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  2. Kepler's laws of planetary motion - Wikipedia

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

    This captures the relationship between the distance of planets from the Sun, and their orbital periods. Kepler enunciated in 1619 [ 16 ] this third law in a laborious attempt to determine what he viewed as the " music of the spheres " according to precise laws, and express it in terms of musical notation. [ 25 ]

  3. Orbital mechanics - Wikipedia

    en.wikipedia.org/wiki/Orbital_mechanics

    To escape the Solar System from a location at a distance from the Sun equal to the distance Sun–Earth, but not close to the Earth, requires around 42 km/s velocity, but there will be "partial credit" for the Earth's orbital velocity for spacecraft launched from Earth, if their further acceleration (due to the propulsion system) carries them ...

  4. Orbital period - Wikipedia

    en.wikipedia.org/wiki/Orbital_period

    The orbital period (also revolution period) is the amount of time a given astronomical object takes to complete one orbit around another object. In astronomy , it usually applies to planets or asteroids orbiting the Sun , moons orbiting planets, exoplanets orbiting other stars , or binary stars .

  5. De motu corporum in gyrum - Wikipedia

    en.wikipedia.org/wiki/De_motu_corporum_in_gyrum

    Corollary 1 then points out that the centripetal force is proportional to V 2 /R, where V is the orbital speed and R the circular radius. Corollary 2 shows that, putting this in another way, the centripetal force is proportional to (1/P 2) * R where P is the orbital period.

  6. General relativity - Wikipedia

    en.wikipedia.org/wiki/General_relativity

    Depending on which features of general relativity and quantum theory are accepted unchanged, and on what level changes are introduced, [204] there are numerous other attempts to arrive at a viable theory of quantum gravity, some examples being the lattice theory of gravity based on the Feynman Path Integral approach and Regge calculus, [191 ...

  7. Vis-viva equation - Wikipedia

    en.wikipedia.org/wiki/Vis-viva_equation

    In astrodynamics, the vis-viva equation is one of the equations that model the motion of orbiting bodies.It is the direct result of the principle of conservation of mechanical energy which applies when the only force acting on an object is its own weight which is the gravitational force determined by the product of the mass of the object and the strength of the surrounding gravitational field.

  8. Tests of general relativity - Wikipedia

    en.wikipedia.org/wiki/Tests_of_general_relativity

    where L is the semi-major axis, T is the orbital period, c is the speed of light, and e is the orbital eccentricity (see: Two-body problem in general relativity). The other planets experience perihelion shifts as well, but, since they are farther from the Sun and have longer periods, their shifts are lower, and could not be observed accurately ...

  9. Kepler orbit - Wikipedia

    en.wikipedia.org/wiki/Kepler_orbit

    The distance to the focal point is a function of the polar angle relative to the horizontal line as given by the equation 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 ...

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