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Angular eccentricity is one of many parameters which arise in the study of the ellipse or ellipsoid. It is denoted here by α (alpha). It may be defined
Angular_eccentricity
Characteristic of conic sections
eccentricity of a circle is 0. The eccentricity of a non-circular ellipse is between 0 and 1. The eccentricity of a parabola is 1. The eccentricity of
Eccentricity_(mathematics)
Amount by which an orbit deviates from a perfect circle
Hyperbolic trajectory: e > 1 The eccentricity e is given by e=1+ 2 E L2 mrdc α2 where E is the total orbital energy, L is the angular momentum, mrdc is the reduced
Orbital_eccentricity
Topics referred to by the same term
investment Cronbach's alpha, a statistical measure of reliability Angular eccentricity (conventional symbol "α") Navigational azimuth (symbol "α") One of
Alpha_(disambiguation)
Kepler orbit with an eccentricity of less than one
inν=1+ecosν1+e2+2ecosν tanϕ=esinν1+ecosν where e is the eccentricity. The angular momentum is related to the vector cross product of position and
Elliptic_orbit
Vector in celestial mechanics
In celestial mechanics, the eccentricity vector of a Kepler orbit is the dimensionless vector with direction pointing from apoapsis to periapsis and with
Eccentricity_vector
m)+bc2a2−c2F(α,m)), where α=arccos(ca) is the modular angle, or angular eccentricity; m=b2−c2b2sin(α)2 and F(α,m), E(α,m) are the incomplete elliptic
List of gravitationally rounded objects of the Solar System
List_of_gravitationally_rounded_objects_of_the_Solar_System
sufficient gravitational force. Radial orbit: An orbit with zero angular momentum and eccentricity equal to 1. The two objects move directly towards or away
List_of_orbits
Specifies the orbit of an object in space
mean anomaly represents uniform angular motion on a circle of radius a. Mean anomaly can be calculated from the eccentricity and the true anomaly v by finding
Mean_anomaly
Laws describing planetary orbits
speed nor the angular speed of the planet in the orbit is constant, but the area speed (closely linked historically with the concept of angular momentum)
Kepler's laws of planetary motion
Kepler's_laws_of_planetary_motion
Concept in astrodynamics
escape the central object's gravitational field; expressed as orbital eccentricity designated by any number more than 1. Under simplistic assumptions a
Hyperbolic_trajectory
Shape of a spinning body of self-gravitating fluid
→ 0 {\displaystyle \Omega \rightarrow 0} . The maximum angular velocity occurs at eccentricity e = 0.92996 {\displaystyle e=0.92996} and its value is
Maclaurin_spheroid
Vector used in astronomy
preserve energy but not angular momentum; expressed another way, orbits of the same energy but different angular momentum (eccentricity) can be transformed
Laplace–Runge–Lenz_vector
2015 film
"elegant" and Smiley's performance "unbeatable" whereas Lynch "has an angular eccentricity that suits the role perfectly" and Webster "wields the sort of cheekbones
My_Name_Is_Emily
Parameter of Keplerian orbits
In celestial mechanics, true anomaly is an angular parameter that defines the position of a body moving along a Keplerian orbit. It is the angle between
True_anomaly
When the angular frequency of a system matches its natural vibrational frequency
thereby decreasing the circling masses' angular velocity. At some point, the pull of the spring overcomes the angular velocity of the circling masses, restarting
Rotational–vibrational coupling
Rotational–vibrational_coupling
Parameters that define a specific orbit
particular use case. Eccentricity ( e ) — shape of the ellipse, describing how much it deviates from a perfect a circle. An eccentricity of 0 (zero) describes
Orbital_elements
Global climate cycles
quantitative analysis than James Croll's earlier hypothesis that variations in eccentricity, axial tilt, and precession combined to result in cyclical variations
Milankovitch_cycles
Periodic change in the direction of a rotation axis
applied to the body. In torque-free precession, the angular momentum is a constant, but the angular velocity vector changes orientation with time. What
Precession
Natural satellites orbiting Pluto
required a near-zero Charonian eccentricity of 0.024, whereas boosting Nix would have required a larger eccentricity of at least 0.05. This suggests
Moons_of_Pluto
Rotation of Earth around its axis
effect of bringing mass closer to its centre of gravity. Conservation of angular momentum dictates that a mass distributed more closely around its centre
Earth's_rotation
Curved path of an object around a point
