Approximate solution of the Euler-Lambert problem for near-circular orbits

Computer Science – Numerical Analysis

Scientific paper

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Approximation, Circular Orbits, Elliptical Orbits, Euler-Lambert Equation, Orbit Calculation, Error Analysis, Numerical Analysis, Quadratic Equations, Taylor Series

Scientific paper

The paper proposes a noniterative approximate method for solving the
Euler-Lambert equation for a near-circular elliptical orbit. The method
is based on a Taylor-series approach and reduces the problem to the
solution of a quadratic equation. The accuracy of the method is
evaluated numerically.

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