Find Force from Flux: Solar Sail at 3 AU

In summary: W)/(299792458 m/s) = 4.54 x 10^-3 N/m^2In summary, the flux on a solar sail per square meter when orbiting the Sun at 3 AU is 0.15 KW/square meter. This can be related to the force by using the equation "Force per square meter = Pressure" and the concept of radiation pressure, which is equal to the flux divided by the speed of light. Therefore, the force per square meter at this distance would be approximately 4.54 x 10^-3 N/m^2.
  • #1
ma18
93
1

Homework Statement



What is the flux on a solar sail per square meter, if it orbits the Sun at 3 AU. Flux at 1 AU is 1.36 KW/square meter


Homework Equations



Flux goes as 1/r^2

The Attempt at a Solution



Flux at 3 AU will be 1.36/3^2 = 1.36/9 = 0.15 KW/square meter

I can't figure out how to relate this to the force though?

Any help would be appreciated.

*This is practise for a test not an assignment queston
 
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  • #2
ma18 said:

Homework Statement



What is the flux on a solar sail per square meter, if it orbits the Sun at 3 AU. Flux at 1 AU is 1.36 KW/square meter


Homework Equations



Flux goes as 1/r^2

The Attempt at a Solution



Flux at 3 AU will be 1.36/3^2 = 1.36/9 = 0.15 KW/square meter

I can't figure out how to relate this to the force though?

Any help would be appreciated.

*This is practise for a test not an assignment queston

The force will depend upon the angle of incidence of the light (assuming we are talking photon flux here!) and how much of the light is absorbed versus reflected. For perfect reflection and an angle of incidence of zero degrees from the normal the pressure exerted will be 2Ef/c. If the angle is not zero degrees then there's a cos2 term. Look up "radiation pressure".
 
  • #3
The information I gave in the question is all I have.
 
  • #4
Oops just realized I put the wrong thing in the first post, it should say "What is the force..."
 
  • #5
I think I got it. Force per square meter = Pressure and (Radiative) Pressure = Flux/c
 

FAQ: Find Force from Flux: Solar Sail at 3 AU

What is a solar sail?

A solar sail is a propulsion system that uses the pressure of sunlight to propel a spacecraft through space. It consists of a large, thin reflective surface that reflects photons from the sun, creating a small but constant force that can be used to accelerate the spacecraft.

How does a solar sail work?

A solar sail works by reflecting photons from the sun, which creates a small but continuous force that pushes against the sail. This force is similar to the wind pushing against a sail on a sailboat, but instead of wind, it uses sunlight. By adjusting the angle and orientation of the sail, the spacecraft can be steered and propelled in different directions.

How is force calculated from flux on a solar sail at 3 AU?

To calculate the force on a solar sail at 3 AU (astronomical units, or the distance between the Earth and the sun), you would first need to determine the flux, or amount of photons, hitting the sail at that distance. This can be calculated using the inverse square law, which states that the intensity of light decreases with the square of the distance. Once the flux is known, the force can be calculated using the equation F = P/c, where F is force, P is the pressure of light, and c is the speed of light.

What factors can affect the force on a solar sail at 3 AU?

Several factors can affect the force on a solar sail at 3 AU. These include the size and shape of the sail, the angle and orientation of the sail relative to the sun, and any external forces such as gravitational pull from other objects in space. The solar wind, which is a stream of charged particles from the sun, can also affect the force on a solar sail.

What are the potential applications of a solar sail at 3 AU?

A solar sail at 3 AU could potentially be used for long-distance space travel, as the constant force from the sun could gradually accelerate a spacecraft to high speeds. It could also be used for missions that require precise maneuvering or positioning, such as studying distant objects in the solar system or monitoring space weather. In addition, a solar sail at 3 AU could potentially provide a low-cost and low-maintenance method for maintaining the orbits of satellites and other spacecraft.

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