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A two-state trajectory (also termed two-state time trajectory or a trajectory with two states) is a dynamical signal that fluctuates between two distinct
Two-state_trajectory
Topics referred to by the same term
Two-state (or variants) may refer to: Two-state quantum system, in physics Two-state trajectory in biophysics Two-state solution, a proposed solution
Two-state
walks that generate two-state trajectories (see Fig. 1 for an example of a RDF and Fig. 2 for an example of a two-state trajectory). It has been shown
Reduced_dimensions_form
Type of non-sinusoidal waveform
counterpart is a two-state trajectory. Square waves are universally encountered in digital switching circuits and are naturally generated by binary (two-level)
Square_wave_(waveform)
Concept in astrodynamics
celestial mechanics, a hyperbolic trajectory or hyperbolic orbit (from Newtonian theory: hyperbola shape) is the trajectory of any object around a central
Hyperbolic_trajectory
Space of all possible states that a system can take
evolving state over time traces a path (a phase-space trajectory for the system) through the high-dimensional space. The phase-space trajectory represents
Phase_space
Propulsive maneuver used to arrive at the Moon
maneuver used to send a spacecraft toward the Moon. Typical lunar transfer trajectories approximate Hohmann transfers, although low-energy transfers have also
Trans-lunar_injection
Motion of launched objects due to gravity
sports science and natural phenomena. Galileo Galilei showed that the trajectory of a given projectile is parabolic, but the path may also be straight
Projectile_motion
Process of developing trajectory performance
Trajectory optimization is the process of designing a trajectory that minimizes (or maximizes) some measure of performance while satisfying a set of constraints
Trajectory_optimization
Type of orbit
In astrodynamics or celestial mechanics a parabolic trajectory is a Kepler orbit with the eccentricity (e) equal to 1 and is an unbound orbit that is exactly
Parabolic_trajectory
Failed NASA mission to Mars (1998–1999)
perform trajectory corrections and four 0.9 N (3.2 ozf) thrusters to control attitude. Orientation of the spacecraft was determined by a star tracker, two Sun
Mars_Climate_Orbiter
Space navigation technique
spacecraft traveling between two planets could be accelerated at the beginning and end of its trajectory by using the gravity of the two planets' moons. The portion
Gravity_assist
First crewed mission of the Artemis program
first crewed lunar flight of the Apollo program, while its free-return trajectory resembled that flown by Apollo 13 in 1970. Among the four crew members
Artemis_II
Cartesian vectors of position and velocity of an orbiting body in space
the trajectory of the orbiting body in space. Orbital state vectors come in many forms including the traditional Position-Velocity vectors, Two-line
Orbital_state_vectors
dynamics). The results in many experiments of individual molecules are two-state trajectories. As in the case of single molecule fluorescence spectroscopy, the
Single-molecule_experiment
Topics referred to by the same term
fluctuation Reduced dimensions form, a canonical mechanism for solving two-state trajectories Relative directivity factor, a figure of merit for directional receiving
RDF
Concept within modeling and systems analysis
and two event trajectories ω 1 {\displaystyle \omega _{1}} and ω 2 {\displaystyle \omega _{2}} are contiguous. Two contiguous state trajectories ( q
DEVS
Curved path of an object around a point
In celestial mechanics, an orbit is the curved trajectory of an object under the influence of an attracting force. Alternatively, it is known as an orbital
Orbit
Missile that follows a sub-orbital ballistic flightpath
A ballistic missile is a type of missile that follows a ballistic trajectory and is powered only during a relatively brief initial period—most of the flight
Ballistic_missile
Form of government
good life. There is substantial variability in the form and trajectory of the welfare state across countries and regions. All welfare states entail some
Welfare_state
Parameters that define a specific orbit
bodies, only the trajectory of the opposite body is apparent; Keplerian elements describe these non-inertial trajectories. An orbit has two sets of Keplerian
