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The change in position within the orbit is usually defined as the phase angle, ϕ, and is the change in true anomaly required between the spacecraft's current position to the final position. The phase angle can be converted in terms of time using Kepler's Equation: [ 2 ]
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]
The PMNS matrix is most commonly parameterized by three mixing angles ( , , and ) and a single phase angle called related to charge–parity violations (i.e. differences in the rates of oscillation between two states with opposite starting points, which makes the order in time in which events take place necessary to predict ...
In astronomy, a phase curve describes the brightness of a reflecting body as a function of its phase angle (the arc subtended by the observer and the Sun as measured at the body). The brightness usually refers the object's absolute magnitude , which, in turn, is its apparent magnitude at a distance of one astronomical unit from the Earth and Sun.
Phase angle may refer to: Phase (waves), the angular displacement of a sinusoid from a reference point or time; Phasor angle, angular component of the complex number representation of a sinusoid; Analytic representation phase, instantaneous phase of an analytic signal representation; Phase angle (astronomy), the angle between the incident light ...
the value of a plane angle in physics and mathematics; the angle to the z axis in spherical coordinates (mathematics) epoch or phase difference between two waves or vectors; the angle to the x axis in the xy-plane in spherical or cylindrical coordinates (physics) latitude in geodesy; radiant flux; neutron flux; Potential energy; electric potential
Zero phase angle corresponds to looking along the direction of illumination. For Earth-bound observers, this occurs when the body in question is at opposition and on the ecliptic . The visual geometric albedo refers to the geometric albedo quantity when accounting for only electromagnetic radiation in the visible spectrum .
Conversely, a phase reversal or phase inversion implies a 180-degree phase shift. [ 2 ] When the phase difference φ ( t ) {\displaystyle \varphi (t)} is a quarter of turn (a right angle, +90° = π/2 or −90° = 270° = −π/2 = 3π/2 ), sinusoidal signals are sometimes said to be in quadrature , e.g., in-phase and quadrature components of a ...