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- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/06%3A_General_Planar_Motion/6.04%3A_Kepler's_LawsThe fact that the planets move in elliptical orbits was first discovered by Kepler, based on observational data alone (he didn’t have the benefit, as we do, of living after Newton and thus knowing abo...The fact that the planets move in elliptical orbits was first discovered by Kepler, based on observational data alone (he didn’t have the benefit, as we do, of living after Newton and thus knowing about Newton’s law of gravity). Kepler summarized his observational facts in three laws, which we can, with the benefit of hindsight, prove to be corollaries of Newton’s laws.
- https://phys.libretexts.org/Courses/Tuskegee_University/Algebra_Based_Physics_I/05%3A_Uniform_Circular_Motion_and_Gravitation/5.07%3A_Satellites_and_Keplers_Laws-_An_Argument_for_Simplicitythere is a classical set of three laws, called Kepler’s laws of planetary motion, that describe the orbits of all bodies satisfying the two previous conditions (not just planets in our solar system). ...there is a classical set of three laws, called Kepler’s laws of planetary motion, that describe the orbits of all bodies satisfying the two previous conditions (not just planets in our solar system). These descriptive laws are named for the German astronomer Johannes Kepler, who devised them after careful study (over some 20 years) of a large amount of meticulously recorded observations of planetary motion done by Tycho Brahe.
- https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/06%3A_Uniform_Circular_Motion_and_Gravitation/6.06%3A_Satellites_and_Keplers_Laws-_An_Argument_for_Simplicitythere is a classical set of three laws, called Kepler’s laws of planetary motion, that describe the orbits of all bodies satisfying the two previous conditions (not just planets in our solar system). ...there is a classical set of three laws, called Kepler’s laws of planetary motion, that describe the orbits of all bodies satisfying the two previous conditions (not just planets in our solar system). These descriptive laws are named for the German astronomer Johannes Kepler, who devised them after careful study (over some 20 years) of a large amount of meticulously recorded observations of planetary motion done by Tycho Brahe.
- https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Supplemental_Modules_(Astronomy_and_Cosmology)/Cosmology/Astrophysics_(Richmond)/10%3A_Elliptical_OrbitsThanks to fast, cheap computers, we members of the modern world can simply plug some initial conditions into a computer program and integrate the motion of the bodies numerically to follow their motio...Thanks to fast, cheap computers, we members of the modern world can simply plug some initial conditions into a computer program and integrate the motion of the bodies numerically to follow their motion as a function of time. If the orbit is circular, then this is easy: the fraction of a complete orbit is equal to the fraction of a complete period which has elapsed since the last perihelion passage.
