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Vector quantity in celestial mechanics
the specific relative angular momentum (often denoted h → {\displaystyle {\vec {h}}} or h {\displaystyle \mathbf {h} } ) of a body is the angular momentum
Specific_angular_momentum
Conserved physical quantity; rotational analogue of linear momentum
Angular momentum (sometimes called moment of momentum or rotational momentum) is the rotational analog of linear momentum. It is an important physical
Angular_momentum
Coupling in quantum physics
mechanics, angular momentum coupling is the procedure of constructing eigenstates of total angular momentum out of eigenstates of separate angular momenta
Angular_momentum_coupling
Intrinsic quantum property of particles
Spin is an intrinsic form of angular momentum carried by elementary particles, and thus by composite particles such as hadrons, atomic nuclei, and atoms
Spin_(physics)
Class of problems in classical mechanics
specific angular momentum because it equals the magnitude L of the angular momentum divided by the mass m of the particle. For brevity, the angular speed
Classical central-force problem
Classical_central-force_problem
Physical quantity carried in photons
The angular momentum of light is a vector quantity that expresses the amount of dynamical rotation present in the electromagnetic field of the light. While
Angular_momentum_of_light
Type of orbit
orbiting body from the central body, h {\displaystyle h\,} is the specific angular momentum of the orbiting body, ν {\displaystyle \nu \,} is the true anomaly
Parabolic_trajectory
Parameter in the gravitational two-body problem
the bodies; h {\displaystyle h} is the specific relative angular momentum in the sense of relative angular momentum divided by the reduced mass; e {\displaystyle
Specific_orbital_energy
Quantum number denoting orbital angular momentum
for an atomic orbital that determines its orbital angular momentum and describes aspects of the angular shape of the orbital. The azimuthal quantum number
Azimuthal_quantum_number
Kepler orbit with an eccentricity of less than one
h\,=r\,v\,\cos \phi } where: h {\displaystyle h\,} is the specific relative angular momentum of the orbit, v {\displaystyle v\,} is the orbital speed of
Elliptic_orbit
Orbit with a fixed distance from the barycenter
r={{h^{2}} \over {\mu }}} where: h = r v {\displaystyle h=rv} is specific angular momentum of the orbiting body. This is because μ = r v 2 {\displaystyle
Circular_orbit
Field of classical mechanics concerned with the motion of spacecraft
the masses of objects 1 and 2, and h {\displaystyle h} is the specific angular momentum of object 2 with respect to object 1. The parameter θ {\displaystyle
Orbital_mechanics
point to POI h1 is defined as specific angular momentum of the original orbit h2 is defined as specific angular momentum of the phasing orbit Remember
Orbit_phasing
Concept in gravitational orbital mechanics
perpendicular at apoapsis and periapsis, conservation of angular momentum requires specific angular momentum h = r p v p = r a v a = constant {\displaystyle
Vis-viva_equation
Cartesian vectors of position and velocity of an orbiting body in space
{\displaystyle \mathbf {v} } ) can be easily used to compute the specific angular momentum vector as h = r × v {\displaystyle \mathbf {h} =\mathbf {r} \times
Orbital_state_vectors
Application of mechanical dynamics to model the flight of space vehicles
specific angular momentum, h, of the initial and final orbits are equal in magnitude but not in direction. Therefore, the change in specific angular momentum
Spacecraft_flight_dynamics
Pictorial computational technique in quantum chemistry
notably quantum chemistry, angular momentum diagrams, or more accurately from a mathematical viewpoint angular momentum graphs, are a diagrammatic method
Angular momentum diagrams (quantum mechanics)
Angular_momentum_diagrams_(quantum_mechanics)
Term in geometry; longest and shortest semidiameters of an ellipse
orbital period is the same, disregarding their eccentricity. The specific angular momentum h of a small body orbiting a central body in a circular or elliptical
Semi-major and semi-minor axes
Semi-major_and_semi-minor_axes
Term from classical mechanics
conservation of angular momentum. Areal velocity is closely related to angular momentum. Any object has an orbital angular momentum about an origin,
Areal_velocity
Mathematical model in astronomical systems
is characterized by specific energy E = 1 2 v 2 + Φ ( r ) {\textstyle E={\frac {1}{2}}v^{2}+\Phi (r)} and specific angular momentum L = | r → × v → | {\displaystyle
Plummer_model
Laws describing planetary orbits
Laplace–Runge–Lenz vector Specific relative angular momentum, relatively easy derivation of Kepler's laws starting with conservation of angular momentum In 1621, Johannes
Kepler's laws of planetary motion
