Hi please show all work and explanation. Thank you. A particle of mass m is moving in a central field along a spiral orbit given in polar coordinates byr = roeko, where ro and k are positive constants.a) Use the Binet equation:d²b+ b =do2mF(r),6² M²´where b = 1/r, to show that the force is inverse-cube in r (F is proportional to r-3).b) Substitute r into the conserved angular momentum in polar coordinates M =that o varies logarithmically with t.mr²o to show

To given that,r=r0ekϕnow, Binet equation ,d2dϕ21r+1r=-μr2l2fr .......1…

Answered: A particle of mass m is moving in a…

A particle of mass m is moving in a central field along a spiral orbit given in polar coordinates by r= roekø where ro and k are positive constants

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Hi please show all work and explanation. Thank you.

A particle of mass m is moving in a central field along a spiral orbit given in polar coordinates by
r = roeko, where ro and k are positive constants.
a) Use the Binet equation:
d²b
+ b =
do2
m
F(r),
6² M²´
where b = 1/r, to show that the force is inverse-cube in r (F is proportional to r-3).
b) Substitute r into the conserved angular momentum in polar coordinates M =
that o varies logarithmically with t.
mr²o to show

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