Physics · IGCSE 0625 · §6.1–6.2

Space Physics

From the turning of a single day to the expansion of the whole Universe, the same few laws of motion and gravity reach across every scale we know.

Physics · 0625 Topic 6 of 6

The Earth, Sun and Moon

Sun rocky planets gas giants
FIG 6.1 The Solar System: four small rocky planets near the Sun, four large gaseous planets beyond.

Three of the familiar rhythms — day and night, the seasons, the phases of the Moon — all come from simple motions: the Earth spinning, the Earth orbiting the Sun, and the Moon orbiting the Earth.

Definition
Three motions
The Earth spins once in about 24 hours; it orbits the Sun in about 365 days; the Moon orbits the Earth in about one month.

Three rhythms of the sky

The Earth rotates on its tilted axis once in about 24 hours, giving the apparent daily motion of the Sun across the sky and the cycle of day and night. It orbits the Sun once in about 365 days; because its axis is tilted, this produces the seasons. The Moon orbits the Earth in about one month, giving the Moon’s cycle of phases.

sunlight tilted axis night day
FIG 6.2 One half of the spinning, tilted Earth faces the Sun (day); the other faces away (night).

ExtendedOrbital speed

The orbital speed is the orbit’s circumference divided by the period: v = 2πr / T. Worked example: the Earth orbits the Sun at a radius of 1.5 × 10¹¹ m once every 3.15 × 10⁷ s, so v = 2π × 1.5 × 10¹¹ / 3.15 × 10⁷ ≈ 3.0 × 10⁴ m/s — about 30 km every second.

Definition
Orbital speed
Extended: v = 2πr / T — the orbit’s circumference divided by the time for one orbit, in m/s.
Examiner note
The seasons are caused by the tilt of the Earth’s axis — not by the Earth’s changing distance from the Sun.

The Solar System

Our Solar System is one star and everything bound to it — eight planets, their moons, and a scattering of smaller bodies — all formed from the same slowly collapsing cloud of gas and dust.

What the Solar System contains

The Solar System contains one star, the Sun; the eight planets in order from it; minor planets such as the dwarf planet Pluto and the asteroids of the asteroid belt; moons orbiting the planets; and smaller bodies including comets. The four planets nearest the Sun are small and rocky; the four furthest are large and gaseous.

Definition
The eight planets
Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune — in order from the Sun. The inner four are small and rocky; the outer four are large and gaseous.
rocky gaseous
FIG 6.3 The eight planets in order from the Sun (sizes not to scale).

How it formed

The Solar System formed by accretion: an interstellar cloud of gas and dust, containing many elements, was pulled together by gravity. As the material rotated it flattened into an accretion disc, from which the Sun and planets gradually built up.

Examiner note
The four inner planets are small and rocky; the four outer planets are large and gaseous.
Why this matters
The same accretion model explains why other stars, too, can have planets around them.

Gravity, light and orbits

Gravity rules the Solar System. The Sun holds nearly all its mass, and that gravity keeps every planet in orbit. Distances are so vast that even light takes minutes or hours to cross them.

Gravity and light-travel time

A planet’s gravitational field strength at its surface depends on the planet’s mass, and it weakens with distance from the planet. The Sun contains most of the Solar System’s mass, so its gravitational attraction holds the planets in orbit. Distances are measured by how long light takes to cross them.

Definition
Gravitational field strength
Greater at the surface of a more massive planet; weaker further from the planet. The Sun holds almost all the Solar System’s mass, so its gravity keeps the planets in orbit.

Worked example: the Sun is 1.5 × 10¹¹ m from Earth and light travels at 3.0 × 10⁸ m/s, so sunlight takes t = 1.5 × 10¹¹ / 3.0 × 10⁸ = 500 s, a little over 8 minutes, to reach us.

ExtendedElliptical orbits

Planets, minor planets and comets follow elliptical orbits, with the Sun not at the centre. Further from the Sun, its gravitational field is weaker and the planet’s orbital speed is smaller. A body on an elliptical orbit travels faster when closer to the Sun — a consequence of the conservation of energy.

Examiner note
The Sun holds almost all the Solar System’s mass, and its gravity is the force that keeps the planets in orbit.
Why this matters
Distances in the Solar System are so vast that even light takes minutes or hours to cross them.

The Sun as a star

The Sun is not special — it is a fairly ordinary, medium-sized star. What makes it the centre of our lives is simply that it is so close.

Definition
The Sun
A medium-sized star, made mostly of hydrogen and helium. It radiates most of its energy as infrared, visible and ultraviolet light.

An ordinary star

The Sun is a medium-sized star consisting mostly of hydrogen and helium. It radiates most of its energy in the infrared, visible and ultraviolet regions of the electromagnetic spectrum.

Stars are powered by nuclear reactions that release energy. In a stable star such as the Sun, these reactions are the fusion of hydrogen into helium.

Examiner note
The Sun radiates most of its energy as infrared, visible and ultraviolet light.
Why this matters
Stable stars are powered by the fusion of hydrogen into helium — the same process introduced in Nuclear Physics.

Stars, galaxies and light-years

Beyond the Solar System the distances become so vast that ordinary units fail. Astronomers measure them by the time light takes to cross them — the light-year. This section is Extended.

Definition
Light-year
The distance light travels through space in one year — about 9.5 × 10¹⁵ m. It is a distance, not a time.

ExtendedGalaxies and light-years

A galaxy is made up of many billions of stars. Our Sun is a star in the galaxy called the Milky Way, and every other star in it lies far further from Earth than the Sun does. Such distances are measured in light-years: one light-year is the distance light travels through space in one year, about 9.5 × 10¹⁵ m. The light reaching us from a distant star therefore left it years — sometimes millions of years — ago, so looking out into space is also looking back in time.

