Substituting these values in (C*) with dq/dt = −d2θ/dt2 = n2L, and ignoring products of the small terms, such as L2, LN, ...
| ( | A | + a2 + c2 ) Ln2 − (μ + N) ( | CR + K | + | CQ | ) (sin α + L cos α) |
| M | M | M |
| + (μ2 + 2μN) (A/M + c2 − 2Lρc sin α) (sin α cos α + L cos α) + (μ2 + 2μN) [ac − Lρ (a sin α − c sin α)] (sin2 α + L sin 2α) − (μ + N) (R + Q) (a + Lρcos α) |
(C**)
which is equivalent to
| −μ | CR + K | sin α + μ2 ( | A | + c2 ) sin αcos α |
| M | M |
+ μ2 ac sin2 α − μRa (a sin α + c cos α) − g (a cos α − c sin α) = 0,
(5)
the condition of steady motion; and
DL + EQ + FN = 0,