Orbital_elements
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
Spaceflight where the spacecraft does not go into orbit
spaceflight is a spaceflight in which the vehicle reaches outer space, but its trajectory intersects the surface of the gravitating body from which it was launched
Sub-orbital_spaceflight
Study of the analytic properties of scattering amplitudes
{\displaystyle l(s)} is known as the Regge trajectory function, and when it is an integer, the particles form an actual bound state with this angular momentum. The
Regge_theory
Disorder of consciousness caused by severe brain damage
vegetative state (VS) or post-coma unresponsiveness (PCU) is a disorder of consciousness in which patients with severe brain damage are in a state of partial
Vegetative_state
Computational technique
Trajectory inference or pseudotemporal ordering is a computational technique used in single-cell transcriptomics to determine the pattern of a dynamic
Trajectory_inference
Overview of prospective state mergers
25 de Abril de 1974". MacQueen, Norrie (1 February 2006). "Widening trajectories: Guinea Bissau and Cape Verde since independence". Relações Internacionais
List of proposed state mergers
List_of_proposed_state_mergers
Astrodynamic equation
elliptic orbit, parabolic trajectory, hyperbolic trajectory, or radial trajectory) with the central body located at one of the two foci, or the focus (Kepler's
Orbit_equation
Transfer manoeuvre between two orbits
"Trajectories". Retrieved 26 July 2017. Also available spaceodyssey.dmns.org Archived 2017-07-28 at the Wayback Machine. Tyson Sparks, Trajectories to
Hohmann_transfer_orbit
Kepler orbit with an eccentricity of less than one
eccentric or elongated orbit (e near 1). Examples of elliptic orbits or trajectories for satellites include Hohmann transfer orbits, Molniya orbits, and tundra
Elliptic_orbit
Interstellar comet in 2025
Alert System (ATLAS) station. The comet follows an unbound, hyperbolic trajectory past the Sun, and passed by Earth at 1.8 AU, posing no threat. The prefix
3I/ATLAS
Physics experiment
statistical map of the full trajectory landscape. In 1967, Pfleegor and Mandel demonstrated two-source interference using two separate lasers as light sources
Double-slit_experiment
Idea that small causes can have large effects
in meteorology. In 1898, Jacques Hadamard noted general divergence of trajectories in spaces of negative curvature. Pierre Duhem discussed the possible
Butterfly_effect
Single-particle trajectories (SPTs) consist of a collection of successive discrete points causal in time. These trajectories are acquired from images in
Single-particle_trajectory
1947 book by George Gamow
Theoretical physicist Sean M. Carroll credited One Two Three... Infinity with setting the trajectory of his professional life. Cognitive scientist Steven
One_Two_Three..._Infinity
Orbital data format
of the SGP models to correctly compute the state at a time of interest. TLEs can describe the trajectories only of Earth-orbiting objects. TLEs are widely
Two-line_element_set
Method to calculate trajectory calculations for spacecraft
astrodynamics, the patched conic approximation or patched two-body approximation is a method to simplify trajectory calculations for spacecraft in a multiple-body
Patched_conic_approximation
Behavior in a nonlinear system
systems with two-dimensional phase space, a limit cycle is a closed trajectory in phase space having the property that at least one other trajectory spirals
Limit_cycle
Formulation of quantum mechanics
Quantum Trajectory Theory (QTT) is a formulation of quantum mechanics used for simulating open quantum systems, quantum dissipation and single quantum
Quantum_Trajectory_Theory
Fuel-efficient orbital maneuver
A low-energy transfer, or low-energy trajectory, is a route in space that allows spacecraft to change orbits using significantly less fuel than traditional
Low-energy_transfer
Quasi-periodic orbital trajectory
Animation of WMAP's trajectory In orbital mechanics, a Lissajous orbit (pronounced [li.sa.ʒu]), named after Jules Antoine Lissajous, is a quasi-periodic
Lissajous_orbit
Orbit of an object around the Moon
