(2)
| ∂x = | ∂x | δq1 + | ∂x | δq2 + ..., &c., &c., |
| ∂q1 | ∂q2 |
(3)
so that the expression § 1 (8) for the kinetic energy is to be replaced by
2Τ = α0 + 2α1q˙1 + 2α2q˙2 + ... + A11q˙1² + A22q˙2² + ... + A12q˙1q˙2 + ...,
(4)
where
| α0 = Σm { ( | ∂x | ) | ² | + ( | ∂y | ) | ² | + ( | ∂z | ) | ² | }, |
| ∂t | ∂t | ∂t |
(5)
| αr = Σm { | ∂x | ∂x | + | ∂y | ∂y | + | ∂z | ∂z | }, | |||
| ∂t | ∂qr | ∂t | ∂qr | ∂t | ∂qr |