Static deformations and dislocation theory - Earth Dynamics: Deformations and Oscillations of the Rotating Earth - page 508

(2 n + 1)( n − 1)( n + 2)

v − n ( r ) = δ( r − r 0 ) sin 2α, (9.83)

16π r 3

2 n + 1

2

v

n ( r )

=

1) r 3 δ( r

− r 0 ) sin 2α,

16π n ( n +

2 n 1

8π r 3 δ( r − r 0 )cos2α,

+

t − n ( r )

=−

2 n + 1

t n ( r ) =

1) r 3 δ( r

− r 0 )cos2α,

8π n ( n +

i (2 n + 1)( n − 1)( n − 2)

t − n ( r )

=

δ( r − r 0 ) sin 2α,

16π r 3

i (2 n + 1)

t n ( r ) =−

1) r 3 δ( r

− r 0 ) sin 2α.

16π n ( n +

Similarly, for the extra double-force densities (9.80) arising from co-ordinate cur-
vature for the strike-slip system, we find

2 n 1

8π r 3 δ( r

+

v − n ( r )

=− −

r 0 )cosα,

2 n + 1

1

v

n ( r )

=

1) r 3 δ( r

− r 0 )cosα,

8π n ( n +

i (2 n + 1)( n − 1)( n + 2)

v − n ( r )

= −

δ( r r 0 )sinα,

16π r 3

i (2 n + 1)

2

v

n ( r )

=−

1) r 3 δ( r

− r 0 )sinα,

16π n ( n +

2 n 1

8π r 3 δ( r

+

t n ( r ) = − r 0 )sinα, (9.84)

i (2 n 1)

8π r 3 δ( r

+

t − n ( r ) =− − r 0 )cosα,

i (2 n + 1)

t n ( r ) =−

1) r 3 δ( r

− r 0 )cosα,

8π n ( n +

(2 n + 1) ( n − 1)( n + 2)

t − n ( r )

=− δ( r − r 0 )sinα,

16π r 3

2 n + 1

t n ( r ) =−

1) r 3 δ( r

− r 0 )sinα.

16π n ( n +