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Physics
Physics · modern-physics
Problem
Find a bound on the possible values of the integral constant
C
2
C_{2}
C
2
using the following conditions:
C
1
=
0
C_{1}=0
C
1
=
0
and
d
2
r
d
ϕ
2
>
0
\frac{d^{2} r}{d \phi^{2}}>0
d
ϕ
2
d
2
r
>
0
at
r
=
r
1
r=r_{1}
r
=
r
1
. Further, derive the following equation with appropriate positive constants
D
D
D
and
ε
\varepsilon
ε
:
r
=
D
1
+
ε
cos
ϕ
r=\frac{D}{1+\varepsilon \cos \phi}
r
=
1
+
ε
cos
ϕ
D
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