At the present epoch, Mars has the next largest eccentricity while the smallest orbital eccentricities are seen with Venus and Neptune. As two objects
Orbit
Celestial orbit whose trajectory is a conic section in the orbital plane
constant angular momentum vector of the orbit, and 𝐯 is the velocity vector associated with the position vector 𝐫. Obviously, the eccentricity vector
Kepler_orbit
two-body, Keplerian orbital mechanics, the equation of the center is the angular difference between the actual position of a body in its elliptical orbit
Equation_of_the_center
Theorem in classical mechanics
revolving orbits identifies the type of central force needed to multiply the angular speed of a particle by a factor k without affecting its radial motion (Figures 1
Newton's theorem of revolving orbits
Newton's_theorem_of_revolving_orbits
Astronomical phenomena viewed from the planet Mars
opposing times. However, the orbit of Mars has significantly greater eccentricity than that of Earth. Therefore, the seasons are of unequal length, much
Astronomy_on_Mars
Vector quantity in celestial mechanics
specific relative angular momentum (often denoted h → {\displaystyle {\vec {h}}} or h {\displaystyle \mathbf {h} } ) of a body is the angular momentum of that
Specific_angular_momentum
Extent of the observable world seen at any given moment
The field of view (FOV) is the angular extent of the observable world that is seen at any given moment. In the case of optical instruments or sensors
Field_of_view
Function describing an electron in an atom
orbitals, all of which have no angular momentum, might perhaps be that of a Keplerian orbit with the orbital eccentricity of 1 but a finite major axis,
Atomic_orbital
Natural phenomenon due to which tidal locking occurs
the Moon's angular rate of orbital motion, due to tidal exchange of angular momentum between Earth and Moon. This increases the Moon's angular momentum
Tidal_acceleration
Clarity of vision
E2/(E2+E), where E is eccentricity in degrees visual angle, and E2 is a constant of approximately 2 degrees. At 2 degrees eccentricity, for example, acuity
Visual_acuity
Term in geometry; longest and shortest semidiameters of an ellipse
axis, the orbital period is the same, disregarding their eccentricity. The specific angular momentum h of a small body orbiting a central body in a circular
Semi-major and semi-minor axes
Semi-major_and_semi-minor_axes
American dancer
talent for witty, innovative choreography." His "signature blend of angular eccentricity and willowy grace," his "inventiveness and clarity of thought and
Farrell_Dyde
Orbit around Earth between 160 and 2000 km
of 128 minutes or less (making at least 11.25 orbits per day) and an eccentricity less than 0.25. Most of the artificial objects in outer space are in
Low_Earth_orbit
Concept in gravitational orbital mechanics
perpendicular at apoapsis and periapsis, conservation of angular momentum requires specific angular momentum h=rpvp=rava=constant, thus vp=rarpva: 12(1−ra2rp2)va2=GMra−GMrp
Vis-viva_equation
The Moon's circuit around Earth
true on average because the Moon's orbit has a definite eccentricity. As a result, the angular velocity of the Moon varies as it orbits Earth and hence
Orbit_of_the_Moon
Branch of astronomy
of the central body, or more generally contrary in direction to the net angular momentum of the entire system. Apparent retrograde motion is the periodic
Celestial_mechanics
Highly elliptical and highly inclined synchronous orbit
(approximately 63.4°), an orbital period of one sidereal day, and a typical eccentricity between 0.2 and 0.3. A satellite placed in this orbit spends most of
Tundra_orbit
Situation in which an astronomical object's orbital period matches its rotational period
locking. The angular momentum of the whole A–B system is conserved in this process, so that when B slows down and loses rotational angular momentum, its
Tidal_locking
First planet from the Sun
strong enough to deflect the solar wind. Combined with its high orbital eccentricity, the planet's surface has widely varying sunlight intensity and temperature
Mercury_(planet)
Horizontal angle from north or other reference cardinal direction
nφ1)2tanα=sinL(Λ−cosL)sinφ1 where f is the flattening and e the eccentricity for the chosen spheroid (e.g., 1⁄298.257223563 for WGS84). If φ1 = 0
Azimuth
Parameter in the gravitational two-body problem
specific relative angular momentum in the sense of relative angular momentum divided by the reduced mass; e is the orbital eccentricity; a is the semi-major
Specific_orbital_energy
Astronomical phenomenon
