Chris Peterson wrote:bystander wrote:Chris Peterson wrote:Light sails depend on radiation pressure, which exists because photons have momentum.
Conservation of momentum requires a transfer of momentum when light is absorbed or reflected.
Massless particles do have momentum.
Isn't momentum defined to be the product of
mass and velocity?
Only in classical mechanics, which fails at the scale of single particles. Under QM, the momentum of a photon is defined as h/lambda, that is, Planck's constant divided by the wavelength. For any massless particle, this is the same as E/c, the energy carried by the particle divided by c. Massless particles, including photons,
do have momentum.
Unfortunately for Light sails, the large E/c denominator means that
photons have a MINIMAL amount of momentumfor their energy .
Which is why it is generally preferable to just capture the photon
ENERGY
with solar panels and use that
ENERGY to drive a ion thruster:
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Dawn's ion thruster is powered by large solar panels.
The power ionizes the fuel (Xenon) and then accelerates it with an electric field between two grids.
Electrons are injected into the beam after acceleration to maintain a neutral plasma.>>
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If one is trying to push an asteroid,
the solar power energy can be even
more effectively utilized by using
electromagnetic mass ejectors on heavy asteroid boulders of mass
M
where the momentum impulse = sqrt(2
ME)
http://www.androidworld.com/prod15.htm
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Likewise: The Crookes radiometer uses
photon ENERGY to drive air convection and
generate a low pressure on the cool white side of the paddle due to the Bernoulli principle
to drive the radiometer in reverse from photon momentum radiation pressure:
http://www.youtube.com/watch?v=cey-JBeHrww
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<<The Crookes radiometer, also known as the light mill, consists of an airtight glass bulb, containing a partial vacuum. Inside are a set of vanes which are mounted on a spindle. The vanes rotate when exposed to light, with faster rotation for more intense light, providing a quantitative measurement of electromagnetic radiation intensity.
It was invented in 1873 by the chemist Sir William Crookes as the by-product of some chemical research. In the course of very accurate quantitative chemical work, he was weighing samples in a partially evacuated chamber to reduce the effect of air currents, and noticed the weighings were disturbed when sunlight shone on the balance. Investigating this effect, he created the device named after him. It is still manufactured and sold as a novelty item.Crookes incorrectly suggested that the force was due to the pressure of light. This theory was originally supported by James Clerk Maxwell who had predicted this force. This explanation is still often seen in leaflets packaged with the device. The first experiment to disprove this theory was done by Arthur Schuster in 1876, who observed that there was a force on the glass bulb of the Crookes radiometer that was in the opposite direction to the rotation of the vanes. This showed that the force turning the vanes was generated inside the radiometer. If light pressure was the cause of the rotation, then the better the vacuum in the bulb, the less air resistance to movement, and the faster the vanes should spin. In 1901, with a better vacuum pump, Pyotr Lebedev showed that in fact, the radiometer only works when there is low pressure gas in the bulb, and the vanes stay motionless in a hard vacuum. Finally, if light pressure were the motive force, the radiometer would spin in the opposite direction as the photons on the shiny side being reflected would deposit more momentum than on the black side where the photons are absorbed. The actual pressure exerted by light is far too small to move these vanes but can be measured with devices such as the Nichols radiometer.>>
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