Light curve

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Light curve of the asteroid 201 Penelope based on images taken on 6 October 2006 at Mount John University Observatory. Shows just over one full rotation, which lasts 3.7474 hours. 201 Penelope light curve.png
Light curve of the asteroid 201 Penelope based on images taken on 6 October 2006 at Mount John University Observatory. Shows just over one full rotation, which lasts 3.7474 hours.

In astronomy, a light curve is a graph of the light intensity of a celestial object or region as a function of time, typically with the magnitude of light received on the y-axis and with time on the x-axis. The light is usually in a particular frequency interval or band.

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Light curves can be periodic, as in the case of eclipsing binaries, Cepheid variables, other periodic variables, and transiting extrasolar planets; or aperiodic, like the light curve of a nova, cataclysmic variable star, supernova, microlensing event, or binary as observed during occultation events. The study of the light curve, together with other observations, can yield considerable information about the physical process that produces it or constrain the physical theories about it.

Variable stars

Light curve of d Cephei showing magnitude versus pulsation phase Delta Cephei lightcurve.jpg
Light curve of δ Cephei showing magnitude versus pulsation phase

Graphs of the apparent magnitude of a variable star over time are commonly used to visualise and analyse their behaviour. Although the categorisation of variable star types is increasingly done from their spectral properties, the amplitudes, periods, and regularity of their brightness changes are still important factors. Some types such as Cepheids have extremely regular light curves with exactly the same period, amplitude, and shape in each cycle. Others such as Mira variables have somewhat less regular light curves with large amplitudes of several magnitudes, while the semiregular variables are less regular still and have smaller amplitudes. [1]

The shapes of variable star light curves give valuable information about the underlying physical processes producing the brightness changes. For eclipsing variables, the shape of the light curve indicates the degree of totality, the relative sizes of the stars, and their relative surface brightnesses. [2] It may also show the eccentricity of the orbit and distortions in the shape of the two stars. [3] For pulsating stars, the amplitude or period of the pulsations can be related to the luminosity of the star, and the light curve shape can be an indicator of the pulsation mode. [4]

Supernovae

Comparative supernova type light curves Comparative supernova type light curves.png
Comparative supernova type light curves

Light curves from supernovae can be indicative of the type of supernova. Although supernova types are defined on the basis of their spectra, each has typical light curve shapes. Type I supernovae have light curves with a sharp maximum and gradually decline, while Type II supernovae have less sharp maxima. Light curves are helpful for classification of faint supernovae and for the determination of sub-types. For example, the type II-P (for plateau) have similar spectra to the type II-L (linear) but are distinguished by a light curve where the decline flattens out for several weeks or months before resuming its fade. [5]

Planetary astronomy

In planetary science, a light curve can be used to derive the rotation period of a minor planet, moon, or comet nucleus. From the Earth there is often no way to resolve a small object in the Solar System, even in the most powerful of telescopes, since the apparent angular size of the object is smaller than one pixel in the detector. Thus, astronomers measure the amount of light produced by an object as a function of time (the light curve). The time separation of peaks in the light curve gives an estimate of the rotational period of the object. The difference between the maximum and minimum brightnesses (the amplitude of the light curve) can be due to the shape of the object, or to bright and dark areas on its surface. For example, an asymmetrical asteroid's light curve generally has more pronounced peaks, while a more spherical object's light curve will be flatter. [6] This allows astronomers to infer information about the shape and spin (but not size) of asteroids.

Asteroid lightcurve database

Light curve quality code

The Asteroid Lightcurve Database (LCDB) of the Collaborative Asteroid Lightcurve Link (CALL) uses a numeric code to assess the quality of a period solution for minor planet light curves (it does not necessarily assess the actual underlying data). Its quality code parameter U ranges from 0 (incorrect) to 3 (well-defined): [7]

  • U = 0 → Result later proven incorrect
  • U = 1 → Result based on fragmentary light curve(s), may be completely wrong.
  • U = 2 → Result based on less than full coverage. Period may be wrong by 30 percent or ambiguous.
  • U = 3 → Secure result within the precision given. No ambiguity.
  • U = n.a. → Not available. Incomplete or inconclusive result.

