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Lecture 3 Orbital Parameters

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Orbital Mechanics
Jeremy Bajado
Kepler’s Law
Kepler’s laws of planetary motion, in astronomy and classical physics, laws describing the
motions of the planets in the solar system. They were derived by the German astronomer Johannes
Kepler, whose analysis of the observations of the 16th-century Danish astronomer Tycho Brahe enabled
him to announce his first two laws in the year 1609 and a third law nearly a decade later, in 1618. Kepler
himself never numbered these laws or specially distinguished them from his other discoveries.
Source: https://www.britannica.com/science/Keplers-laws-of-planetary-motion
Kepler’s Law
(1) planets move in elliptical orbits with the Sun as a focus,
(2) a planet covers the same area of space in the same amount of time no
matter where it is in its orbit, and
(3) a planet’s orbital period is proportional to the size of its orbit (its semimajor axis).
Source: NASA Solar System Exploration
Kepler’s Law
Orbital Parameters
Calculating the Velocity of a Circular Orbit
Calculating the Orbital Period of the Satellite
Calculating the Orbital Height of the Satellite
Geosynchronous and Geostationary Orbit
Circular Orbit Sample Problems
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