Analysis of three-spacecraft data using planar reciprocal vectors: Methodological framework and spatial gradient estimation

Annales Geophysicae

Volumn 27, Issue 8, 2009, Pages 3249-3273

  Vogt, J ^a   Albert, A ^a   Marghitu, O ^b  

^a JACOBS UNIVERSITY BREMEN   (Germany)

^b INSTITUTE OF SPACE SCIENCES   (Romania)

Author keywords

Magnetospheric physics (Current systems Instruments and techniques); Space plasma physics (Experimental and mathematical techniques)

Indexed keywords

CLUSTER ANALYSIS; ESTIMATION METHOD; GRADIENT ANALYSIS; MAGNETOSPHERE; PLASMA; SPACECRAFT; VECTOR;

EID: 73149120032     PISSN: 09927689     EISSN: 14320576     Source Type: Journal    
DOI: 10.5194/angeo-27-3249-2009     Document Type: Article

References (48)

1. Balikhin, M. A. and Gedalin, M. E.: Comparative analysis of different methods for distinguishing temporal and spatial variations, in: ESA WPP-047: Proc. of Start Conf., Aussois, France, pp. 183-187, 1993.
2. Balogh, A., Carr, C. M., Acuña, M. H., Dunlop, M. W., Beek, T. J., Brown, P., Fornacon, K.-H., Georgescu, E., Glassmeier, K.- H., Harris, J., Musmann, G., Oddy, T., and Schwingenschuh, K.: The Cluster Magnetic Field Investigation: overview of in-flight performance and initial results, Ann. Geophys., 19, 1207-1217, 2001, http://www.ann-geophys.net/19/1207/2001/.
3. Bargatze, L. F., McPherron, R. L., Minamora, J., and Weimer, D.: A new interpretation of Weimer et al.'s solar wind propagation delay technique, J. Geophys. Res., 110, A07105, doi:10.1029/ 2004JA010902, 2005.
4. Bargatze, L. F., McPherron, R. L., Minamora, J., and Weimer, D.: Reply to comment by Haaland et al. on "A new interpretation of Weimer et al.'s solar wind propagation delay technique", J. Geophys. Res., 111, A06103, doi:10.1029/2005JA011557, 2006.
5. Chanteur, G.: Spatial Interpolation for Four Spacecraft: Theory, in: Analysis Methods for Multi-Spacecraft Data, edited by: Paschmann, G. and Daly, P., pp. 371-393, ISSI/ESA, 1998.
6. Chanteur, G.: Accuracy of field gradient estimations by Cluster: Explanation of its dependency upon elongation and planarity of the tetrahedron, pp. 265-268, ESA SP-449, 2000.
7. Chanteur, G. and Harvey, C. C.: Spatial Interpolation for Four Spacecraft: Application to Magnetic Gradients, in: Analysis Methods for Multi-Spacecraft Data, edited by: Paschmann, G. and Daly, P., pp. 349-369, ISSI/ESA, 1998.
8. Constantinescu, O. D., Glassmeier, K.-H., Dcrau, P. M. E., Fränz, M., and Fornaon, K.-H.: Low frequency wave sources in the outer magnetosphere, magnetosheath, and near Earth solar wind, Ann. Geophys., 25, 2217-2228, 2007, http://www.ann-geophys.net/25/2217/2007/.
9. De Keyser, J.: Least-squares multi-spacecraft gradient calculation with automatic error estimation, Ann. Geophys., 26, 3295-3316, 2008, http://www.ann-geophys.net/26/3295/2008/.
10. De Keyser, J., Roth, M., Dunlop, M. W., Rme, H., Owen, C. J., and Paschmann, G.: Empirical reconstruction and long-duration tracking of the magnetospheric boundary in single- and multispacecraft contexts, Ann. Geophys., 23, 1355-1369, 2005, http://www.ann-geophys.net/23/1355/2005/.
