Prof.	
  dr.	
  ir.	
  Jacco	
  Hoekstra	
  
Geopoten'al	
  &	
  geometric	
  al'tude	
  
Introduc)on	
  to	
  Aeronau)cal...
The	
  hydrosta'c	
  equa'on	
  
Geopoten'al	
  al'tude	
  
Assump5on:	
  g0	
  =	
  constant	
  
p + Δp
m· g0
p
Δh
Area
A...
Geopoten'al	
  &	
  geometric	
  al'tude	
  
-­‐	
  We	
  use	
  geopoten5al	
  al5tude	
  as	
  default(easier)	
  
-­‐	
...
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	
...
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	
...
Geopoten'al	
  &	
  geometric	
  al'tude	
  
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Aeronautics 1110x 2d-slides

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Aeronautics 1110x 2d-slides

  1. 1. Prof.  dr.  ir.  Jacco  Hoekstra   Geopoten'al  &  geometric  al'tude   Introduc)on  to  Aeronau)cal  Engineering  
  2. 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. 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. 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. 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. 6. Geopoten'al  &  geometric  al'tude  
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