Kepler's_laws_of_planetary_motion
Astrodynamic equation
Celestial mechanics There is a related parameter, known as the specific relative angular momentum, h {\displaystyle h} . It is related to ℓ {\displaystyle \ell
Orbit_equation
Theory to explain slowing of a star's spin
Magnetic braking is the process by which a star loses angular momentum due to a coupling between its solar wind and magnetic field. Magnetic braking plays
Magnetic_braking_(astronomy)
Angular speed required for a body to complete one orbit
motion do not change: the angular momentum and the mechanical energy. The first constant, called specific angular momentum, can be defined as h = 2 d
Mean_motion
Defining the orbit of an object in space
longitude of the ascending node can be calculated from the specific relative angular momentum vector h as follows: n = k × h = ( − h y , h x , 0 ) Ω = {
Longitude of the ascending node
Longitude_of_the_ascending_node
Quotient of a quantity by mass
material Specific orbital energy, orbital energy per unit mass Specific power, per unit of mass (or volume or area) Specific relative angular momentum, of
Specific_quantity
The Moon's circuit around Earth
orbital angular momentum causes the Earth–Moon distance to increase at approximately 38 millimetres per year. Conservation of angular momentum means that
Orbit_of_the_Moon
Angle between a reference plane and the plane of an orbit
Sun's equator or the invariable plane (the plane that represents the angular momentum of the Solar System, approximately the orbital plane of Jupiter). The
Orbital_inclination
Orbit around Earth between 160 and 2000 km
communication satellites use much higher geostationary orbits and move at the same angular velocity as the Earth as to appear stationary above one location on the
Low_Earth_orbit
Either of two extreme points in a celestial object's orbit
conservation of angular momentum) and the conservation of energy, these two quantities are constant for a given orbit: Specific relative angular momentum h = (
Apsis
Equation giving the form of a central force
\theta } . Define the specific angular momentum as h = L / m {\displaystyle h=L/m} where L {\displaystyle L} is the angular momentum and m {\displaystyle
Binet_equation
Estimate of total change in velocity of a space mission
very far away from the Sun, then use a negligible Δv to bring the angular momentum to zero, and then fall into the Sun. This sequence of two Hohmann transfers
Delta-v_budget
Concept in celestial mechanics
^{2}r^{3}}{T^{2}}},} where r is the orbit radius, v is the orbital speed, ω is the angular speed, and T is the orbital period. This can be generalized for elliptic
Standard gravitational parameter
Standard_gravitational_parameter
Equilibrium points near two orbiting bodies
which is increased or decreased by the perturbation (either gravity or angular momentum-induced speed) will also increase or decrease, bending the object's
Lagrange_point
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
Physical constant in quantum mechanics
relates the energy of a photon to its angular frequency, and the linear momentum of a particle to the angular wavenumber of its associated matter wave
Planck_constant
Measure of amount of effort to change trajectory
provided by a propulsion system can be achieved by: staging increasing specific impulse improving propellant mass fraction Because the mass ratios apply
Delta-v
Specifies the orbit of an object in space
the position of that body in the classical two-body problem. It is the angular distance from the pericenter which a fictitious body would have if it moved
Mean_anomaly
Transfer manoeuvre between two orbits
very far away from the Sun, then use a negligible Δv to bring the angular momentum to zero, and then fall into the Sun. This is also known as a bi-elliptic
Hohmann_transfer_orbit
Estimation of orbits of objects
from one state vector are summarized as follows: Compute the specific angular momentum h → {\displaystyle {\vec {h}}} of the orbiting body from its state
Orbit_determination
Amount by which an orbit deviates from a perfect circle
gravitational parameter based on the total mass, and h the specific relative angular momentum (angular momentum divided by the reduced mass). For the hyperbolic
Orbital_eccentricity
Propulsive maneuver used to arrive at the Moon
while the spacecraft is flying passively towards the moon under its own momentum and influenced by terrestrial and lunar gravity – is called translunar
Trans-lunar_injection
Characteristic of conic sections
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Eccentricity_(mathematics)
Mathematical equation describing the motion of a rocket
mass with high velocity and can thereby move due to the conservation of momentum. The equation is named after—and usually credited to—Konstantin Tsiolkovsky
Tsiolkovsky_rocket_equation
Speed at which a body orbits around the barycenter of a system
