How to calculate declination of Moon?

How to calculate declination of Moon?

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Is there any way to calculate declination of Moon for any day?
I'll subtract inclination of Earth on the ecliptic from the result. I'll get Moon's the shortest angular distance from Sun.
Thanks for all answers!

The complexity of the formula depends on the precision you need. We can make a crude approximation with two sine waves: one for the Moon's travel eastward around the ecliptic over a tropical month

$$delta_1 = 23.4^circ sin {2 pi (u - 10.75) over 27.32158}$$

and one for the Moon's travel north or south of the ecliptic over a draconic month

$$delta_2 = 5.1^circ sin {2 pi (u - 20.15) over 27.21222}$$

both modified as the Moon goes faster or slower over an anomalistic month

$$u = t - 0.48 sin {2 pi (t - 3.45) over 27.55455}$$

where t is the number of days since 2000-01-01 12:00 TT (J2000.0). Then

$$delta = delta_1 + delta_2$$

is within 1° of the Moon's geocentric declination most of the time. For a topocentric declination, subtract 1° sin (observer's geographic latitude).

If you need higher precision, see van Flandern and Pulkkinen 1979 or Meeus 1999 for more complicated formulas.

Note: the u and t offsets above are near a 0° longitude crossing, an ascending node, and an apogee in January 2000 but are tweaked to minimize RMS differences from JPL HORIZONS lunar positions for 2000-2018.

Moonpos : Compute the Right Ascension and Declination of the Moon at.

The method is derived from the Chapront ELP2000/82 Lunar Theory (Chapront-Touze and Chapront, 1983), as described by Jean Meeus (1998, Chpt. 47). Meeus quotes an approximate accuracy of 10" in longitude and 4" in latitude, but he does not give the time range for this accuracy. Comparison of this procedure with the example in “Astronomical Algorithms” reveals a very small discrepancy (

1 km) in the distance computation, but no difference in the position calculation.

Celestial Observation

Deneb = Dec 45°
Arcturus = Dec 19°
Alpha Centuri = Dec -61°
If you were in London would Deneb be circumpolar?

D greater than or equal to 90 - L
90 - L (51) = 39
45 is greater than 39 so Deneb is circumpolar
Arcturus (19N) is less than 39 so is not circumpolar but seasonal
Alpha Centuri has a declination -61 is less than 39 and so would not be viewable from London.

Question 2

How far south would you have to be to see Alpha Centuri?
Tip - treat negative numbers as positive and then convert them afterwards.

So to see it add 90 to -61 which makes 29 so you would have to travel to latitude 29N to see this star.

Question 3

How far south would you have to be to see Alpha Centuri as a circumpolar star?

To see it as a circumpolar star = 90 - 61 = 29 so you would have to be at least 29° south to see it as a southern circumpolar star.

Question 4

State whether or not each of these stars would be:
Visible from New York (41°N) or Sydney (34°S) and circumpolar from either city or seasonal.
Also state the minimum latitude (north and south) they would have to be seen from to be circumpolar.
Key: New York = NY, Sydney = SY.

Question Table of Locations
Star Dec. V C ML
Capella 46N
Betelgeux 7N
Vega 39N
Antares 26S
Alpha Crux 63S

Min Latitude?


D = Declination
>= = Greater than or equal to
L = Latitude

An easy way to calculate Parallels & Contraparallels in your birth chart

You may have heard of declinations, parallels and contraparallels in astrology but not known how they are calculated or why they are used. We’ll delve into what they are astronomically and how they are interpreted in this article.

Now using our tools, they are very easy to calculate. Simply create a birth chart and scroll down to the bottom to the section titled “Declinations” - there is a link there to open chart settings. Then simply click “View Declinations” and close the settings box.

Your birth chart declinations will look something like this:

You can also view declinations, parallels and contraparallels within a Synastry chart with our synastry tool. The idea is the same as with the birth chart, except the parallels and contraparallels represent the connections between two individual’s charts.

What exactly are Declinations?

When we draw your chart, we depict it as a perfect circle. It appears as if all the planets are on the same plane. In a rough sense, they are. They zodiac is a "belt" of the fixed stars that run along the the ecliptic, which is the path the Sun takes along the earth. This is the same plane that all of the planets are on.

Now because the Earth is tilted as it rotates, the ecliptic plane is actually 23.4° degrees apart from our Equator. This ecliptic plane wraps around our Earth, only crossing our equator at two points. The rest of the ecliptic plane falls either in the Northern or Southern hemisphere.

This makes sense - during part of the year the Sun moves further to the North (in the North that would be summer), and during other parts, it moves further to the South (in the North, that would be winter). Guess what? All the planets do the same thing. Sometimes they are more tilted to the North, sometimes to the South.

