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Record 18 of 13915
A doubly averaging method for third body perturbations in planet equator coordinates
Author and Affiliation:
Hwok, Johnny H.(JPL, Pasadena, CA, United States)
Abstract: The first order doubly averaged potential due to third-body gravity is derived in any arbitrary coordinates. The equations of motion are nonsingular at zero eccentricity. The derivation uses a recursive method which allows easy expansion to higher order terms. Instead of using analytical quadrature to obtain the doubly averaged potential, the method presented in this paper simply eliminates the mean anomaly of the perturbed and perturbing bodies by inspection of the recursive formulation. The derivatives of the orbital elements can be numerically integrated rapidly. When a planet equator coordinate system is used, they can be added directly to the derivatives due to gravity harmonics without any coordinate transformation. The method is applied to various high altitude missions. The results are compared with a high precision numerical integration method and are found to provide excellent agreement.
Publication Date: Jan 01, 1992
Document ID:
19920060756
(Acquired Nov 22, 1995)
Accession Number: 92A43380
Subject Category: ASTRODYNAMICS
Report/Patent Number: AAS PAPER 91-464
Document Type: Conference Paper
Publication Information: (SEE A92-43251)
Publisher Information: United States
Meeting Information: AAS/AIAA Astrodynamics Conference; Aug. 19-22, 1991; Durango, CO; United States
Financial Sponsor: NASA; United States
Organization Source: Jet Propulsion Lab., California Inst. of Tech.; Pasadena, CA, United States
Description: 17p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: ECCENTRICITY; GRAVITATIONAL FIELDS; HIGH ALTITUDE ENVIRONMENTS; ORBIT PERTURBATION; ORBITAL ELEMENTS; AVERAGE; COORDINATE TRANSFORMATIONS; EARTH ORBITAL ENVIRONMENTS; EQUATIONS OF MOTION; NUMERICAL INTEGRATION
Imprint And Other Notes: IN: Astrodynamics 1991; Proceedings of the AAS/AIAA Astrodynamics Conference, Durango, CO, Aug. 19-22, 1991. Pt. 3 (A92-43251 18-13). San Diego, CA, Univelt, Inc., 1992, p. 2223-2239.
Availability Source: Other Sources
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