A trailing plus sign (+) or minus sign (−) is also used to indicate a slightly better or worse quality than the unsigned value. [7]

Occultation light curves

Light curve of the asteroid 1247 Dysona occulting 4UCAC 174-171272, showing instantaneous disappearance and reappearance. Duration is 6.48 seconds. LightCurve AsteroidOccultation.png
Light curve of the asteroid 1247 Dysona occulting 4UCAC 174-171272, showing instantaneous disappearance and reappearance. Duration is 6.48 seconds.

The occultation light curve is often characterised as binary, where the light from the star is terminated instantaneously, remains constant for the duration, and is reinstated instantaneously. The duration is equivalent to the length of a chord across the occulting body.

Circumstances where the transitions are not instantaneous are;

The observations are typically recorded using video equipment and the disappearance and reappearance timed using a GPS disciplined Video Time Inserter (VTI).

Occultation light curves are archived at the VizieR service. [9]

Exoplanet discovery

Periodic dips in a star's light curve graph could be due to an exoplanet passing in front of the star that it is orbiting. When an exoplanet passes in front of its star, light from that star is temporarily blocked, resulting in a dip in the star's light curve. These dips are periodic, as planets periodically orbit a star. Many exoplanets have been discovered via this method, which is known as the astronomical transit method.

Light curve inversion

Light curve inversion is a mathematical technique used to model the surfaces of rotating objects from their brightness variations. This can be used to effectively image starspots or asteroid surface albedos. [10] [11]

Microlensing

Microlensing is a process where relatively small and low-mass astronomical objects cause a brief small increase in the brightness of a more distant object. This is caused by the small relativistic effect as larger gravitational lenses, but allows the detection and analysis of otherwise-invisible stellar and planetary mass objects. The properties of these objects can be inferred from the shape of the lensing light curve. For example, PA-99-N2 is a microlensing event that may have been due to a star in the Andromeda Galaxy that has an exoplanet. [12]

Related Research Articles

<span class="mw-page-title-main">Supernova</span> Explosion of a star at its end of life

A supernova is a powerful and luminous explosion of a star. A supernova occurs during the last evolutionary stages of a massive star, or when a white dwarf is triggered into runaway nuclear fusion. The original object, called the progenitor, either collapses to a neutron star or black hole, or is completely destroyed to form a diffuse nebula. The peak optical luminosity of a supernova can be comparable to that of an entire galaxy before fading over several weeks or months.

<span class="mw-page-title-main">Variable star</span> Star whose brightness fluctuates, as seen from Earth

A variable star is a star whose brightness as seen from Earth changes with time. This variation may be caused by a change in emitted light or by something partly blocking the light, so variable stars are classified as either:

<span class="mw-page-title-main">Semiregular variable star</span> Type of variable star

In astronomy, a semiregular variable star, a type of variable star, is a giant or supergiant of intermediate and late (cooler) spectral type showing considerable periodicity in its light changes, accompanied or sometimes interrupted by various irregularities. Periods lie in the range from 20 to more than 2000 days, while the shapes of the light curves may be rather different and variable with each cycle. The amplitudes may be from several hundredths to several magnitudes.

<span class="mw-page-title-main">Long-period variable star</span> Cool luminous pulsating variable star

The descriptive term long-period variable star refers to various groups of cool luminous pulsating variable stars. It is frequently abbreviated to LPV.

<span class="mw-page-title-main">Gravitational microlensing</span> Astronomical phenomenon due to the gravitational lens effect

Gravitational microlensing is an astronomical phenomenon caused by the gravitational lens effect. It can be used to detect objects that range from the mass of a planet to the mass of a star, regardless of the light they emit. Typically, astronomers can only detect bright objects that emit much light (stars) or large objects that block background light. These objects make up only a minor portion of the mass of a galaxy. Microlensing allows the study of objects that emit little or no light.

<span class="mw-page-title-main">Eta Geminorum</span> Star in the constellation Gemini

Eta Geminorum, formally named Propus, is a triple star system in the constellation of Gemini. It is a naked-eye variable star around 380 light years from the Sun.

<span class="mw-page-title-main">Zeta Geminorum</span> Star in the constellation Gemini

Zeta Geminorum is a bright star with cluster components, distant optical components and a likely spectroscopic partner in the zodiac constellation of Gemini — in its south, on the left 'leg' of the twin Pollux. It is a classical Cepheid variable star, of which over 800 have been found in our galaxy. As such its regular pulsation and luminosity and its relative proximity means the star is a useful calibrator in computing the cosmic distance ladder. Based on parallax measurements, it is approximately 1,200 light-years from the Sun.

