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{{distinguish|Elliptic coordinates}}


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The '''ecliptic coordinate system''' is a [[celestial coordinate system]] commonly used for representing the positions and [[orbit]]s of [[Solar System]] objects. Because most [[planets]] (except [[Mercury (planet)|Mercury]]), and many [[small solar system bodies]] have orbits with small [[inclination]]s to the [[ecliptic]], it is convenient to use it as the  
[[fundamental plane (spherical coordinates)|fundamental plane]]. The system's [[Origin_(mathematics)|origin]] can be either the center of the [[Sun]] or the center of the [[Earth]], its primary direction is towards the vernal (northbound) [[equinox]], and it has a [[Orientation (vector space)|right-handed]] convention. It may be implemented in [[Spherical coordinate system|spherical]] or [[Cartesian coordinate system|rectangular]] coordinates.<ref>
{{cite book
| author = Nautical Almanac Office, U.S. Naval Observatory
| coauthors = H.M. Nautical Almanac Office, Royal Greenwich Observatory
| title = Explanatory Supplement to the Astronomical Ephemeris and the American Ephemeris and Nautical Almanac
| publisher = H.M. Stationery Office, London
| year = 1961
|pages=24-27}}</ref>
 
[[File:Ecliptic grid globe.png|thumb|Earth-centered '''Ecliptic coordinates''' as seen from outside the [[celestial sphere]]. Ecliptic longitude (red) is measured along the [[ecliptic]] from the vernal [[equinox]]. Ecliptic latitude (yellow) is measured perpendicular to the ecliptic. A full globe is shown here, although high-latitude coordinates are seldom seen except for certain [[comet]]s and [[asteroid]]s.]]
 
== Primary direction ==
 
[[File:Ecliptic vs equator small.gif|thumb|The apparent motion of the [[Sun]] along the ecliptic (red) as seen on the inside of the [[celestial sphere]]. Ecliptic coordinates appear in (red). The [[celestial equator]] (blue) and the [[Equatorial coordinate system|equatorial coordinates]] (blue), being inclined to the ecliptic, appear to wobble as the Sun advances.]]
 
{{also|Axial precession|Nutation}}
 
The [[celestial equator]] and the [[ecliptic]] are slowly moving due to [[Perturbation_(astronomy)|perturbing forces]] on the [[Earth]], therefore the [[Orientation_(geometry)|orientation]] of the primary direction, their intersection at the [[Northern Hemisphere]] vernal [[equinox]], is not quite fixed. A slow motion of Earth's axis, [[Axial_precession|precession]], causes a slow, continuous turning of the coordinate system westward about the poles of the [[ecliptic]], completing one circuit in about 26,000 years. Superimposed on this is a smaller motion of the [[ecliptic]], and a small oscillation of the Earth's axis, [[nutation]].<ref>
''Explanatory Supplement'' (1961), pp. 20, 28</ref><ref>
{{cite book
| last1 = U.S. Naval Observatory
| first1=Nautical Almanac Office
| editor = P. Kenneth Seidelmann
| title = Explanatory Supplement to the Astronomical Almanac
| publisher = University Science Books, Mill Valley, CA
| year = 1992
| isbn = 0-935702-68-7
|pages=11-13}}
</ref>
In order to reference a coordinate system which can be considered as fixed in space, these motions require specification of the [[equinox]] of a particular date, known as an [[Epoch_(astronomy)|epoch]], when giving a position in ecliptic coordinates. The three most commonly used are:
*Mean equinox of a standard epoch (usually [[Epoch_(astronomy)|J2000.0]], but may include B1950.0, B1900.0, etc.)
:is a fixed standard direction, allowing positions established at various dates to be compared directly.
*Mean equinox of date
:is the intersection of the [[ecliptic]] of "date" (that is, the ecliptic in its position at "date") with the ''mean'' equator (that is, the equator rotated by [[Axial_precession|precession]] to its position at "date", but free from the small periodic oscillations of [[nutation]]). Commonly used in planetary [[orbit]] calculation.
*True equinox of date
:is the intersection of the [[ecliptic]] of "date" with the ''true'' equator (that is, the mean equator plus [[nutation]]). This is the actual intersection of the two planes at any particular moment, with all motions accounted for.
A position in the ecliptic coordinate system is thus typically specified ''true equinox and ecliptic of date'', ''mean equinox and ecliptic of J2000.0'', or similar. Note that there is no "mean ecliptic", as the ecliptic is not subject to small periodic oscillations.<ref>
{{cite book
| last = Meeus
| first = Jean
| title = Astronomical Algorithms
| publisher = Willmann-Bell, Inc., Richmond, VA
| year = 1991
|page=137
|ISBN=0-943396-35-2 }}</ref>
 
