Accession Number:

ADA210440

Title:

On Analytic Modeling of Lunar Perturbations of Artificial Satellites of the Earth

Descriptive Note:

Technical rept.

Corporate Author:

MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB

Personal Author(s):

• Lane, M. T.

Report Date:

1989-06-13

Pagination or Media Count:

84.0

Abstract:

Two different procedures for analytically modeling the effects of the Moons direct gravitational force on artificial Earth satellites are discussed from theoretical and numerical viewpoints. One is developed using classical series expansions of inclination and eccentricity for both the satellite and the Moon, and the other employs the method of averaging. Both solutions are seen to have advantages, but it is shown that while the former is more accurate in special situations, the latter is quicker and more practical for the general orbit determination problem where observed data are used to correct the orbit in near real time. Keywords Perturbation theory Third body effects Analytical solutions Legendre polynomials Method of averaging Series expansion method.

Descriptors:

• *GRAVITATIONAL FIELDS
• *ORBITS
• *MOON
• *ARTIFICIAL SATELLITES
• SERIES(MATHEMATICS)
• PERTURBATION THEORY
• EXPANSION
• DETERMINATION
• ECCENTRICITY
• POLYNOMIALS
• SOLUTIONS(GENERAL)
• REAL TIME
• MATHEMATICAL MODELS
• SLOPE

Subject Categories:

• Celestial Mechanics
• Spacecraft Trajectories and Reentry

Distribution Statement:

APPROVED FOR PUBLIC RELEASE