When it is near the star the planet loses angular momentum causing its orbit to shrink. The planet's eccentricity and inclination cycle repeatedly, slowing
Planetary_migration
Triple-star system in the constellation Scorpius
667 B, are orbiting each other at an average angular separation of 1.81 arcseconds with a high eccentricity of 0.58. At the estimated distance of this system
Gliese_667
Surface formed by rotating an ellipse
{a^{2}}{c^{2}}}.} In both cases, eo and ep may be identified as the eccentricity (see ellipse). These formulas are identical in the sense that the formula
Spheroid
Speed at which a body orbits around the barycenter of a system
it needs to move faster to cover the same area. For orbits with small eccentricity, the length of the orbit is close to that of a circular one, and the
Orbital_speed
anomaly between spacecraft and final position e1 is defined as orbital eccentricity of original orbit φ is defined as change in true anomaly between spacecraft
Orbit_phasing
Angle defining a position in an orbit
In orbital mechanics, the eccentric anomaly is an angular parameter that defines the position of a body that is moving along an elliptic Kepler orbit
Eccentric_anomaly
Field of classical mechanics concerned with the motion of spacecraft
the true anomaly, p is the semi-latus rectum, while e is the orbital eccentricity, all obtainable from the various forms of the six independent orbital
Orbital_mechanics
Type of geocentric orbit
need an additional perturbation to maintain a Sun-synchronous orbit. The angular precession per orbit for an Earth orbiting satellite is approximately given
Sun-synchronous_orbit
Plane curve
{\displaystyle e} is the eccentricity (not Euler's number). If instead we use polar coordinates with the origin at one focus, with the angular coordinate θ = 0
Ellipse
Type of high-latitude satellite orbit
properties: Argument of perigee: 270° Inclination: 63.4° Period: 718 minutes Eccentricity: 0.74 Semi-major axis: 26,600 km (16,500 mi) The argument of perigee
Molniya_orbit
and celestial mechanics a radial trajectory is a Kepler orbit with zero angular momentum. Two objects in a radial trajectory move directly towards or away
Radial_trajectory
Astrodynamic equation
attraction is four times as strong. The parameter e {\displaystyle e} is the eccentricity of the orbit, and is given by e = 1 + 2 E ℓ 2 m 3 μ 2 {\displaystyle
Orbit_equation
Either of two extreme points in a celestial object's orbit
axis of the Earth measured from the plane of the ecliptic. The Earth's eccentricity and other orbital elements are not constant, but vary slowly due to the
Apsis
Frame of reference for an orbit
parameter of the focus, h is the specific relative angular momentum of the orbital body, e is the eccentricity of the orbit, and θ {\displaystyle \theta } is
Perifocal_coordinate_system
Orbit with a fixed distance from the barycenter
of a circle. In this case, not only the distance, but also the speed, angular speed, potential and kinetic energy are constant. There is no periapsis
Circular_orbit
Circular orbit above Earth's Equator and following the direction of Earth's rotation
properties: Inclination: 0° Period: 1436 minutes (one sidereal day) Eccentricity: 0 Argument of perigee: undefined Semi-major axis: 42,164 km An inclination
Geostationary_orbit
Term from classical mechanics
to the conservation of angular momentum. Areal velocity is closely related to angular momentum. Any object has an orbital angular momentum about an origin
Areal_velocity
Orbit around Earth
velocity will be at its minimum. Eccentricity a measure of how much an orbit deviates from a perfect circle. Eccentricity is strictly defined for all circular
Geocentric_orbit
Plane curve: conic section
called the focal distance or linear eccentricity. The quotient c a {\displaystyle {\tfrac {c}{a}}} is the eccentricity e {\displaystyle e} . The equation
Hyperbola
Specifies the orbit of an object in space
towards the ascending node (i.e. the z-component of n is zero), e is the eccentricity vector (a vector pointing towards the periapsis). In the case of equatorial
Argument_of_periapsis
object's orbit. This torque increases the object's angular momentum from Planet Nine causing the eccentricity of its orbit to decline (see blue curves on diagram)
Effects of Planet Nine on trans-Neptunian objects
Effects_of_Planet_Nine_on_trans-Neptunian_objects
Application of mechanical dynamics to model the flight of space vehicles
{1}{e}}} The geometric equation for eccentricity of an ellipse cannot be used for a hyperbola. But the eccentricity can be calculated from dynamics formulations