perturbations that make most unstable, and leave only a few orbital trajectories possible for indefinite frozen orbits. These would be useful for long-term
Lunar_orbit
State highway in Florida, United States
across the Florida peninsula, State Road 70 (SR 70) spans five Florida counties and straddles the northern boundaries of two more. Its western terminus is
Florida_State_Road_70
Businessman and public official (born 1971)
or shareholders or customers, and Musk, if he continues on his current trajectory, may very well be abandoned by all three. Aristotle says a good ending
Elon_Musk
Science of the motion of projectiles
during the relatively brief initial phase of powered flight, with the trajectory subsequently governed by the laws of classical mechanics, in contrast
Ballistics
Interstellar comet in 2019
9,000 years to travel a light-year relative to the Sun. 2I/Borisov's trajectory is extremely hyperbolic, having an orbital eccentricity of 3.36. This
2I/Borisov
Concept in celestial mechanics
escape from contact with or orbit of a primary body, assuming: Ballistic trajectory – no other forces are acting on the object, such as propulsion and friction
Escape_velocity
2026 film by Baltasar Kormákur
gave the film two stars out of five, stating "It's hard not to be cynical about movies like Apex, or to second guess its format: a trajectory whereby the
Apex_(2026_film)
Mathematical model of a system in control engineering
state to any desired final state, observability provides that knowing an output trajectory provides enough information to predict the initial state of
State-space_representation
Force directed to the center of rotation
curvature of the object's trajectory. The centripetal acceleration can be inferred from the diagram of the velocity vectors at two instances. In the case
Centripetal_force
Mathematical entity to describe the probability of each possible measurement on a system
then we can use equations containing the force of gravity to predict the trajectory of a cannon ball precisely. Similarly, quantum states consist of sets
Quantum_state
Temporary orbit used during the launch of a spacecraft
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
Parking_orbit
American actor (born 1986)
Grande". 23 April 2015 – via www.youtube.com. "'The Other Two': Drew Tarver on Cary's New Trajectory & What's Ahead". Collider. 31 May 2023. "Drew Tarver Promises
Drew_Tarver
Russian intermediate-range ballistic missile
destruction". The launch appears to have been conducted with a lofted trajectory. Eyewitnesses reported that the 21 November attack on Dnipro, which included
Oreshnik_(missile)
Movement during spaceflight
modelled as a point mass for preliminary design purposes. A low-thrust trajectory is typically computed using optimal control theory. In astronautics, the
Orbital_maneuver
1958 video game
research institution's Donner Model 30 analog computer could simulate trajectories with wind resistance. He designed the game within a few hours, after
Tennis_for_Two
North Korean short-range ballistic missile
solid-fueled SRBMs. Analysts believe the missile, with its quasi-ballistic trajectory and a range of up to 900 km (560 mi), may be able to penetrate South Korean
Hwasong-11A
Pharaoh of Egypt from 51 to 30 BC
Braeckel, Oliver (22 December 2020). "Did volcano eruptions alter the trajectories of the Roman Republic and the Ptolemaic Kingdom? Moving beyond black-box
Cleopatra
Compact astronomical body
photon sphere, any light that crosses the photon sphere on an inbound trajectory will be captured by the black hole. Therefore, any light that reaches
Black_hole
1963 autopsy of the 35th U.S. president
around 40 small bullet fragments along the bullet's trajectory through Kennedy's head, with two large enough to be of interest to investigators. Drs
Autopsy_of_John_F._Kennedy
Measure in astrodynamics
velocity squared, or energy per mass. Every object in a 2-body ballistic trajectory has a constant specific orbital energy ϵ {\displaystyle \epsilon } equal
Characteristic_energy
Foundation model allowing control of robot actions
dataset that pairs visual observation and language instructions with robot trajectories. These models combine a vision-language encoder (vision transformer)
Vision–language–action_model
Mathematical model of the time dependence of a point in space
