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Topic: Orbital position vector

Related Topics

Orbital angular momentum vector

Eccentricity vector

Orbital state vectors

True anomaly

Keplerian elements

Specific relative angular momentum

Orbital elements

Orbital energy

Argument of periapsis

Eccentric anomaly

Astrodynamics

Mean anomaly

Standard gravitational parameter

Keplerian harmonic law

Inclination

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	On-Orbit Mission Updates
		This is an extremely demanding approach trajectory, from the standpoint of orbital mechanics (natural motion tends to force the vehicles apart) and client visibility (Earth is in the field of view at all times, and represents a source of potential false targets).
		The NextSat transferred a battery orbital replacement unit to the ASTRO, and the ASTRO transferred fuel to the NextSat.
		The Orbital Express team has spent the past several days recovering from this fault and from problems associated with loss of relative navigation at the longer-than-anticipated separation distances for this scenario.
	www.darpa.mil /orbitalexpress/mission_updates.html (1642 words)

	Reference.com/Encyclopedia/Orbital state vectors
		Together, the orbital position vector and orbital velocity vector describe uniquely the state of an orbiting body and thus are called Orbital state vectors.
		Orbital velocity vector together with orbital position vector describe uniquely state of the orbiting body and thus are called Orbital state vectors.
		Orbital state vectors are equivalent to orbital elements (Keplerian elements) and each can be computed with each other (and used to derive other parameters of the orbit).
	www.reference.com /browse/wiki/Orbital_state_vectors (378 words)

	Glossary
		The eccentricity e of the orbital ellipse is one of the "orbital elements" characterizing it.
		Orbital inclination is one of 6 orbital elements.
		Vectors are added like arrows, end to end, and the sum (for two) is the vector from the tail of the first vector to the tip of the second.
	www-spof.gsfc.nasa.gov /stargaze/Sgloss.htm (14613 words)

	True anomaly - Wikipedia, the free encyclopedia
		) is the angle between the direction z-s of periapsis and the current position p of an object on its orbit, measured at the focus s of the ellipse (the point around which the object orbits).
		is orbital position vector (segment sp) of the orbiting body.
		The relations between the radius (position vector magnitude) and the anomalies are:
	en.wikipedia.org /wiki/True_anomaly (165 words)

	Robert Dalling, Physics Teacher at Louisiana School of Math, Science, and the Arts www.lsmsa.edu (Site not responding. Last check: 2007-10-14)
		Vectors are three-dimensional objects in that they have components pointing in each of the x, y, and z directions.
		Position vectors are drawn to represent the location of this person at each of the displayed moments in time.
		The tail of the net displacement vector, which is the sum of the series of vectors, is located in your dorm room and its head is located in the class room.
	www.lsmsa.edu /rdalling/vectors.htm (2896 words)

	Chapter 5 -- Orbital Mechanics (Site not responding. Last check: 2007-10-14)
		Orbital mechanics is the study of the motion of human made objects as they travel around a principal body, in the majority of flights the Earth.
		The spacecraft's velocity is a vector tangent to the satellite's path with a magnitude equal to the spacecraft's speed.
		The inclination is the angle between the orbital plane and the equatorial plane.
	www.space.edu /projects/book/chapter5.html (5633 words)

	The Orbital Recovery Group (Site not responding. Last check: 2007-10-14)
		The Orbital Recovery Group has a worldwide commercial license for this software as well as for the robotic hardware payload that uses some of the same heritage hardware as is in use in space today on the ROKVISS robot on ISS.
		The Orbital Recovery Group pricing structure entirely depends on the customer and its spacecraft, as the cost of life extension is somewhat proportional to the mass of the target spacecraft.
		Orbital Recovery Group will present a number of commercial models to the customer, and work with the client to select the most appropriate.
	www.orbitalrecovery.com /faq.htm (1808 words)

