An Orbit Problem Studied by Stiefel and Bettis

3 An Orbit Problem Studied by Stiefel and Bettis — We consider the following almost periodic orbit problem studied by Stiefel and Bettis,  

The solution of equation (77) represents motion on a perturbation of a cireular orbit in the complex plane. 

The equivalent system of equations (79) has been solved numerically for 0 X 1000 using the above mentioned methods (see Section 2.7.1). 

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In ref. 162 the numerical integration of Hamiltonian systems is investigated. Trigonometrically fitted S5miplectic partinioned Runge-Kutta methods of second, third and fourth orders are obtained. The methods are tested on the numerical integration of the harmonic oscillator, the two body problem and an orbital problem studied by Stiefel and Bettis. 

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