==Spherical coordinates==
 
{| class="wikitable" style="float:right;"
|+<br>'''Summary of notation for ecliptic coordinates'''<ref>''Explanatory Supplement'' (1961), sec. 1G</ref>
| rowspan="2" bgcolor="#89CFF0" | &nbsp;
| colspan="3" align="center" bgcolor="#89CFF0" | '''spherical'''
| rowspan="2" align="center" bgcolor="#89CFF0" | '''rectangular'''
|- bgcolor="#89CFF0" align="center"
| longitude
| latitude
| distance
|- align="center"
| bgcolor="#89CFF0" | '''geocentric'''
| {{math|''&lambda;''}}
| {{math|''&beta;''}}
| {{math|''&Delta;''}}
| &nbsp;
|- align="center"
| bgcolor="#89CFF0" | '''heliocentric'''
| {{math|''l''}}
| {{math|''b''}}
| {{math|''r''}}
| {{math|''x''}}, {{math|''y''}}, {{math|''z''}}<ref group="note">Occasional use; {{math|''x''}}, {{math|''y''}}, {{math|''z''}} are usually reserved for [[Equatorial coordinate system|equatorial coordinates]].</ref>
|-
| colspan="5" | {{Reflist|group="note"}}
|}
 
'''Ecliptic longitude''' or celestial longitude (symbols: heliocentric <math>l</math>, geocentric <math>\lambda</math>) measures the angular distance of an object along the [[ecliptic]] from the primary direction. Like [[right ascension]] in the [[equatorial coordinate system]], the primary direction (0° ecliptic longitude) points from the Earth towards the Sun at the vernal [[equinox]] of the Northern Hemisphere. Because it is a right-handed system, ecliptic longitude is measured positive eastwards in the fundamental plane (the ecliptic) from 0° to 360°.
 
'''Ecliptic latitude''' or celestial latitude (symbols: heliocentric <math>b</math>, geocentric <math>\beta</math>), measures the angular distance of an object from the [[ecliptic]] towards the north (positive) or south (negative) [[ecliptic pole]]. For example, the [[Ecliptic_pole|north ecliptic pole]] has a celestial latitude of +90°.
 
'''Distance''' is also necessary for a complete spherical position (symbols: heliocentric <math>r</math>, geocentric <math>\mathit\Delta</math>). Different distance units are used for different objects. Within the [[Solar System]], [[astronomical unit]]s are used, and for objects near the [[Earth]], [[Earth_radius|Earth radii]] or [[kilometer]]s are used.
 
=== In ancient times ===
 
Historically, ecliptic longitude was measured using twelve ''[[Astrological_sign|signs]]'', each of 30° longitude, a legacy of [[astrology]]. The signs approximately corresponded to the [[constellation]]s crossed by the ecliptic. Longitudes were specified in signs, degrees, minutes, and seconds; for instance a longitude of [[Image:leo.svg|12px]] 19° 55' 58" was 19°.933 east of the start of the sign [[Leo_(astrology)|Leo]], which was 120° from the [[equinox]].<ref>
{{cite web
|url=http://books.google.com/books?id=z3gRvA2J3DYC&source=gbs_navlinks_s
|title=A Compleat System of Astronomy
|first=Charles
|last=Leadbetter
|year=1742
|publisher=J. Wilcox, London
|page=94}}, at [http://books.google.com/books Google books]; numerous examples of this notation appear throughout the book.</ref>
 
== Rectangular coordinates ==
 
[[File:Heliocentric rectangular ecliptic.png|thumb|Heliocentric ecliptic coordinates. The [[Origin_(mathematics)|origin]] is the center of the [[Sun]]. The fundamental [[Plane_(geometry)|plane]] is the plane of the [[ecliptic]]. The primary direction (the ''x'' axis) is the vernal [[equinox]]. A [[right-handed]] convention specifies a ''y'' axis 90° to the east in the fundamental plane; the ''z'' axis points toward the north [[ecliptic pole]]. The reference frame is relatively stationary, aligned with the vernal equinox.]]
 