	Space Future - Orbital Considerations in Kankoh-Maru Return Flight Operations
		Of these factors, orbital considerations are the most fundamental since they determine the physical frequency of landing opportunities from a given orbiting hotel to a given landing site, the time taken from departure to landing for a given orbital hotel-landing site pair on each occasion, and other matters.
		The viewpoint of a commercial operator planning orbital passenger flights is different from that of a government space agency performing a research mission; in particular they will generally be trying to maintain or increase their profitability, which leads to a continuous interest in both increasing revenues and reducing costs.
		The fundamental orbital property that is used to achieve correct phasing for landing at a selected site is that lower orbits have shorter periods: For instance, an orbit at 350 km altitude has a period of 91.5 minutes, whereas one at 150 km has a period some 4 minutes shorter.
	www.spacefuture.com /archive/orbital_considerations_in_kankoh_maru_return_flight_operations.shtml (6322 words)

	Attitude control (Site not responding. Last check: 2007-10-14)
		The local orbital reference system is defined at each point of the orbit by three unit vectors.
		Vector L is colinear with position vector P (on the axis between the Earth's centre and the satellite).
		Vector T is perpendicular to the orbital plane (vector L, vector V).
	spot4.cnes.fr /spot4_gb/attitude.htm (1352 words)

	file_nav_name Encyclopedia Index
		The proper orbital elements of an orbit are constants of motion of an object in space that remain practically unchanged ov...
		In astrodynamics or celestial dynamics orbital state vectors (sometimes State Vectors) are vectors of position ()...
		Index notation is used in mathematics to refer to the elements of matrices or the components of a vector.
	www.brainyencyclopedia.com /topics/elements.html (8839 words)

	Basic of Space Flight: Orbital Mechanics
		Inclination is the angular distance between a satellite's orbital plane and the equator of its primary (or the ecliptic plane in the case of heliocentric, or sun centered, orbits).
		The orbital elements discussed at the beginning of this section provide an excellent reference for describing orbits, however there are other forces acting on a satellite that perturb it away from the nominal orbit.
		Orbital transfer becomes more complicated when the object is to rendezvous with or intercept another object in space: both the interceptor and the target must arrive at the rendezvous point at the same time.
	www.braeunig.us /space/orbmech.htm (6626 words)

	Boeing: Integrated Defense Systems - Advanced Systems - Orbital Express - Mission Updates
		Orbital Express consists of the Boeing spacecraft ASTRO (Autonomous Space Transport Robotic Operations) and NextSat, a prototype satellite developed by Ball Aerospace.
		Orbital Express checkouts of the MDA arm and its capabilities continued today with the performance of the Mated Global Video Survey.
		Orbital Express early activation checkouts continued this week with the start of the Fluid Transfer System activation, the completion of the checkout of the ASTRO sensors and sensor computers AC2 and AC3, performance of a moment of inertia test, and completion of a software update on the ASTRO vehicle.
	www.boeing.com /ids/advanced_systems/orbital/updates.html (4193 words)

	The INTERBALL Auroral PROBE orbital elements collections
		It is not possible to avoid this error during the IB_AUR positions prediction on the operations planning stage, but it is possible to avoid this error during such calculations for the next stage, connected with the scientific data processing.
		The resulting modified orbital elements are valid to use for the standard scheme of the forward integration on the time interval Tn - Tn+1 with accuracy not worth then one obtained during orbit determination (with RMS error 30-40 km).
		In all mentioned collections the orbital elements are presented in the same format F1, as a state vectors (the satellite position and velocity) in the inertial frame (Standard reference of the Earth's equator and Equinox J2000).
	www.iki.rssi.ru /vprokhor/indap.htm (489 words)

	Planetary Positions
		The position in the double primed co-ordinate system is thus expressed as the position in the modified planetary co-ordinate system projected onto each of these unit vectors.
		Knowledge of the position of the Earth relative to the Sun is useful for other reasons too, enabling the position of the Sun in the sky, in addition to the planets, to be determined.
		The point is marked by the position of the Earth at that time when the Earth's axis lies in the tangent plane of the orbit, and the Sun (to an Earthbound observer) appears to move northwards.
	www.met.rdg.ac.uk /~ross/Documents/OrbitNotes.html (5100 words)

