Numerical analysis of critical inclinations about the planet Mars

Details Numerical analysis of critical inclinations about the planet Mars Numerical analysis of critical inclinations about the planet Mars

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990wpaf.reptq....h&link_type=abstract

M.S. Thesis Air Force Inst. of Tech., Wright-Patterson AFB, OH.

Computer Science

Numerical Analysis

Eccentric Orbits, Equations Of Motion, Euler-Lagrange Equation, Inclination, Mars (Planet), Perigees, Planetary Orbits, Satellite Orbits, Approximation, Numerical Analysis, Polynomials, Satellite Perturbation, Standard Deviation

Scientific paper

This study investigated critical inclinations about the planet Mars. Averaged equations of motion were numerically integrated over a time span of ten earth years for various inclinations, eccentricities, and perigee heights. Each orbit (i.e., set of initial conditions) produced a standard deviation of the variations in eccentricity (SDE) and inclination (SDI). These were calculated using a polynomial approximation to the variations. Surface plots of SDI and SDE vs. the initial conditions are then examined to ascertain the critical inclinations.

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