
The distance between galaxies is typically measured in megaparsecs. A standard candle is an object with known luminosity, and by comparing its known luminosity to its observed brightness, its distance can be computed using the inverse-square law. This technique is foundational to the cosmic distance ladder, a series of techniques used by astronomers to measure distances in the universe. The standard candle technique is used to measure the distances to far-away galaxies and has been extremely useful for building our understanding of the evolution of the universe.
| Characteristics | Values |
|---|---|
| Definition | Standard candles are objects with known intrinsic luminosities. |
| Usage | Standard candles are used to measure distances in the universe, especially in galaxies. |
| Technique | The known luminosity of the standard candle is compared to its observed brightness to compute the distance to the object using the inverse-square law. |
| Examples | Standard candles include Cepheid Variables, planetary nebulae, Type Ia supernovae, carbon stars, and gravitationally lensed quasars. |
| Drawbacks | Determining the luminosity of standard candles is challenging. They are also infrequent, and their "standardness" or homogeneity in absolute magnitude is uncertain. |
| Alternatives | Techniques like Very Long Baseline Interferometry (VLBI) and measuring radial velocities using the Hubble Law can be used to determine cosmic distances without relying solely on standard candles. |
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What You'll Learn

Parallax
The parallax method is only effective for measuring the distances of nearby stars. However, space telescopes like Gaia have significantly expanded its effectiveness. It remains the most direct and reliable method for measuring stellar distances, forming the basis for calibrating more indirect methods to measure distances to galaxies and beyond.
By measuring the distances to a number of nearby stars, astronomers have been able to establish relationships between a star’s colour and its intrinsic brightness, the brightness it would appear to have if viewed from a standard distance. These stars then become what astronomers call "standard candles". By comparing the colour and spectrum of stars to the "standard candles", astronomers can determine the star's intrinsic brightness.
Another application of parallax is the reproduction and display of 3D images. The key is to capture 2D images of the subject from two slightly different angles, similar to the way human eyes do, and present them in such a way that each eye sees only one of the two images.
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Supernovae
Type Ia supernovae are excellent standard candles. They are remarkably similar in brightness, given that they are the massive thermonuclear explosions of white dwarf stars, which pack roughly the mass of our sun into a ball the size of Earth. Type Ia supernovae are all about the same luminosity: L = 4 billion Lsun. They are 100,000 times more luminous than even the brightest Cepheid stars and can be seen at distances of thousands of megaparsecs.
The standardisation of Type Ia supernovae is achieved by comparing their light curves and spectra. The brightness of different Type Ia supernovae can be standardised to within about 10 percent, yielding accurate gauges for measuring cosmic distances. The standardisation assumes that the light curve width is determined primarily or exclusively by the nickel-56 mass. However, recent results from the SNFactory team indicate that there must also be a deep connection with the ejected mass or between the ejected mass and the amount of nickel-56 created in a particular supernova.
The process of measuring the distance to a supernova involves measuring the apparent brightness of two standard candles: one near, one far. The distance to the nearer standard candle is computed using parallax. Then, the luminosity of the nearer candle is computed using the formula L = 4 pi d2 b. It is assumed that the farther standard candle has the same luminosity as the nearer one. Finally, the distance to the farther standard candle is computed using the formula d2 = L / (4 pi b).
NASA's upcoming Nancy Grace Roman Space Telescope will observe thousands of exploding stars called supernovae across vast stretches of time and space. Astronomers will use the observations to understand the nature of dark energy, the unexplained cosmic pressure that is speeding up the expansion of the universe.
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Gravitational waves
The cosmic distance ladder is a series of methods used by astronomers to determine the distances to celestial objects. Direct distance measurement of an astronomical object is only possible for those objects that are \"close enough\" (within about a thousand parsecs or 3e16 km) to Earth. The techniques for determining distances to more distant objects are based on measured correlations between methods that work at close distances and those that work at larger distances. Several methods rely on a standard candle, an astronomical object with a known luminosity.
The measurement of gravitational waves involves detecting the waves using a network of detectors at different locations. By measuring the polarisation of the wave, the angle of emission can be determined. The anisotropic antenna patterns of gravitational wave detectors also require the relative position of the source to be known to calculate the angle of reception. With measurements from three detectors, enough information can be gathered to determine the distance to the source.