11. De Keyser, J., Darrouzet, F., Dunlop, M. W., and D́ecŕeau, P. M. E.: Least-squares gradient calculation from multi-point observations of scalar and vector fields: methodology and applications with Cluster in the plasmasphere, Ann. Geophys., 25, 971-987, 2007, http://www.ann-geophys.net/25/ 971/2007/.
12. Dudok de Wit, T., Krasnoselskikh, V. V., Bale, S. D., Dunlop, M. W., Lühr, H., Schwartz, S. J., and Woolliscroft, L. J. C.: Determination of dispersion relations in quasi-stationary plasma turbulence using dual satellite data, Geophys. Res. Lett., 22, 2653-2656, doi:10.1029/95GL02543, 1995.
13. Dunlop, M.W. and Eastwood, J. P.: The Curlometer and Other Gradient Based Methods, pp. 17-25, ISSI SR-008, 2008.
14. Dunlop, M. W. and Woodward, T. I.: Multi-Spacecraft Discontinuity Analysis: Orientation and Motion, in: Analysis Methods for Multi-Spacecraft Data, edited by: Paschmann, G. and Daly, P., pp. 271-305, ISSI/ESA, 1998.
15. Dunlop, M. W., Southwood, D. J., Glassmeier, K.-H., and Neubauer, F. M.: Analysis of multipoint magnetometer data, Adv. Space Res., 8, 273-277, 1988.
16. Dunlop, M. W., Balogh, A., Glassmeier, K.-H., and Robert, P.: Four-point Cluster application of magnetic field analysis tools: The Curlometer, J. Geophys. Res., 107, 1384, doi:10.1029/ 2001JA005088, 2002.
17. Haaland, S., Paschmann, G., and Sonnerup, B. U. Ö.: Comment on "A new interpretation of Weimer et al.'s solar wind propagation delay technique" by Bargatze et al., J. Geophys. Res., 111, A06102, doi:10.1029/2005JA011376, 2006.
18. Hamrin, M., Marghitu, O., Rönnmark, K., Klecker, B., Andŕe, M., Buchert, S., Kistler, L. M., McFadden, J., R̀eme, H., and Vaivads, A.: Observations of concentrated generator regions in the nightside magnetosphere by Cluster/FAST conjunctions, Ann. Geophys., 24, 637-649, 2006, http://www.ann-geophys.net/24/637/2006/.
19. Hamrin, M., Rönnmark, K., Börlin, N., Vedin, J., and Vaivads, A.: GALS - Gradient Analysis by Least Squares, Ann. Geophys., 26, 3491-3499, 2008, http://www.ann-geophys.net/26/3491/2008/.
20. Harvey, C. C.: Spatial Gradients and the Volumetric Tensor, pp. 307-322, ISSI SR-001, 1998.
21. Horbury, T. S. and Osman, K. T.: Multi-Spacecraft Turbulence Analysis Methods, pp. 55-64, ISSI SR-008, 2008.
22. Knetter, T., Neubauer, F. M., Horbury, T., and Balogh, A.: Fourpoint discontinuity observations using Cluster magnetic field data: A statistical survey, J. Geophys. Res., 109, A06102, doi: 10.1029/2003JA010099, 2004.
23. Marghitu, O., Hamrin, M., Klecker, B., Vaivads, A., McFadden, J., Buchert, S., Kistler, L. M., Dandouras, I., Andŕe, M., and R̀eme, H.: Experimental investigation of auroral generator regions with conjugate Cluster and FAST data, Ann. Geophys., 24, 619-635, 2006, http://www.ann-geophys. net/24/619/2006/.
