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<div id='write' class = 'is-node'><h2><a name='header-c1' class='md-header-anchor '></a>Obtaining plasma density from RBSP (Van Allen Probes)</h2><p>There are two instruments that provides the plasma density. </p><h4><a name='header-c46' class='md-header-anchor '></a>EMPHASIS</h4><p>The first is EMPHASIS which detects the upper hybrid resonance frequency. A paper was published titled <em>Electron densities inferred from plasma wave spectra obtained by the Waves instrument on Van Allen Probes</em>. </p><h4><a name='header-c190' class='md-header-anchor '></a>Equations</h4><p>The upper hybrid resonance frequency <span class="MathJax_Preview"></span><span class="MathJax_SVG" id="MathJax-Element-99-Frame" tabindex="-1" style="font-size: 100%; display: inline-block;"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="15.931ex" height="3.044ex" viewBox="0 -906.7 6859.3 1310.7" role="img" focusable="false" style="vertical-align: -0.938ex;"><defs><path stroke-width="1" id="E184-MJMATHI-3C9" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 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102Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMATHI-3C9" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMAIN-32" x="880" y="488"></use><g transform="translate(622,-327)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMATHI-75" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMATHI-68" x="572" y="0"></use></g><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMAIN-3D" x="1812" y="0"></use><g transform="translate(2869,0)"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMATHI-3C9" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMAIN-32" x="880" y="488"></use><g transform="translate(622,-150)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMATHI-63" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMATHI-65" x="433" y="0"></use></g></g><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMAIN-2B" x="4450" y="0"></use><g transform="translate(5450,0)"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMATHI-3C9" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMAIN-32" x="880" y="488"></use><g transform="translate(622,-150)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMATHI-70" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E184-MJMATHI-65" x="503" y="0"></use></g></g></g></svg></span><script type="math/tex" id="MathJax-Element-99">\omega_{uh}^2=\omega_{ce}^2+\omega_{pe}^2 </script>. </p><p>Conversion from real frequency <span class="MathJax_Preview"></span><span class="MathJax_SVG" id="MathJax-Element-149-Frame" tabindex="-1" style="font-size: 100%; display: inline-block;"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="9.212ex" height="3.395ex" viewBox="0 -1007.2 3966.3 1461.5" role="img" focusable="false" style="vertical-align: -1.055ex;"><defs><path stroke-width="1" id="E279-MJMATHI-66" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path><path stroke-width="1" id="E279-MJMATHI-70" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102Z"></path><path stroke-width="1" id="E279-MJMATHI-65" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path><path stroke-width="1" id="E279-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path><path stroke-width="1" id="E279-MJMATHI-3C9" d="M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z"></path><path stroke-width="1" id="E279-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path stroke-width="1" id="E279-MJMATHI-3C0" d="M132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E279-MJMATHI-66" x="0" y="0"></use><g transform="translate(490,-150)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E279-MJMATHI-70" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E279-MJMATHI-65" x="503" y="0"></use></g><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E279-MJMAIN-3D" x="1554" y="0"></use><g transform="translate(2332,0)"><g transform="translate(397,0)"><rect stroke="none" width="1115" height="60" x="0" y="220"></rect><g transform="translate(60,607)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E279-MJMATHI-3C9" x="0" y="0"></use><g transform="translate(440,-107)"><use transform="scale(0.5)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E279-MJMATHI-70" x="0" y="0"></use><use transform="scale(0.5)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E279-MJMATHI-65" x="503" y="0"></use></g></g><g transform="translate(178,-376)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E279-MJMAIN-32" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E279-MJMATHI-3C0" x="500" y="0"></use></g></g></g></g></svg></span><script type="math/tex" id="MathJax-Element-149">f_{pe}=\frac{\omega_{pe}}{2\pi}</script>,</p><p>we get <span class="MathJax_Preview"></span><span class="MathJax_SVG" id="MathJax-Element-181-Frame" tabindex="-1" style="font-size: 100%; display: inline-block;"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="15.011ex" height="3.044ex" viewBox="0 -906.7 6463.3 1310.7" role="img" focusable="false" style="vertical-align: -0.938ex;"><defs><path stroke-width="1" id="E335-MJMATHI-66" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path><path stroke-width="1" id="E335-MJMAIN-32" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path stroke-width="1" id="E335-MJMATHI-75" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path><path stroke-width="1" id="E335-MJMATHI-68" d="M137 683Q138 683 209 688T282 694Q294 694 294 685Q294 674 258 534Q220 386 220 383Q220 381 227 388Q288 442 357 442Q411 442 444 415T478 336Q478 285 440 178T402 50Q403 36 407 31T422 26Q450 26 474 56T513 138Q516 149 519 151T535 153Q555 153 555 145Q555 144 551 130Q535 71 500 33Q466 -10 419 -10H414Q367 -10 346 17T325 74Q325 90 361 192T398 345Q398 404 354 404H349Q266 404 205 306L198 293L164 158Q132 28 127 16Q114 -11 83 -11Q69 -11 59 -2T48 16Q48 30 121 320L195 616Q195 629 188 632T149 637H128Q122 643 122 645T124 664Q129 683 137 683Z"></path><path stroke-width="1" id="E335-MJMAIN-3D" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path><path stroke-width="1" id="E335-MJMATHI-63" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path><path stroke-width="1" id="E335-MJMATHI-65" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path><path stroke-width="1" id="E335-MJMAIN-2B" d="M56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250Z"></path><path stroke-width="1" id="E335-MJMATHI-70" d="M23 287Q24 290 25 295T30 317T40 348T55 381T75 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xlink:href="#E335-MJMAIN-32" x="804" y="488"></use><g transform="translate(490,-327)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMATHI-75" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMATHI-68" x="572" y="0"></use></g><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMAIN-3D" x="1680" y="0"></use><g