	Random Works of the Web » Blog Archive » Specific orbital energy (Site not responding. Last check: 2007-10-14)
		In astrodynamics the specific orbital energy (or vis-viva energy) of an orbiting body traveling through space under standard assumptions is the sum of its potential energy () and kinetic energy () per unit mass.
		In this case the specific orbital energy is also referred to as characteristic energy (or) and is equal to the excess specific energy compared to that for an escape orbit (parabolic orbit).
		Thus, if orbital position vector () and orbital velocity vector () are known at one position, and is known, then the energy can be computed and from that, for any other position, the orbital speed.
	random.dragonslife.org /specific-orbital-energy/1443 (871 words)

	Astrodynamic Functions
		BMAGC(IS,IP) returns a 3x3 matrix whose columns are the pole, prime meridian and offset vectors of the dipole magnetic field for satellite IS of planet IP in body-fixed Cartesian coordinates.
		EPHPOS(TSEC,IB1,IB2) is the Cartesian position* vector of body IB1 with respect to body IB2 on a date TSEC seconds after 12:00:00 1 January 2000.
		EPOCHS is the N vector of epochs of the corresponding state vectors in seconds past 12:00:00 1 January 2000.
	cobweb.ecn.purdue.edu /~masl/documents/quick/quick.17/quick.astrodynamic.html (6783 words)

	Celestial Mechanics
		Now that the orbital plane and the direction of the perihelion have been specified by the three orbital elements i, Ω and ψ, we proceed to specify the shape of the orbit by its mean distance a and its eccentricity e.
		The orientation of the orbital plane is specified by the longitude of the ascending node, 58.86004°, and the inclination i = 162.24220°.
		Orbital elements vary only slowly in the solar system, except when there are near encounters, usually of light bodies with massive planets or satellites, that affect the orbits of the light bodies, but not of the heavier ones.
	www.du.edu /~jcalvert/phys/orbits.htm (10768 words)

	CelesTrak: "Orbital Coordinate Systems, Part I"
		Knowing that orbital element sets are generated by fitting observations to a trajectory based upon a particular orbital model is the second of our key aspects.
		Knowing the position alone would not be sufficient, since a satellite with zero velocity would fall to Earth while one with orbital velocity would not, even if the satellites start at the same physical location.
		Since the satellite's position is typically represented by a Keplerian orbital element set and the observer's position is given in latitude, longitude, and altitude above the Earth's surface, we cannot perform the calculation directly without first converting to a common coordinate frame.
	www.celestrak.com /columns/v02n01 (2099 words)

	Orbital State Vector Information
		The Vectors are in the Earth-Centered Inertial (ECI), Mean of 1950 (M50) Coordinate frame in units of meters and meters/sec.
		The Vectors are in the Earth-Centered Inertial (ECI), Mean of 1950 (M50) Coordinate frame in units of ft and ft/sec.
		The Vectors are in the Earth-Fixed Greenwich (EFG) Coordinate frame in units of ft and ft/sec.
	www.amsat.org /amsat/sarex/vectors.html (687 words)

	Simplest Orbital System
		The speeds v and c that occur in this formula are the absolute speed of the orbital system and the absolute speed of light, the speeds with which these objects move through a motionless space, not the relative speed of the orbital system or of the light with respect to other moving objects.
		What is needed to change an orbital system at rest into a moving orbital system or, more generally, to increase the speed of the orbital system, is a force in the direction (0,0,1).
		Similarly, m is the mass of the orbital system when the orbital system moves at speed v, not its mass relative to observers with respect to whom the relative speed of the orbital system is v.
	home.att.net /~zei/TMKelso/orbital_system.htm (1830 words)

