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  ...

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

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

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

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...

a trajectory to the parking orbit, then coasts for a while, then engines fire again to enter the final desired trajectory. An alternative trajectory that...

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...

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

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...

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

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....

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...

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...

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

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...

(LINEAR) Hyperbolic trajectory N/A N/A N/A LINEAR C/1999 S4 (LINEAR) Hyperbolic trajectory N/A N/A N/A LINEAR C/1999 T2 (LINEAR) Hyperbolic trajectory N/A...

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...

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...

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...

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

(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...

goals before the end of the fiscal year 1981. Orbit Parabolic trajectory Hyperbolic trajectory Goldman, Elliot. "Launch Window Optimization: The 2005 Mars...

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...

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

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