There is a [[Cartesian coordinate system|rectangular]] variant of ecliptic coordinates often used in [[orbit]]al calculation. It has its [[Origin_(mathematics)|origin]] at the center of the [[Sun]], its fundamental [[Plane_(geometry)|plane]] in the plane of the ecliptic, its primary direction (the <math>x</math> axis) toward the vernal [[equinox]], that is, the place where the [[Sun]] crosses the [[celestial equator]] in a northward direction in its annual apparent circuit around the [[ecliptic]], and a [[right-handed]] convention, specifying a <math>y</math> axis 90° to the east in the fundamental plane and a <math>z</math> axis perpendicular to the <math>x</math>-<math>y</math> plane in a right-handed sense.<ref>
''Explanatory Supplement'' (1961), pp. 20, 27</ref>
 
These rectangular coordinates are related to the corresponding spherical coordinates by
 
::<math>x = r \cos b \cos l</math>
 
::<math>y = r \cos b \sin l</math>
 
::<math>z = r \sin b</math>.
 
== Conversion between celestial coordinate systems ==
{{main|Celestial coordinate system}}
 
=== Converting Cartesian vectors ===
==== Conversion from ecliptic coordinates to equatorial coordinates ====
<math>
\begin{bmatrix}
  x_{equatorial} \\
  y_{equatorial} \\
  z_{equatorial} \\
\end{bmatrix}
=
\begin{bmatrix}
  1 & 0 & 0 \\
  0 & \cos \epsilon & -\sin \epsilon \\
  0 & \sin \epsilon &  \cos \epsilon \\
\end{bmatrix} \! \cdot \!
\begin{bmatrix}
  x_{ecliptic} \\
  y_{ecliptic} \\
  z_{ecliptic} \\
\end{bmatrix}
</math><ref>
''Explanatory Supplement'' (1992), pp. 555-558</ref>
 
==== Conversion from equatorial coordinates to ecliptic coordinates ====
<math>
\begin{bmatrix}
  x_{ecliptic} \\
  y_{ecliptic} \\
  z_{ecliptic} \\
\end{bmatrix}
=
\begin{bmatrix}
  1 & 0 & 0 \\
  0 & \cos \epsilon & \sin \epsilon \\
  0 & -\sin \epsilon &  \cos \epsilon \\
\end{bmatrix} \! \cdot \!
\begin{bmatrix}
  x_{equatorial} \\
  y_{equatorial} \\
  z_{equatorial} \\
\end{bmatrix}
</math>
 
where <math>\epsilon</math> is the [[obliquity of the ecliptic]].
 
== See also ==
* [[Celestial coordinate system]]
*[[Ecliptic]]
* [[Ecliptic pole]]s, where the ecliptic latitude is ±90°
*[[Equinox]]
 
== External links ==
* [http://www.dur.ac.uk/john.lucey/users/solar_year.html The Ecliptic: the Sun's Annual Path on the Celestial Sphere] Durham University Department of Physics
* [http://stars.astro.illinois.edu/celsph.html MEASURING THE SKY A Quick Guide to the Celestial Sphere] James B. Kaler, University of Illinois
 
==Notes and references==
{{reflist}}
 
{{Celestial coordinate systems}}
 
[[Category:Celestial coordinate system]]

Revision as of 01:36, 28 October 2013

Template:Distinguish

The ecliptic coordinate system is a celestial coordinate system commonly used for representing the positions and orbits of Solar System objects. Because most planets (except Mercury), and many small solar system bodies have orbits with small inclinations to the ecliptic, it is convenient to use it as the fundamental plane. The system's origin can be either the center of the Sun or the center of the Earth, its primary direction is towards the vernal (northbound) equinox, and it has a right-handed convention. It may be implemented in spherical or rectangular coordinates.[1]

Earth-centered Ecliptic coordinates as seen from outside the celestial sphere. Ecliptic longitude (red) is measured along the ecliptic from the vernal equinox. Ecliptic latitude (yellow) is measured perpendicular to the ecliptic. A full globe is shown here, although high-latitude coordinates are seldom seen except for certain comets and asteroids.

Primary direction

The apparent motion of the Sun along the ecliptic (red) as seen on the inside of the celestial sphere. Ecliptic coordinates appear in (red). The celestial equator (blue) and the equatorial coordinates (blue), being inclined to the ecliptic, appear to wobble as the Sun advances.