distance to the central body because of the law of conservation of angular momentum, or equivalently, Kepler's second law. This states that as a body moves
Orbital_speed
Earth-centered orbit above low Earth orbit and below geostationary orbit
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Medium_Earth_orbit
with sufficient gravitational force. Radial orbit: An orbit with zero angular momentum and eccentricity equal to 1. The two objects move directly towards
List_of_orbits
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
Movement during spaceflight
path of a spacecraft. The "assist" is provided by the motion (orbital angular momentum) of the gravitating body as it pulls on the spacecraft. The technique
Orbital_maneuver
Parameters that define a specific orbit
Orbital elements are the parameters required to uniquely identify a specific orbit. In celestial mechanics these elements are considered in two-body systems
Orbital_elements
Spaceflight maneuver
ecliptic North and the vector normal to the orbit plane, (i.e. the angular momentum vector). This means that inclination is always positive and is entangled
Orbital_inclination_change
Curved path of an object around a point
during equal intervals of time). The constant of integration, h, is the angular momentum per unit mass. In order to get an equation for the orbit from equation
Orbit
Trajectory of Earth around the Sun
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Earth's_orbit
Periodic, three-dimensional orbit
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Near-rectilinear_halo_orbit
Concept in astrodynamics
trajectories, all hyperbolic trajectories are also escape trajectories. The specific energy of a hyperbolic trajectory orbit is positive. Planetary flybys,
Hyperbolic_trajectory
Spacecraft end-of-life orbit
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Graveyard_orbit
Type of spacecraft maneuver
the instantaneous mass m {\displaystyle m} to express this in terms of specific energy ( e k {\displaystyle e_{k}} ), we get d e k d t = F m ⋅ v = a ⋅
Oberth_effect
Problem in physics and celestial mechanics
integrals of the motion. Rotational symmetry results in the total angular momentum being constant A = ∑ i = 1 n q i × p i , {\displaystyle \mathbf {A}
N-body_problem
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
Fluid instability that causes turbulence in accretion disks
the radial derivative of the angular momentum per unit mass, or specific angular momentum. The specific angular momentum must increase outward if stable
Magnetorotational_instability
Satellite orbit with high inclination
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Polar_orbit
Vector in celestial mechanics
the velocity vector h {\displaystyle \mathbf {h} \,\!} is the specific angular momentum vector (equal to r × v {\displaystyle \mathbf {r} \times \mathbf
Eccentricity_vector
Quantum number parameterizing spin and angular momentum
quantum number (designated s) that describes the intrinsic angular momentum (or spin angular momentum, or simply spin) of an electron or other particle. It
Spin_quantum_number
Property of a mass in motion
In Newtonian mechanics, momentum (pl.: momenta or momentums; more specifically linear momentum or translational momentum) is the product of the mass and
Momentum
Orbit keeping the satellite at a fixed longitude above the equator
vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits v t e Spaceflight
Geosynchronous_orbit
Space navigation technique
pulls on the spacecraft. Any gain or loss of kinetic energy and linear momentum by a passing spacecraft is correspondingly lost or gained by the gravitational
Gravity_assist
Periodic, three-dimensional orbit
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Halo_orbit
Characteristic of accretion discs
{z}}&=-\partial _{z}\Phi \end{aligned}}} The second line implies that the specific angular momentum is conserved. We can then define an effective potential Φ eff
Epicyclic_frequency
Orbital data format
future can be estimated to some accuracy. The TLE data representation is specific to the simplified perturbations models (SGP, SGP4, SDP4, SGP8 and SDP8)
Two-line_element_set
Concept in celestial mechanics
different formulas. Because the system has to obey the law of conservation of momentum we see that both the larger and the smaller mass must be accelerated in
Escape_velocity
Circular orbit above Earth's Equator and following the direction of Earth's rotation
kilometres (22,236 miles). The orbital speed is calculated by multiplying the angular speed by the orbital radius: v = ω r ≈ 3074.6 m/s {\displaystyle v=\omega
Geostationary_orbit
Movement around a celestial body that remains below its Karman line
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Transatmospheric_orbit
Type of high-latitude satellite orbit
