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MET 4994 Remote Sensing:
Radar and Satellite Meteorology
MET 5994 Remote Sensing in Meteorology
Lecture 25:
March 23, 2011
Satellite Obits
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View Full Document Newton’s Law of Universal Gravitation
12
2
Gm m
F
r
Where G is the universal gravitation constant
The force of attraction between two point mass m
1
and m
2
separated by a distance r is
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View Full Document Circular Satellite Orbit
2
2
e
Gm m
mv
rr
Where v is the orbital
velocity of the
satellite.
mv
2
/r is the
centripital force required
to keep the satellite in a
circular orbit.
Assuming that the earth is a sphere, we can treat
it as a point mass.
Radius for a Satellite in
Geostationary/Geosynchronous Orbit
2
T
Where T is the period of the satellite. Therefore,
The satellite in geostationary orbit has the same
angular velocity as the earth. The angular velocity
of a satellite is,
2
r
T
v
3
2
e
Gm
r
Inserting the angular velocity of the Earth,
r=42,164 km, or 35,786 km above the Earth’s
surface.
2
23
4
e
Tr
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View Full DocumentEllipse Geometry
2
(1
)
1
cos
a
r
a=Semimajor axis;
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This note was uploaded on 09/13/2011 for the course MET 4994 taught by Professor Haijan during the Spring '11 term at FIU.
 Spring '11
 Haijan

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