Examiner note
A light-year is a distance, not a time. It measures how far light goes in a year.
Why this matters
The light reaching us from a distant star left it years — sometimes millions of years — ago, so looking out into space is also looking back in time.

The life cycle of a star

This section is Extended. Every star is born from a cloud of gas, lives by balancing gravity against the heat of fusion, and dies when its hydrogen runs out. What happens at the end depends on one thing: its mass.

ExtendedFrom nebula to remnant

A star forms from an interstellar cloud of gas and dust containing hydrogen. Gravity collapses it into a protostar, which heats up until it becomes a stable star — gravity balanced by the outward force of its high temperature. When the central hydrogen is used up, the star expands into a red giant, or a red supergiant if it is more massive.

Definition
Protostar
A collapsing cloud of gas and dust heating up under its own gravity; it becomes a stable star when gravity is balanced by the outward push of its heat.
nebula stable star red giant planetary nebula white dwarf red super- giant supernova neutron★ / black hole
FIG 6.4 Two paths: a less massive star (upper) ends as a white dwarf; a massive one (lower) explodes as a supernova.

A less massive star then throws off a planetary nebula and is left as a white dwarf. A massive star explodes as a supernova, leaving behind a neutron star or, if massive enough, a black hole.

Examiner note
Two endings: a less massive star ends as a white dwarf; a massive one explodes as a supernova and leaves a neutron star or black hole.

The expanding Universe

This section is Extended. The Milky Way is one of many billions of galaxies, about 100 000 light-years across. The light from the others carries a clue that changed our whole picture of the cosmos: it is stretched towards the red.

Definition
Redshift
The increase in observed wavelength of light from a star or galaxy moving away from us — evidence that the Universe is expanding.

ExtendedRedshift and the Big Bang

Light from distant galaxies is redshifted — its observed wavelength is longer than the light emitted on Earth — because those galaxies are moving away from us. This is evidence that the Universe is expanding, which supports the Big Bang Theory.

nearby: line in place distant: line shifted to red →
FIG 6.5 A spectral line from a receding galaxy is shifted towards the red (longer-wavelength) end.

ExtendedCosmic microwave background

Cosmic microwave background radiation (CMBR) is microwave radiation of a specific frequency observed at all points in space. It was produced shortly after the Universe formed and has been stretched into the microwave region of the spectrum as the Universe expanded.

Examiner note
Redshift means the wavelength increases. Saying it decreases reverses the evidence for expansion.
Why this matters
Cosmic microwave background radiation is seen from every direction in space — the cooled afterglow of the early Universe.

Hubble’s law and the age of the Universe

This section is Extended. The further away a galaxy is, the faster it recedes. That simple relationship — Hubble’s law — lets us estimate something extraordinary: the age of the Universe itself.

ExtendedSpeed, distance and age

A galaxy’s recession speed v is found from the redshift of its light, and its distance d from the brightness of a supernova within it. The two are linked by the Hubble constant H₀: v = H₀d. Rearranged, 1/H₀ = d/v gives an estimate for the age of the Universe — evidence that all matter began at a single point.

Definition
Hubble constant
The ratio of a galaxy’s recession speed to its distance, v = H₀d. Current estimate H₀ ≈ 2.2 × 10⁻¹⁸ per second.

Worked example: taking H₀ = 2.2 × 10⁻¹⁸ per second, age ≈ 1 / H₀ = 1 / (2.2 × 10⁻¹⁸) ≈ 4.5 × 10¹⁷ s — about 14 billion years.

Examiner note
1/H₀ estimates the age of the Universe. Keep H₀ in per second to get an age in seconds.

Exam advice

Common mistakes

Blaming the seasons on distance
The seasons come from the tilt of the Earth’s axis, not from any change in distance from the Sun.
Light-year as a time
A light-year is a distance — how far light travels in a year — not a length of time.
Redshift the wrong way
Redshift is an increase in observed wavelength. Saying it decreases reverses the evidence for expansion.
Mixing up stellar endings
A less massive star ends as a white dwarf; only a massive star leaves a neutron star or black hole.
Wrong units for H₀
Keep the Hubble constant in per second, so that 1/H₀ gives the age of the Universe in seconds.

Model answer

A galaxy is 8.0 × 10²⁴ m from Earth (H₀ = 2.2 × 10⁻¹⁸ per second). (a) Find its recession speed. (b) Estimate the age of the Universe.
[4 marks]
Mark 1
Apply Hubble’s law
v = H₀d = 2.2 × 10⁻¹⁸ × 8.0 × 10²⁴.
Mark 2
Evaluate the speed
v ≈ 1.8 × 10⁷ m/s.
Mark 3
Set up the age estimate
1/H₀ = 1 / (2.2 × 10⁻¹⁸).
Mark 4
Evaluate the age
age ≈ 4.5 × 10¹⁷ s (about 14 billion years).

Recall checklist

  • Explain day, night, the seasons and the Moon’s phases in terms of the three motions.
  • Use v = 2πr / T for orbital speed (Extended).
  • List the Solar System’s contents and the order of the planets, and describe accretion.
  • Describe how gravitational field strength varies and how the Sun holds the planets in orbit.
  • Calculate light-travel time from distance and the speed of light.
  • Describe the Sun as a medium star powered by hydrogen fusion.
  • Define the light-year and explain why distant light shows the past (Extended).
  • Describe the life cycle of low-mass and high-mass stars (Extended).
  • Explain redshift and CMBR as evidence for an expanding Universe and the Big Bang (Extended).
  • Recall and use v = H₀d and estimate the age of the Universe as 1/H₀ (Extended).

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