By Gerhard Lang
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Extra resources for Arado Ar 240
How can we describe the flight path or trajectory of the spacecraft? In this flight, the spacecraft experiences gravitational attraction from all the bodies of the universe plus non-gravitational forces (to be discussed in Chap. 5). This is a complicated problem. We will simplify the mathematical model to get the most important features and then add perturbations to the nominal or reference trajectory in Chap. 5. R. 2 Two-Body Problem Derivation of the Equation of Motion: The Mathematical Model We develop the equation of motion (the math model) for a satellite experiencing gravitational forces only.
The transit method looks for dips in a star’s brightness as orbiting planets pass by and block the light from the star. 3 Central Force Motion Another Simplifying Assumption For the problem of a spacecraft moving about a planet or a planet moving about the sun, one mass is much greater than the other. Hence, we assume 4. m2 > > m1. Then the motion of m1 is essentially the motion of a particle in an inertially fixed field centered at m2 because rc ¼ r2. Strictly speaking, this model is the “relative 2-body problem,” because we solve for the motion of the satellite relative to the central body.
Objective: Global coverage 3. : A geosynchronous orbit (GEO) is an earth orbit that has a period equal to one sidereal day. : A geostationary orbit (GEO) is a circular, geosynchronous orbit in the earth’s equatorial plane. A spacecraft that is in a geostationary orbit will hover over a fixed point on the earth’s equator. 4. Medium Earth Orbit (MEO) Examples: GPS (aka NAVSTAR) 24 active satellites in four planes of six satellites each Glonass (Russian System) 24 satellites with 8 satellites in each of 3 planes Galileo (European System) In development 5.