 400 nm Hot stars, active galactic nuclei Hubble (UV mode)
X-ray 0.01 – 10 nm Black hole accretion, supernova remnants, hot gas Chandra, XMM-Newton
Gamma ray < 0.01 nm Gamma-ray bursts, cosmic rays, most energetic events Fermi

Wien’s law and blackbody radiation

Hot objects radiate across the spectrum, but the peak wavelength depends on temperature:

$$\lambda_{\text{peak}} = \frac{2.898 \times 10^{-3}}{T} \text{ m}$$

The Sun (5,778 K) peaks at ~500 nm (green-yellow visible light). A red dwarf (3,000 K) peaks in the infrared. A neutron star (1,000,000 K) peaks in X-rays. Temperature determines colour — which is why the Hertzsprung-Russell diagram’s x-axis is temperature.

Atmospheric windows

Earth’s atmosphere blocks most of the spectrum. Only radio and visible/near-infrared pass through easily — these are the “atmospheric windows.” Everything else (UV, X-ray, gamma, most infrared) requires space telescopes.

This is why JWST had to go to space (infrared), why Chandra is in orbit (X-rays), and why ground-based radio telescopes can be enormous (the atmosphere is transparent at those wavelengths).

Multi-wavelength astronomy

The deepest understanding comes from observing the same object across multiple wavelengths. The Crab Nebula in radio shows synchrotron emission from electrons spiralling in magnetic fields. In visible light, you see the expanding gas shell. In X-rays, the central pulsar blazes. Same object, completely different physics revealed at each wavelength.