have two numbers describing a state are examples of dynamical systems where the possible classes of orbits are understood. The behavior of trajectories as
Dynamical_system
Intercontinental ballistic missile
North Korea has only fired long-range ballistic missiles on lofted trajectories, in part because tracking can only be done from land-based sensors. The
Hwasong-17
Laws in physics about force and motion
Movement is represented by these numbers changing over time: a body's trajectory is represented by a function that assigns to each value of a time variable
Newton's_laws_of_motion
Spacecraft launch or descent maneuver
an orbit around a celestial body such as a planet or a moon. It is a trajectory optimization that uses gravity solely through the vehicle's own thrust
Gravity_turn
American singer and actress (born 1969)
a Latina". Lopez's music has been credited with helping influence the trajectory of 2000s music, including dance music, Latin music, R&B, and pop rap collaborations
Jennifer_Lopez
State in western India
Suran, B (10 June 2012). "Is Agriculture in Gujarat on a Different Growth Trajectory?". Social Science Research Network. National Bank for Agriculture and
Gujarat
China crewed lunar surface lander
pseudostate trajectory model to optimize the computational efficiency of trajectory design and landing site/time selection; the pseudostate trajectory model
Lanyue
State highway in Alabama, United States
westward. The concurrency of the two highways ends east of Union Springs. SR 51 then resumes a northeastward trajectory until it approaches Hurtsboro. The
Alabama_State_Route_51
Mission to Saturn (1997–2017)
(December 2000). The mission ended on September 15, 2017, when Cassini's trajectory took it into Saturn's upper atmosphere and it burned up in order to prevent
Cassini–Huygens
Theory describing chemical reaction rates
very short-lived, TST fails. In such cases, the momentum of the reaction trajectory from the reactants to the intermediate can carry forward to affect product
Transition_state_theory
System in control theory
the vector field of the observer has a crease in it so that observer trajectories slide along a curve where the estimated output matches the measured output
State_observer
Low-energy trajectories in the Solar System
The ITN makes particular use of Lagrange points as locations where trajectories through space can be redirected using little or no energy. These points
Interplanetary Transport Network
Interplanetary_Transport_Network
Interstellar object that passed near Earth in 2017
Arthur C. Clarke. Observations and conclusions concerning ʻOumuamua's trajectory were primarily obtained with data from the Pan-STARRS1 Telescope, part
1I/ʻOumuamua
American psychological scientist and neuroscientist
Psychology, 2005. Fellow, American Psychological Association, 2005. Career Trajectory Award, Society of Experimental Social Psychology, 2006. Cattell Fund Fellowship
Lisa_Feldman_Barrett
Principle in optimal control theory for best way to change state in a dynamical system
optimal control along with the optimal state trajectory to solve the so-called Hamiltonian system, which is a two-point boundary value problem, plus a maximum
Pontryagin's maximum principle
Pontryagin's_maximum_principle
Motion of charged particles
exhibited by charged particles in a uniform magnetic field. The circular trajectory of a particle in cyclotron motion is characterized by an angular frequency
Cyclotron_motion
Field of mathematics and science based on non-linear systems and initial conditions
significantly different future paths or trajectories. Thus, an arbitrarily small change or perturbation of the current trajectory may lead to significantly different
Chaos_theory
Mountain pass and archaeological site in Colorado, USA
National Grassland (ARP) for an archaeological survey along the known trajectory of Moffat [R]oad." United States portal Colorado portal Mountains portal
Rollins_Pass
State highway in Texas, United States
before turning north toward Blessing, where it resumes its northeasterly trajectory toward Bay City and Angleton. From here, SH 35 takes a turn to the north-northwest
Texas_State_Highway_35
Country in Europe
K. (3 April 2025). "[The COVID-19 pandemic in Germany: mental health trajectories, resilient and vulnerable groups]". Der Nervenarzt. 96 (3): 266–271.