Template:Also

The celestial equator and the ecliptic are slowly moving due to perturbing forces on the Earth, therefore the orientation of the primary direction, their intersection at the Northern Hemisphere vernal equinox, is not quite fixed. A slow motion of Earth's axis, precession, causes a slow, continuous turning of the coordinate system westward about the poles of the ecliptic, completing one circuit in about 26,000 years. Superimposed on this is a smaller motion of the ecliptic, and a small oscillation of the Earth's axis, nutation.[2][3]

In order to reference a coordinate system which can be considered as fixed in space, these motions require specification of the equinox of a particular date, known as an epoch, when giving a position in ecliptic coordinates. The three most commonly used are:

  • Mean equinox of a standard epoch (usually J2000.0, but may include B1950.0, B1900.0, etc.)
is a fixed standard direction, allowing positions established at various dates to be compared directly.
  • Mean equinox of date
is the intersection of the ecliptic of "date" (that is, the ecliptic in its position at "date") with the mean equator (that is, the equator rotated by precession to its position at "date", but free from the small periodic oscillations of nutation). Commonly used in planetary orbit calculation.
  • True equinox of date
is the intersection of the ecliptic of "date" with the true equator (that is, the mean equator plus nutation). This is the actual intersection of the two planes at any particular moment, with all motions accounted for.

A position in the ecliptic coordinate system is thus typically specified true equinox and ecliptic of date, mean equinox and ecliptic of J2000.0, or similar. Note that there is no "mean ecliptic", as the ecliptic is not subject to small periodic oscillations.[4]

Spherical coordinates


Summary of notation for ecliptic coordinates[5]
  spherical rectangular
longitude latitude distance
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There isn't any deal too small. Property agents who are keen to find time for any deal even if the commission is small are the ones you want on your aspect. Additionally they present humbleness and might relate with the typical Singaporean higher. Relentlessly pursuing any deal, calling prospects even without being prompted. Even if they get rejected a hundred times, they still come again for more. These are the property brokers who will find consumers what they need eventually, and who would be the most successful in what they do. 4. Honesty and Integrity

This feature is suitable for you who need to get the tax deductions out of your PIC scheme to your property agency firm. It's endorsed that you visit the correct site for filling this tax return software. This utility must be submitted at the very least yearly to report your whole tax and tax return that you're going to receive in the current accounting 12 months. There may be an official website for this tax filling procedure. Filling this tax return software shouldn't be a tough thing to do for all business homeowners in Singapore.

A wholly owned subsidiary of SLP Worldwide, SLP Realty houses 900 associates to service SLP's fast rising portfolio of residential tasks. Real estate is a human-centric trade. Apart from offering comprehensive coaching applications for our associates, SLP Realty puts equal emphasis on creating human capabilities and creating sturdy teamwork throughout all ranges of our organisational hierarchy. Worldwide Presence At SLP International, our staff of execs is pushed to make sure our shoppers meet their enterprise and investment targets. Under is an inventory of some notable shoppers from completely different industries and markets, who've entrusted their real estate must the expertise of SLP Worldwide.

If you're looking for a real estate or Singapore property agent online, you merely need to belief your instinct. It is because you don't know which agent is sweet and which agent will not be. Carry out research on a number of brokers by looking out the internet. As soon as if you find yourself certain that a selected agent is dependable and trustworthy, you'll be able to choose to utilize his partnerise find you a house in Singapore. More often than not, a property agent is considered to be good if she or he places the contact data on his web site. This is able to imply that the agent does not thoughts you calling them and asking them any questions regarding properties in Singapore. After chatting with them you too can see them of their office after taking an appointment.

Another method by way of which you could find out whether the agent is sweet is by checking the feedback, of the shoppers, on the website. There are various individuals would publish their comments on the web site of the Singapore property agent. You can take a look at these feedback and the see whether it will be clever to hire that specific Singapore property agent. You may even get in contact with the developer immediately. Many Singapore property brokers know the developers and you may confirm the goodwill of the agent by asking the developer.
Buying, selling and renting HDB and personal residential properties in Singapore are simple and transparent transactions. Although you are not required to engage a real property salesperson (generally often known as a "public listed property developers In singapore agent") to complete these property transactions, chances are you'll think about partaking one if you are not accustomed to the processes concerned.

Professional agents are readily available once you need to discover an condominium for hire in singapore In some cases, landlords will take into account you more favourably in case your agent comes to them than for those who tried to method them by yourself. You need to be careful, nevertheless, as you resolve in your agent. Ensure that the agent you are contemplating working with is registered with the IEA – Institute of Estate Brokers. Whereas it might sound a hassle to you, will probably be worth it in the end. The IEA works by an ordinary algorithm and regulations, so you'll protect yourself in opposition to probably going with a rogue agent who prices you more than they should for his or her service in finding you an residence for lease in singapore.

