Effect of g-jitter on the spectrum of excitations of a free fluid surface: Stochastic formulation

Jorge Vinals, Robert F. Sekerka

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present a theoretical investigation of the effects that residual accelerations onboard spacecraft can have on the spectrum of excitations of a free fluid surface. We model the high frequency, large-amplitude components of such residual accelerations (sometimes called g-jitter) as a stochastic or random process. We calculate, to lowest order in ail expansion in the correlation time of g-jitter, the dynamical equation satisfied by the average surface displacement from planarity. The average is taken over an ensemble of realizations of the fluctuating residual acceleration. We conclude that the dispersion relation for surface waves is modified: it includes a contribution proportional to the mean square g-jitter and tile square of its correlation time.

Original languageEnglish (US)
Title of host publication28th Aerospace Sciences Meeting, 1990
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
StatePublished - Jan 1 1990
Event28th Aerospace Sciences Meeting, 1990 - Reno, United States
Duration: Jan 8 1990Jan 11 1990

Other

Other28th Aerospace Sciences Meeting, 1990
CountryUnited States
CityReno
Period1/8/901/11/90

Fingerprint

Jitter
Random processes
Fluids
Tile
Surface waves
Spacecraft

Cite this

Vinals, J., & Sekerka, R. F. (1990). Effect of g-jitter on the spectrum of excitations of a free fluid surface: Stochastic formulation. In 28th Aerospace Sciences Meeting, 1990 [AIAA-90-0652] American Institute of Aeronautics and Astronautics Inc, AIAA.

Effect of g-jitter on the spectrum of excitations of a free fluid surface : Stochastic formulation. / Vinals, Jorge; Sekerka, Robert F.

28th Aerospace Sciences Meeting, 1990. American Institute of Aeronautics and Astronautics Inc, AIAA, 1990. AIAA-90-0652.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Vinals, J & Sekerka, RF 1990, Effect of g-jitter on the spectrum of excitations of a free fluid surface: Stochastic formulation. in 28th Aerospace Sciences Meeting, 1990., AIAA-90-0652, American Institute of Aeronautics and Astronautics Inc, AIAA, 28th Aerospace Sciences Meeting, 1990, Reno, United States, 1/8/90.
Vinals J, Sekerka RF. Effect of g-jitter on the spectrum of excitations of a free fluid surface: Stochastic formulation. In 28th Aerospace Sciences Meeting, 1990. American Institute of Aeronautics and Astronautics Inc, AIAA. 1990. AIAA-90-0652
Vinals, Jorge ; Sekerka, Robert F. / Effect of g-jitter on the spectrum of excitations of a free fluid surface : Stochastic formulation. 28th Aerospace Sciences Meeting, 1990. American Institute of Aeronautics and Astronautics Inc, AIAA, 1990.
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