Germany
Polynomial equation of degree two
most two solutions. If there is only one solution, one says that it is a double root. If all the coefficients are real numbers, there are either two real
Quadratic_equation
2023–2024 concert tour by Taylor Swift
understanding of herself, building a tour "solely devoted to the idea of a trajectory—that of a career, of a musical identity, of a life—that can be traced
The_Eras_Tour
{\displaystyle \varpi =\Omega +\omega } which are derived from the orbital state vectors. Define the following: i, inclination ω, argument of perihelion
Longitude_of_periapsis
Highway in Florida
same street name until the road approaches State Road 26A, where West Newberry follows the same trajectory onto Southwest Second Avenue, while SR 26 moves
Florida_State_Road_26
Periodic, three-dimensional orbit
precise trajectories could be computed numerically. Additionally, she found that for most values of the ratio between the masses of the two bodies (such
Halo_orbit
Highway in Florida
becomes County Road 25A. The road runs in a straight northwest to southeast trajectory until it curves to the southwest and terminates at US 41/SR 25/SR 100
Florida_State_Road_25
Theoretical paradox resulting from time travel
that there exist self-consistent extensions for every possible initial trajectory, although this has not been proven. The lack of constraints on initial
Temporal_paradox
Phenomena in quantum physics
|B\rangle } are two possible orthogonal trajectories of the particle. The state | Ψ ⟩ {\displaystyle |\Psi \rangle } is called the preselected state. A filter
Quantum_Cheshire_cat
Measure of amount of effort to change trajectory
than mass ratios which would require multiplication. When designing a trajectory, delta-v budget is used as a good indicator of how much propellant will
Delta-v
State of Venezuela
see a great variety of floats, and artistic musical shows of recognized trajectory, The International Fair of Barquisimeto which begins on September 14 (anniversary
Lara_(state)
Upcoming video game
Nintendo Switch 2 could help the video game market 'get back on a growth trajectory' if they both release in 2025, says analyst". GamesRadar+. Future plc
Grand_Theft_Auto_VI
curves to the northeast. The first intersection it encounters along this trajectory is Fire Department Avenue, which as appropriately named leads to the Argyle
List of former state roads in Florida (1–99)
List_of_former_state_roads_in_Florida_(1–99)
Association football club in Spain
Vigo 3–4 on aggregate. These slips, however, did not affect the overall trajectory of the season. In May, Madrid won the league title for a record 33rd time
Real_Madrid_CF
American actress and singer (born 1987)
World Music Award, seven Kids' Choice Awards, four Teen Choice Awards, and two Young Artist Awards. In 2026, Time named her one of the 100 most influential
Hilary_Duff
Branch of the Islamic State in Libya
original on 3 February 2016. Retrieved 4 February 2016. "The Islamic State's Uneven Trajectory in Libya". Jamestown. Jamestown Foundation. 17 September 2015
Islamic State – Libya Province
Islamic_State_–_Libya_Province
State highway in Alabama, United States
north-to-south. Upon leaving Enterprise, the highway assumes a northeastward trajectory as it leads into Dale County. East of Ozark, the highway, while still
Alabama_State_Route_27
State highway in Alabama, United States
US 231 and Interstate 59 (I-59). It travels in a generally northeastward trajectory as it heads from Oneonta and travels through rural Blount County. Altoona
Alabama_State_Route_132
Ongoing armed conflict in Southeast Asia
in the Anya theater of Central Myanmar starting in 2021 changed this trajectory. Without the presence of EAOs, the Bamar PDF groups are characterized
Myanmar civil war (2021–present)
Myanmar_civil_war_(2021–present)
TWO STATE-TRAJECTORY
TWO STATE-TRAJECTORY
Girl/Female
Indian, Kashmiri
State Honour
Boy/Male
Arabic
Leadership; State
Boy/Male
English Scandinavian American Irish Native American
Cheerful.
Surname or Lastname
English and Irish
English and Irish : variant of Stacey.
