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Solar radius

Unit of measurement

Solar radius

Summary

Unit of measurement

1 =Units
metres
695,700kilometres
0.00465047astronomical unit
432,288miles
light-year
parsec
2.32061light-seconds

A solar radius is a unit of distance, commonly understood as 695,700 km and expressed as R_{\odot}, used mostly to express the size of an astronomical objects relative to that of the Sun, or their distance from it. This length is also called the nominal solar radius. The sun's actual radius, from which the unit of measurement is derived, is usually calculated as the radius from the sun's center out to the layer in the Sun's photosphere where the optical depth equals 2/3. One solar radius can be described as follows:1,R_{\odot} = 6.957\times 10^8 \hbox{ m} This is an approximation: both because such distance is difficult to measure and can be measured in various ways, and because the sun is not a perfectly spherical object itself, and thus the actual radius varies depending on the point(s) measured and modality of measurement employed.

695,700 km is approximately 10 times the average radius of Jupiter; 109 times the 6378 km radius of the Earth at its equator; and {1 \over 215} or 0.0047 of an astronomical unit, the approximate average distance between Earth and the Sun. The solar radius to the sun's poles and that to the equator differ slightly due to the Sun's rotation, which induces an oblateness in the order of 10 parts per million.

The solar diameter is double the solar radius.

Measurements

url=https://www.cambridge.org/core/services/aop-cambridge-core/content/view/293C0314C44A1A4AAF8175A3C288B50B/S1743921309992298a.pdf/sun_and_stars_as_the_primary_energy_input_in_planetary_atmospheres.pdf }}</ref>

The uncrewed SOHO spacecraft was used to measure the radius of the Sun by timing transits of Mercury across the surface during 2003 and 2006. The result was a measured radius of 696342 ±.

Haberreiter, Schmutz & Kosovichev (2008) determined the radius corresponding to the solar photosphere to be 695660 ±. This new value is consistent with helioseismic estimates; the same study showed that previous estimates using inflection point methods had been overestimated by approximately 300 km.

Nominal solar radius

In 2015, the International Astronomical Union passed Resolution B3, which defined a set of nominal conversion constants for stellar and planetary astronomy. Resolution B3 defined the nominal solar radius (symbol R^{N}_{\odot}) to be equal to exactly . The nominal value, which is the rounded value, within the 140 km uncertainty band given by Haberreiter, Schmutz & Kosovichev (2008), was adopted to help astronomers avoid confusion when quoting stellar radii in units of the Sun's radius, even when future observations will likely refine the Sun's actual photospheric radius (which is currently only known to about an accuracy of ±).

Examples

Solar radii as units of distance measurement are common especially when describing the paths of spacecraft moving close to the sun. Two such spacecraft in the 2010s include:

  • Solar Orbiter (which flew as close as to the sun)
  • Parker Solar Probe (which flew as close as to the sun)
NameRadius (Solar radius)Radius (kilometers)
Milky Way
WOH G64 A1,540
UY Scuti909
Betelgeuse764
Antares A680
Rigel A74.1
Aldebaran45.1
Arcturus25.4
Pollux9.06
Sirius A1.711
Sun1
Proxima Centauri0.1542
Jupiter0.1028
Saturn0.0866
Uranus0.03673
Neptune0.03559
Earth0.009168
Venus0.00869
Mars0.00488
Mercury0.0035
Moon0.0025
Pluto0.0017

References

References

  1. "NASA RHESSI oblateness measurements 2012".
  2. Ribas, Ignasi. (August 2009). "The Sun and Stars as the Primary Energy Input in Planetary Atmospheres". Proceedings of the International Astronomical Union.
  3. (2012). "Measuring the Solar Radius from Space during the 2003 and 2006 Mercury Transits". The Astrophysical Journal.
  4. (2008). "Solving the Discrepancy between the Seismic and Photospheric Solar Radius". Astrophysical Journal.
  5. (2015). "IAU 2015 Resolution B3 on Recommended Nominal Conversion Constants for Selected Solar and Planetary Properties".
  6. (2018). "Solar radius determined from PICARD/SODISM observationsand extremely weak wavelength dependence in the visibleand the near-infrared". Astronomy & Astrophysics.
  7. (1998-08-01). "The relative size of the Milky Way". The Observatory.
  8. (2009-06-01). "The Physical Properties of the Red Supergiant WOH G64: The Largest Star Known?". The Astronomical Journal.
  9. (2024-03-23). "Red Supergiant Candidates for Multimessenger Monitoring of the Next Galactic Supernova". Monthly Notices of the Royal Astronomical Society.
  10. (2020-10-01). "Standing on the Shoulders of Giants: New Mass and Distance Estimates for Betelgeuse through Combined Evolutionary, Asteroseismic, and Hydrodynamic Simulations with MESA". The Astrophysical Journal.
  11. (2013-07-01). "High spectral resolution imaging of the dynamical atmosphere of the red supergiant Antares in the CO first overtone lines with VLTI/AMBER". Astronomy and Astrophysics.
  12. (2018-01-01). "Fundamental Parameters of 87 Stars from the Navy Precision Optical Interferometer". The Astronomical Journal.
  13. (2015-08-01). "Long-lived, long-period radial velocity variations in Aldebaran: A planetary companion and stellar activity". Astronomy and Astrophysics.
  14. (2011-12-01). "Fundamental Parameters and Chemical Composition of Arcturus". The Astrophysical Journal.
  15. (2017-12-21). "Fundamental Parameters of 87 Stars from the Navy Precision Optical Interferometer". The Astronomical Journal.
  16. (2005-09-01). "The Age and Progenitor Mass of Sirius B". The Astrophysical Journal.
  17. (February 2017). "Proxima's orbit around Alpha Centauri". Astronomy & Astrophysics.
  18. "Planetary Physical Parameters".
  19. "Moon Fact Sheet".
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