☰ Contents · Astronomy

Meteors and the origin of the Solar System

Lessons 44–45 · 2 lessons · M. Mamadazimov. Astronomy Grade 11, 1st edition. DAVR NASHRIYOTI, Tashkent, 2018
45

Modern views on the origin of the Solar System

Textbook: pp. 99–101
GoalDescribe the modern view of the Solar System’s origin (the protoplanetary disc) and give its evidence.
New words
protoplanetary disc · protoplanetar diskplanetesimal · planetezimalfrost line · muz chizig‘inebular hypothesis · tumanlik gipotezasi
Explanation

The nebular hypothesis was proposed by Kant and Laplace in the 18th century; in the 20th century O. Schmidt (the idea that planets gradually gathered from cold solid particles) and V. Fesenkov put forward hypotheses of their own. In the modern view, ≈ 4.57 billion years ago a fragment of a cold cloud of dust and gas contracted under its own gravity; by conservation of angular momentum it spun faster and flattened into a disc: a proto-Sun at the centre and a protoplanetary disc around it. Dust in the disc clumped into planetesimals (km-sized bodies), which merged into planets. Near the Sun, where it was hot, only rock and metal were solid, so small terrestrial planets formed; beyond the frost line (≈ 3–5 AU) ice was solid too, so cores grew large and pulled in gas, forming the giants. Leftovers are asteroids and comets. Evidence: the planets’ orbits lie in one plane and go one way; meteorites and the Earth are ≈ 4.5 billion years old (radioactive dating); protoplanetary discs around other stars (for example ALMA images) have been imaged. Exoplanets (planets of other stars) are found by the transit method: when a planet crosses in front of its star the light dims by a fraction (Rp : Rs)². The first, 51 Pegasi b, was found in 1995; after the Kepler (2009) and TESS (2018) telescopes the number of confirmed exoplanets has passed 6000.

Worked examples
Conservation of angular momentum: if the cloud’s radius shrinks 10 times its rotation rate grows 10 · 10 = 100 times (like a skater speeding up as the arms are pulled in).
A radioactive isotope with a half-life of 2 billion years has 1/4 of the original amount left: 2 half-lives have passed, so the age is 2 · 2 = 4 billion years.
If the star’s radius is 10 times the planet’s, the dimming is 1/(10 · 10) = 1/100, i.e. 1 %.
Class activity

Sitting on a swivel chair (slowly, with an adult watching), spread and pull in your arms and notice how the spin changes – the conservation of angular momentum.

Practice
1
How old is the Solar System and how is this found?
2
The half-life is 3 billion years and 1/8 of the sample is left. What is the age in billions of years? (3 half-lives · 3)
3
Why are the terrestrial planets small and rocky?
4
Why do the planets’ orbits lie nearly in one plane?
5
The star’s radius is 20 times the planet’s. The light dims to 1/what fraction? (20 · 20)