Method for Predicting the Liquid-Sloshing Characteristics of a Microsatellite Propulsion System

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">No.</td><td class="align_center">Technical specification</td><td class="align_center">Design value</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">1</td><td class="align_center">Rolling angular velocity/(°/s)</td><td class="align_center"><svg height="14.8173pt" id="M87" style="vertical-align:-5.52897pt" version="1.1" viewbox="-0.0498162 -9.28833 28.5468 14.8173" width="28.5468pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M162 -163V703H101V-163H162Z"></path></g><g transform="matrix(.013,0,0,-0.013,3.419,0)"><path d="M600 0V24L339 665L311 657L43 24V0H600ZM497 50H107L303 539L497 50Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.746,0)"><path d="M615 290C615 392 563 448 529 448C511 448 491 441 484 434L483 425C518 400 546 349 546 273C546 158 504 46 417 46C381 46 356 77 356 142C356 184 380 293 392 334L387 340L307 323C305 288 296 228 287 188C265 94 221 52 180 52C144 52 112 89 112 171C112 278 164 372 241 430L226 454C106 394 23 288 23 155C23 40 79 -12 139 -12C184 -12 245 32 285 85C292 31 322 -12 376 -12C423 -12 470 18 501 45C570 104 615 184 615 290Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,19.715,3.132)"><path d="M493 373C493 420 472 451 445 451C421 451 400 435 400 410C400 404 402 400 406 394S417 371 417 350C417 259 317 128 256 55H254C260 126 256 262 238 340C219 424 194 451 163 451C128 451 78 413 24 329L52 302C89 353 106 370 121 370C129 370 137 363 147 336C186 231 196 73 184 -16C152 -88 120 -192 112 -238L130 -257C157 -253 213 -227 231 -213C231 -187 234 -77 240 -23C251 -6 277 30 309 69C424 208 493 299 493 373Z"></path></g><g transform="matrix(.013,0,0,-0.013,24.935,0)"><path d="M162 -163V703H101V-163H162Z"></path></g></svg> ≤ 2</td></tr><tr><td class="align_left">2</td><td class="align_center">Pitch velocity/(°/s)</td><td class="align_center"><svg height="14.8173pt" id="M88" style="vertical-align:-5.52897pt" version="1.1" viewbox="-0.0498162 -9.28833 29.0858 14.8173" width="29.0858pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M162 -163V703H101V-163H162Z"></path></g><g transform="matrix(.013,0,0,-0.013,3.419,0)"><path d="M600 0V24L339 665L311 657L43 24V0H600ZM497 50H107L303 539L497 50Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.746,0)"><path d="M615 290C615 392 563 448 529 448C511 448 491 441 484 434L483 425C518 400 546 349 546 273C546 158 504 46 417 46C381 46 356 77 356 142C356 184 380 293 392 334L387 340L307 323C305 288 296 228 287 188C265 94 221 52 180 52C144 52 112 89 112 171C112 278 164 372 241 430L226 454C106 394 23 288 23 155C23 40 79 -12 139 -12C184 -12 245 32 285 85C292 31 322 -12 376 -12C423 -12 470 18 501 45C570 104 615 184 615 290Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,19.715,3.132)"><path d="M552 243C552 372 474 431 385 468C378 471 378 492 382 510L419 675L401 683L345 637L224 54C173 71 118 128 118 218C118 323 174 382 270 423L255 458C130 420 24 339 24 204C24 97 93 14 213 -8L188 -131C170 -220 197 -250 217 -257L224 -254L278 -7C427 -3 552 98 552 243ZM478 228C478 124 408 37 287 40L363 405C401 395 478 336 478 228Z"></path></g><g transform="matrix(.013,0,0,-0.013,25.474,0)"><path d="M162 -163V703H101V-163H162Z"></path></g></svg> ≤ 3</td></tr><tr><td class="align_left">3</td><td class="align_center">Yaw velocity/(°/s)</td><td class="align_center"><svg height="14.8173pt" id="M89" style="vertical-align:-5.52897pt" version="1.1" viewbox="-0.0498162 -9.28833 29.241 14.8173" width="29.241pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M162 -163V703H101V-163H162Z"></path></g><g transform="matrix(.013,0,0,-0.013,3.419,0)"><path d="M600 0V24L339 665L311 657L43 24V0H600ZM497 50H107L303 539L497 50Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.746,0)"><path d="M615 290C615 392 563 448 529 448C511 448 491 441 484 434L483 425C518 400 546 349 546 273C546 158 504 46 417 46C381 46 356 77 356 142C356 184 380 293 392 334L387 340L307 323C305 288 296 228 287 188C265 94 221 52 180 52C144 52 112 89 112 171C112 278 164 372 241 430L226 454C106 394 23 288 23 155C23 40 79 -12 139 -12C184 -12 245 32 285 85C292 31 322 -12 376 -12C423 -12 470 18 501 45C570 104 615 184 615 290Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,19.715,3.132)"><path d="M569 272C569 396 502 451 440 451C377 451 308 398 280 296C262 229 239 121 223 41C163 58 116 110 116 203C116 313 187 386 283 428L269 460C133 413 24 332 24 189C24 85 87 3 215 -10C187 -153 174 -212 164 -249L173 -257C208 -253 245 -243 260 -214L295 -5C427 6 569 118 569 272ZM493 270C493 139 401 42 302 37L357 327C369 388 390 405 412 405C438 405 493 369 493 270Z"></path></g><g transform="matrix(.013,0,0,-0.013,25.63,0)"><path d="M162 -163V703H101V-163H162Z"></path></g></svg> ≤ 3</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Technical indices of attitude angular velocity for microsatellite.</div>

International Journal of Aerospace Engineering

tab5

Table 5

Table 5: Method for Predicting the Liquid-Sloshing Characteristics of a Microsatellite Propulsion System 