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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...

    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.

  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. Orbital mechanics - Wikipedia

    en.wikipedia.org/wiki/Orbital_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 ...

  6. 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 ...

  7. Newton's theorem of revolving orbits - Wikipedia

    en.wikipedia.org/wiki/Newton's_theorem_of...

    Figure 4: All three planets share the same radial motion (cyan circle) but move at different angular speeds. The blue planet feels only an inverse-square force and moves on an ellipse ( k = 1). The green planet moves angularly three times as fast as the blue planet ( k = 3); it completes three orbits for every orbit of the blue planet.

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  9. List of gravitationally rounded objects of the Solar System

    en.wikipedia.org/wiki/List_of_gravitationally...

    According to the IAU's explicit count, there are eight planets in the Solar System; four terrestrial planets (Mercury, Venus, Earth, and Mars) and four giant planets, which can be divided further into two gas giants (Jupiter and Saturn) and two ice giants (Uranus and Neptune). When excluding the Sun, the four giant planets account for more than ...