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Aeronautics 1110x 2d-slides

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Aeronautics 1110x 2d-slides

Aeronautics 1110x 2d-slides

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  • 1. Prof.  dr.  ir.  Jacco  Hoekstra   Geopoten'al  &  geometric  al'tude   Introduc)on  to  Aeronau)cal  Engineering  
  • 2. The  hydrosta'c  equa'on   Geopoten'al  al'tude   Assump5on:  g0  =  constant   p + Δp m· g0 p Δh Area A dp  =  -­‐ρg0dh   p + Δp m· g p Δhg Area A dp  =  -­‐ρgdhg   Geometric  al'tude   g  varies  
  • 3. Geopoten'al  &  geometric  al'tude   -­‐  We  use  geopoten5al  al5tude  as  default(easier)   -­‐  Nota5on:      h  =  geopoten'al  al'tude  (default  but  wrong)          hg    =  geometric  al5tude  (real  al5tude)   -­‐  What  is  the  difference?  How  to  convert?   -­‐  Let’s  derive  the  rela5on….  
  • 4. So  what  is  the  effect  of  our  approxima'on?   e G e G R h h R h = + 6378 20 e G R km h km = = Let’s  try  with:  
  • 5. So  what  is  the  effect  of  our  approxima'on?   e G e G R h h R h = + 6378 20 e G R km h km = = Let’s  try  with:   6378000 20000 19 937.5 6378000 20000 0.3 % h m Error = ⋅ = + =
  • 6. Geopoten'al  &  geometric  al'tude