tudies of the Earth's magnetic field reveal that its strength at its surface along its e s approximately 25 µT while its strength at its poles is 65 µT. ) Assuming the Earth's magnetic field can be modeled as a dipole, compute the stren nagnetic field at a radius of 3 Earth radii above the equatorial surface (corresponding t adii from its center). ) At this radius, compute the mirror ratio RM, the half-opening angle ao in degrees an robability P. Wiu di: fuonm th uth'

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Studies of the Earth's magnetic field reveal that its strength at its surface along its equator
is approximately 25 µT while its strength at its poles is 65 µT.
a) Assuming the Earth's magnetic field can be modeled as a dipole, compute the strength of its
magnetic field at a radius of 3 Earth radii above the equatorial surface (corresponding to 4 Earth
radii from its center).
b) At this radius, compute the mirror ratio RM, the half-opening angle ao in degrees and the loss
probability P.
c) Will a particle located at 4 Earth radii from the Earth's center and with a pitch angle of 5 degrees
to the magnetic field be lost? Explain your answer.
Transcribed Image Text:Studies of the Earth's magnetic field reveal that its strength at its surface along its equator is approximately 25 µT while its strength at its poles is 65 µT. a) Assuming the Earth's magnetic field can be modeled as a dipole, compute the strength of its magnetic field at a radius of 3 Earth radii above the equatorial surface (corresponding to 4 Earth radii from its center). b) At this radius, compute the mirror ratio RM, the half-opening angle ao in degrees and the loss probability P. c) Will a particle located at 4 Earth radii from the Earth's center and with a pitch angle of 5 degrees to the magnetic field be lost? Explain your answer.
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