Currently, our flat plane of the astrological birth chart has no way to depicting if they are in the North or South when in a sign. Depending on the time of year and location, they could be in Leo in the North or in Leo in the South, for example. This is where declination comes in.

Declination is an extra point of information which lets us know if relative to the equator, if the planet is North or South and to what latitude on the celestial sphere it holds. Take a look at this graphic to visualize this concept:

As you see, the black line is the equator, and the red line is the path of the ecliptic (on which the zodiac lies and the Sun travels through). The declination is the latitude of any given body on the ecliptic from the celestial equator.

So how does Astrology use Declinations?

If planets are at the same declination North or South, they are considered "Parallel". If they are at the same declination but one is in the North and the other is in the South, they are considered "Contraparallel".

Using the declinations listed in the first table earlier in this article, we see that Mercury's declination is at 20° 37' S. Mars meanwhile is at 21° 36' S. These two are parallel, as they are a degree apart and both in the Southern hemisphere. This is usually interpreted very similarly to the conjunction.

Planets in the same sign and declination appear to be right next to each other in the sky! For this reason, if they are also conjunct, this aspect would be greatly amplified.

Meanwhile, Neptune's declination was 8° 54' S and the North Node's was at 8° 13' N. They are at the same declination but in opposite hemispheres and thus they are considered contraparallel. This is usually interpreted very similarly to the opposition.

Our tools offer a very simple way to view the Parallel and Contraparallels in your chart without needing to calculate them by hand. For birth charts, we use an orb of 1, while for synastry charts we use a tighter orb of 0.7 because there are so many planets involved.

How are Declinations used in Synastry?

In Synastry, planets from two individual’s charts are compared. If one individual’s planet is at the same declination and hemisphere as another individual’s planet, they are considered to be parallel.

Let’s take the example of Kim Kardashian and her mother Kris Jenner. See their synastry chart in full here. Here are their declinations:

Interestingly, they only have one parallel - Kris Jenner’s North Node in 22° 59' S is parallel Kim Kardashian’s Mars in 22° 17' S. In their own personal charts, both of these planets fall into the sign of Sagittarius making this a point of strong resonance with both of them. The parallel amplifies the effect of the conjunction. Since the North Node represents the growth of the soul in more subtle ways - Kris’s soul growth is very intertwined with Kim’s choices of action and exploration.

This offers a starting point for the interpretation of parallels and contraparallels in charts. I hope this feature will be useful to you!

Moon Out of Bounds

If the declination of the moon in a chart is greater than 23 degrees and 27 minutes north or south, this is considered a moon out of bounds.

But, as I’m often asked, what does that mean?

If you or someone you know has a moon out of bounds–found predominantly in the signs of Gemini, Cancer, Sagittarius, and Capricorn–they are likely to exist emotionally in a realm outside of traditional expectations. The emotional outlaw, one with a moon out of bounds tends to make their own rules concerning how to feel about/react to a given stimulus. If living within the bounds of societal constructs, they often tire of dominant trends and experience a pull to escape to a new or remote place. In the city or the country, these are the people who live on society’s fringes in some way or another.


A beautiful trait of the out of bounds moon is a wide scope of awareness, an unimpeded vision of worldly affairs. Having a moon out of bounds lends to active witnessing and questioning of norms, and ultimately existing outside of them. For the person with a moon out of bounds, as the declination increases, so does their cognitive distance from dominant societal trends.

A person with a moon declination of 28 North or South might simply be unable to understand why people behave as they do however, at 24 North or South, the out of bounds moon person has a closer understanding of society, and an easier time relating to common people. They exist on the fringe, but can traverse this boundary back and forth with comfort. When the moon out of bounds is more distant, a person may be most comfortable in subcultures that deviate from the norm. Clues to these cultures can be found in the Moon’s sign.

Star Quality

If a person with the moon out of bounds finds themself embedded in normative mass culture, or simply at a conventional event, they may attempt to dissolve the distance between themselves and the commoners around them. Perhaps they drown their awareness in alcohol/substances, or become known for repeated Irish exits. In some cases, the moon out bounds transforms into the life of the party, inviting others step outside of norms and see things from their unique perspective.

Viewership is often a back-and-forth trade between out-of-bounds-mooners and society. The moon out of of bounds is always witnessing mass culture from the outside, and just the same, common people often develop fascinations with out of bounds personalities. People enjoy watching the wildcard: he or she says or does things that others find questionable and unpermitted, yet also entertaining and sometimes genius. Famous examples of these characters (charts linked) are Freddie Mercury, Ozzy Osbourne, Amy Winehouse, Tracy Morgan, Cher, Albert Einstein, Ursula K. Le Guin, and Kurt Cobain.