There isn't any deal too small. Property agents who are keen to find time for any deal even if the commission is small are the ones you want on your aspect. Additionally they present humbleness and might relate with the typical Singaporean higher. Relentlessly pursuing any deal, calling prospects even without being prompted. Even if they get rejected a hundred times, they still come again for more. These are the property brokers who will find consumers what they need eventually, and who would be the most successful in what they do. 4. Honesty and Integrity

This feature is suitable for you who need to get the tax deductions out of your PIC scheme to your property agency firm. It's endorsed that you visit the correct site for filling this tax return software. This utility must be submitted at the very least yearly to report your whole tax and tax return that you're going to receive in the current accounting 12 months. There may be an official website for this tax filling procedure. Filling this tax return software shouldn't be a tough thing to do for all business homeowners in Singapore.

A wholly owned subsidiary of SLP Worldwide, SLP Realty houses 900 associates to service SLP's fast rising portfolio of residential tasks. Real estate is a human-centric trade. Apart from offering comprehensive coaching applications for our associates, SLP Realty puts equal emphasis on creating human capabilities and creating sturdy teamwork throughout all ranges of our organisational hierarchy. Worldwide Presence At SLP International, our staff of execs is pushed to make sure our shoppers meet their enterprise and investment targets. Under is an inventory of some notable shoppers from completely different industries and markets, who've entrusted their real estate must the expertise of SLP Worldwide.

If you're looking for a real estate or Singapore property agent online, you merely need to belief your instinct. It is because you don't know which agent is sweet and which agent will not be. Carry out research on a number of brokers by looking out the internet. As soon as if you find yourself certain that a selected agent is dependable and trustworthy, you'll be able to choose to utilize his partnerise find you a house in Singapore. More often than not, a property agent is considered to be good if she or he places the contact data on his web site. This is able to imply that the agent does not thoughts you calling them and asking them any questions regarding properties in Singapore. After chatting with them you too can see them of their office after taking an appointment.

Another method by way of which you could find out whether the agent is sweet is by checking the feedback, of the shoppers, on the website. There are various individuals would publish their comments on the web site of the Singapore property agent. You can take a look at these feedback and the see whether it will be clever to hire that specific Singapore property agent. You may even get in contact with the developer immediately. Many Singapore property brokers know the developers and you may confirm the goodwill of the agent by asking the developer.
Buying, selling and renting HDB and personal residential properties in Singapore are simple and transparent transactions. Although you are not required to engage a real property salesperson (generally often known as a "public listed property developers In singapore agent") to complete these property transactions, chances are you'll think about partaking one if you are not accustomed to the processes concerned.

Professional agents are readily available once you need to discover an condominium for hire in singapore In some cases, landlords will take into account you more favourably in case your agent comes to them than for those who tried to method them by yourself. You need to be careful, nevertheless, as you resolve in your agent. Ensure that the agent you are contemplating working with is registered with the IEA – Institute of Estate Brokers. Whereas it might sound a hassle to you, will probably be worth it in the end. The IEA works by an ordinary algorithm and regulations, so you'll protect yourself in opposition to probably going with a rogue agent who prices you more than they should for his or her service in finding you an residence for lease in singapore.

There isn't any deal too small. Property agents who are keen to find time for any deal even if the commission is small are the ones you want on your aspect. Additionally they present humbleness and might relate with the typical Singaporean higher. Relentlessly pursuing any deal, calling prospects even without being prompted. Even if they get rejected a hundred times, they still come again for more. These are the property brokers who will find consumers what they need eventually, and who would be the most successful in what they do. 4. Honesty and Integrity

This feature is suitable for you who need to get the tax deductions out of your PIC scheme to your property agency firm. It's endorsed that you visit the correct site for filling this tax return software. This utility must be submitted at the very least yearly to report your whole tax and tax return that you're going to receive in the current accounting 12 months. There may be an official website for this tax filling procedure. Filling this tax return software shouldn't be a tough thing to do for all business homeowners in Singapore.

A wholly owned subsidiary of SLP Worldwide, SLP Realty houses 900 associates to service SLP's fast rising portfolio of residential tasks. Real estate is a human-centric trade. Apart from offering comprehensive coaching applications for our associates, SLP Realty puts equal emphasis on creating human capabilities and creating sturdy teamwork throughout all ranges of our organisational hierarchy. Worldwide Presence At SLP International, our staff of execs is pushed to make sure our shoppers meet their enterprise and investment targets. Under is an inventory of some notable shoppers from completely different industries and markets, who've entrusted their real estate must the expertise of SLP Worldwide.

If you're looking for a real estate or Singapore property agent online, you merely need to belief your instinct. It is because you don't know which agent is sweet and which agent will not be. Carry out research on a number of brokers by looking out the internet. As soon as if you find yourself certain that a selected agent is dependable and trustworthy, you'll be able to choose to utilize his partnerise find you a house in Singapore. More often than not, a property agent is considered to be good if she or he places the contact data on his web site. This is able to imply that the agent does not thoughts you calling them and asking them any questions regarding properties in Singapore. After chatting with them you too can see them of their office after taking an appointment.

