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  2. Numerical model of the Solar System - Wikipedia

    en.wikipedia.org/wiki/Numerical_model_of_the...

    One starts with a high accuracy value for the position (x, y, z) and the velocity (v x, v y, v z) for each of the bodies involved. When also the mass of each body is known, the acceleration (a x, a y, a z) can be calculated from Newton's Law of Gravitation. Each body attracts each other body, the total acceleration being the sum of all these ...

  3. Kepler's laws of planetary motion - Wikipedia

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

    This means that the acceleration vector ¨ of any planet obeying Kepler's first and second law satisfies the inverse square law ¨ = ^ where = is a constant, and ^ is the unit vector pointing from the Sun towards the planet, and is the distance between the planet and the Sun. Since mean motion = where is the period, according to Kepler's third ...

  4. Celestial mechanics - Wikipedia

    en.wikipedia.org/wiki/Celestial_mechanics

    The motion of these objects is usually calculated from Newton's laws of motion and the law of universal gravitation. Orbital mechanics is a core discipline within space-mission design and control. Celestial mechanics treats more broadly the orbital dynamics of systems under the influence of gravity , including both spacecraft and natural ...

  5. Deferent and epicycle - Wikipedia

    en.wikipedia.org/wiki/Deferent_and_epicycle

    Each night the planet appeared to lag a little behind the stars, in what is called prograde motion. Near opposition , the planet would appear to reverse and move through the night sky faster than the stars for a time in retrograde motion before reversing again and resuming prograde.

  6. Solar System - Wikipedia

    en.wikipedia.org/wiki/Solar_System

    Animations of the Solar System's inner planets orbiting. Each frame represents 2 days of motion. Animations of the Solar System's outer planets orbiting. This animation is 100 times faster than the inner planet animation. The planets and other large objects in orbit around the Sun lie near the plane of Earth's orbit, known as the ecliptic ...

  7. Orbital eccentricity - Wikipedia

    en.wikipedia.org/wiki/Orbital_eccentricity

    The table lists the values for all planets and dwarf planets, and selected asteroids, comets, and moons. Mercury has the greatest orbital eccentricity of any planet in the Solar System (e = 0.2056), followed by Mars of 0.093 4. Such eccentricity is sufficient for Mercury to receive twice as much solar irradiation at perihelion compared to aphelion.

  8. Orbital elements - Wikipedia

    en.wikipedia.org/wiki/Orbital_elements

    The traditional orbital elements are the six Keplerian elements, after Johannes Kepler and his laws of planetary motion. When viewed from an inertial frame, two orbiting bodies trace out distinct trajectories. Each of these trajectories has its focus at the common center of mass. When viewed from a non-inertial frame centered on one of the ...

  9. Johannes Kepler - Wikipedia

    en.wikipedia.org/wiki/Johannes_Kepler

    By ordering the solids selectively—octahedron, icosahedron, dodecahedron, tetrahedron, cube—Kepler found that the spheres could be placed at intervals corresponding to the relative sizes of each planet's path, assuming the planets circle the Sun. Kepler also found a formula relating the size of each planet's orb to the length of its orbital ...

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