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Apr 20, 2025

How to measure nearby galaxies

3Blue1Brown - How to measure nearby galaxies

The discussion focuses on how astronomers determine the distance to nearby galaxies by observing Cepheid variable stars. These stars are exceptionally bright, thousands of times more luminous than the sun, and can be found both in our galaxy and others. Despite being surrounded by billions of other stars, their brightness can still be measured. Cepheid stars are unique because their brightness oscillates over a regular period, such as every 10 or 20 days. The period of oscillation correlates with their intrinsic brightness, allowing astronomers to calculate their true luminosity. By comparing this intrinsic brightness with how bright the star appears from Earth, astronomers can determine the distance to the star and, consequently, the galaxy it resides in. This method has enabled the measurement of distances to thousands of galaxies, although it still covers only a small fraction of the universe.

Key Points:

  • Cepheid variable stars are used to measure cosmic distances due to their predictable brightness oscillations.
  • These stars are thousands of times brighter than the sun, making them visible even in distant galaxies.
  • The period of a Cepheid's brightness oscillation correlates with its intrinsic brightness, allowing distance calculations.
  • By comparing intrinsic and observed brightness, astronomers can determine the distance to the star and its galaxy.
  • This method has allowed measurement of distances to thousands of galaxies, though it covers only a small part of the universe.

Details:

1. 🎤 Interview with Terren Tao

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2. 🌌 Measuring Cosmic Distances

  • To accurately measure cosmic distances, astronomers employ methods such as parallax, standard candles, and redshift measurement.
  • Parallax allows measurement of distances up to a few thousand light-years, utilizing Earth's orbit as a baseline for triangulation.
  • Standard candles, like Cepheid variables and Type Ia supernovae, help determine distances to galaxies millions of light-years away.
  • Redshift measurement is used for galaxies billions of light-years distant, leveraging the universe's expansion.
  • These methods combined allow for a comprehensive mapping of the universe at various scales.

3. 🌠 Determining Galaxy Distances

  • One primary method involves observing Cepheid variable stars, whose luminosity-period relationship allows for precise distance calculations. Edwin Hubble famously used this method to determine the distance to the Andromeda Galaxy, revolutionizing our understanding of the universe's scale.
  • Type Ia supernovae serve as reliable standard candles due to their consistent peak brightness, enabling astronomers to measure distances across vast cosmic scales. This method was instrumental in discovering the accelerated expansion of the universe.
  • Redshift measurements, related to the Doppler effect, provide distance information based on the velocity of galaxies moving away from Earth. This technique is foundational for understanding the universe's large-scale structure.
  • These methods are often used in conjunction to improve accuracy and cross-verify results, offering a comprehensive toolkit for astronomers to explore the cosmos.

4. ✨ Challenges of Star Brightness

  • The vast number of stars in dense sky areas makes individual brightness measurement difficult, often requiring advanced technological methods.
  • To measure brightness, astronomers use tools like photometry to quantify the light intensity from stars, even when crowded by others.
  • Spectroscopy is employed to understand the composition and brightness of stars, helping to differentiate exceptionally bright stars from the rest.
  • Despite the challenges, certain stars are so bright they are easily measurable, providing benchmarks for calibrating astronomical instruments.
  • Innovations in telescopes and imaging techniques have improved the ability to measure star brightness accurately, despite high star density.

5. 🌟 The Importance of Sephiid Stars

  • Sephiid super giant stars are thousands of times brighter than the sun, highlighting their significance in astronomical studies.
  • These stars exist both within our own galaxy and in other galaxies, offering a broad scope for exploration and understanding of the universe.
  • They play a crucial role in measuring cosmic distances, serving as 'standard candles' in astronomy.
  • Sephiid stars contribute to understanding the universe's expansion by providing data that informs models of cosmic growth and movement.

6. 🔭 Observing Variable Stars

  • Variable stars, specifically Cepheid variables, have oscillating brightness, differing from most stars that maintain constant intensity.
  • The brightness of Cepheid stars oscillates with a periodic intensity cycle, typically ranging from every 10 to 20 days.
  • A direct relationship exists between the size of a Cepheid star and its brightness, with larger Cepheids being brighter and having longer oscillation periods.
  • Observations of Cepheid variables are conducted using telescopes equipped with photometers to measure their brightness over time, enabling astronomers to determine their period-luminosity relation.
  • Cepheid variables are crucial in astronomy for measuring cosmic distances, as their luminosity allows for precise distance calculations across galaxies.

7. 🔍 Using Sephiid Stars for Distance

  • Sephiid stars enable astronomers to measure galaxy distances by calculating their period and intensity, which helps determine intrinsic brightness.
  • By comparing intrinsic brightness to observed brightness, astronomers can accurately gauge a galaxy's distance, making it a crucial tool in the cosmic distance ladder.
  • This method is applicable to thousands of galaxies, offering a significant range for cosmic measurements.
  • However, it's limited to a small fraction of all galaxies, highlighting the need for complementary methods for broader applications.

8. 🌌 The Universe's Vastness

  • The universe is estimated to be around 93 billion light-years in diameter, highlighting the immense scale of space that challenges our comprehension and exploration capabilities.
  • Our galaxy, the Milky Way, contains over 100 billion stars, emphasizing the vast number of potential solar systems and the possibility of extraterrestrial life.
  • The observable universe has more than 2 trillion galaxies, illustrating the vastness and diversity of cosmic structures that scientists aim to understand.
  • The immense scale of the universe influences scientific research, demanding advanced technology and methodologies for exploration and understanding.
  • The vastness impacts our understanding of space and time, challenging existing theories and inspiring new ones.
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