Boy/Male
American, Anglo, Australian, British, Chinese, Christian, English, Finnish, German, Indian, Irish, Norse, Scandinavian
To be Cheerful; Great; Measure of Land; Great Talker
Boy/Male
Arabic
Power; State
Boy/Male
Hindu, Indian
State; Country
Surname or Lastname
English
English : unexplained.
Boy/Male
Arabic
State; Dignity
Girl/Female
American, Anglo, Australian, British, English, Finnish, Irish, Scandinavian
Light Hearted; Cheerful; Pleasant and Bright; Brings Joy; Bright; Great; Measure of Land
Girl/Female
English Scandinavian Anglo Saxon Irish
Brings joy.
Male
Welsh
Welsh form of English Tom, TWM means "twin."
Male
English
English surname transferred to unisex forename use, TATE means "cheerful."
Boy/Male
Arabic
Leadership; State
Boy/Male
Arabic
Power; State
Surname or Lastname
English
English : from the Old English personal name TÄta, possibly a short form of various compound names with the obscure first element tÄt, or else a nursery formation. This surname is common and widespread in Britain; the chief area of concentration is northeastern England, followed by northern Ireland.
Boy/Male
Arabic
State; Condition
Male
Polish
Polish form of Latin Ivo, IWO means "yew tree."
Boy/Male
Celebrity, Hindu, Indian, Telugu
State
Surname or Lastname
English
English : metonymic occupational name for a slater, from Middle English slate ‘slate’.
TWO STATE-TRAJECTORY
TWO STATE-TRAJECTORY
Boy/Male
Muslim
Intelligent
Girl/Female
Indian
Suggest
Girl/Female
Arabic, Muslim
Wealthy; Pure Gold
Boy/Male
Tamil
Mukundhan | à®®à¯à®•à¯à®¨à¯à®¤à®¨
Lord Krishna
Boy/Male
Indian, Sanskrit
Truth Winged
Girl/Female
Indian, Kashmiri, Sanskrit
Small Cluster of Blossoms
Male
English
 Anglicized form of Irish Gaelic Éibhear, EBER means "bow warrior." Compare with other forms of Eber.
Girl/Female
American, Australian, British, Danish, English
Path; Way; Road
Boy/Male
Arabic, Muslim
To Praise; To Describe
Girl/Female
Hindu
The Goddess who is the greatest
TWO STATE-TRAJECTORY
TWO STATE-TRAJECTORY
TWO STATE-TRAJECTORY
TWO STATE-TRAJECTORY
TWO STATE-TRAJECTORY
v. t.
To exhibit upon a stage, or as upon a stage; to display publicly.
a.
Belonging to the state, or body politic; public.
n.
One who states.
v. t.
To endow with an estate.
n.
Rank; condition; quality; as, the state of honor.
v. t.
To cover with slate, or with a substance resembling slate; as, to slate a roof; to slate a globe.
n.
One of several marked phases or periods in the development and growth of many animals and plants; as, the larval stage; pupa stage; zoea stage.
v. t.
To express the particulars of; to set down in detail or in gross; to represent fully in words; to narrate; to recite; as, to state the facts of a case, one's opinion, etc.
n.
The bodies that constitute the legislature of a country; as, the States-general of Holland.
a.
Recurring at regular time; not occasional; as, stated preaching; stated business hours.
n.
To break in a stave or the staves of; to break a hole in; to burst; -- often with in; as, to stave a cask; to stave in a boat.
n.
See Skate, for the foot.
n.
Estate; state.
v. t.
To mark the limits of by stakes; -- with out; as, to stake out land; to stake out a new road.
n.
Any body of men united by profession, or constituting a community of a particular character; as, the civil and ecclesiastical states, or the lords spiritual and temporal and the commons, in Great Britain. Cf. Estate, n., 6.
v. t.
To place, as a statue; to form a statue of; to make into a statue.
n.
The state; the general body politic; the common-wealth; the general interest; state affairs.
v. t.
To pierce or wound with a stake.
n.
Estate, possession.
imp. & p. p.
of State