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  2. Sphere of influence (astrodynamics) - Wikipedia

    en.wikipedia.org/wiki/Sphere_of_influence_(astro...

    The frame to choose is the one that has the smallest perturbation ratio. The surface for which χ A = χ B {\displaystyle \chi _{A}=\chi _{B}} separates the two regions of influence. In general this region is rather complicated but in the case that one mass dominates the other, say m A ≪ m B {\displaystyle m_{A}\ll m_{B}} , it is possible to ...

  3. 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 ...

  4. Standard gravitational parameter - Wikipedia

    en.wikipedia.org/wiki/Standard_gravitational...

    In the more general case where the bodies need not be a large one and a small one, e.g. a binary star system, we define: the vector r is the position of one body relative to the other; r, v, and in the case of an elliptic orbit, the semi-major axis a, are defined accordingly (hence r is the distance)

  5. Barycenter (astronomy) - Wikipedia

    en.wikipedia.org/wiki/Barycenter_(astronomy)

    m 2 is the mass of the secondary in Earth masses (M E) a (km) is the average orbital distance between the centers of the two bodies; r 1 (km) is the distance from the center of the primary to the barycenter; R 1 (km) is the radius of the primary ⁠ r 1 / R 1 ⁠ a value less than one means the barycenter lies inside the primary

  6. Saturn - Wikipedia

    en.wikipedia.org/wiki/Saturn

    Animation of Saturn and the Solar System's outer planets orbiting around the Sun Simulated appearance of Saturn as seen from Earth (at opposition) during an orbit of Saturn, 2001–2029. The average distance between Saturn and the Sun is over 1.4 billion kilometers (9 AU). With an average orbital speed of 9.68 km/s, [6] it takes Saturn 10,759 ...

  7. Kerr metric - Wikipedia

    en.wikipedia.org/wiki/Kerr_metric

    The Kerr metric or Kerr geometry describes the geometry of empty spacetime around a rotating uncharged axially symmetric black hole with a quasispherical event horizon.The Kerr metric is an exact solution of the Einstein field equations of general relativity; these equations are highly non-linear, which makes exact solutions very difficult to find.

  8. Introduction to general relativity - Wikipedia

    en.wikipedia.org/wiki/Introduction_to_general...

    The geometry of general curved surfaces was developed in the early 19th century by Carl Friedrich Gauss. This geometry had in turn been generalized to higher-dimensional spaces in Riemannian geometry introduced by Bernhard Riemann in the 1850s. With the help of Riemannian geometry, Einstein formulated a geometric description of gravity in which ...

  9. Gaussian gravitational constant - Wikipedia

    en.wikipedia.org/wiki/Gaussian_gravitational...

    The term "unit distance" is also used for the length (A). From this definition, the mean distance of Earth from the Sun works out to 1.000 000 03 au, but with perturbations by the other planets, which do not average to zero over time, the average distance is 1.000 000 20 au. [6]

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