Standard sirens, as self-calibrating events, offer a more precise method for measuring distances in cosmology compared to standard candles. This is because standard candles are subject to uncertainties in determining their luminosity and homogeneity. Additionally, standard candles may be affected by intervening absorbing media and gravitational lensing, which can introduce errors in distance measurements. Gravitational waves, on the other hand, are not subject to extinction due to absorption and do not require calibration against other distance measures.
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Doppler shift
The Doppler shift is a key component of Hubble's Law, which states that the redshift of a galaxy is proportional to its distance. The redshift of a galaxy is a shift in the frequency of light emitted by the galaxy, which can be measured by determining the wavelength of a known transition and finding the fractional shift compared to a stationary reference. This shift is caused by the Doppler effect, which occurs when there is a relative velocity between the source of light and an observer. If the light source is moving toward the observer, the observed frequency increases, and if it is moving away, the observed frequency decreases.
The Doppler shift is used to find the radial speed of a galaxy, which is the speed at which the galaxy is moving towards or away from an observer. The radial speed can be calculated using the formula v = cz, where v is the radial speed of the galaxy, c is the speed of light, and z is the fractional change in the wavelength of light. By measuring the Doppler shift of stars in a galaxy, astronomers can determine if the galaxy is moving towards or away from them and estimate its radial speed.
The Doppler shift is particularly useful for measuring the distances to far-away galaxies. In 1912, Vesto M. Slipher measured the first Doppler shift of a "spiral nebula" (now known as spiral galaxies) and discovered that almost all such objects were receding from Earth. This provided early evidence for the expansion of the universe, which was later confirmed by Edwin Hubble in 1929 through his observations of Cepheid variable stars as "standard candles".
Standard candles are objects of known brightness, and by comparing their known luminosity to their observed brightness, the distance to the object can be computed using the inverse-square law. Cepheid variable stars and Type Ia supernovae are considered excellent standard candles due to their high luminosity and relative homogeneity in true absolute magnitude.
By combining the use of standard candles and measuring the Doppler shift, astronomers can more accurately determine the distances to celestial objects, especially those that are far away.
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Cepheid variables
Standard candles are objects of known brightness used to measure distances in space. One method of measuring cosmic distances utilizes Cepheid variables, a type of variable star that pulsates radially, varying in both diameter and temperature. Cepheid variables change in brightness with a well-defined stable period (typically 1-100 days) and amplitude. The term Cepheid originates from the star Delta Cephei in the constellation Cepheus.
The period-luminosity relationship of classical Cepheids has been used to establish the distance of remote stellar systems. The absolute magnitude of a classical Cepheid can be estimated from its period, and the distance of the star can then be calculated by comparing its absolute and apparent magnitudes. This method of using Cepheid variables to determine the distance to a galaxy involves first locating the Cepheid variables in the galaxy and determining the period of each star. Leavitt's data states that each period corresponds to a unique brightness. By measuring the brightness on Earth and comparing it to the brightness at the distance of one light-year, the distance to the stars can be extracted. This technique is effective up to distances of 13 million light-years when using Earth-based telescopes.
Space-based telescopes, such as the Hubble Telescope, have extended the range of this method, allowing astronomers to observe Cepheid variables in galaxies beyond the reach of Earth-based telescopes. For example, the distance to a galaxy in the Virgo cluster, M100, was determined to be 56 million light-years using Cepheid variables. While Cepheid variables are useful for measuring distances to nearby galaxies, they have limitations. Beyond a certain distance, Cepheid variables become too dim to be observed, and other techniques, such as measuring the Doppler shift of stars or using Type Ia supernovae as standard candles, may be employed.
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Frequently asked questions
Standard candles are objects with known intrinsic luminosities. By comparing the known luminosity to an object's observed brightness, the distance to the object can be computed using the inverse-square law.
The distance of a galaxy can be found if the galaxy contains a standard candle. The known luminosity, combined with the measured apparent brightness of the object, gives us the distance.
Examples of standard candles include Type Ia supernovae, Cepheid variables, planetary nebulae, gravitationally lensed quasars, and carbon stars.










































