CDS Physics · Gravitation
Stars and Space
The stars nearest to us, what a constellation really is, the Lagrange points of the Sun and the earth, and India's Giant Metrewave Radio Telescope.
Why this matters
Four CDS questions, two in the 2019 (I) paper and two in the 2024 papers. They are pure recall: one named fact each, with distractors that sound just as likely.
Concept 1 of 2: Nearby stars and constellations
Definition
Facts to know:
- A light year is a distance: how far light travels in one year, about m.
- The Sun is the nearest star to the earth; its light takes about 8 minutes 20 seconds to reach us.
- After the Sun, the nearest star is Proxima Centauri, about 4.24 light years away, part of the Alpha Centauri system.
- Sirius (about 8.6 light years) is the brightest star of the night sky, but not the nearest.
- A constellation is a pattern of stars as seen from the earth; its stars need not be equidistant from us. The International Astronomical Union recognises 88 constellations.
| Star or term | Fact |
|---|---|
| Sun | The nearest star; light takes about 8 min 20 s to reach us |
| Proxima Centauri | Nearest star after the Sun, about 4.24 light yearsQ CDS 2019 (I): of Sirius, Arcturus, Spica and Proxima Centauri, the nearest is Proxima Centauri. |
| Sirius | Brightest star of the night sky, about 8.6 light years |
| Arcturus and Spica | Bright stars much farther away (tens to hundreds of light years) |
| Constellation | A pattern of stars on the sky; the stars may be at very different distancesQ CDS 2019 (I): a constellation is a pattern of stars that may not be equidistant from the earth. |
Practice this conceptself-check · 4 quick reps
The same idea in a real exam question:
Example 1 · Gravitation · Stars and Space
Brightest is not nearest
A constellation is not a group in space
The Sun is a star too
Concept 2 of 2: Lagrange points and the GMRT
Definition
The two facts CDS asks:
- Lagrange points L1 to L5 of a two-body system (such as the Sun and the earth): points where a small body keeps its position relative to the two.
- L1, L2, L3 lie on the line through the two bodies. L1 is between them (Aditya-L1 orbits the Sun-earth L1, about 1.5 million km from the earth); L2 is beyond the earth (the James Webb Space Telescope).
- L4 and L5 lie 60° ahead of and behind the earth in its orbit. Each forms an equilateral triangle with the Sun and the earth.
- The Giant Metrewave Radio Telescope (GMRT), at Khodad near Narayangaon, about 80 km north of Pune, is an array of 30 fully steerable parabolic dishes, each 45 m across, working at metre wavelengths. It is run by the National Centre for Radio Astrophysics (TIFR).
| Place or instrument | Fact |
|---|---|
| Sun-earth L1 | On the Sun-earth line, between them; home of Aditya-L1 |
| Sun-earth L2 | On the line, beyond the earth; home of the James Webb Space Telescope |
| Sun-earth L4 (and L5) | Sun, earth and the point form an equilateral triangleQ CDS 2024 (II): the Sun, the earth and L4 form an equilateral triangle. |
| GMRT | 30 parabolic dishes, each 45 m across, near PuneQ CDS 2024 (I): the GMRT consists of multiple parabolic antennas. |
Practice this conceptself-check · 4 quick reps
The same idea in a real exam question:
Example 2 · Gravitation · Stars and Space
L4 and L5 are off the line
The GMRT is many dishes, not one
Summary — formulas & gotchas at a glance
A revision cheat-sheet for the formulas and gotchas above. Click any concept name to jump back to its full explanation.
Reference tables (2)
Nearby stars and constellations5 rows
| Star or term | Fact |
|---|---|
| Sun | The nearest star; light takes about 8 min 20 s to reach us |
| Proxima Centauri | Nearest star after the Sun, about 4.24 light yearsQ CDS 2019 (I): of Sirius, Arcturus, Spica and Proxima Centauri, the nearest is Proxima Centauri. |
| Sirius | Brightest star of the night sky, about 8.6 light years |
| Arcturus and Spica | Bright stars much farther away (tens to hundreds of light years) |
| Constellation | A pattern of stars on the sky; the stars may be at very different distancesQ CDS 2019 (I): a constellation is a pattern of stars that may not be equidistant from the earth. |
Lagrange points and the GMRT4 rows
| Place or instrument | Fact |
|---|---|
| Sun-earth L1 | On the Sun-earth line, between them; home of Aditya-L1 |
| Sun-earth L2 | On the line, beyond the earth; home of the James Webb Space Telescope |
| Sun-earth L4 (and L5) | Sun, earth and the point form an equilateral triangleQ CDS 2024 (II): the Sun, the earth and L4 form an equilateral triangle. |
| GMRT | 30 parabolic dishes, each 45 m across, near PuneQ CDS 2024 (I): the GMRT consists of multiple parabolic antennas. |
Watch out for (5)
- Brightest is not nearest→ Nearby stars and constellations
- A constellation is not a group in space→ Nearby stars and constellations
- The Sun is a star too→ Nearby stars and constellations
- L4 and L5 are off the line→ Lagrange points and the GMRT
- The GMRT is many dishes, not one→ Lagrange points and the GMRT
Test yourself on a real paper
Sit a past CDS paper, timed and marked the way the exam marks it. You see your score and every answer the moment you finish. Free to start.