Calculation of the "lightness number" for solar sails

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SUMMARY

The calculation of the "lightness number" for solar sails utilizes the characteristic acceleration (ac) divided by the Sun's local gravity at a distance of 1 Astronomical Unit (AU), specifically λ = ac / 0.0053 m/s². The value of 5.93 mm/s² represents the gravitational acceleration at 1 AU, contrasting with the surface gravity of 274 m/s², which is not applicable at this distance due to the inverse square law of gravitation. Understanding this distinction is crucial for accurate calculations in solar sail dynamics.

PREREQUISITES
  • Understanding of gravitational acceleration and its variations with distance
  • Familiarity with the concept of Astronomical Units (AU)
  • Basic knowledge of solar sail technology and its principles
  • Mathematical skills for performing unit conversions and calculations
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  • Research the principles of gravitational acceleration and the inverse square law
  • Study the mechanics of solar sails and their operational parameters
  • Explore the calculations involved in determining characteristic acceleration for various celestial bodies
  • Learn about the effects of distance on gravitational forces in astrophysics
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Astronomers, aerospace engineers, and enthusiasts interested in solar sail technology and gravitational physics will benefit from this discussion.

Val---
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Hello,
In the wikipedia article about solar sails the lightness number is mentioned and the calculation is the characteristic acceleration ac divided by the Sun´s local gravity (distance: 1AU): λ = ac / 5.93

why do they use 5,93 m/s^2 for the sun´s gravity and not 274 m/s^2?
 
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Val--- said:
why do they use 5,93 m/s^2 for the sun´s gravity and not 274 m/s^2?
They don't use 5.93 m/s^2, but 5.93 mm/s^2, or 0.0053 m/s^2. They do this, because that's the gravitational acceleration at the distance of 1 AU.
274 m/s^2 is the surface gravity, which falls with the square of the distance.
 
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