With the same approximation (A*) and (B*) are equivalent to
| ( | C | + a2 ) | Q | − ac sin α | N | − μa (a sin α + 2c cos α − ρ sin2 α) + Raρ cos α = 0, |
| M | L | L |
(A**)
| −ac | Q | + ( | A | + c2 ) sin α | N | − | CR + K | + 2μ ( | A | + c2 ) cos α |
| L | M | L | M | M |
+ μc sin α (a − ρ sin α) − Rcρ cos α = 0.
(B**)
The elimination of L, Q, N will lead to an equation for the determination of n2, and n2 must be positive for the motion to be stable.
If b is the radius of the horizontal circle described by G in steady motion round the centre B,
b = v/μ = (cP − aR) / μ = c sin α − aR / μ,
(10)