In astrodynamics or celestial mechanics, a hyperbolic trajectory or hyperbolic orbit is the trajectory of any object around a central body with more than...

trajectory is a Kepler orbit with the eccentricity equal to 1 and is an unbound orbit that is exactly on the border between elliptical and hyperbolic...

point Hyperbolic trajectory, a Kepler orbit with eccentricity greater than 1 Hyperbolic versor, a versor parameterized by a hyperbolic angle Hyperbolic unit...

escape speed at its current distance. In contrast if it is on a hyperbolic trajectory its speed will always be higher than the escape speed at its current...

about 160–164 km2/s2. Specific orbital energy Orbit Parabolic trajectory Hyperbolic trajectory Wie, Bong (1998). "Orbital Dynamics". Space Vehicle Dynamics...

the length of the semi-major axis. The velocity equation for a hyperbolic trajectory has either + 1 a {\displaystyle {1 \over {a}}} , or it is the same...

Circular orbit: e = 0 Elliptic orbit: 0 < e < 1 Parabolic trajectory: e = 1 Hyperbolic trajectory: e > 1 The eccentricity e is given by e = 1 + 2 E L 2 m...

(i.e. circular orbit, elliptic orbit, parabolic trajectory, hyperbolic trajectory, or radial trajectory) with the central body located at one of the two...

body traveling along a hyperbolic trajectory will attain at r = {\displaystyle r=} infinity an orbital velocity called hyperbolic excess velocity ( v ∞...

of influence, making a hyperbolic lunar swingby. In some cases it is possible to design a TLI to target a free return trajectory, so that the spacecraft...

bodies move away from each other or towards each other. Radial hyperbolic trajectory: a non-periodic orbit where the relative speed of the two objects...

hyperbolic trajectory If the total energy is zero, (Ek = Ep): the orbit is a parabola with focus at the other body. See radial parabolic trajectory....

at this velocity will enter a parabolic trajectory; above this velocity it will enter a hyperbolic trajectory. Impulse the integral of a force over the...

Section 1, Chapter 4, "Trajectories". Retrieved 26 July 2017. Also available spaceodyssey.dmns.org. Tyson Sparks, Trajectories to Mars Archived 2017-10-28...

Ganymede. After this slingshot maneuver, it will possibly enter a hyperbolic trajectory around the Sun and eventually leave the Solar System. Ulysses is...

Distance of closest approach Eccentric anomaly Flyby (spaceflight) Hyperbolic trajectory § Closest approach Mean anomaly Perifocal coordinate system True...

ἐφημερίς (ephemeris) 'diary, journal') is a book with tables that gives the trajectory of naturally occurring astronomical objects as well as artificial satellites...

a = μ 2 ε {\displaystyle a={\frac {\mu }{2\varepsilon }}} for a hyperbolic trajectory, and ε = v 2 2 − μ | r | {\displaystyle \varepsilon ={\frac {v^{2}}{2}}-{\frac...

equation simplifies to ε = 0. {\displaystyle \varepsilon =0.} For a hyperbolic trajectory this specific orbital energy is either given by ε = μ 2 a . {\displaystyle...

between the attractor and the object following the trajectory increases linearly with time. For the hyperbolic case, there is a formula similar to the above...

(perihelion) in March 1982. It is leaving the Solar System on a hyperbolic trajectory due to a close approach to Jupiter. In the 43 years since its discovery...

millions of years coming directly from the Oort cloud. It follows a hyperbolic trajectory (with an osculating eccentricity larger than 1) during its passage...

is Kepler's third law. For parabolic trajectories rv2 is constant and equal to 2μ. For elliptic and hyperbolic orbits magnitude of μ = 2 times the magnitude...

launch between 2036 and 2041. The probe would launch on a direct hyperbolic trajectory to encounter Jupiter after six to seven months, after which the...

The study of such motions is called ballistics, and such a trajectory is a ballistic trajectory. The only force of mathematical significance that is actively...

and hyperbolas. Hyperbolic growth Hyperbolic partial differential equation Hyperbolic sector Hyperboloid structure Hyperbolic trajectory Hyperboloid Multilateration...

Solar System, where it can be distinguished by its strongly hyperbolic trajectory and hyperbolic excess velocity of more than a few km/s, proving that it...

Kepler's laws of planetary motion Elliptic orbit Hyperbolic trajectory Parabolic trajectory Radial trajectory Orbit modeling Copernicus. pp 513–514 Bate, Mueller...

gravitational constant. In a parabolic or hyperbolic trajectory, the motion is not periodic, and the duration of the full trajectory is infinite. For celestial objects...

October. A two-week observation arc had verified a strongly hyperbolic trajectory. It has a hyperbolic excess velocity (velocity at infinity, v ∞ {\displaystyle...