The specific shades of a moon out of bounds are shown by the Moon’s condition in the birth chart. What is your Moon sign, and how does your Moon relate to other planets energetically? Does it reside near the IC, MC, DC, or Ascendant? Is it accompanied by any other planets dwelling out of bounds, or aligned with a specific star?

I would love to help you understand and synthesize these factors, and how your Moon out of bounds fits in with the totality of your chart. Reading charts and teaching astrology are my favorite things to do!


The measurement of angular distances to the North or South of the celestial equator which is an extension of the Earth's equator projected out into space. The declination is measured in degrees, minutes and seconds of arc. A planet is said to have a positive declination when it is located north of the celestial equator and negative declination when located South of it. The value always lies between 0 and 90 degrees, with 0 degrees being a location on the celestial equator, +90 degrees at the North Celestial Pole and –90 degrees at the South Celestial Pole. A planet's exact location can be given when the values of the declination and right ascension are taken together.

If one compares the coordinate system of the celestial sphere with that of the Earth – the former being a projected extension of the latter into outer space – the declination is equivalent to position of latitude on the Earth's surface.

The declination is not to be confused with the ecliptic latitude which measures the vertical angle of a planet to the equator.

2 thoughts on &ldquo Calculating Moon Rise and Set &rdquo

How do I calculate moonrise and moonset based on altitude degrees? If I’m on 1 meters above sea level and moon will rise after mountain height (15 degrees above sea level).

There isn’t a direct way of calculating this in AstroExcel, but the approach I would take is calculate Moon Rise, this gives you the time the Moon is on the horizon. Now, if you assume the Earth rotates with respect to the stars once in 23:56min on hour is

15 degrees so you can expect the moon to rise above the mountain 1 hour later, if you need better precession then you would need to also take into account the Motion of the Moon.

An alternative approach is to use an iterative / trial and error approach, calculate moon rise to get time of moon rise then use the ‘Moon’ function around an hour after moon rise to calculate the RA and Dec of the moon, then convert ra and dec to Altitude using ‘AltAz’ function. Either do this for lots of times around that time and plot the results and read off the graph or simply keep plugging in times until you get to exactly 15 degrees in altitude.

Saturn sextile Chiron dates:

1st: on February 9th, 2021, at 6° Aquarius 16′ (first)

2nd: on June 24th, 2021, at 12° Aquarius 44’Rx

3rd: on November 26th, 2021, at 8° Aquarius 40’ (final)


See more



The Moon is Full in Capricorn on June 24, 2021, at 2:40 PM EDT. The following is the chart wheel of the Capricorn Full Moon in the year 2021. [caption


The Moon is Full in Capricorn on June 24, 2021, at 2:40 PM EDT.

The following is the chart wheel of the Capricorn Full Moon in the year 2021.

Full Moon Chart: Capricorn Full Moon on June 24, 2021

A Full Moon occurs when the Sun in Cancer forms an opposition to the Moon in Capricorn. The Full Moon is a time of culmination and the promise of fulfillment of that which was started at the New Moon. It is an emotional time – a time of romance, fertilization, and relationships.

The Cancer-Capricorn polarity concerns the balance between the private life, domesticity, the need for a home base, and nurturance (represented by Cancer) versus the public life, career, reputation, and accountability (represented by Capricorn). Attachments and love are ruled by Cancer, while achievements and rewards/punishments are ruled by Capricorn. In some ways, this polarity deals with the balance between unconditional love and conditional love. Cancer encourages us to value our home base and our roots, while Capricorn persuades us to consider our sense of duty and responsibility along public or professional lines. While Cancer may be content to be dependent, Capricorn urges us to be grown-up and responsible.

Cancer represents the origin, and Capricorn represents the goal. Neglecting either end of the axis will surely backfire on us. Ideally, a balance should be found between the two energies, and this is what the Full Moon invites us to do. This Full Moon is about balancing our commitment to our career and families. Something has been building inside of us, and now is the time when the energy of the cosmos fairly demands that we let it out. Over the next two weeks, we will discover what this means for us. For now, we can’t sit on our feelings. We need to express them.

The Full Moon illuminates this conflict between roots and direction. With the Moon full and bright in the sky, symbolic “illumination” occurs in our own lives. However, these new feelings and revelations are emotional ones, as there is a sense of emotions bursting forth into our consciousness. It’s time to express ourselves and to let things out of our systems. Of course, we might want to exercise some care while doing so, knowing that what is coming out of us is fresh, unrefined, and not particularly rational as yet.

This lunation harmonizes with Jupiter, suggesting a sense of confidence and ease associated with realizations and epiphanies occurring now.

This phase of the Moon occurs at 3 degrees and 28 minutes of Capricorn, affecting planets at approximately 0 to 8 degrees of the Cardinal signs (Aries, Cancer, Libra, and Capricorn) the most.

