The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field
The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field
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In our eReader you can find the full English version of the book. Read The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field
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Since we wish to follow the flux surface on which a particle lies we must determine the cortbination e^ p-^ + eq2 with sont care. We see that eV2 p^ + e q2 = G^/2 p^ + e q2 + 0{e^) (A3) and that the error term is just a point function of the coordinates, independent of tine and not equivalent to a particle drift across a flux surface. After the transformations H = (1/2) I (E q§ + 2F q3f53 + G p§) + R|/e (q2 + A^)}^\ + /e p^^e (q2+A^ ) + e T^/l + 0(e^/2^ ^ (A4) where T^ = IR p§ - 2We (q2+A^ )] (...A;^, e^3+\, eP3+\^, 9 ^ +(/e (q2+A^ )]\^^^h^^, X^2^^, ^\-^, x\^ + ^^, ^\ - f^, x\+ E^, „P3+ E^;, q3)q§ -51- + 2(F, ,i. A, x - ^X^ + ^4'P3 -^ F^^q3)q3P3 + (^, A - ^, X\ ■" "^'. 'PPS + G^;^q3)p-§ (A5) +2 E q3(\, ^A^- \, x% + ^, ^^3+ \, X^3) + P3(\, A " %, X\ + %, >|;^3 -^ %, X^3)^ - 2G P3(A;, ^^A^- A^^^;\j^+ A;^^, , P3+ A^ ^^-^) and where the replace irent of the functions of space ^, \, 9, is \li = z ' p-|^ + e q2, A = e p2 f ai^d 6 = q-|^ + /r P2' We now start the construction of the lowest order magnetic rrontnt adiabatic invariant.
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To quickly assess the difficulty of the text, read a short excerpt:
Since we wish to follow the flux surface on which a particle lies we must determine the cortbination e^ p-^ + eq2 with sont care. We see that eV2 p^ + e q2 = G^/2 p^ + e q2 + 0{e^) (A3) and that the error term is just a point function of the coordinates, independent of tine and not equivalent to a particle drift across a flux surface. After the transformations H = (1/2) I (E q§ + 2F q3f53 + G p§) + R|/e (q2 + A^)}^\ + /e p^^e (q2+A^ ) + e T^/l + 0(e^/2^ ^ (A4) where T^ = IR p§ - 2We (q2+A^ )] (...A;^, e^3+\, eP3+\^, 9 ^ +(/e (q2+A^ )]\^^^h^^, X^2^^, ^\-^, x\^ + ^^, ^\ - f^, x\+ E^, „P3+ E^;, q3)q§ -51- + 2(F, ,i. A, x - ^X^ + ^4'P3 -^ F^^q3)q3P3 + (^, A - ^, X\ ■" "^'. 'PPS + G^;^q3)p-§ (A5) +2 E q3(\, ^A^- \, x% + ^, ^^3+ \, X^3) + P3(\, A " %, X\ + %, >|;^3 -^ %, X^3)^ - 2G P3(A;, ^^A^- A^^^;\j^+ A;^^, , P3+ A^ ^^-^) and where the replace irent of the functions of space ^, \, 9, is \li = z ' p-|^ + e q2, A = e p2 f ai^d 6 = q-|^ + /r P2' We now start the construction of the lowest order magnetic rrontnt adiabatic invariant.
What to read after The Motion of a Charged Particle in a Nearly Axisymmetric Magnetic Field?
You can find similar books in the "Read Also" column, or choose other free books by H Weitzner to read onlineMoreLess
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