On a logarithmic scale for luminosity, it is quite close to a negative linear relationship.
The scatter plot of the relationship between a star's temperature and luminosity is represented by the Hertzsprung-Russell diagram. In a standard H-R diagram the horizontal axis shows the [surface] temperature, increasing from right to left, while the vertical axis shows luminosity increasing from bottom to top. When both axis are on a logarithmic scale, the main sequence stars from a diagonal belt stretching from top right (very hot and very luminous) to bottom left (not so hot and not so luminous).
A star with a surface temperature of approximately 9000 K and a luminosity between 1 to 20 times that of the Sun is likely a type A main-sequence star. These stars are known for their blue-white color and burn hydrogen in their cores. An example of such a star is Alpha Centauri A, which exhibits characteristics consistent with this temperature and luminosity range.
On such a diagram, those stars lie on a curve called the "main sequence". It is not a simple relationship - for example, it isn't a straight line on the diagram. Therefore, it isn't easy to describe in words. It's best if you look up "Main sequence", for example on the Wikipedia, and look at the corresponding diagram.
About 90 percent of stars are classified as main sequence stars, which are stable, fusing hydrogen into helium in their cores. These stars follow a distinct relationship between their luminosity and temperature, known as the Hertzsprung-Russell diagram. Main sequence stars include our Sun and have a lifespan ranging from millions to billions of years.
A star's luminosity class provides information about its size and brightness compared to other stars of the same spectral type. It can indicate whether a star is a main sequence star, giant star, or supergiant star. Luminosity class is used in the Hertzsprung-Russell diagram to classify stars based on their evolutionary stage.
as surface temperature increases, luminosity increases
Main sequence stars best obey the mass-luminosity relation. This empirical relation states that there is a direct relationship between a star's mass and its luminosity. In general, the more massive a main sequence star is, the more luminous it will be.
The relationship between luminosity and temperature for stars on the main sequence is described by the Hertzsprung-Russell (H-R) diagram, where more luminous stars are typically hotter. This relationship is generally expressed by the Stefan-Boltzmann law, which states that a star's luminosity is proportional to the fourth power of its temperature (L ∝ T⁴). Consequently, as the temperature of a main sequence star increases, its luminosity also increases significantly, resulting in a clear trend where hotter stars are brighter.
The relationship between luminosity and temperature for main sequence stars is described by the Hertzsprung-Russell diagram, where luminosity increases with temperature. This correlation follows a power law, specifically L ∝ T^4, meaning that if a star's temperature increases, its luminosity increases dramatically. Consequently, hotter main sequence stars, like O and B types, are much more luminous than cooler stars, such as K and M types. This relationship arises from the processes of nuclear fusion occurring in the star's core, which depend on temperature and pressure.
The relationship between luminosity and temperature for stars on the main sequence is described by the Hertzsprung-Russell diagram, where more luminous stars tend to have higher temperatures. This correlation is largely due to the processes of nuclear fusion occurring in the star's core; as temperature increases, the rate of fusion rises, leading to greater energy output and, consequently, increased luminosity. Specifically, this relationship can be approximated by the Stefan-Boltzmann Law, which states that luminosity increases with the fourth power of the star's temperature. Thus, main sequence stars exhibit a clear trend where hotter stars are generally more luminous.
No. Main sequence stars are simply stars that are fusing hydrogen into helium and have a specific relationship between color and luminosity. They range from red dwarfs to large O-type main sequence stars.
The scatter plot of the relationship between a star's temperature and luminosity is represented by the Hertzsprung-Russell diagram. In a standard H-R diagram the horizontal axis shows the [surface] temperature, increasing from right to left, while the vertical axis shows luminosity increasing from bottom to top. When both axis are on a logarithmic scale, the main sequence stars from a diagonal belt stretching from top right (very hot and very luminous) to bottom left (not so hot and not so luminous).
A star with a surface temperature of approximately 9000 K and a luminosity between 1 to 20 times that of the Sun is likely a type A main-sequence star. These stars are known for their blue-white color and burn hydrogen in their cores. An example of such a star is Alpha Centauri A, which exhibits characteristics consistent with this temperature and luminosity range.
The main sequence on the Hertzsprung-Russell diagram represents the stage in a star's life when it is undergoing nuclear fusion of hydrogen into helium in its core. Stars spend the majority of their lifetime on the main sequence, where they maintain a stable balance between inward gravitational pressure and outward radiation pressure. The main sequence runs diagonally from high temperature, high luminosity stars (top left) to lower temperature, lower luminosity stars (bottom right).
The star that is hotter will have a higher luminosity.
The location on the Hertzsprung-Russell (HR) diagram where most stars lie is known as the main sequence. The HR diagram is a plot of stellar luminosity against surface temperature. The main sequence is a prominent band that extends diagonally across the HR diagram from high temperature and high luminosity to low temperature and low luminosity. The majority of stars, approximately 90% of all stars, are situated along the main sequence on the HR diagram. These stars are often referred to as main-sequence stars. They exhibit a smooth relationship between surface temperature and luminosity, with varying sizes and masses but sharing this common characteristic of lying on the diagonal band from the upper left to the lower right of the HR diagram. Source: Teach Astronomy - The Hertzsprung-Russell Diagram
The star that is hotter will have a higher luminosity.