A Study about the Integration of the Elliptical Orbital Motion Based on a Special One-Parametric Family of Anomalies

Table 1

Length of the 1/Δ using 𝑀,Ψ₀,Ψ_0.25,Ψ_0.5,Ψ_0.75, and Ψ_1.0.

Number of iteration	𝑀	𝛼=0.0	𝛼=0.25	𝛼=0.50	𝛼=0.75	𝛼=1.0	err
0	2197	1597	1438	1298	1095	419
1	2518	1882	1717	1570	1379	1172	1.01⋅10^−2
2	2728	2144	1988	1855	1728	1707	1.36⋅10^−3
3	2841	2294	2182	2102	2028	2056	3.67⋅10^−5
4	2613	2052	1988	1957	1924	1912	3.50⋅10^−8
5	2627	2112	2036	2007	1940	1952	6.27⋅10^−14