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  2. Kepler's laws of planetary motion - Wikipedia

    en.wikipedia.org/wiki/Kepler's_laws_of_planetary...

    In astronomy, Kepler's laws of planetary motion, published by Johannes Kepler in 1609 (except the third law, and was fully published in 1619), describe the orbits of planets around the Sun. These laws replaced circular orbits and epicycles in the heliocentric theory of Nicolaus Copernicus with elliptical orbits and explained how planetary ...

  3. Johannes Kepler - Wikipedia

    en.wikipedia.org/wiki/Johannes_Kepler

    Finding that an elliptical orbit fit the Mars data (the Vicarious Hypothesis), Kepler immediately concluded that all planets move in ellipses, with the Sun at one focus—his first law of planetary motion. Because he employed no calculating assistants, he did not extend the mathematical analysis beyond Mars.

  4. Harmonices Mundi - Wikipedia

    en.wikipedia.org/wiki/Harmonices_Mundi

    This is immediately followed by Kepler's third law of planetary motion, which shows a constant proportionality between the cube of the semi-major axis of a planet's orbit and the square of the time of its orbital period. [10] Kepler's previous book, Astronomia nova, related the discovery of the first two principles now known as Kepler's laws.

  5. Johannes Kepler thought he sketched Mercury orbiting across ...

    www.aol.com/news/johannes-kepler-1607-sketches...

    Scientists analyzed famed astronomer Johannes Kepler’s 1607 sketches of sunspots to solve a mystery about the sun’s solar cycle that has persisted for centuries.

  6. Kepler orbit - Wikipedia

    en.wikipedia.org/wiki/Kepler_orbit

    In celestial mechanics, a Kepler orbit (or Keplerian orbit, named after the German astronomer Johannes Kepler) is the motion of one body relative to another, as an ellipse, parabola, or hyperbola, which forms a two-dimensional orbital plane in three-dimensional space. A Kepler orbit can also form a straight line.

  7. Two-body problem in general relativity - Wikipedia

    en.wikipedia.org/wiki/Two-body_problem_in...

    The orbit of every planet is an ellipse with the Sun at one of the two foci. A line joining a planet and the Sun sweeps out equal areas during equal intervals of time. The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit. Kepler published the first two laws in 1609 and the third ...

  8. Deferent and epicycle - Wikipedia

    en.wikipedia.org/wiki/Deferent_and_epicycle

    What was needed was Kepler's elliptical-orbit theory, not published until 1609 and 1619. Copernicus' work provided explanations for phenomena like retrograde motion, but really did not prove that the planets actually orbited the Sun. The deferent (O) is offset from the Earth (T). P is the center of the epicycle of the Sun S.

  9. Celestial spheres - Wikipedia

    en.wikipedia.org/wiki/Celestial_spheres

    The eccentricity of each planet's orbit thereby defined the radii of the inner and outer limits of its celestial sphere and thus its thickness. In Kepler's celestial mechanics, the cause of planetary motion became the rotating Sun, itself rotated by its own motive soul. [68]