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Galaxy rotation curve

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A galaxy rotation curve is a graphical representation of orbital speeds. It plots the velocity of visible stars or gas against their radial distance from the galaxy's center. These curves are vital tools for understanding mass distribution in the universe. Because data from each side of a spiral galaxy is often asymmetric, astronomers average the data from both sides to create a single curve.

Rotation Curve UGC11455
Rotation Curve UGC11455

This measurement helps reveal whether the visible matter we see is enough to explain the gravity acting on a galaxy.

In a typical solar system, orbital speeds follow Kepler's third law. This rule suggests that objects further from the center should move more slowly. This happens because most of the mass is concentrated at the center. We expected galaxies to behave in a similar way. We thought stars at the outer edges would show decreasing velocities as they moved further from the bright galactic bulge. However, observations show that rotation curves are often "flat." This means stars far from the center move at nearly the same speed as those closer in.

History shows a long journey to understand these motions. Vesto Slipher made the first related measurements in 1914 while observing the Andromeda galaxy. He noticed stars on one side moved at 320 km/s while the other side moved at 280 km/s. In 1918, Francis Pease determined the central rotation speed of Andromeda. By 1932, Jan Hendrik Oort reported that stars in our solar neighborhood moved faster than expected. Though his specific measurement was later found to be erroneous, it pointed toward a larger mystery. In 1939, Horace Babcock suggested the mass-to-luminosity ratio increased radially. He thought this might be due to light absorption or modified dynamics rather than missing matter.

Modern understanding grew through better technology. In 1957, Henk van de Hulst used a 25-meter radio telescope to publish an extended rotation curve of M31. His colleague Maarten Schmidt showed this curve could fit a mass distribution more extensive than the visible light. In 1959, Louise Volders used the same telescope to show that M33 also defied Keplerian dynamics. Jan Oort later noted that in the galaxy NGC 3115, the mass-to-light ratio in the outer parts was about 250. He suggested the luminous system was embedded in a large, dense mass.

Comparison of rotating disc galaxies in the distant Universe and the present day
Comparison of rotating disc galaxies in the distant Universe and the present day

Vera Rubin provided the most influential evidence in the late 1960s and early 1970s. Working with Kent Ford, she used a sensitive spectrograph to measure the velocity curves of edge-on spiral galaxies. At a 1975 meeting, they announced that most stars in spiral galaxies orbit at roughly the same speed. This implied that galaxy mass grows approximately linearly with radius. Rubin's 1980 paper suggested that upwards of 50% of a galaxy's mass might be in a dark galactic halo.

Rotation curve Milky Way
Rotation curve Milky Way

The most widely accepted explanation for this is dark matter. This is unobservable matter that does not emit light but provides extra gravity. Dark matter is a major feature of the Lambda-CDM model of cosmology. Other evidence for dark matter includes X-ray observations of hot gas in clusters and gravitational lensing. An alternative theory is Modified Newtonian Dynamics, or MOND. MOND suggests that we might need to change our laws of gravitation to explain these speeds.

Rotation Curve UGC11455
Rotation Curve UGC11455

Scientists also study how mass is distributed through density profiles. To keep a rotation curve flat, the density cannot be too centrally concentrated. The Navarro-Frenk-White profile is a model used to describe these dark matter halos. It uses parameters like central density and a scale radius to fit observations. However, some observations of low-surface-brightness galaxies show a "cuspy halo problem." This means the observed density in the core of some galaxies does not match the predicted profiles. This remains a persistent challenge for current models of how the universe is structured.

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🖼️ Images & Media (4)
File:Rotation_Curve_UGC11455.svg
Rotation_Curve_UGC11455.svg
Galaxy rotation under the influence of...
File:Rotation curve Milky Way.svg
Rotation curve Milky Way.svg
File:Comparison of rotating disc galaxies in the distant Universe and the present day.jpg
Comparison of rotating disc galaxies in...
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