<span class="mw-page-title-main">28 Andromedae</span> Star in the constellation Andromeda

28 Andromedae is a Delta Scuti variable star in the constellation Andromeda. 28 Andromedae is the Flamsteed designation. It also bears the variable star name GN Andromedae. Its apparent magnitude is 5.214, varying by less than 0.1 magnitudes.

659 Nestor is a dark Jupiter trojan from the Greek camp, approximately 110 kilometers in diameter. It was discovered on 23 March 1908, by German astronomer Max Wolf at Heidelberg Observatory in southern Germany, and named after King Nestor from Greek mythology. The carbonaceous Jovian asteroid belongs to the 20 largest Jupiter trojans and has a rotation period of 15.98 hours.

<span class="mw-page-title-main">849 Ara</span>

849 Ara is a large, metallic background asteroid, approximately 80 kilometers in diameter, that is located in the outer region of the asteroid belt. It was discovered on 9 February 1912, by Russian astronomer Sergey Belyavsky at the Simeiz Observatory on the Crimean peninsula. The M-type asteroid has a short rotation period of 4.1 hours and is likely elongated in shape. It was named after the American Relief Administration (ARA) for the help given during the Russian famine of 1921–22.

925 Alphonsina, provisional designation 1920 GM, is a stony Hansian asteroid from the central region of the asteroid belt, approximately 58 kilometers in diameter. It was discovered on 13 January 1920, by Catalan astronomer Josep Comas i Solà at the Fabra Observatory in Barcelona, Spain. The S-type asteroid has a rotation period of 7.88 hours. It was named for the Spanish Kings Alfonso X and Alfonso XIII.

<span class="mw-page-title-main">Outline of astronomy</span>

The following outline is provided as an overview of and topical guide to astronomy:

<span class="mw-page-title-main">119 Tauri</span> Star in the constellation Taurus

119 Tauri is a red supergiant star in the constellation Taurus. It is a semiregular variable and its angular diameter has been measured at about 10 mas. It is a similar star to Betelgeuse although redder and more distant.

<span class="mw-page-title-main">1263 Varsavia</span> Asteroid

1263 Varsavia, provisional designation 1933 FF, is an asteroid from the central region of the asteroid belt, approximately 40 kilometers in diameter. It was discovered on 23 March 1933, by Belgian astronomer Sylvain Arend at Uccle Observatory in Belgium. It is named for the city of Warsaw.

<span class="mw-page-title-main">3 Vulpeculae</span> Star in the constellation Vulpecula

3 Vulpeculae is a binary star system in the northern constellation of Vulpecula, located around 360 light years away from the Sun. 3 Vulpeculae is its Flamsteed designation. It is visible to the naked eye as a faint, blue-white hued star with a baseline apparent visual magnitude of 5.18.

<span class="mw-page-title-main">Delta Delphini</span> Star in the constellation Delphinus

Delta Delphini, Latinized from δ Delphini, is a binary star in the northern constellation of Delphinus. It is visible to the naked eye with an apparent visual magnitude of 4.43. Based upon an annual parallax shift of 14.61 mas as seen from the Earth, the system is located about 223 light years from the Sun.

<span class="mw-page-title-main">Stellar pulsation</span>

Stellar pulsations are caused by expansions and contractions in the outer layers as a star seeks to maintain equilibrium. These fluctuations in stellar radius cause corresponding changes in the luminosity of the star. Astronomers are able to deduce this mechanism by measuring the spectrum and observing the Doppler effect. Many intrinsic variable stars that pulsate with large amplitudes, such as the classical Cepheids, RR Lyrae stars and large-amplitude Delta Scuti stars show regular light curves.

<span class="mw-page-title-main">Classical Cepheid variable</span>

Classical Cepheids are a type of Cepheid variable star. They are young, population I variable stars that exhibit regular radial pulsations with periods of a few days to a few weeks and visual amplitudes ranging from a few tenths of a magnitude up to about 2 magnitudes. Classical Cepheids are also known as Population I Cepheids, Type I Cepheids, and Delta Cepheid variables.

