`` The white colonnaded, cedar-roofed Southern mansion is directly traceable via the grey and buff stone of grey-skied England to the golden stucco of one particular part of the blue South, the Palladian orbit stretching out from Vicenza: the old mind of Andrea Palladio still smiles from behind many an old rocking chair on a Southern porch, the deep friezes of his architectonic music rise firm above the shallower freeze in the kitchen, his feeling for light and shade brings a glitter from a tall mint julep, his sense of columns framing the warm velvet night has brought together a million couple of mating lips ''.

Now it is easy to convince oneself that the set X could not possibly be measurable for any rotation-invariant countably additive finite measure on S. Hence one couldn't expect to find an algorithm to find a point in each orbit, without using the axiom of choice.

With de Broglie's suggestion of the existence of electron matter waves in 1924, and for a short time before the full 1926 Schrödinger equation treatment of hydrogen like atom, a Bohr electron " wavelength " could be seen to be a function of its momentum, and thus a Bohr orbiting electron was seen to orbit in a circle at a multiple of its half-wavelength ( this historically incorrect Bohr model is still occasionally taught to students ).

After reaching orbit, the crew spent time adapting themselves to the zero-gravity environment and preparing the spacecraft for Trans Lunar Injection, the burn of the third stage rocket that would propel them to the Moon.

In Earth orbit, the crew faced multiple minor technical issues, including a potential problem with the environmental control system and the S-IVB third stage's attitude control system, that were eventually resolved or compensated for in preparation for departure towards the Moon.

After waking up on flight day four, the crew began preparations for the maneuver that would brake the spacecraft into orbit around the Moon, or lunar orbit insertion.

While over the far side of the Moon, the Command / Service Module's Service Propulsion System engine burned for six minutes and fifteen seconds, braking the spacecraft into an orbit around the Moon with a low point ( pericynthion ) of 58. 3 and a high point ( apocynthion ) of 170. 4 nautical miles ( 108. 0 and 315. 6 km, respectively ).

After entering lunar orbit, Young, Duke and Mattingly began preparations for the Descent Orbit Insertion ( DOI ) maneuver to further modify the spacecraft's orbital trajectory.

For the rest of the two spacecrafts ' pass over the near side of the Moon, Mattingly prepared to shift Casper to a circular orbit while Young and Duke prepared Orion for the descent to the lunar surface.

At this point, during tests of the CSM's steerable rocket engine in preparation for the burn to modify the craft's orbit, a malfunction occurred in the engine's backup system.

Apollo 16 would spend one less day in lunar orbit after surface exploration had been completed to afford the crew contingency time to compensate for any further problems and to conserve expendables.

Flight day seven was to be Young's and Duke's third and final day on the lunar surface, for they would return to orbit to rejoin Ken Mattingly in the Command / Service Module following the day's moonwalk.

The burn to alter the CSM ’ s orbit to that desired for the sub-satellite had been cancelled ; as a result, the sub-satellite lasted half of its anticipated lifetime.

) Conservation of angular momentum applies to J, but not to L or S ; for example, the spin – orbit interaction allows angular momentum to transfer back and forth between L and S, with the total remaining constant.

There are also natural mechanisms for variation including climate oscillations, changes in solar activity, variations in the Earth's orbit, and volcanic activity.

Comets are assumed to orbit other stars, but they are far too small for all current methods of detecting extrasolar planets.

In order to obtain exact agreement with experiment, it is necessary to include relativistic and spin orbit terms, both of which are only really important for heavy atoms.

This galaxy has also been cited in studies of dark matter, because the stars in the outer ring orbit too quickly for their collective mass.

Tombaugh discovered nearly 800 asteroids during his search for Pluto and years of follow-up searches looking for another candidate for the postulated Planet X. Tombaugh is also credited with the discovery of comet C / 1931 AN, though its orbit is currently unknown.

For example, NASA's workhorse space shuttle used cryogenic hydrogen / oxygen propellant as its primary means of getting into orbit, and all of the rockets built for the Soviet space program by Sergei Korolev used liquid oxygen as their oxidiser.

Because centrifugal force increases according to the square of, one would expect gravity to be cancelled for an object travelling 17 times faster than the Earth's rotation, and in fact satellites in low orbit at the equator complete 17 full orbits in one day.

To draw the orbit with a pair of compasses the centre of the circle should be offset from the focus by an amount equal to the eccentricity multiplied by the radius.

The pair orbit each other once every 13 days.

If the motion is part of an orbit, or if the stars have similar radial velocities and the difference in their proper motions is small compared to their common proper motion, the pair is probably physical.

Planets that orbit just one star in a binary pair are said to have " S-type " orbits, whereas those that orbit around both stars have " P-type " or " circumbinary " orbits.

This can happen either because the pair forms a binary star, i. e. a binary system of stars in mutual orbit, gravitationally bound to each other, or because it is an optical double, a chance alignment of two stars in the sky that lie at different distances.

If the relative motion of a pair determines a curved arc of an orbit, or if the relative motion is small compared to the common proper motion of both stars, it may be concluded that the pair is in mutual orbit as a binary star.

If the motion is part of an orbit, or if the stars have similar radial velocities or the difference in their proper motions is small compared to their common proper motion, the pair is probably physical.

