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  2. Orbit equation - Wikipedia

    en.wikipedia.org/wiki/Orbit_equation

    In astrodynamics, an orbit equation defines the path of orbiting body around central body relative to , without specifying position as a function of time.Under standard assumptions, a body moving under the influence of a force, directed to a central body, with a magnitude inversely proportional to the square of the distance (such as gravity), has an orbit that is a conic section (i.e. circular ...

  3. Orbital mechanics - Wikipedia

    en.wikipedia.org/wiki/Orbital_mechanics

    Orbital mechanics or astrodynamics is the application of ballistics and celestial ... of elliptic orbit is negative and the orbital energy conservation equation ...

  4. Newton's theorem of revolving orbits - Wikipedia

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

    Newton illustrates his formula with three examples. In the first two, the central force is a power law, F(r) = r n−3, so C(r) is proportional to r n. The formula above indicates that the angular motion is multiplied by a factor k = 1/ √ n, so that the apsidal angle α equals 180°/ √ n.

  5. Kepler's equation - Wikipedia

    en.wikipedia.org/wiki/Kepler's_equation

    In orbital mechanics, Kepler's equation relates various geometric properties of the orbit of a body subject to a central force. It was derived by Johannes Kepler in 1609 in Chapter 60 of his Astronomia nova , [ 1 ] [ 2 ] and in book V of his Epitome of Copernican Astronomy (1621) Kepler proposed an iterative solution to the equation.

  6. Circular orbit - Wikipedia

    en.wikipedia.org/wiki/Circular_orbit

    The formula is dimensionless, describing a ratio true for all units of measure applied uniformly across the formula. If the numerical value a {\displaystyle \mathbf {a} } is measured in meters per second squared, then the numerical values v {\displaystyle v\,} will be in meters per second, r {\displaystyle r\,} in meters, and ω {\displaystyle ...

  7. Vis-viva equation - Wikipedia

    en.wikipedia.org/wiki/Vis-viva_equation

    In the vis-viva equation the mass m of the orbiting body (e.g., a spacecraft) is taken to be negligible in comparison to the mass M of the central body (e.g., the Earth). ). The central body and orbiting body are also often referred to as the primary and a particle respect

  8. Lambert's problem - Wikipedia

    en.wikipedia.org/wiki/Lambert's_problem

    Stated another way, Lambert's problem is the boundary value problem for the differential equation ¨ = ^ of the two-body problem when the mass of one body is infinitesimal; this subset of the two-body problem is known as the Kepler orbit.

  9. Atomic orbital - Wikipedia

    en.wikipedia.org/wiki/Atomic_orbital

    An orbital can be occupied by a maximum of two electrons, each with its own projection of spin. The simple names s orbital, p orbital, d orbital, and f orbital refer to orbitals with angular momentum quantum number ℓ = 0, 1, 2, and 3 respectively.