Another method by way of which you could find out whether the agent is sweet is by checking the feedback, of the shoppers, on the website. There are various individuals would publish their comments on the web site of the Singapore property agent. You can take a look at these feedback and the see whether it will be clever to hire that specific Singapore property agent. You may even get in contact with the developer immediately. Many Singapore property brokers know the developers and you may confirm the goodwill of the agent by asking the developer.
Buying, selling and renting HDB and personal residential properties in Singapore are simple and transparent transactions. Although you are not required to engage a real property salesperson (generally often known as a "public listed property developers In singapore agent") to complete these property transactions, chances are you'll think about partaking one if you are not accustomed to the processes concerned.

Professional agents are readily available once you need to discover an condominium for hire in singapore In some cases, landlords will take into account you more favourably in case your agent comes to them than for those who tried to method them by yourself. You need to be careful, nevertheless, as you resolve in your agent. Ensure that the agent you are contemplating working with is registered with the IEA – Institute of Estate Brokers. Whereas it might sound a hassle to you, will probably be worth it in the end. The IEA works by an ordinary algorithm and regulations, so you'll protect yourself in opposition to probably going with a rogue agent who prices you more than they should for his or her service in finding you an residence for lease in singapore.

There isn't any deal too small. Property agents who are keen to find time for any deal even if the commission is small are the ones you want on your aspect. Additionally they present humbleness and might relate with the typical Singaporean higher. Relentlessly pursuing any deal, calling prospects even without being prompted. Even if they get rejected a hundred times, they still come again for more. These are the property brokers who will find consumers what they need eventually, and who would be the most successful in what they do. 4. Honesty and Integrity

This feature is suitable for you who need to get the tax deductions out of your PIC scheme to your property agency firm. It's endorsed that you visit the correct site for filling this tax return software. This utility must be submitted at the very least yearly to report your whole tax and tax return that you're going to receive in the current accounting 12 months. There may be an official website for this tax filling procedure. Filling this tax return software shouldn't be a tough thing to do for all business homeowners in Singapore.

A wholly owned subsidiary of SLP Worldwide, SLP Realty houses 900 associates to service SLP's fast rising portfolio of residential tasks. Real estate is a human-centric trade. Apart from offering comprehensive coaching applications for our associates, SLP Realty puts equal emphasis on creating human capabilities and creating sturdy teamwork throughout all ranges of our organisational hierarchy. Worldwide Presence At SLP International, our staff of execs is pushed to make sure our shoppers meet their enterprise and investment targets. Under is an inventory of some notable shoppers from completely different industries and markets, who've entrusted their real estate must the expertise of SLP Worldwide.

If you're looking for a real estate or Singapore property agent online, you merely need to belief your instinct. It is because you don't know which agent is sweet and which agent will not be. Carry out research on a number of brokers by looking out the internet. As soon as if you find yourself certain that a selected agent is dependable and trustworthy, you'll be able to choose to utilize his partnerise find you a house in Singapore. More often than not, a property agent is considered to be good if she or he places the contact data on his web site. This is able to imply that the agent does not thoughts you calling them and asking them any questions regarding properties in Singapore. After chatting with them you too can see them of their office after taking an appointment.

Another method by way of which you could find out whether the agent is sweet is by checking the feedback, of the shoppers, on the website. There are various individuals would publish their comments on the web site of the Singapore property agent. You can take a look at these feedback and the see whether it will be clever to hire that specific Singapore property agent. You may even get in contact with the developer immediately. Many Singapore property brokers know the developers and you may confirm the goodwill of the agent by asking the developer., Buying, selling and renting HDB and personal residential properties in Singapore are simple and transparent transactions. Although you are not required to engage a real property salesperson (generally often known as a "public listed property developers In singapore agent") to complete these property transactions, chances are you'll think about partaking one if you are not accustomed to the processes concerned.

Professional agents are readily available once you need to discover an condominium for hire in singapore In some cases, landlords will take into account you more favourably in case your agent comes to them than for those who tried to method them by yourself. You need to be careful, nevertheless, as you resolve in your agent. Ensure that the agent you are contemplating working with is registered with the IEA – Institute of Estate Brokers. Whereas it might sound a hassle to you, will probably be worth it in the end. The IEA works by an ordinary algorithm and regulations, so you'll protect yourself in opposition to probably going with a rogue agent who prices you more than they should for his or her service in finding you an residence for lease in singapore.