* June 15, 2007: the engine in the Centaur upper stage of an Atlas V shut down early, leaving its payload — a pair of National Reconnaissance Office ocean surveillance satellites — in a lower than intended orbit.

Significant recent spacecraft are the NASA-ESA Solar-Terrestrial Relations Observatory ( STEREO ) pair of spacecraft launch in 2006 into solar orbit and Radiation Belt Storm Probes ( RBSP ) to be launch in 2012 into a highly elliptical Earth-orbit.

Vostok 5 (, Orient 5 or East 5 ) was a joint mission of the Soviet space program together with Vostok 6 ; as with the previous pair of Vostok 3 and Vostok 4 the two Vostok spacecraft came close to one another in orbit and established a radio link.

The pair orbit each other every 5 years with an estimated separation that varies from 5. 4 to 12. 0 Astronomical Units.

The primary consists of a pair of stars with nearly identical mass that orbit each other over a period of 357 days with a large eccentricity of about 0. 81.

Usually, two of the stars form a close binary system, and the third orbits this pair at a distance much larger than that of the binary orbit.

Systems with up to six stars are known ; for example, Castor ( Alpha Geminorum ), which consists of a binary pair in a distant orbit of two closer binary pairs.

Another system known with six stars is ADS 9731, which consists of a pair of two triple systems, each of which is a spectroscopic binary in orbit together with a single star.

This system consists of a pair of stars in a tight, circular orbit with a period of 0. 3336 days, or eight hours and 23 seconds.

The trio of rocket engines used in the first stage of the American Atlas I and Atlas II launch vehicles, arranged in a " row ", used parallel staging in a similar way: the outer pair of engines existed as a jettisonable pair which would, after they shut down, drop away with the lowermost outer " skirt " structure of the booster, leaving the central " sustainer " engine to complete the first stage's engine burn towards apogee or orbit.

For its first few years in orbit, KEO will sport a pair of wings 10 meters across that will aid in its spotting from Earth.

To raise the dancer out of his personal, pedestrian self, Mr. Nikolais has experimented with relating him to a larger, environmental orbit.

Thus the term asteroid has come increasingly to refer specifically to the small bodies of the inner Solar System out to the orbit of Jupiter, which are usually rocky or metallic.

Astrometry has also been used to support claims of extrasolar planet detection by measuring the displacement the proposed planets cause in their parent star's apparent position on the sky, due to their mutual orbit around the center of mass of the system.

Thus a circular geosynchronous orbit has a radius of 42164 km ; 42164 / 6378. 1

The rotation itself is represented by the angular velocity vector Ω, which is normal to the plane of the orbit ( using the right-hand rule ) and has magnitude given by:

50000 Quaoar, for example, has a near-circular orbit close to the ecliptic.

Many dwarf galaxies may orbit a single larger galaxy ; the Milky Way has at least a dozen such satellites, with an estimated 300 – 500 yet to be discovered.

A NASA multi-center Technology Applications Assessment Team led from the Johnson Spaceflight Center, has as of January 2011 described " Nautilus-X ", a concept study for a multi-mission space exploration vehicle useful for missions beyond low earth orbit ( LEO ), of up to 24 months duration for a crew of up to six.

The other focal point, marked with a lighter dot, has no physical significance for the orbit.

In Niven's obscure story The Color of Sunfire it has entire continents covered with Slaver sunflowers ( bred as defense for Thrint manors, they focus sunlight using silver leaves as parabolic reflectors ), giving it an appearance from orbit of having " silver eyes ".

In 1984, Physicist Richard A. Muller postulated that the Sun has a heretofore undetected companion, either a brown dwarf or a red dwarf, in an elliptical orbit within the Oort cloud.

Orcus has an orbit similar in inclination and eccentricity to Pluto's.

Mercury, the smallest planet in the Solar System, has the most eccentric orbit.

An open orbit has the shape of a hyperbola ( when the velocity is greater than the escape velocity ), or a parabola ( when the velocity is exactly the escape velocity ).

A closed orbit has the shape of an ellipse.

An orbit around any star, not just the Sun, has a periastron and an apastron.

The analysis so far has been two dimensional ; it turns out that an unperturbed orbit is two-dimensional in a plane fixed in space, and thus the extension to three dimensions requires simply rotating the two-dimensional plane into the required angle relative to the poles of the planetary body involved.

This definition has been both praised and criticized, and remains disputed by some scientists since it excludes many objects of planetary mass based on where or what they orbit.

*, which has the most elliptical orbit ( its eccentricity is 0. 33 ), with the perihelion halfway between Uranus and Neptune

< span style =" font-size: 90 %;"> ( Red Faction )</ span ></ ref > After sending a distress call to the Earth Defense Force Parker destroys the missile defense system, so that he can stow away on a shuttle to an Ultor space station in Martian orbit to deactivate a laser defense system without getting shot down .< ref > Hendrix: Ultor has a system of laser satellites orbiting Mars.

In the context of spaceflight, a satellite is an object which has been placed into orbit by human endeavour.

The United States Space Surveillance Network ( SSN ), a division of The United States Strategic Command, has been tracking objects in Earth's orbit since 1957 when the Soviets opened the space age with the launch of Sputnik I.

However, despite showing some promise, none of them has come close to achieving orbit yet due to problems with finding the most efficient propulsion system.