transform="translate(2737,0)"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMATHI-66" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMAIN-32" x="804" y="488"></use><g transform="translate(490,-150)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMATHI-63" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMATHI-65" x="433" y="0"></use></g></g><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMAIN-2B" x="4186" y="0"></use><g transform="translate(5186,0)"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMATHI-66" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMAIN-32" x="804" y="488"></use><g transform="translate(490,-150)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMATHI-70" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E335-MJMATHI-65" x="503" y="0"></use></g></g></g></svg></span><script type="math/tex" id="MathJax-Element-181">f_{uh}^2=f_{ce}^2+f_{pe}^2</script>.</p><p>we know that <span class="MathJax_Preview"></span><span class="MathJax_SVG" id="MathJax-Element-184-Frame" tabindex="-1" style="font-size: 100%; display: inline-block;"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="11.331ex" height="2.577ex" 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xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E339-MJMAIN-7C" x="4599" y="0"></use></g></svg></span><script type="math/tex" id="MathJax-Element-184">f_{ce}=28|B|</script>, where <span class="MathJax_Preview"></span><span class="MathJax_SVG" id="MathJax-Element-186-Frame" tabindex="-1" style="font-size: 100%; display: inline-block;"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="2.85ex" height="2.577ex" viewBox="0 -806.1 1226.9 1109.7" role="img" focusable="false" style="vertical-align: -0.705ex;"><defs><path stroke-width="1" id="E341-MJMATHI-66" d="M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z"></path><path stroke-width="1" id="E341-MJMATHI-63" d="M34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159Z"></path><path stroke-width="1" id="E341-MJMATHI-65" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></defs><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E341-MJMATHI-66" x="0" y="0"></use><g transform="translate(490,-150)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E341-MJMATHI-63" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E341-MJMATHI-65" x="433" y="0"></use></g></g></svg></span><script type="math/tex" id="MathJax-Element-186">f_{ce}</script> is measured in hertz and |B| is measured by magnetometer in nanotesla nT. </p><p>From the above and substituting appropriate values for the electron charge and mass, we get,</p><p><span class="MathJax_Preview"></span><span class="MathJax_SVG" id="MathJax-Element-208-Frame" tabindex="-1" style="font-size: 100%; display: 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xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMATHI-65" x="849" y="-213"></use><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMAIN-3D" x="1308" y="0"></use><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMAIN-28" x="2364" y="0"></use><g transform="translate(2753,0)"><g transform="translate(120,0)"><rect stroke="none" width="1535" height="60" x="0" y="220"></rect><g transform="translate(316,672)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMATHI-66" x="0" y="0"></use><g transform="translate(346,-171)"><use transform="scale(0.5)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMATHI-70" x="0" y="0"></use><use transform="scale(0.5)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMATHI-65" x="503" y="0"></use></g></g><g transform="translate(60,-376)"><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMAIN-38"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMAIN-39" x="500" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMAIN-38" x="1001" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMAIN-30" x="1501" y="0"></use></g></g></g><g transform="translate(4529,0)"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMAIN-29" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E384-MJMAIN-32" x="550" y="513"></use></g></g></svg></span><script type="math/tex" id="MathJax-Element-208">n_{e}=(\frac{f_{pe}}{8980})^2</script>, or </p><p><span class="MathJax_Preview"></span><span class="MathJax_SVG" id="MathJax-Element-247-Frame" tabindex="-1" style="font-size: 100%; display: inline-block;"><svg xmlns:xlink="http://www.w3.org/1999/xlink" 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xlink:href="#E526-MJMATHI-6E" x="0" y="0"></use><use transform="scale(0.707)" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#E526-MJMATHI-65" x="849" y="-213"></use></g></g></g></g></svg></span><script type="math/tex" id="MathJax-Element-281">f_{uh}=\sqrt{f_{ce}^2+8980^2n_{e}}=\sqrt{28^2B^2+8980^2n_{e}}</script>.</p><h4><a name='header-c61' class='md-header-anchor '></a>EFW</h4><p>Plasma density inferred from spacecraft potential. </p><h4><a name='header-c99' class='md-header-anchor '></a>Problem</h4><p>A problem exists in the plasma density inferred from the spacecraft potential: unnecessary flags. Scott was asking Aaron to remove those flags. However, it will only be available till next month. </p><h4><a name='header-c105' class='md-header-anchor '></a>Idea</h4><p>Using neural network to find the upper hybrid frequency. This solution was already published by Zhelavskaya titled <em>Automated Determination of Electron Density from Electric Field Measurements on the Van Allen Probes Spacecraft</em>. </p><h4><a name='header-c126' class='md-header-anchor '></a>Workflow</h4><ul class='task-list'><li class='task-list-item task-list-not-done' ><input type='checkbox' disabled='disabled' ></input><p>Read HFR from EMPHASIS. </p><ul class='task-list'><li class='task-list-item task-list-not-done' ><input type='checkbox' disabled='disabled' ></input><p>Read WFR from EMPHASIS. </p></li></ul></li><li class='task-list-item task-list-not-done' ><input type='checkbox' disabled='disabled' ></input><p>Read plasma density from EMPHASIS. </p></li><li class='task-list-item task-list-not-done' ><input type='checkbox' disabled='disabled' ></input><p>Read spacecraft potential from EFW.</p></li><li class='task-list-item task-list-not-done' ><input type='checkbox' disabled='disabled' ></input><p>Read plasma density from EFW. </p></li><li class='task-list-item task-list-not-done' ><input type='checkbox' disabled='disabled' ></input><p>Read magnetic field data. </p></li><li class='task-list-item task-list-not-done' ><input type='checkbox' disabled='disabled' ></input><p></p></li></ul><p></p><p></p></div>
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