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Remember that this change in velocity, ∆V, is only the amount required to change the spacecraft from its original orbit to the phasing orbit.A second change in velocity equal to the magnitude but opposite in direction of the first must be done after the spacecraft travels one phase orbit period to return the spacecraft from the phasing orbit to the original orbit.
For some objects, such as the Moon (see lunar phases), Venus and Mercury the phase angle (as seen from the Earth) covers the full 0–180° range. The superior planets cover shorter ranges. For example, for Mars the maximum phase angle is about 45°. For Jupiter, the maximum is 11.1° and for Saturn 6°. [1]
It is expressed as the angle between a reference plane and the orbital plane or axis of direction of the orbiting object. For a satellite orbiting the Earth directly above the Equator, the plane of the satellite's orbit is the same as the Earth's equatorial plane, and the satellite's orbital inclination is 0°.
At phase angles exceeding 90° (crescent phase) the brightness falls off especially sharply. The shape of the phase curve indicates a mean slope on the surface of Mercury of about 16°, [1] which is slightly smoother than that of the Moon. Approaching phase angle 0° (fully illuminated phase) the curve rises to a sharp peak.
Gravity turn of the Space Shuttle. A gravity turn or zero-lift turn is a maneuver used in launching a spacecraft into, or descending from, an orbit around a celestial body such as a planet or a moon.
The green lines represent the Sun-Earth-Probe angle upon departure. [ clarification needed ] In orbital mechanics , a porkchop plot (also pork-chop plot ) is a chart that shows level curves of equal characteristic energy (C 3 ) against combinations of launch date and arrival date for a particular interplanetary flight. [ 1 ]
Phase curve (astronomy) is the brightness of a reflecting body as a function of its phase angle. Phase response curve is the relationship between the timing and the effect of a treatment designed to affect circadian rhythms. Phase diagram is a type of chart used to show conditions at which thermodynamically distinct phases can occur at equilibrium.
Phase portrait of damped oscillator, with increasing damping strength. The equation of motion is x ¨ + 2 γ x ˙ + ω 2 x = 0. {\displaystyle {\ddot {x}}+2\gamma {\dot {x}}+\omega ^{2}x=0.} In mathematics , a phase portrait is a geometric representation of the orbits of a dynamical system in the phase plane .