Secular motion in a 2nd degree and order-gravity field with no rotation

D. J. Scheeres; W. Hu

doi:10.1023/A:1017555005699

Secular motion in a 2nd degree and order-gravity field with no rotation

D. J. Scheeres^*
, W. Hu

^*Corresponding author for this work

Department of Aerospace Engineering
University of Michigan, Ann Arbor

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

The motion of a particle about a non-rotating 2nd degree and order-gravity field is investigated. Averaging conditions are applied to the particle motion and a qualitative analysis which reveals the general character of motion in this system is given. It is shown that the orbit plane will either be stationary or precess about the body's axis of minimum or maximum moment of inertia. It is also shown that the secular equations for this system can be integrated in terms of trigonometric, hyperbolic or elliptic functions. The explicit solutions are derived in all cases of interest.

Original language	English
Pages (from-to)	183-200
Number of pages	18
Journal	Celestial Mechanics and Dynamical Astronomy
Volume	79
Issue number	3
DOIs	https://doi.org/10.1023/A:1017555005699
State	Published - 2001
Externally published	Yes

Keywords

Analytical solution
Averaging methods
Dipole gravity
Secular motion

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abstract = "The motion of a particle about a non-rotating 2nd degree and order-gravity field is investigated. Averaging conditions are applied to the particle motion and a qualitative analysis which reveals the general character of motion in this system is given. It is shown that the orbit plane will either be stationary or precess about the body's axis of minimum or maximum moment of inertia. It is also shown that the secular equations for this system can be integrated in terms of trigonometric, hyperbolic or elliptic functions. The explicit solutions are derived in all cases of interest.",

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AB - The motion of a particle about a non-rotating 2nd degree and order-gravity field is investigated. Averaging conditions are applied to the particle motion and a qualitative analysis which reveals the general character of motion in this system is given. It is shown that the orbit plane will either be stationary or precess about the body's axis of minimum or maximum moment of inertia. It is also shown that the secular equations for this system can be integrated in terms of trigonometric, hyperbolic or elliptic functions. The explicit solutions are derived in all cases of interest.

KW - Analytical solution

KW - Averaging methods

KW - Dipole gravity

KW - Secular motion

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IS - 3

ER -

Secular motion in a 2nd degree and order-gravity field with no rotation

Abstract

Keywords

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