# Wavelet analysis of fine-scale structures in the Saturnian B and C rings using data from the Cassini spacecraft

## Abstract

A continuous wavelet transform with a complex Morlet basis offers an effective method for the analysis of an instant variable periodicity in the spatially inhomogeneous matter density in the radial structure of Saturn's rings. An original algorithm that reduces the integral transform to solving a Cauchy problem for a partial differential equation is used for an analysis of the images of Saturn's B and C rings, which were obtained in the second half of 2004 from the Cassini spacecraft. This paper is a continuation of our preceding study of the fine-scale structure of Saturn's rings reported in Zh. Eksp. Teor. Fiz. 128, 752 (2005) [JETP 101, 646 (2005)].

- Authors:

- Kursk State University (Russian Federation), E-mail: postnicov@mail.ru
- Moscow State University (Russian Federation), E-mail: loskutov@chaos.phys.msu.ru

- Publication Date:

- OSTI Identifier:
- 21072516

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 104; Journal Issue: 3; Other Information: DOI: 10.1134/S1063776107030065; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; CAUCHY PROBLEM; INTEGRAL TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PERIODICITY; SATURN PLANET

### Citation Formats

```
Postnikov, E. B., and Loskutov, A. Yu.
```*Wavelet analysis of fine-scale structures in the Saturnian B and C rings using data from the Cassini spacecraft*. United States: N. p., 2007.
Web. doi:10.1134/S1063776107030065.

```
Postnikov, E. B., & Loskutov, A. Yu.
```*Wavelet analysis of fine-scale structures in the Saturnian B and C rings using data from the Cassini spacecraft*. United States. doi:10.1134/S1063776107030065.

```
Postnikov, E. B., and Loskutov, A. Yu. Thu .
"Wavelet analysis of fine-scale structures in the Saturnian B and C rings using data from the Cassini spacecraft". United States.
doi:10.1134/S1063776107030065.
```

```
@article{osti_21072516,
```

title = {Wavelet analysis of fine-scale structures in the Saturnian B and C rings using data from the Cassini spacecraft},

author = {Postnikov, E. B. and Loskutov, A. Yu.},

abstractNote = {A continuous wavelet transform with a complex Morlet basis offers an effective method for the analysis of an instant variable periodicity in the spatially inhomogeneous matter density in the radial structure of Saturn's rings. An original algorithm that reduces the integral transform to solving a Cauchy problem for a partial differential equation is used for an analysis of the images of Saturn's B and C rings, which were obtained in the second half of 2004 from the Cassini spacecraft. This paper is a continuation of our preceding study of the fine-scale structure of Saturn's rings reported in Zh. Eksp. Teor. Fiz. 128, 752 (2005) [JETP 101, 646 (2005)].},

doi = {10.1134/S1063776107030065},

journal = {Journal of Experimental and Theoretical Physics},

number = 3,

volume = 104,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

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