<span class="mw-page-title-main">Time-domain astronomy</span> Study of how astronomical objects change with time

Time-domain astronomy is the study of how astronomical objects change with time. Though the study may be said to begin with Galileo's Letters on Sunspots, the term now refers especially to variable objects beyond the Solar System. Changes over time may be due to movements or changes in the object itself. Common targets included are supernovae, pulsating stars, novas, flare stars, blazars and active galactic nuclei. Visible light time domain studies include OGLE, HAT-South, PanSTARRS, SkyMapper, ASAS, WASP, CRTS, GOTO and in a near future the LSST at the Vera C. Rubin Observatory.

<span class="mw-page-title-main">RU Camelopardalis</span> Star in the constellation Camelopardalis

RU Camelopardalis, or RU Cam, is a W Virginis variable in the constellation of Camelopardalis. It is also a Carbon star, which is very unusual for a Cepheid variable.

References

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  2. Russell, Henry Norris (1912). "On the Determination of the Orbital Elements of Eclipsing Variable Stars. I". Astrophysical Journal. 35: 315. Bibcode:1912ApJ....35..315R. doi: 10.1086/141942 .
  3. Kron, Gerald E. (1952). "A Photoelectric Study of the Dwarf M Eclipsing Variable YY Geminorum". Astrophysical Journal. 115: 301. Bibcode:1952ApJ...115..301K. doi:10.1086/145541.
  4. Wood, P. R.; Sebo, K. M. (1996). "On the pulsation mode of Mira variables: Evidence from the Large Magellanic Cloud". Monthly Notices of the Royal Astronomical Society. 282 (3): 958. Bibcode:1996MNRAS.282..958W. doi:10.1093/mnras/282.3.958.
  5. "Supernova". Georgia State University – Hyperphysics – Carl Rod Nave. 1998.
  6. Harris, A. W.; Warner, B. D.; Pravec, P. (2016). "Asteroid Lightcurve Derived Data V16.0". NASA Planetary Data System. 246: EAR-A-5-DDR-DERIVED-LIGHTCURVE-V16.0. Bibcode:2016PDSS..246.....H.
  7. 1 2 "Asteroid Lightcurve Data Base (LCDB) – 4.1.2 U (QUALITY) CODE". Collaborative Asteroid Lightcurve Link. 30 October 2011. Archived from the original on 16 November 2015. Retrieved 16 March 2016.
  8. Sicardy, B.; Brahic, A.; Ferrari, C.; Gautiert, D.; Lecacheux, J.; Lellouch, E.; Reques, F.; Arlot, J. E.; Colas, F. (1990-01-25). "Probing Titan's atmosphere by stellar occultation". Nature. 343 (6256): 350–353. Bibcode:1990Natur.343..350S. doi:10.1038/343350a0. ISSN   0028-0836. S2CID   4330667.
  9. Dave, Herald; Derek, Breit; David, Dunham; Eric, Frappa; Dave, Gault; Tony, George; Tsutomu, Hayamizu; Brian, Loader; Jan, Manek (2016). "VizieR Online Data Catalog: Occultation lights curves (Herald+ 2016)". VizieR On-line Data Catalog. 1. Bibcode:2016yCat....102033H.
  10. Harmon, Robert O.; Crews, Lionel J. (2000). "Imaging Stellar Surfaces via Matrix Light-Curve Inversion". The Astronomical Journal. 120 (6): 3274. Bibcode:2000AJ....120.3274H. doi: 10.1086/316882 .
  11. Roettenbacher, Rachael M.; Monnier, John D.; Harmon, Robert O.; Barclay, Thomas; Still, Martin (2013). "Imaging Starspot Evolution on Kepler Target KIC 5110407 Using Light-Curve Inversion". The Astrophysical Journal. 767 (1): 60. arXiv: 1302.6268 . Bibcode:2013ApJ...767...60R. doi:10.1088/0004-637X/767/1/60. S2CID   119221231.
  12. Haugan, S. V. H. (1996). "Separating Intrinsic and Microlensing Variability Using Parallax Measurements". In Kochanek, C.S.; Hewitt, Jacqueline (eds.). Astrophysical Applications of Gravitational Lensing. Symposium of the International Astronomical Union. Vol. 173. Melbourne; Australia: Kluwer Academic Publishers. p. 277. arXiv: astro-ph/9508112 . Bibcode:1996IAUS..173..277H.