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Molniya_orbit
Geocentric orbit with an altitude entirely above that of a geosynchronous orbit
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
High_Earth_orbit
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Longitude_of_periapsis
Spacecraft launch or descent maneuver
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Gravity_turn
Concept in orbital mechanics
body's orbit is generally inclined to the ecliptic, therefore define the angular distance from ♈︎ to the place where the orbit crosses the ecliptic from
Mean_longitude
Quasi-periodic orbital trajectory
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Lissajous_orbit
Orbit around the barycenter of the Sun
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Heliocentric_orbit
System for specifying positions of celestial objects
from the south point, turning positive to the west. Zenith distance, the angular distance along the great circle from the zenith to a celestial object,
Astronomical coordinate systems
Astronomical_coordinate_systems
Measurement unit derived from basic metric value
moment of inertia m2⋅kg newton metre second per kilogram N⋅m⋅s/kg specific angular momentum m2⋅s−1 watt per steradian W/sr radiant intensity m2⋅kg⋅s−3 watt
SI_derived_unit
Orbital perturbations
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Osculating_orbit
Table of positions of astronomical objects at given times
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Ephemeris
Transfer orbit used to reach geosynchronous or geostationary orbit
system for putting a space vehicle into orbit, using thrusters of high specific impulse. USPTO. Curtis, H. D. (2010) Orbital Mechanics for Engineering
Geostationary_transfer_orbit
Integral of a comparatively larger force over a short time interval
classical mechanics, impulse (symbolized by J or Imp) is the change in momentum of an object. It is most often used to describe forces which act over short
Impulse_(physics)
Hadron (subatomic particle) that is composed of three quarks
The total angular momentum (total angular momentum quantum number J) of a particle is therefore the combination of intrinsic angular momentum (spin) and
Baryon
Paths of particles in the Schwarzschild solution to Einstein's field equations
{dt}{d\tau }}={\frac {E}{mc^{2}}}.} and the other is the specific angular momentum: h = L μ = r 2 d φ d τ , {\displaystyle h={\frac {L}{\mu }}=r^{2}{\frac
Schwarzschild_geodesics
Kind of planetary orbit
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Supersynchronous_orbit
Type of spacecraft orbit
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Distant_retrograde_orbit
Time period during which a rocket must launch to reach its target
zones for USA launches). For trips into largely arbitrary Earth orbits, no specific launch time is required. But if the spacecraft intends to rendezvous with
Launch_window
Type of co-orbital motion of a small orbiting body relative to a larger orbiting body
satellite into a higher orbit which (per Kepler's third law) decreases its angular speed. When the satellite gets to point B, it is traveling at the same
Horseshoe_orbit
Temporary orbit used during the launch of a spacecraft
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Parking_orbit
Function describing an electron in an atom
respectively correspond to an electron's energy, its orbital angular momentum, and its orbital angular momentum projected along a chosen axis (magnetic quantum number)
Atomic_orbital
Exact solution in general relativity
{\theta }}}}=0} immediately yields the constant relativistic specific angular momentum S 2 = L = r 2 θ ˙ ; {\displaystyle S_{2}=L=r^{2}{\dot {\theta
Reissner–Nordström_metric
Time an astronomical object takes to complete one orbit around another object
plane of the ecliptic is often held fixed at the position it occupied at a specific epoch, the orbital plane of the object still precesses, causing the draconitic
Orbital_period
Orbit of an object around the Moon
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Lunar_orbit
Type of orbital maneuver
this is done so that the comparison is general (i.e. not dependent of the specific values of r 1 {\displaystyle r_{1}} and r 2 {\displaystyle r_{2}} , only
Bi-elliptic_transfer
Low-energy trajectories in the Solar System
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Interplanetary Transport Network
Interplanetary_Transport_Network
Spaceflight where spacecraft orbits an astronomical body
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Orbital_spaceflight
Quasiperiodic orbit around a Lagrange point
Orbital state vectors Perturbation Retrograde and prograde motion Specific orbital energy Specific angular momentum Two-line elements List of orbits
Libration_point_orbit
SPECIFIC ANGULAR-MOMENTUM
SPECIFIC ANGULAR-MOMENTUM
Girl/Female
French Spanish American Italian Latin Greek
Angel.
