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  2. Kepler's laws of planetary motion - Wikipedia

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

    Newton defined the force acting on a planet to be the product of its mass and the acceleration (see Newton's laws of motion). So: Every planet is attracted towards the Sun. The force acting on a planet is directly proportional to the mass of the planet and is inversely proportional to the square of its distance from the Sun.

  3. 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 ...

  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. Orrery - Wikipedia

    en.wikipedia.org/wiki/Orrery

    Orreries can range widely in size from hand-held to room-sized. An orrery is used to demonstrate the motion of the planets, while a mechanical device used to predict eclipses and transits is called an astrarium. An orrery should properly include the Sun, the Earth and the Moon (plus optionally other planets).

  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. Two-body problem in general relativity - Wikipedia

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

    The two-body problem in general relativity (or relativistic two-body problem) is the determination of the motion and gravitational field of two bodies as described by the field equations of general relativity. Solving the Kepler problem is essential to calculate the bending of light by gravity and the motion of a planet orbiting its sun

  8. Orbit - Wikipedia

    en.wikipedia.org/wiki/Orbit

    An animation showing a low eccentricity orbit (near-circle, in red), and a high eccentricity orbit (ellipse, in purple). In celestial mechanics, an orbit (also known as orbital revolution) is the curved trajectory of an object [1] such as the trajectory of a planet around a star, or of a natural satellite around a planet, or of an artificial satellite around an object or position in space such ...

  9. 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.

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