24. Motschmann, U., Glassmeier, K.-H., and Pinçon, J. L.: Multi- Spacecraft Filtering: Plasma Mode Recognition, in: Analysis Methods for Multi-Spacecraft Data, edited by: Paschmann, G. and Daly, P., pp. 65-78, ISSI/ESA, 1998.
25. Neubauer, F. M. and Glassmeier, K.-H.: Use of an array of satellites as a wave telescope, J. Geophys. Res., 95, 19115-19122, 1990.
26. Paschmann, G. and Daly, P. W.: Analysis Methods for Multi- Spacecraft Data, no. in ISSI Scientific Reports, ESA Publ. Div., Noordwijk, Netherlands, 1998.
27. Paschmann, G. and Daly, P. W.: Multi-Spacecraft Analysis Methods Revisited, no. in ISSI Scientific Reports, ESA Publ. Div., Noordwijk, Netherlands, 2008.
28. Pinçon, J.-L. and Glassmeier, K.-H.: Multi-Spacecraft Methods of Wave Field Characterisation, pp. 47-54, ISSI SR-008, 2008.
29. Pinçon, J. L. and Lefeuvre, F.: Local characterization of homogeneous turbulence in a space plasma from simultaneous measurements of field components at several points in space, J. Geophys. Res., 96, 1789 - 1802, 1991.
30. Pinçon, J. L. and Lefeuvre, F.: The application of the generalized Capon method to the analysis of a turbulent field in space plasma - Experimental constraints, J. Atmos. Terr. Phys., 54, 1237-1247, 1992.
31. Pinçon, J. L. and Motschmann, U.: Multi-Spacecraft Filtering: General Framework, in: Analysis Methods for Multi-Spacecraft Data, edited by: Paschmann, G. and Daly, P. , pp. 65-78, ISSI/ESA, 1998.
32. R̀eme, H., Aoustin, C., Bosqued, J. M., Dandouras, I., Lavraud, B., Sauvaud, J. A., Barthe, A., Bouyssou, J., Camus, Th., Coeur- Joly, O., Cros, A., Cuvilo, J., Ducay, F., Garbarowitz, Y., Medale, J. L., Penou, E., Perrier, H., Romefort, D., Rouzaud, J., Vallat, C., Alcayd́e, D., Jacquey, C., Mazelle, C., d'Uston, C., Möbius, E., Kistler, L. M., Crocker, K., Granoff, M., Mouikis, C., Popecki, M., Vosbury, M., Klecker, B., Hovestadt, D., Kucharek, H., Kuenneth, E., Paschmann, G., Scholer, M., Sckopke, N., Seidenschwang, E., Carlson, C.W., Curtis, D.W., Ingraham, C., Lin, R. P., McFadden, J. P., Parks, G. K., Phan, T., Formisano, V., Amata, E., Bavassano-Cattaneo, M. B., Baldetti, P., Bruno, R., Chionchio, G., Di Lellis, A., Marcucci, M. F., Pallocchia, G., Korth, A., Daly, P. W., Graeve, B., Rosenbauer, H., Vasyliunas, V., Mc- Carthy, M.,Wilber, M., Eliasson, L., Lundin, R., Olsen, S., Shelley, E. G., Fuselier, S., Ghielmetti, A. G., Lennartsson, W., Escoubet, C. P., Balsiger, H., Friedel, R., Cao, J.-B., Kovrazhkin, R. A., Papamastorakis, I., Pellat, R., Scudder, J., and Sonnerup, B.: First multispacecraft ion measurements in and near the Earth's magnetosphere with the identical Cluster ion spectrometry (CIS) experiment, Ann. Geophys., 19, 1303-1354, 2001, http://www.ann-geophys.net/19/1303/2001/.
33. Robert, P., Dunlop, M. D., Roux, A., and Chanteur, G.: Accuracy of Current Density Estimation, pp. 395-418, ISSI SR-001, 1998a.
34. Robert, P., Roux, A., Harvey, C. C., Dunlop,M.W., Daly, P.W., and Glassmeier, K.-H.: Tetrahedron Geometric Factors, pp. 323-348, ISSI SR-001, 1998b.