There isn't any deal too small. Property agents who are keen to find time for any deal even if the commission is small are the ones you want on your aspect. Additionally they present humbleness and might relate with the typical Singaporean higher. Relentlessly pursuing any deal, calling prospects even without being prompted. Even if they get rejected a hundred times, they still come again for more. These are the property brokers who will find consumers what they need eventually, and who would be the most successful in what they do. 4. Honesty and Integrity

This feature is suitable for you who need to get the tax deductions out of your PIC scheme to your property agency firm. It's endorsed that you visit the correct site for filling this tax return software. This utility must be submitted at the very least yearly to report your whole tax and tax return that you're going to receive in the current accounting 12 months. There may be an official website for this tax filling procedure. Filling this tax return software shouldn't be a tough thing to do for all business homeowners in Singapore.

A wholly owned subsidiary of SLP Worldwide, SLP Realty houses 900 associates to service SLP's fast rising portfolio of residential tasks. Real estate is a human-centric trade. Apart from offering comprehensive coaching applications for our associates, SLP Realty puts equal emphasis on creating human capabilities and creating sturdy teamwork throughout all ranges of our organisational hierarchy. Worldwide Presence At SLP International, our staff of execs is pushed to make sure our shoppers meet their enterprise and investment targets. Under is an inventory of some notable shoppers from completely different industries and markets, who've entrusted their real estate must the expertise of SLP Worldwide.

If you're looking for a real estate or Singapore property agent online, you merely need to belief your instinct. It is because you don't know which agent is sweet and which agent will not be. Carry out research on a number of brokers by looking out the internet. As soon as if you find yourself certain that a selected agent is dependable and trustworthy, you'll be able to choose to utilize his partnerise find you a house in Singapore. More often than not, a property agent is considered to be good if she or he places the contact data on his web site. This is able to imply that the agent does not thoughts you calling them and asking them any questions regarding properties in Singapore. After chatting with them you too can see them of their office after taking an appointment.

Another method by way of which you could find out whether the agent is sweet is by checking the feedback, of the shoppers, on the website. There are various individuals would publish their comments on the web site of the Singapore property agent. You can take a look at these feedback and the see whether it will be clever to hire that specific Singapore property agent. You may even get in contact with the developer immediately. Many Singapore property brokers know the developers and you may confirm the goodwill of the agent by asking the developer., Buying, selling and renting HDB and personal residential properties in Singapore are simple and transparent transactions. Although you are not required to engage a real property salesperson (generally often known as a "public listed property developers In singapore agent") to complete these property transactions, chances are you'll think about partaking one if you are not accustomed to the processes concerned.

Professional agents are readily available once you need to discover an condominium for hire in singapore In some cases, landlords will take into account you more favourably in case your agent comes to them than for those who tried to method them by yourself. You need to be careful, nevertheless, as you resolve in your agent. Ensure that the agent you are contemplating working with is registered with the IEA – Institute of Estate Brokers. Whereas it might sound a hassle to you, will probably be worth it in the end. The IEA works by an ordinary algorithm and regulations, so you'll protect yourself in opposition to probably going with a rogue agent who prices you more than they should for his or her service in finding you an residence for lease in singapore.

There isn't any deal too small. Property agents who are keen to find time for any deal even if the commission is small are the ones you want on your aspect. Additionally they present humbleness and might relate with the typical Singaporean higher. Relentlessly pursuing any deal, calling prospects even without being prompted. Even if they get rejected a hundred times, they still come again for more. These are the property brokers who will find consumers what they need eventually, and who would be the most successful in what they do. 4. Honesty and Integrity

This feature is suitable for you who need to get the tax deductions out of your PIC scheme to your property agency firm. It's endorsed that you visit the correct site for filling this tax return software. This utility must be submitted at the very least yearly to report your whole tax and tax return that you're going to receive in the current accounting 12 months. There may be an official website for this tax filling procedure. Filling this tax return software shouldn't be a tough thing to do for all business homeowners in Singapore.

A wholly owned subsidiary of SLP Worldwide, SLP Realty houses 900 associates to service SLP's fast rising portfolio of residential tasks. Real estate is a human-centric trade. Apart from offering comprehensive coaching applications for our associates, SLP Realty puts equal emphasis on creating human capabilities and creating sturdy teamwork throughout all ranges of our organisational hierarchy. Worldwide Presence At SLP International, our staff of execs is pushed to make sure our shoppers meet their enterprise and investment targets. Under is an inventory of some notable shoppers from completely different industries and markets, who've entrusted their real estate must the expertise of SLP Worldwide.

