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

Table 2

Optimal 𝛼 for 𝑒 |Δ𝑟|⃗ in 10⁻⁵ Km |Δ𝑣| in 10⁻⁸ Km/s.

𝑒	𝛼	|Δ𝑟|⃗	|Δ𝑣|	𝑒	𝛼	|Δ𝑟|⃗	|Δ𝑣|
0.00	0.7284	3.730⋅10^−2	2.893⋅10^−4	0.50	0.9127	2.357⋅10^−2	8.684⋅10^−2
0.05	0.7581	3.555⋅10^−2	3.426⋅10^−3	0.55	0.9225	2.111⋅10^−2	9.858⋅10^−2
0.10	0.7839	3.451⋅10^−2	8.409⋅10^−3	0.60	0.9310	1.852⋅10^−2	1.091⋅10^−1
0.15	0.8066	3.374⋅10^−2	1.483⋅10^−2	0.65	0.9381	1.643⋅10^−2	1.170⋅10^−1
0.20	0.8268	3.303⋅10^−2	2.253⋅10^−2	0.70	0.9435	1.479⋅10^−2	1.199⋅10^−1
0.25	0.8450	3.229⋅10^−2	3.143⋅10^−2	0.75	0.9463	1.353⋅10^−2	1.094⋅10^−1
0.30	0.8613	3.116⋅10^−2	4.118⋅10^−2	0.80	0.9461	1.264⋅10^−2	6.894⋅10^−2
0.35	0.8761	2.980⋅10^−2	5.179⋅10^−2	0.85	0.9454	6.821⋅10^−3	4.313⋅10^−2
0.40	0.8896	2.810⋅10^−2	6.319⋅10^−2	0.90	0.9512	6.064⋅10^−2	3.600⋅10^−1
0.45	0.9017	2.599⋅10^−2	7.483⋅10^−2	0.95	0.9661	1.121⋅10^0	2.185⋅10^0