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...

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...

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  ...

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

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

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

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

parabolic trajectories, and negative for hyperbolic trajectories, which can hinder its usability when working with different types of trajectories. Semi-minor...

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...

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...

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....

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...

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...

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...

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...

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...

(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...

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

Earth-to-Mars transfer, a hyperbolic trajectory is required to escape from Earth's gravity well, then an elliptic or hyperbolic trajectory in the Sun's sphere...

elliptical Escape Horseshoe Hyperbolic trajectory Inclined / Non-inclined Kepler Lagrange point Osculating Parabolic trajectory Parking Prograde / Retrograde...

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

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...

with their time (epoch) ( t {\displaystyle t} ) uniquely determine the trajectory of the orbiting body in space.: 154  Orbital state vectors come in many...

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...

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

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...

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

passing stars it is impossible to know if an object with a weak hyperbolic trajectory will truly be ejected or gently nudged back inward. The galactic...

"Trajectories". Retrieved 26 July 2017. Also available spaceodyssey.dmns.org Archived 2017-07-28 at the Wayback Machine. Tyson Sparks, Trajectories to...