Spacecraft_flight_dynamics
gravitational radiation reaction is unable to cope with the change in angular momentum associated with the perturbations. The instability was discovered
Chandrasekhar–Friedman–Schutz instability
Chandrasekhar–Friedman–Schutz_instability
Region of space gravitationally dominated by a given body
is, in fact, not quite a sphere. The distance to the SOI depends on the angular distance θ from the massive body. A more accurate formula is given by
Sphere of influence (astrodynamics)
Sphere_of_influence_(astrodynamics)
Atom of the element hydrogen
eccentricity and declination with respect to a chosen axis. This introduced two additional quantum numbers, which correspond to the orbital angular momentum
Hydrogen_atom
Hypothetical Solar System planet
planet could be on a lower eccentricity, low inclination orbit, with eccentricity e < 0.18 and inclination i ≈ 11°. The eccentricity is limited in this case
Planet_Nine
Precession of a gyroscope due to a nearby celestial body's rotation affecting spacetime
} where Lj is the angular momentum of the jth star, aj and ej are its semimajor axis and eccentricity. A gaseous accretion disk that is
Lense–Thirring_precession
Region in which an astronomical body dominates the attraction of satellites
planet orbiting around the Sun), and has a semi-major axis a, and an eccentricity of e, then the Hill radius or sphere, RH of the less massive body, calculated
Hill_sphere
orbit, the radial-velocity method can determine four: semi-major axis, eccentricity, longitude of periastron, and time of periastron. Two parameters remain
Exoplanet orbital and physical parameters
Exoplanet_orbital_and_physical_parameters
Northern pole-star; brightest star in Ursa Minor
system, with an eccentricity of 0.64. K. W. Kamper in 1996 produced refined elements with a period of 29.59±0.02 years and an eccentricity of 0.608±0.005
Polaris
Ancient philosophical concept
of Harmonices, Kepler explains how the ratio of the maximum and minimum angular speeds of each planet (i.e., its speeds at the perihelion and aphelion)
Musica_universalis
Disked object in the constellation Centaurus
for a range of possible orbital periods depending on J1407b's orbital eccentricity: if J1407b has a circular orbit with a constant orbital speed, then it
J1407b
Trajectory of Earth around the Sun
an ellipse with the Earth–Sun barycenter as one focus with a current eccentricity of 0.0167. Since this value is close to zero, the center of the orbit
Earth's_orbit
Interstellar comet in 2025
known as the orbital eccentricity. Whereas elliptical orbits have an eccentricity less than 1, hyperbolic orbits have an eccentricity greater than 1. For
3I/ATLAS
Maintenance of a particular orbit
period. Solar radiation pressure will in general perturb the eccentricity (i.e. the eccentricity vector); see Orbital perturbation analysis (spacecraft).
Orbital_station-keeping
Outdated measure of planetary orbits
smaller circle carrying the planet) was conceived to move at a constant angular speed with respect to the equant. To a hypothetical observer placed at
Equant
Mathematical equation describing the motion of a rocket
of periapsis Eccentricity Inclination Mean anomaly Orbital nodes Semi-major axis True anomaly Types of two-body orbits by eccentricity Circular orbit
Tsiolkovsky_rocket_equation
Rotation of a satellite as it orbits
semi-major axis of the satellite's orbit, e is the eccentricity of the satellite's orbit, ω is the angular velocity of the satellite's motion (2π radians
Nodal_precession
Large asteroid
385 million kilometres (2.5735 AU) with a period of 4.13 yr and an orbital eccentricity of 0.19. The orbital plane is inclined at an angle of 5.37° to the plane
5_Astraea
Process whereby solar radiation causes orbiting dust grains to lose angular momentum
process by which solar radiation causes a dust grain orbiting a star to lose angular momentum relative to its orbit around the star. This is related to radiation
Poynting–Robertson_effect
Irregular moon of Neptune
resonance, which causes large, synchronized variations in its orbital eccentricity and inclination over a 600-year period. Neso shares similar orbital characteristics
Neso_(moon)
Apparent solar time minus mean solar time
is the east or west component of the analemma, a curve representing the angular offset of the Sun from its mean position on the celestial sphere as viewed
Equation_of_time
Angular speed required for a body to complete one orbit
In orbital mechanics, mean motion (represented by n) is the angular speed required for a body to complete one orbit, assuming constant speed in a circular
