Gravitation / Satellite Math (5)

Question 1

Newtons universal law of gravitation (FS)

Answer 1

• Force = G(m1*m2)/d^2

Question 2

Gravity with altitude

Answer 2

• g = G( m(e )/ (r( e) + h)^2))
  where G is grav constant
  where (e) is earth
  where h is height

Question 3

Gravity (FS)

Answer 3

• g = GM/r^2

Question 4

Apparent weight

Answer 4

• Normal
  ○ sigmaF = ma
  
  • Upwards
    ○ sigmaF = mg + ma
  • Downwards
    ○ sigmaF = -mg

Question 5

Satellite math
- Orbital speed
- Weight
- Stable orbit condition

Answer 5

• Orbital speed
  ○ v = 2pir/t
  • Weight
    ○ F(g) = G((M(e )*m)/r^2)
    where small m is mass of object
  • Stable orbit condition
    4pi^2/GM(e ) = T^2/r^3