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  2. Spacecraft flight dynamics - Wikipedia

    en.wikipedia.org/wiki/Spacecraft_flight_dynamics

    These maneuvers require changes in the craft's velocity, and the classical rocket equation is used to calculate the propellant requirements for a given delta-v. A delta- v budget will add up all the propellant requirements, or determine the total delta-v available from a given amount of propellant, for the mission.

  3. Dirac delta function - Wikipedia

    en.wikipedia.org/wiki/Dirac_delta_function

    The delta function allows us to construct an idealized limit of these approximations. Unfortunately, the actual limit of the functions (in the sense of pointwise convergence ) lim Δ t → 0 + F Δ t {\textstyle \lim _{\Delta t\to 0^{+}}F_{\Delta t}} is zero everywhere but a single point, where it is infinite.

  4. Orbital maneuver - Wikipedia

    en.wikipedia.org/wiki/Orbital_maneuver

    It is the limit case of a burn to generate a particular amount of delta-v, as the burn time tends to zero. In the physical world no truly instantaneous change in velocity is possible as this would require an "infinite force" applied during an "infinitely short time" but as a mathematical model it in most cases describes the effect of a maneuver ...

  5. Angular momentum - Wikipedia

    en.wikipedia.org/wiki/Angular_momentum

    The trivial case of the angular momentum of a body in an orbit is given by = where is the mass of the orbiting object, is the orbit's frequency and is the orbit's radius.. The angular momentum of a uniform rigid sphere rotating around its axis, instead, is given by = where is the sphere's mass, is the frequency of rotation and is the sphere's radius.

  6. Aircraft flight dynamics - Wikipedia

    en.wikipedia.org/wiki/Aircraft_flight_dynamics

    Flight dynamics is the science of air vehicle orientation and control in three dimensions. The three critical flight dynamics parameters are the angles of rotation in three dimensions about the vehicle's center of gravity (cg), known as pitch, roll and yaw.

  7. Langevin dynamics - Wikipedia

    en.wikipedia.org/wiki/Langevin_dynamics

    For a system of particles with masses , with coordinates = that constitute a time-dependent random variable, the resulting Langevin equation is [2] [3] ¨ = ˙ + (), where () is the particle interaction potential; is the gradient operator such that () is the force calculated from the particle interaction potentials; the dot is a time derivative ...

  8. Delta-v budget - Wikipedia

    en.wikipedia.org/wiki/Delta-v_budget

    Delta-v in feet per second, and fuel requirements for a typical Apollo Lunar Landing mission. In astrodynamics and aerospace, a delta-v budget is an estimate of the total change in velocity (delta-v) required for a space mission. It is calculated as the sum of the delta-v required to perform each propulsive maneuver needed during

  9. Yaw (rotation) - Wikipedia

    en.wikipedia.org/wiki/Yaw_(rotation)

    A yaw rotation is a movement around the yaw axis of a rigid body that changes the direction it is pointing, to the left or right of its direction of motion. The yaw rate or yaw velocity of a car, aircraft, projectile or other rigid body is the angular velocity of this rotation, or rate of change of the heading angle when the aircraft is horizontal.