	oe magazine - Feature - Orbital Imaging (Site not responding. Last check: 2007-10-14)
		Because of the shape and symmetry of the orbital (1s, 2p, 3d, etc.), electrons with different kinetic energies are more or less likely to recombine and radiate.
		Figure 3 Obtaining this polar plot of harmonic intensities at various angles for a nitrogen molecule (top) involved recording the high-harmonic spectra for a set of 19 different angles of the molecular axis relative to the laser polarization axis, then normalizing that data to a spectrum from argon atoms to remove the calibration factors.
		First, tunnel ionization selectively chooses the highest occupied orbital, thus making it selective to the orbital that is most important for the chemical properties of molecules.
	www.oemagazine.com /fromTheMagazine/current/feature.html (1691 words)

	CelesTrak: "Orbital Coordinate Systems, Part I"
		Knowing that orbital element sets are generated by fitting observations to a trajectory based upon a particular orbital model is the second of our key aspects.
		Knowing the position alone would not be sufficient, since a satellite with zero velocity would fall to Earth while one with orbital velocity would not, even if the satellites start at the same physical location.
		Since the satellite's position is typically represented by a Keplerian orbital element set and the observer's position is given in latitude, longitude, and altitude above the Earth's surface, we cannot perform the calculation directly without first converting to a common coordinate frame.
	celestrak.com /columns/v02n01 (2099 words)

	CelesTrak: "Orbital Coordinate Systems, Part II"
		The goal, of course, was to be able to determine the position of the observer relative to an orbiting satellite to aid the process of visually acquiring or otherwise tracking the satellite from the ground.
		At the end of the last column, we had seen that it would be impossible to determine an observer's position in the ECI reference frame without knowing that observer's local sidereal time, that is, the angle between the observer's meridian (longitude) and the vernal equinox.
		This vector, however, is in the ECI system and to generate look angles, we need it to be in the topocentric-horizon system shown in Figure 1.
	www.celestrak.com /columns/v02n02 (1150 words)

	Orbital Operations Manual - Aligning, Syncing, and Docking with a Space Station
		The orbital plane always passes thru the center of the earth, but may be tilted to any angle relative to the equator.
		If you have two objects that orbit the same object, their orbital planes will either be exactly the same or they will cross each other along a straight line.
		The arrow points to the direction of the velocity vector, which is the direction that you must thrust to match speeds with the ISS.
	smithplanet.com /stuff/orbiter/orbitaloperations.htm (10596 words)

	Orbits in 2D
		The velocity vector is, of course, changing as the position vector is changing.
		Note that the energy is negative; the positive kinetic energy equals (on average) one half the absolute value of the potential energy (the Virial theorem again!) and the result is that the total energy is ½ the average potential energy.
		Here is another way of presenting the results: plots displaying the position of the particle on the orbit and the velocity of the particle on the hodograph at a series of equally spaced times.
	www.physics.csbsju.edu /orbit/orbit.2d.html (1468 words)

	Mean orbital elements
		Mean orbital elements average the effects of gravitational forces between planets.
		By using orbital elements referred to epoch J2000, the orbits of the planets are described in a coordinate system that is based on the position the vernal equinox will have at J2000.
		The effect of nutation (the Earth's axis is nodding) is ignored since positions are relative to the mean ecliptic of J2000.
	home.att.net /~srschmitt/planetorbits.html (1103 words)

	VSEPR and HYBRID ORBITALS
		It is important to note that the number of atomic orbitals that go into a hybrid orbital scheme is equal to the number of resulting hybrid orbitals, whether or not the hybrid orbitals contain bonding or non-bonding electron pairs.
		For a trigonal planar XY3 molecule with sp2 hybrid orbitals it is convenient to choose the two p orbitals to be px and pV and to choose one of the X-Y bonds to lie along the positive X axis.
		For the case of a sn3 hybrid orbital scheme it is convenient to orient the coordinate system at the center of a cube with x, y and z axes coming out of the face centers.
	faculty.plattsburgh.edu /gerald.kokoszka/che430/vsepr_and_hybrid_orbitals.htm (1591 words)

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