Girl/Female
Hindu, Indian, Malayalam, Marathi, Sanskrit, Sikh, Tamil
Aim; Destination; Who has a Specific Goal Everywhere; Target
Girl/Female
Arabic
Precious; Lord of Specific Wood
Girl/Female
Christian & English(British/American/Australian)
Angelic
Girl/Female
Indian, Tamil
Lovely; Kind-hearted
Boy/Male
Gujarati, Hindu, Indian, Kannada
Spark of Fire
Boy/Male
Indian, Sanskrit
Praising; A Hymn
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Tamil, Telugu
Not Wild; Gentle
Girl/Female
American, Australian, British, English
Beautiful Goddess
Boy/Male
Arabic, Muslim, Parsi, Pashtun
Embers
Girl/Female
American, Australian, Christian, Nigerian
Flaxen; Pacific Islander
Female
English
Feminine form of Latin Angelus, ANGELA means "angel, messenger."
Boy/Male
Indian, Sanskrit
Radiant; Bright; Enlightening
Girl/Female
Muslim
Unique, Singular
Boy/Male
Hindu, Indian, Kannada, Tamil
Witty; Super
Boy/Male
Tamil
Hayagriv | ஹயாகà¯à®°à®¿à®µ
One of krishnas incarnations. specific to education
Hayagriv | ஹயாகà¯à®°à®¿à®µ
Boy/Male
Indian, Sanskrit
Calmed; Pacific Sea
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
Boy/Male
Arabic, Hindu, Indian, Muslim
Shining
Boy/Male
Hindu
One of krishnas incarnations. specific to education
SPECIFIC ANGULAR-MOMENTUM
SPECIFIC ANGULAR-MOMENTUM
Girl/Female
Latin
Of thesea.
Boy/Male
Indian, Tamil
Bright
Biblical
a commandment of the mouth
Boy/Male
Norse
Great.
Boy/Male
Muslim
One who lives in solitude
Boy/Male
Tamil
This is the tree where Buddha did meditate and gained lot of knowledge ... so it can also be considered as tree of knowledge, Banyan tree
Boy/Male
Tamil
Lord of fragrance
Girl/Female
Tamil
Sosamma | ஸோஸமà¯à®®à®¾
Sacred river, Good smell
Boy/Male
Tamil
Son of ky, Home sweet home
Girl/Female
Australian, French, German
Bear; Courageous; Feminine of Bernard
SPECIFIC ANGULAR-MOMENTUM
SPECIFIC ANGULAR-MOMENTUM
SPECIFIC ANGULAR-MOMENTUM
SPECIFIC ANGULAR-MOMENTUM
SPECIFIC ANGULAR-MOMENTUM
adv.
In an angular manner; with of at angles or corners.
imp. & p. p.
of Specify
pl.
of Ungula
n.
The singular number, or the number denoting one person or thing; a word in the singular number.
v. t.
To make angular.
a.
Conformed to a rule; agreeable to an established rule, law, principle, or type, or to established customary forms; normal; symmetrical; as, a regular verse in poetry; a regular piece of music; a regular verb; regular practice of law or medicine; a regular building.
a.
Specific.
a.
Of or pertaining to a species; characterizing or constituting a species; possessing the peculiar property or properties of a thing which constitute its species, and distinguish it from other things; as, the specific form of an animal or a plant; the specific qualities of a drug; the specific distinction between virtue and vice.
a.
Having the form of a ring; annular.
a.
Of or pertaining to the jugular vein; as, the jugular foramen.
a.
Constituted, selected, or conducted in conformity with established usages, rules, or discipline; duly authorized; permanently organized; as, a regular meeting; a regular physican; a regular nomination; regular troops.
n.
A specific remedy. See Specific, a., 3.
a.
Fig.: Lean; lank; raw-boned; ungraceful; sharp and stiff in character; as, remarkably angular in his habits and appearance; an angular female.
a.
Specifying; definite, or making definite; limited; precise; discriminating; as, a specific statement.
adv.
In an angular manner; angularly.
a.
Not angular.
a.
Exerting a peculiar influence over any part of the body; preventing or curing disease by a peculiar adaption, and not on general principles; as, quinine is a specific medicine in cases of malaria.
a.
Measured by an angle; as, angular distance.
a.
Pertaining to, or having the form of, a ring; forming a ring; ringed; ring-shaped; as, annular fibers.
a.
Relating to an angle or to angles; having an angle or angles; forming an angle or corner; sharp-cornered; pointed; as, an angular figure.