STAMMS Conference Meeting, Orleans, France May 2003 R. L. Mutel, D. A. Gurnett, I. Christopher, M. Schlax University of Iowa Spatial and Temporal Properties.

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STAMMS Conference Meeting, Orleans, France May 2003 R. L. Mutel, D. A. Gurnett, I. Christopher, M. Schlax University of Iowa Spatial and Temporal Properties of AKR Burst Emission Derived From WBD VLBI Studies

STAMMS Meeting, Orleans, May 2003 University of Iowa Wideband Data Plasma Wave Instrument (WBD) Identical WBD instruments are mounted on all four spacecraft. Single dipole antenna used. Real-time downlink of 220 kb/s to the NASA Deep Space Network (DSN). (One DSN antenna per S/C!) DSN provides real-time time stamps (accuracy  10  s). AKR studies use 125, 250, and 500 KHz bands, 10 KHZ bandwidth, 37  s sampling time. High frequency/time resolution capability of WBD is the primary characteristic that makes WBD unique from the other Cluster wave experiments, which operate at much lower data rates.

STAMMS Meeting, Orleans, May 2003 Example of WBD Dynamic Spectra ( KHz, 30 sec), S/C separation ~300 km Auroral Kilometric Radiation (AKR) Bursts Spacecraft 1 3 4

STAMMS Meeting, Orleans, May 2003 Example of shadowing by plasmasphere at low magnetic latitude (15 May 2001) m = -53° m = -38° m = -32°

STAMMS Meeting, Orleans, May 2003 Dynamic Spectra of Common AKR Bursts AKR bursts have KHz bandwdth (courtesy R. Anderson, GEOTAIL) Cluster spectra (10 KHz bandwidth)

STAMMS Meeting, Orleans, May 2003 VLBI Source Location Algorithm: Differential delay measurement

STAMMS Meeting, Orleans, May 2003 Sample Dynamic Spectrum, Waveform and Cross-correlation Waveforms from each Cluster WBD receiver for AKR burst shown at left Peak is fit with Gaussian, delay uncertainty  ~ 0.3 ms

STAMMS Meeting, Orleans, May 2003 A uniform 3-d grid of points is constructed centered on the Earth with spacing 0.1 Re and dimension 8 Re on each side (512,000 pts). The propagation time to each satellite is computed from each grid point. Differential delays are then computed for each baseline and compared with the observed delays, as measured by cross- correlating the waveforms from each pair of spacecraft AKR Burst Position search algorithm

STAMMS Meeting, Orleans, May 2003 VLBI position uncertainty calculation Delay uncertainties in plane  and parallel to line of sight: Typical uncertainty in  plane: Typical uncertainty in plane:

STAMMS Meeting, Orleans, May 2003 Uncertainty mapped to Earth (CGM coordinates) Uncertainty ~ 500 km km Uncertainty ~ 200 km -400 km

STAMMS Meeting, Orleans, May 2003 Refractive effects effect on AKR burst location determination unimportant for S/C magnetic latitudes > 40° (plasmasphere model Gallagher et al.2000)

STAMMS Meeting, Orleans, May 2003 Refractive Ray tracing corrections

STAMMS Meeting, Orleans, May 2003 AKR Bursts: Locus of Allowed Locations Locus of allowed locations for AKR burst on 10 July 2002 at 08:47:02 and illustrated at right. The top panels show the unconstrained solution of all allowed points (left is oblique view; right view is from spacecraft). The lower panel shows the constrained solution assuming the AKR emission arises from a radius distance from Earth consistent with the observed frequency being identified with the electron gyrofrequency. A model auroral oval is shown for reference.

STAMMS Meeting, Orleans, May 2003 AKR Burst Locations: The movie

STAMMS Meeting, Orleans, May 2003 Summary of 4 Spacecraft VLBI Epochs (Fully Analyzed)

STAMMS Meeting, Orleans, May 2003 Histogram of AKR Burst Locations CGM coordinates, 5 epochs Southern hemisphere only

STAMMS Meeting, Orleans, May 2003 November 9 Locations: Varying Perspectives (Animation)

STAMMS Meeting, Orleans, May 2003 Nov 9 :The Movie Mapped onto CGM coordinates

STAMMS Meeting, Orleans, May 2003 Observed distribution of AKR bursts

STAMMS Meeting, Orleans, May 2003 AKR Burst locations vs.

STAMMS Meeting, Orleans, May 2003 Example of position uncertainty including depth-of-field (9 Oct 02) Blue: f gyro – 10% Red: f gyro + 10%

STAMMS Meeting, Orleans, May 2003 Example of AKR Burst location with Uncertainties projected into 100km Altitude, CGM coordinates (29 Dec 02)

STAMMS Meeting, Orleans, May 2003 Polar Average Images of Northern Auroral by month (Liou et al. 1997) Evening Peak ~22h MLT April -May Day peak at ~15h MLT June -July

STAMMS Meeting, Orleans, May 2003

AKR burst mean location drift: example1 19 Aug 2002, Southern hemisphere

STAMMS Meeting, Orleans, May 2003 AKR burst mean location drift: example2 22 Jan 2003, N hemisphere