About the Use of the HdHr Algorithm Group in Integrating the Movement Equation with Nonlinear Terms

Table 2

Approximate range 𝑇_𝑎𝑝 and total number of iterations (N. Iter.) 𝜃₀=𝜋/6 (𝑇_exact=6.392568s)—HdH1 and HdH2 methods.

Δ𝑡(𝑠)	HdH1	𝜀𝑟%	N. Iter.	HdH2	𝜀𝑟%	N. Iter.
1,00000	5.837342	8.69	7	6.367695	0,39	6
0,10000	6.377251	0.24	28	6.390932	2.6e–2	29
0,01000	6.391958	9.5e–3	160	6.392413	2.4e–3	160
0,00100	6.392478	1.4e–3	1599	6.392553	2.3e–4	1599
0,00010	6.392521	7.4e–4	15982	6.392566	3.1e–5	15982
0,00001	6.392525	5.7e–4	159815	6.392568	1e–5	159815