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ASTRO 101: Black Holes Module 2

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Notes for ASTRO 101 based on the official Coursera videos for the class. Covers Module 2.

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  • December 31, 2024
  • 8
  • 2024/2025
  • Class notes
  • Gregory sivakoff
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‭Module 2‬

‭The Stellar Nursery:‬

‭To understand the story of black holes, we must begin by exploring the formation of stars‬
‭and their eventual fates. Black holes, specifically stellar-mass ones, form from high-mass‬
‭stars that end their lives in violent explosions called Type-II or Core-Collapse Supernovae.‬
‭These events release immense energy, equivalent to the Sun’s output over 825 billion‬
‭years.‬

‭Star Formation‬

‭Stars form within molecular clouds, cold and dense regions of gas and dust in the‬
‭interstellar medium. Gravity overcomes gas pressure, causing these clouds to collapse‬
‭and release gravitational potential energy, which is converted to heat. As the collapse‬
‭progresses, molecular collisions allow energy to escape as light, preventing pressure‬
‭buildup that could halt the process.‬

‭When the cloud's density increases significantly, radiation gets trapped, leading to the‬
‭formation of a protostar. Protostars resemble stars in luminosity but lack nuclear fusion.‬
‭They gather material from their surroundings until gravity compresses their core to a‬
‭temperature of 10 million Kelvin, enabling stable nuclear fusion. At this point, the star‬
‭achieves hydrostatic equilibrium—a balance between gravity and gas pressure—and can‬
‭remain stable for billions of years, as our Sun is now.‬

‭Complexity of Star Formation‬

‭Star formation is influenced by magnetic fields, which slow contraction, and turbulence,‬
‭which resists gravitational collapse. Large molecular clouds fragment into smaller‬
‭regions, often producing multiple stars. Protostars can form disks and eject material‬
‭through jets, adding complexity to the process.‬

‭Stellar Evolution and Black Holes‬

‭The variety of stars formed leads to diverse outcomes. For massive stars, the immense‬
‭gravitational force following their collapse creates black holes. These remnants are a‬
‭testament to the extreme processes stars undergo during their lifetimes and deaths.‬

, ‭Where Are the Sun’s Siblings?‬
‭The Sun, like many stars, likely formed in a stellar cluster alongside other stars, its "stellar‬
‭siblings." Over time, these stars have spread throughout the galaxy as the cluster‬
‭dissolved. While we can no longer directly track our exact stellar siblings, we can identify‬
‭stars with similar chemical compositions to the Sun, suggesting they were formed in the‬
‭same cluster. However, tracing these stars back to their original formation locations is‬
‭impossible due to the complex dynamics of star movement over billions of years. Despite‬
‭this, we occasionally encounter these sibling stars as they travel through the galaxy.‬



‭Hertzsprung-Russell Diagram‬

‭The Hertzsprung-Russell (HR) diagram is a tool used in astrophysics to analyze the‬
‭properties of stars. It plots stars based on luminosity (vertical axis) and temperature‬
‭(horizontal axis, with temperature increasing leftward). The most notable feature of the‬
‭HR diagram is the "main sequence," a diagonal band of stars that stretches from low‬
‭luminosity and temperature to high luminosity and temperature. Stars on the main‬
‭sequence, like the Sun, are in a stable phase of fusion, converting hydrogen into helium.‬
‭This phase lasts the longest in a star's life.‬

‭The luminosity of a star is strongly linked to its mass: more massive stars are brighter due‬
‭to higher fusion rates in their hotter, denser cores. Blue stars are hotter and more‬
‭luminous, while red stars are cooler and dimmer. A star's color reflects its temperature,‬
‭with blue stars having shorter wavelengths (around 450 nanometers) and red stars‬
‭emitting longer wavelengths. The temperature of a star determines its peak wavelength‬
‭of radiation, described by Wien's Law.‬

‭More massive stars live shorter lives, burning through their fuel quickly. For example, a‬
‭blue star might live only 10 million years, while a red star could last up to a trillion years.‬
‭The Sun is considered average in size and temperature, with a color that peaks around‬
‭500 nanometers, making it appear white or yellowish to us.‬

‭On the HR diagram, stars like the Sun are near the middle of the main sequence. The‬
‭most massive known star, R136A1, is 256 times the mass of the Sun. Measuring a star’s‬
‭luminosity requires knowing its distance, as stars that are farther away appear dimmer.‬
‭The HR diagram helps astronomers understand a population of stars, including their age.‬
‭By identifying the "main sequence turnoff point"—where stars leave the main sequence‬
‭after exhausting their hydrogen fuel—we can determine the age of a star cluster. Stars at‬

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