35. Runov, A., Sergeev, V. A., Baumjohann, W., Nakamura, R., Apatenkov, S., Asano, Y., Volwerk, M., V̈rös, Z., Zhang, T. L., Petrukovich, A., Balogh, A., Sauvaud, J.-A., Klecker, B., and R̀eme, H.: Electric current and magnetic field geometry in flapping magnetotail current sheets, Ann. Geophys., 23, 1391-1403, 2005, http://www.ann-geophys.net/23/1391/2005/.
36. Runov, A., Sergeev, V. A., Nakamura, R., Baumjohann, W., Apatenkov, S., Asano, Y., Takada, T., Volwerk, M., Vörös, Z., Zhang, T. L., Sauvaud, J.-A., R̀eme, H., and Balogh, A.: Local structure of the magnetotail current sheet: 2001 Cluster observations, Ann. Geophys., 24, 247-262, 2006, http://www.ann-geophys.net/24/247/2006/.
37. Samson, J. C., Greenwald, R. A., Ruohoniemi, J. M., Frey, A., and Baker, K. B.: Goose Bay radar observations of earth-reflected, atmospheric gravity waves in the high-latitude ionosphere, J. Geophys. Res., 95, 7693-7709, 1990.
38. Santolík, O., Parrot, M., and Lefeuvre, F.: Singular value decomposition methods for wave propagation analysis, Radio Sci., 38, 10-11, doi:10.1029/2000RS002523, 2003.
39. Siscoe, G. L., Davis, Jr., L., Coleman, Jr., P. J., Smith, E. J., and Jones, D. E.: Power Spectra and Discontinuities of the Interplanetary Magnetic Field: Mariner 4, J. Geophys. Res., 73, 61-82, doi:10.1029/JA073i001p00061, 1968.
40. Sonnerup, B. U. O. and Cahill Jr., L. J.: Magnetopause Structure and Attitude from Explorer 12 Observations, J. Geophys. Res., 72, 171-183, 1967.
41. Sonnerup, B. U. Ö. and Scheible, M.: Minimum and Maximum Variance Analysis, in: Analysis Methods for Multi-Spacecraft Data, edited by: Paschmann, G. and Daly, P., pp. 185-220, ISSI/ESA, 1998.
42. Sonnerup, B. U. Ö., Haaland, S., and Paschmann, G.: Discontinuity Orientation, Motion, and Thickness, pp. 1-15, ISSI SR-008, 2008.
43. Vallat, C., Dandouras, I., Dunlop, M., Balogh, A., Lucek, E., Parks, G. K., Wilber, M., Roelof, E. C., Chanteur, G., and R̀eme, H.: First current density measurements in the ring current region using simultaneous multi-spacecraft CLUSTER-FGM data, Ann. Geophys., 23, 1849-1865, 2005, http://www.ann-geophys.net/23/1849/2005/.
44. Vogt, J. and Paschmann, G.: Accuracy of Plasma Moment Derivatives, pp. 419-447, ISSI SR-001, 1998.
45. Vogt, J., Narita, Y., and Constantinescu, O. D.: The wave surveyor technique for fast plasma wave detection in multi-spacecraft data, Ann. Geophys., 26, 1699-1710, 2008a, http://www.ann-geophys.net/26/1699/2008/.
46. Vogt, J., Paschmann, G., and Chanteur, G.: Reciprocal Vectors, pp. 33-46, ISSI SR-008, 2008b.
47. Walker, S. N., Sahraoui, F., Balikhin, M. A., Belmont, G., Pinon, J. L., Rezeau, L., Alleyne, H., Cornilleau-Wehrlin, N., and Andŕe, M.: A comparison of wave mode identification techniques, Ann. Geophys., 22, 3021-3032, 2004, http://www.ann-geophys.net/22/3021/2004/.
48. Weimer, D. R. and King, J. H.: Improved calculations of interplanetary magnetic field phase front angles and propagation time delays, J. Geophys. Res., 113, A01105, doi:10.1029/ 2007JA012452, 2008.