Mean_motion
Multiple star system in the constellation Libra
a spectroscopic binary with an orbital period of 23.512 years and an eccentricity of 0.2440. The brighter member has a stellar classification of B9 IVp
Iota1_Librae
Effect of tidal forces on an orbiting body
between a body in orbit around a central celestial object, whereby the eccentricity of the orbit is reduced over time so that it becomes less and less elliptical
Tidal_circularization
Type of orbit
celestial mechanics a parabolic trajectory is a Kepler orbit with the eccentricity (e) equal to 1 and is an unbound orbit that is exactly on the border
Parabolic_trajectory
Triple star system in the constellation Centaurus
equation R/R☉ = (107.5 • 𝜃)/π, where 𝜃 is the angular diameter and π is the parallax. Sources: Angular diameters—J Davis et al. (2006) Parallax—Pigulski
Beta_Centauri
Main-belt asteroid
093 AU (313.1 million km) Semi-major axis 2.387 AU (357.1 million km) Eccentricity 0.1231 Orbital period (sidereal) 3.69 yr (1346.74 d) Mean anomaly 345
9_Metis
Characterization of distortion in map projections
form of a sphere or ellipsoid. Tissot's indicatrices illustrate linear, angular, and areal distortions of maps: A map distorts distances (linear distortion)
Tissot's_indicatrix
Moment in time used as a reference point in astronomy
(deg), n: mean daily motion (deg/d), a: size of semi-major axis (AU), e: eccentricity (dimensionless). But the argument of perihelion, longitude of the ascending
Epoch_(astronomy)
Stony main-belt asteroid
around 12° to the ecliptic, but has an extreme eccentricity, greater than that of Pluto. This high eccentricity brings Juno closer to the Sun at perihelion
3_Juno
Accumulation of matter around a star
giant molecular cloud. The infalling material possesses some amount of angular momentum, which results in the formation of a gaseous protoplanetary disc
Circumstellar_disc
Uneven mass distribution around axis of rotation
conditions Reduced machine life Increased maintenance In terms of the mass eccentricity e {\displaystyle e} : μm, mm, cm, ...; μin, mil, in, ... In terms of
Rotating_unbalance
Perceived variation in the Moon's size
This is because of the eccentricity of the Moon's orbit. The size of a viewed object can be measured objectively either as an angular size (the visual angle
Moon_illusion
Geographic coordinate specifying north-south position
or semi-minor axis, b; or (2) the (first) flattening, f; or (3) the eccentricity, e. These parameters are not independent: they are related by f=a−ba
Latitude
Third-largest asteroid
making Pallas relatively inaccessible to spacecraft, and its orbital eccentricity is nearly as large as that of Pluto. The high inclination of the orbit
2_Pallas
Smaller moon of Haumea
(15,800 mi). Namaka follows a highly tilted elliptical orbit with an eccentricity of about 0.22 and an inclination of roughly 13° with respect to both
Namaka_(moon)
Main-belt asteroid
orbiting the Sun at a distance of 2.585 AU with a period of 4.16 yr and an eccentricity of 0.168. The orbital plane is tilted at an angle of 9.1° to the plane
14_Irene
travel, tourism, insurance
ANGULAR ECCENTRICITY
ANGULAR ECCENTRICITY
Girl/Female
Muslim
Unique, Singular, Exclusive
Boy/Male
Arabic, Hindu, Indian, Muslim
Shining
Female
English
Feminine form of Latin Angelus, ANGELA means "angel, messenger."
Boy/Male
Gujarati, Hindu, Indian, Kannada
Spark of Fire
Boy/Male
Hindu, Indian, Kannada, Tamil
Witty; Super
Boy/Male
Arabic, Muslim, Parsi, Pashtun
Embers
Girl/Female
Muslim
Unique, Singular
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Tamil, Telugu
Not Wild; Gentle
Girl/Female
Indian
Unique, Singular
Girl/Female
Indian, Tamil
Lovely; Kind-hearted
Girl/Female
Christian & English(British/American/Australian)
Angelic
Girl/Female
American, Australian, British, English
Beautiful Goddess
Girl/Female
Muslim
Unique, Singular, Exclusive
Boy/Male
Indian, Sanskrit
Radiant; Bright; Enlightening
Boy/Male
Indian, Sanskrit
Praising; A Hymn
Boy/Male
Hindu, Indian, Tamil
Regular Winner
Girl/Female
Arabic, Muslim
Unique; Singular
Girl/Female
Muslim
Unique, Singular, Exclusive
Girl/Female
French Spanish American Italian Latin Greek
Angel.
Girl/Female
Afghan, American, British, Christian, English, Finnish, French, Greek, Indian, Irish, Lebanese, Polish, Portuguese, Romanian, Spanish, Swedish, Tamil
Heavenly Messenger; Angel; Messenger from God
ANGULAR ECCENTRICITY
ANGULAR ECCENTRICITY
ANGULAR ECCENTRICITY
ANGULAR ECCENTRICITY
ANGULAR ECCENTRICITY
ANGULAR ECCENTRICITY
ANGULAR ECCENTRICITY
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