If you're looking for a real estate or Singapore property agent online, you merely need to belief your instinct. It is because you don't know which agent is sweet and which agent will not be. Carry out research on a number of brokers by looking out the internet. As soon as if you find yourself certain that a selected agent is dependable and trustworthy, you'll be able to choose to utilize his partnerise find you a house in Singapore. More often than not, a property agent is considered to be good if she or he places the contact data on his web site. This is able to imply that the agent does not thoughts you calling them and asking them any questions regarding properties in Singapore. After chatting with them you too can see them of their office after taking an appointment.

Another method by way of which you could find out whether the agent is sweet is by checking the feedback, of the shoppers, on the website. There are various individuals would publish their comments on the web site of the Singapore property agent. You can take a look at these feedback and the see whether it will be clever to hire that specific Singapore property agent. You may even get in contact with the developer immediately. Many Singapore property brokers know the developers and you may confirm the goodwill of the agent by asking the developer.[note 1]
43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

Ecliptic longitude or celestial longitude (symbols: heliocentric , geocentric ) measures the angular distance of an object along the ecliptic from the primary direction. Like right ascension in the equatorial coordinate system, the primary direction (0° ecliptic longitude) points from the Earth towards the Sun at the vernal equinox of the Northern Hemisphere. Because it is a right-handed system, ecliptic longitude is measured positive eastwards in the fundamental plane (the ecliptic) from 0° to 360°.

Ecliptic latitude or celestial latitude (symbols: heliocentric , geocentric ), measures the angular distance of an object from the ecliptic towards the north (positive) or south (negative) ecliptic pole. For example, the north ecliptic pole has a celestial latitude of +90°.

Distance is also necessary for a complete spherical position (symbols: heliocentric , geocentric ). Different distance units are used for different objects. Within the Solar System, astronomical units are used, and for objects near the Earth, Earth radii or kilometers are used.

In ancient times

Historically, ecliptic longitude was measured using twelve signs, each of 30° longitude, a legacy of astrology. The signs approximately corresponded to the constellations crossed by the ecliptic. Longitudes were specified in signs, degrees, minutes, and seconds; for instance a longitude of 19° 55' 58" was 19°.933 east of the start of the sign Leo, which was 120° from the equinox.[6]

Rectangular coordinates

Heliocentric ecliptic coordinates. The origin is the center of the Sun. The fundamental plane is the plane of the ecliptic. The primary direction (the x axis) is the vernal equinox. A right-handed convention specifies a y axis 90° to the east in the fundamental plane; the z axis points toward the north ecliptic pole. The reference frame is relatively stationary, aligned with the vernal equinox.

There is a rectangular variant of ecliptic coordinates often used in orbital calculation. It has its origin at the center of the Sun, its fundamental plane in the plane of the ecliptic, its primary direction (the axis) toward the vernal equinox, that is, the place where the Sun crosses the celestial equator in a northward direction in its annual apparent circuit around the ecliptic, and a right-handed convention, specifying a axis 90° to the east in the fundamental plane and a axis perpendicular to the - plane in a right-handed sense.[7]

These rectangular coordinates are related to the corresponding spherical coordinates by

.

Conversion between celestial coordinate systems

Mining Engineer (Excluding Oil ) Truman from Alma, loves to spend time knotting, largest property developers in singapore developers in singapore and stamp collecting. Recently had a family visit to Urnes Stave Church.

Converting Cartesian vectors

Conversion from ecliptic coordinates to equatorial coordinates

[8]

Conversion from equatorial coordinates to ecliptic coordinates

where is the obliquity of the ecliptic.

See also

External links

Notes and references

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

Template:Celestial coordinate systems

  1. 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.

    My blog: http://www.primaboinca.com/view_profile.php?userid=5889534
  2. Explanatory Supplement (1961), pp. 20, 28
  3. 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.

    My blog: http://www.primaboinca.com/view_profile.php?userid=5889534
  4. 20 year-old Real Estate Agent Rusty from Saint-Paul, has hobbies and interests which includes monopoly, property developers in singapore and poker. Will soon undertake a contiki trip that may include going to the Lower Valley of the Omo.

    My blog: http://www.primaboinca.com/view_profile.php?userid=5889534
  5. Explanatory Supplement (1961), sec. 1G
  6. Template:Cite web, at Google books; numerous examples of this notation appear throughout the book.
  7. Explanatory Supplement (1961), pp. 20, 27
  8. Explanatory Supplement (1992), pp. 555-558


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