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Two semi-analytic solutions for a perturbed two-body problem known as Lagrange planetary equations (LPE) were compared\udto a numerical integration of the equation of motion with same perturbation force. To avoid the critical conditions\udinherited from the configuration of LPE, non-singular orbital elements (EOE) had been introduced. In this study, two\udtypes of orbital elements, classical Keplerian orbital elements (COE) and EOE were used for the solution of the LPE. The\udeffectiveness of EOE and the discrepancy between EOE and COE were investigated by using several near critical conditions.\udThe near one revolution, one day, and seven days evolutions of each orbital element described in LPE with COE\udand EOE were analyzed by comparing it with the directly converted orbital elements from the numerically integrated\udstate vector in Cartesian coordinate. As a result, LPE with EOE has an advantage in long term calculation over LPE with\udCOE in case of relatively small eccentricity

journal of astronomy and space sciences

The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J<sub>2</sub>Perturbation: Part I

The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J2Perturbation: Part I

The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J₂Perturbation: Part I