How to calculate declination of Moon? - Astronomy

Versione sperimentale - 17 feb. 2014

Type the UT date and time in the first box below, and then press the 'calculate' button.

The program will calculate various parameters for the Moon at the instant You have chosen.

This page works out some values of astronomical interest. The central formula for Moon position is approximate. Finer details like physical (as opposed to optical) librations and the nutations have been neglected.

Formulas have been simplified from J. Meeus (MEEUS J., &ldquoAstronomical Algorithms&rdquo, Wilman-Bell, 1991) chapter 51 (sub-earth and sub-solar points, PA of pole and Bright Limb, Illuminated fraction).

The librations figures are usually 0.05 to 0.2 degree different from the results given by Harry Jamieson&rsquos &ldquoLunar Observer&rsquos Tool Kit&rdquo (a DOS software). Some of the code is adapted from a BASIC program by George Rosenberg (ALPO).

How to calculate declination of Moon? - Astronomy

I have used declinations since I started learning astrology in the late󈨀’s and often wondered why people stopped working with them. I think the problem started when the American Ephemeris dropped them from their tables and it was not easy to find them from any other source. Now we have astrology programs that include declinations I think many people will start working with them again. Also Magi astrologers work extensively with these measurements and so have re-activated astrologers’ interest. Only use an orb of one degree for declinations, anything else is far too wide.

There are two systems of measurement.
• Declinations and Right Ascension measure the planets in relation to the Earth.
• Longitude and latitude measure planets along the ecliptic.

Declination in the sky is the same as latitude on Earth, so if a planet is 23N26 Declination it is overhead 23N26 latitude on Earth.

Latitude in Astrology is latitude of planets either side of the ecliptic, it is not in any way the same as declination.

It is really worth the little bit of extra effort to use declinations as they cover situations that are not so easily seen in longitude astrology and will give added emphasis to planetary conjunctions and other aspects. For example, a Jupiter-Pluto aspect in parallel of declination will be just as powerful as a Jupiter-Pluto conjunction in longitude, but astrologers who don’t use declinations could overlook this and be puzzled as to why a person with the parallel is very successful in a specific area.

For example: here is the chart of Paul McCartney, a founding member of the Beatles, one of the most successful musical groups in history. Their success was global and massive, and after the group disbanded, Paul McCartney founded another highly successful band.

As you can see, he has a Sagittarius MC with the ruler, Jupiter, conjunct the Sun in the 4th house. This would certainly give some measure of success, but look what happens when you factor in Declinations:

This map is quite easy to read. The table on the left shows the position of the planets in declination. The left column shows planets in North Declination and the right column show planets in South Declination. The table on the right show the planets declination, longitude and longitude equivalent.

You can easily see that there is a Jupiter-Sun-Pluto-IC parallel of declination all at 23N17-23N44 and contraparallel the MC at 23S17. Even though Pluto is nowhere near Sun and Jupiter in the natal longitude chart it is closely factored through declination. The connection to the MC enabled Paul to use the massive amount of success this offers in his career.

The USA has a strong Sun-Jupiter-Venus-Mars parallel, with Pluto contraparallel. I have always thought that this clearly describes the success and power of this country.

(click to enlarge) click here to see USA Sibly natal chart USA Sibly

Barack Obama has a lovely Mercury-Venus-Pluto-IC rolling parallel of declination from 19N55 (IC) – 21N38 (Venus) This clearly gives him sweet and persuasive speech. So even though these planets are not in longitude aspect they are still very effective. This is strengthened and affects society as well as his own career because of a contraparallel to Jupiter-Saturn-MC.

(click to enlarge graph) (click here to see natal chart Barack Obama

Notice that this declination pattern aligns very nicely with the declination of the USA Sibly chart’s Vertex and anti-Vertex, indicating a destined association.

If planets are both conjunct and parallel, then this is an extremely powerful position in a natal chart as it means that these two planets are in exactly the same place in the sky. If the orb is exact on both the conjunction and the parallel, then one planet occults the other.

As declinations are a measurement from the Earth’s equator, parallels give the ability to manifest things on Earth. I consider them a particularly strong ‘aspect’.

I have always thought that Out of Bounds Planets (planets that move beyond 23NS26 declination – the limit of the Sun’s declination movement) give the ability to think outside the square or behave in ways that are not the norm for your society.

Here is an illustration that shows how declinations are found: The line that shows the ecliptic is meant to be curved, but I have been unable to find a way to make it so on the diagram.

For futher information read antiscia article in the Aspects section and Out-of Bounds in the Technical Astrology section.

Copyright (c) Alice Portman 2009

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Watch the video: 10 Declination of the Moon (June 2022).


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