Minimal and Subminimal Simplification

Ramnath, Rudrapatna V.

doi:10.2514/3.55951

Cited by 53 publications

(4 citation statements)

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“…This refinement, i.e. the principle of subminimal simplification was developed by Ramnath [6,9] and has been applied succesfully by Ramnath [10]. It will find its application in our analysis later on.…”

Section: K(t)mentioning

confidence: 99%

“…The idea presented in the previous paragraph can easily be implemented graph- Simplification, developed by Kruskal (see Reference [9]). Each point in the diagram will be assumed to represent each term in the partial differential equation resulted after extending the independent variable.…”

Section: K(t)mentioning

confidence: 99%

“…Note that r 1 still contains variable v. The right value of v will be determined later by utilizing the principle of minimal simplification [9] as described in Chapter 2.…”

Section: Roll Motionmentioning

confidence: 99%

“…This is what is called by the principle of minimal simplification. The following treatment is based on the development by Ramnath [9].…”

Section: Principle Of Minimal and Subminimal Simplificationmentioning

confidence: 99%

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Geomagnetic Attitude Control of Satellites Using Generalized Multiple Scales

Ramnath

1997

Journal of Guidance, Control, and Dynamics

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The dynamics of satellites utilizing geomagnetic attitude control with a specific control law are analyzed. Two types of satellites are considered, namely single spin asymmetric satellites and dual spin satellites. Stability criteria and approximate description of the motion of the satellites are obtained in a parametric form (analytical) using the Generalized Multiple Scales (GMS) method. By means of this method, the rapid and slow parts of the dynamics are systematically separated, leading to insight into the nature of the system. Finally, a good agreement between the approximate analytical and numerical solutions is demonstrated.

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Section: K(t)mentioning

confidence: 99%

Section: K(t)mentioning

confidence: 99%

“…Note that r 1 still contains variable v. The right value of v will be determined later by utilizing the principle of minimal simplification [9] as described in Chapter 2.…”

Section: Roll Motionmentioning

confidence: 99%

“…This is what is called by the principle of minimal simplification. The following treatment is based on the development by Ramnath [9].…”

Section: Principle Of Minimal and Subminimal Simplificationmentioning

confidence: 99%

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